+5508QN0Qવᾲ
Journal of the Heat Transfer Society of Japan٠વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻٠ 

‫ޟ‬વᾲ‫ޠ‬ේⓂߩᦠ߈ᣇHow to Write a Manuscript of Dennetsuવᾲ ᄥ㇢㧔વᾲᄢቇ㧕
Taro DENNETSU (Dennetsu University)ߪߓ߼ߦ
એਅߩᵈᗧ੐㗄ߦ⇐ᗧߒߡ㧘ේⓂࠍ૞ᚑߔࠆߎ
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⚿ߐߖࠆ㧚ේⓂߩᮡḰᒻᑼࠍ⴫ 1 ߦ␜ߔ㧚

↪⚕ࠨࠗ࠭
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1 ⴕߩሼᢙ
ⴕㅍࠅ⴫ 1 ේⓂߩᮡḰᒻᑼ
A4 ❑㐳(210mm297mm)㧘ᮮᦠ߈਄૛⊕ 30mm㧘ਅ૛⊕ 30mm
Ꮐ૛⊕ 20mm㧘ฝ૛⊕ 20mm
1 Ბ⚵㧘45mm ೨ᓟ޽ߌࠆ
㧔10 ࡐࠗࡦ࠻(100.3514mm)ߢ 8 ⴕಽ㧕
2 Ბ⚵㧘1 Ბ 80mm㧘Ბ㑆㓒૛⊕ 10mm
10 ࡐࠗࡦ࠻(100.3514mm)
ᧄᢥ(Windows) MS ᣿ᦺ૕(Macintosh) ⚦᣿ᦺ૕⷗಴ߒ(Windows) MS 䉯䉲䉾䉪૕
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1 Ბ޽ߚࠅ 23 ᢥሼ⒟ᐲ15 ࡐࠗࡦ࠻(150.3514=5.271mm)
1 ࡍ࡯ࠫ޽ߚࠅ 45 ⴕߚߛߒ㧘⷗಴ߒߩ೨ߪ 1 ⴕࠍᝌ౉ ⷗಴ߒߥߤ
⷗಴ߒߪࠧࠪ࠶ࠢ૕ࠍ↪޿㧘ᄢ⷗಴ߒߪ࠮ࡦ࠲
࡝ࡦࠣߒ೨ߦ 1 ⴕⓨߌࠆ㧚ਛ⷗಴ߒߪ 2.2 ߥߤߩࠃ߁ߦ⇟ภࠍߟߌᏀነߖߔࠆ㧚⷗಴ߒߩᢙሼߪඨ
ⷺߣߔࠆ㧚ⴕߩᆎ߼ߦ㧘᜝ᒐ߿ࡂࠗࡈࡦ╬߇ߎߥ޿ࠃ߁ߦ⑌ೣಣℂࠍⴕ߁ߎߣ㧚 ฏ⺒ὐฏ⺒ὐߪ 㧘߅ࠃ߮ 㧚ࠍ↪޿㧘 ‫ߪޕ ߿ޔ‬ㆱߌࠆߎߣ㧚
࿑ߦߟ޿ߡ
࿑ਛߩࡈࠜࡦ࠻ߪᧄᢥਛߩࡈࠜࡦ࠻ߣหߓ߽ߩ
ࠍ↪޿ࠆߎߣ㧚 ෳ⠨ᢥ₂ߦߟ޿ߡ
 ⇟ภߩઃߌᣇ
ෳ⠨ᢥ₂ߪᧄᢥਛߩ⹥ᒰߔࠆ୘ᚲߦ[1]㧘[2,4]㧘
[6-10]ߩࠃ߁ߦ⇟ภࠍ౉ࠇߡ␜ߔ㧚 ෳ⠨ᢥ₂ߩᒁ߈ᣇ
⪺⠪ฬ㧘⹹ฬ㧘Ꮞ㧘ᐕ㧘㗁ߩ㗅ߣߔࠆ㧚Ფภ㗁ߩᡷ߹ࠆ㔀⹹(Therm. Sci. Eng.ߥߤ)ߪᏎ-ภᢙߩࠃ߁ߦߒߡภᢙ߽౉ࠇࠆ㧚⪺⠪ฬߪ㧘ฬሼ㧘ฬ೨ߩࠗ࠾ࠪࡖ࡞㧚ߩࠃ߁ߦ⸥ㅀߔࠆ㧚㔀⹹ฬߩ⋭⇛ᴺ
ߪ⑼ቇᛛⴚᢥ₂ㅦႎ(JICST)ߦḰ᜚ߔࠆ㧚ᢥ₂ߩ⴫㗴ߪ⋭⇛ߔࠆ㧚ᣣᧄ⺆ߩ㔀⹹࡮ᦠ☋ߩ႐วߪ⪺⠪ฬ࡮ᦠฬߣ߽⋭⇛ߒߥ޿㧚ෳ⠨ᢥ₂
[1] વᾲᄥ㇢㧘વᾲ⧎ሶ㧘ᣣᧄᯏ᪾ቇળ⺰ᢥ㓸 B✬㧘80-100 (1999) 3000㧚
[2] Incropera, F. P. and Dewitt, D. P., Fundamentals
of Heat and Mass Transfer, John Wiley & Sons
(1976).
[3] Smith, A. et al., Therm. Sci. Eng., 7-5 (1999) 10.
[4] ጊ↰ᄥ㇢㧘߿ߐߒ޿વᾲ㧘ᾲ⻠␠ (1980).
ේⓂ૞ᚑ↪ߩ࠹ࡦࡊ࡟࡯࠻㧔MS-WORD㧕ߪਅ⸥ߩવᾲቇળߩࡎ࡯ࡓࡍ࡯ࠫࠃࠅ࠳࠙ࡦࡠ࡯࠼ߢ
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ォタ⸵⻌㗿↳⺧ࡈࠜ࡯ࡓ
http://www.htsj.or.jp/reqcopy.html

Vol. 43

2004

No. 178Januaryવ  ᾲ⋡ ᰴ‫ޛ‬વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻‫ޜ‬વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯ศ↰ ⧷↢㧔੩ㇺᄢቇ㧕㨯㨯㨯㨯㨯㨯㨯㨯 ᾲߩવ᠞ㅦᐲߪή㒢ᄢ߆㕖ࡈ࡯࡝ࠛ໧㗴ߩේὐ㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯⨹ᧁ ାᐘ㧔㕒ጟᄢቇ㧕㨯㨯㨯㨯㨯㨯㨯㨯 Ⴚ⇇ጀᣇ⒟ᑼߩᢙℂ 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯ችౝ ᢅ㓶㧔᧲੩Ꮏᬺᄢቇ㧕㨯㨯㨯㨯㨯㨯㨯㨯 ޽ࠆⷺᐲ߆ࠄߪߣߎߣࠎૃߡ޿ߡ㧘޽ࠆⷺᐲ߆ࠄߪૃߡ㕖ߥࠆ⃿ߣ౞ᩇ   㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯ศ↰ ⧷↢㧔੩ㇺᄢቇ㧕㨯㨯㨯㨯㨯㨯㨯 ࠛࡀ࡞ࠡ࡯ᑼࠍᎼࠆ 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 ↰Ꮉ ᱜੱ㧔ฬฎደᎿᬺᄢቇ㧕㨯㨯㨯㨯㨯㨯㨯  ⥄ὼኻᵹߩߩߤߩዊ㛽 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 ർ᧛ ஜਃ㧔⼾ᯅᛛⴚ⑼ቇᄢቇ㧕㨯㨯㨯㨯㨯㨯㨯 㐽ⓨ㑆♽ߩ߰ߊ኿વᾲ 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯ን᧛ ኼᄦ㧔਻Ꮊᄢቇ㧕㨯㨯㨯㨯㨯㨯㨯 ߧࠇߣ⴫㕙ᒛജ 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㜞↰ ଻ਯ㧔਻Ꮊᄢቇ㧕㨯㨯㨯㨯㨯㨯㨯 
ᄙሹ⾰ᇦ૕ౝߩᾲᵹേ 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯ਛጊ 㗼㧔㕒ጟᄢቇ㧕㨯㨯㨯㨯㨯㨯㨯 ‫ޛ‬ળ⼏ႎ๔‫ޜ‬╙㧠࿁ੂᵹᾲ‛⾰ャㅍ࿖㓙ળ⼏ 6*/6 ႎ๔ 䍃䍃䍃䍃䍃䍃䍃䍃䍃䍃䍃䍃䍃䍃 㐳㊁ 㕏ዏ㧔ฬฎደᎿᬺᄢቇ㧕㨯㨯㨯㨯㨯㨯㨯 ‫ޛ‬ㅊᖬ‫ޜ‬ࠣ࡝ࠟ࡞ᢎ᝼ㅤ෰ࠍᖬࠎߢ 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯ᐔ↰ ⾫㧔⦼ᶆᎿᬺᄢቇ㧕㨯㨯㨯㨯㨯㨯㨯 ࠣ࡝ࠣ࡞ᢎ᝼ߩᱫࠍᖬ߻ 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㐳ፉ ᤘ㧔ᘮᙥ⟵Ⴖᄢቇ㧕㨯㨯㨯㨯㨯㨯㨯 ‫ޛ‬ᡰㇱᵴേႎ๔‫ޜ‬ർ㒽ା⿧ᡰㇱᵴേႎ๔ 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯ᐔ↰ ືᄦ㧔ାᎺᄢቇ㧕㨯㨯㨯㨯㨯㨯㨯 ᧲ᶏᡰㇱᵴേႎ๔ 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 ർ᧛ ஜਃ㧔⼾ᯅᛛⴚ⑼ቇᄢቇ㧕㨯㨯㨯㨯㨯㨯㨯 ‫ⴕޛ‬੐ࠞ࡟ࡦ࠳࡯‫ ޜ‬㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 㨯㨯㨯㨯㨯㨯 ‫߅ޛ‬⍮ࠄߖ‫ޜ‬╙  ࿁ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓෳട↳ㄟᣇᴺ㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 㨯㨯㨯㨯㨯㨯㨯 ╙  ࿁ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓ⺰ᢥේⓂឭ಴ᣇᴺ㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 㨯㨯㨯㨯㨯㨯㨯 ᣣᧄવᾲቇળડ↹ㇱળਥ௅ߩࡈࠜ࡯࡜ࡓ㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 㨯㨯㨯㨯㨯㨯㨯 ᣣᧄવᾲቇળ࡮ቇ↢ળᆔຬળߩᵴേߦߟ޿ߡ㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 㨯㨯㨯㨯㨯㨯㨯 ‫ޟ‬વᾲ‫ޠ‬ળ๔ߩᦠ߈ᣇ 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 㨯㨯㨯㨯㨯㨯㨯 ੐ോዪ߆ࠄߩㅪ⛊ 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 㨯㨯㨯㨯㨯㨯㨯 ࠗࡦ࠲࡯ࡀ࠶࠻ᖱႎࠨ࡯ࡆࠬ  ٨http://www.htsj.or.jp/ᦨᣂߩળ๔࡮ⴕ੐ߩ੍ቯ╬ࠍឭଏ  ٨htsj@asahi-net.email.ne.jp੐ോዪ߳ߩㅪ⛊ߩ㔚ሶࡔ࡯࡞ߦࠃࠆฃઃ

ᣣᧄવᾲቇળ  ᐕᐲ㧔╙  ᦼ㧕ળ㐳࡮೽ળ㐳࡮ℂ੐࡮⋙੐ٟળ 㐳 ⩆㊁ ᢥਣ㧔⥰㢬Ꮏᬺ㜞╬ኾ㐷ቇᩞ㧕ٟ೽ળ㐳 ᄥ↰ ᾖ๺㧔᧲ർᄢቇ㧕  ዊỈ ↱ⴕ㧔㜞⍾ᾲቇᎿᬺ㧕ٟℂ ੐㐷಴ ᡽ೣ㧔૒⾐ᄢቇ㧕౞ጊ ㊀⋥㧔᧲ർᄢቇ㧕ർ᧛ ஜਃ㧔⼾ᯅᛛⴚ⑼ቇᄢቇ㧕ᅏጊ ༑ਭᄦ㧔ᐢፉᄢቇ㧕㜞ᯅ ୃ৻㧔᧲ർ㔚ജ㧕㜞↰ ଻ਯ㧔਻Ꮊᄢቇ㧕ㄭਭ ᱞ⟤㧔ർᶏ㆏ᄢቇ㧕ᐔ↰ ືᄦ㧔ାᎺᄢቇ㧕ᷡ᳓ᤘᲧฎ㧔਻Ꮊᄢቇ㧕ᄢේ ᢅᄦ㧔࠺ࡦ࠰࡯㧕ٟ⋙ ੐ ᦭౷ ᱜᙗ㧔᧲੩Ꮏᬺᄢቇ㧕દ⮮ ᱜᤘ㧔ᣣ┙⵾૞ᚲ㧕 ═ᧁ િ⧷㧔᧲੩ᄢቇ㧕␹᳗ ᢥੱ㧔⨙ၔᄢቇ㧕ᮮጊ ቁ↵㧔ጊᒻᄢቇ㧕⮮੗ ᾖ㊀㧔␹ᚭᄢቇ㧕┻⿧ ᩕବ㧔ንጊᄢቇ㧕ർ᧛ ㇌ᒾ㧔਻㔚Ꮏ㧕Journal of The Heat Transfer Society of Japan
Vol.43, No.178, January 2004

CONTENTS< One-Point Lectures to Pour Away “A Tiny Bone Stuck in One’s Throat”
Concerning Heat Transfer and Thermofluid Dynamics >One-Point Lectures to Pour Away “A Tiny Bone Stuck in One’s Throat”
Concerning Heat Transfer and Thermofluid Dynamics
Hideo YOSHIDA (Kyoto University)㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯1
On Non-Fourier Problem
Nobuyuki ARAKI (Shizuoka University)㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 2
Mathematical Aspect of Boundary-Layer Equation
Toshio MIYAUCHI (Tokyo Institute of Technology) 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 9
Sphere and Cylinder Which Are Thoroughly Similar from Some Angles,
But Are Falsely Similar from Other Angles
Hideo YOSHIDA (Kyoto University)㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 15
Around the Energy Equations
Masato TAGAWA (Nagoya Institute of Technology) 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 26
A Short Review on Buoyancy Induced Flows
Kenzo KITAMURA (Toyohashi University of Technology) 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 32
Radiative Heat Transfer in Enclosed System
Toshio TOMIMURA (Kyushu University) 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 38
Wetting and Surface Tension
Yasuyuki TAKATA (Kyushu University) 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 43
Heat and Fluid Flow in Porous Media
Akira NAKAYAMA (Shizuoka University) 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 49< Report on International Conference and Seminar>
Report on the 4th International Symposium on Turbulence, Heatand Mass Transfer (THMT-03), Antalya, Turkey        Yasutaka NAGANO (Nagoya Institute of Technology)㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 51< In Memorium >To the memory of late Professor U. Grigull
Masaru HIRATA (Shibaura Institute of Technology) 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 52
To the memory of late Professor Ulrich Grigull
Akira NAGASHIMA (Keio University) 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 53<Report on Branch Activity>
Report of Hokuriku-shin-etsu Branch
Tetsuo HIRATA (Shinshu University)㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 55

Report of Tokai Branch
Kenzo KITAMURA (Toyohashi University of Technology) 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 56<Calendar> 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 57<Announcements> 㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯 58વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻
One-Point Lectures to Pour Away “A Tiny Bone Stuck in One’s Throat”
Concerning Heat Transfer and Thermofluid Dynamicsศ↰ ⧷↢㧔੩ㇺᄢቇ㧕
Hideo YOSHIDA (Kyoto University)࿷ߔࠆ㧔․ቯߩߢߪߥߊᐢ⟵ߩ㧕ቇળߢߪ㧘୘ੱߪᣏੱߣߒߡീᒝߒߥ߇ࠄㅢࠅㆊ߉ߡ޿ߊ㧚㚟ߌ಴ߒߩᣏੱ㧘ߟ߹ࠅቇ↢ߪ㧘ᒰ㕙ߩࠧ࡯࡞ߦะߌ
ߡὶὐࠍวࠊߖߡὶࠆߚ߼㧘ࠬ࠲࡯࠻ὐઃㄭߢߪ
㚟ߌ⿷ߦߥࠅ߇ߜߢ޽ࠆ㧚ߘߩߚ߼ߦ㧘⿷߇߆ࠄ߹ࠅォୟߣ޿߁ਇ᷹ߩ੐ᘒ߽߅ߎߞߡߒ߹߁㧚߹ߚ㧘ߚߣ߃ὶࠆ᳇ᜬߜߪߥߊߣ߽㧘ቇ໧ߩㅴᱠߦ
઻ߞߡᣂߒߊቇ߱੐㗄߇Ⴧ߃ࠆߚ߼ߦ㧘߿߻ࠍᓧߕീᒝኻ⽎߆ࠄಾࠅ⪭ߣߐࠇߡߒ߹߁੐㗄߽ዋߥߊߥ޿㧚ߒ߆ߒ㧘ߘߩಾࠅ⪭ߣߐࠇߚ੐㗄ߩਛߦߪ㧘੹ߔߋᔅⷐߢߪߥ޿߆߽ߒࠇߥ޿߇㧘ߎࠇ߆ࠄቇ໧ࠍᷓ߼ߡ޿ߊㆊ⒟ߢߪਇนᰳߥⷐ⚛߇฽߹ࠇߡ޿ࠆ႐ว߽޽ࠆߛࠈ߁㧚 ᧄ․㓸ߢߪ㧘਄⸥ߩࠃ߁ߥⷞὐ߆ࠄ㧤࠹࡯ࡑࠍขࠅ਄ߍ㧘ฦ࠹࡯ࡑߦㅧ⹚ߩᷓ޿వ↢ᣇߦ⸃⺑ࠍ߅㗿޿ߒߚ㧚
㧔╩⠪ߩ႐วߪ㧘⽿છ਄㧘ᜂᒰߒߚ㧚㧕౨㗡ߦᒁ↪ߒߚၫ╩ଐ㗬ᢥ┨ਛߦ᣿⸥ߒߚࠊߌߢ
ߪߥ߆ߞߚ߇㧘ฦේⓂࠍ᜙⷗ߒߡ㧘ᓟᲑߢㅀߴߚ
ࠃ߁ߥⷞὐ߆ࠄ⧯޿ᣏੱࠍᔨ㗡ߦ߅޿ߡ㆏᩺ౝࠍ
ߒߡ޿ߚߛ޿ߚౝኈߣ߽ߥߞߡ޿ࠆߎߣࠍ⏕⹺ߢ߈ߚߎߣߪ᦭ࠅ㔍߆ߞߚ㧚 ೨ภߢߪ㧘વᾲࠪࡦࡐࠫ࠙ࡓߩ޽ࠅᣇ߇⼏⺰ߦߥߞߡ޿ߚ㧚⏕߆ߦ㧘↢りߩੱ㑆߇⼏⺰ࠍᾲߊᚢࠊߖࠆࠪࡦࡐࠫ࠙ࡓߪ㧘ቇળߩᵴജḮߣߒߡᦨ߽
㊀ⷐߣᕁ߁㧚ߘࠇߦኻߒ㧘ߎߩࠃ߁ߥ․㓸ડ↹ߪ㧘వߦ↢߹ࠇ㧘޽ࠆ޿ߪవߦߘߩ㆏ࠍᱠ߻⠪߆ࠄ㧘ᓟߦ↢߹ࠇ㧘޽ࠆ޿ߪᓟߦߘߩ㆏ࠍᱠ߻⠪߳ߩ㧘ᘏᗲߦḩߜߚ㆏ߒࠆߴߣߥࠅ㧘વᾲቇળߩ⾆㊀ߥࠕ࡯ࠞࠗࡉߩ৻ㇱߣߥࠆߎߣࠍ㗿߁߽ߩߢ޽ࠆ㧚 ᦨᓟߦ㧘ߏᄙ↪ਛߦ߽߆߆ࠊࠄߕ㧘ଐ㗬ߦᔕߓߡ޿ߚߛ߈㧘ߒ߆߽⍴ᦼ㑆ߢේⓂࠍߏḰ஻޿ߚߛ޿ߚၫ╩⠪ߩᣇ‫ߒ↳␞߅ߦޘ‬਄ߍࠆᰴ╙ߢ޽ࠆ㧚

 2003 ᐕ 10 ᦬ 9 ᣣ㧘ᧄ․㓸ߩၫ╩⠪ߩᣇ‫ߦޘ‬એਅߩࠃ߁ߥࡔ࡯࡞ߢ㧘߅㗿޿ߐߖߡ޿ߚߛ޿ߚ㧚 ̌વᾲቇ߿ᾲᵹ૕ജቇߩᢎ⑼ᦠߢ⸅ࠇࠄࠇࠆߎ
ߣ߇ዋߥ޿ߌࠇߤ߽㑐ㅪ⃻⽎ߩᧄ⾰ࠍℂ⸃ߔࠆ਄
ߢ㊀ⷐߥ੐㗄㧘޽ࠆ޿ߪߤߩᢎ⑼ᦠߢ߽ㅢࠅ৻ㆉ
ߩ⸥ㅀߪߥߐࠇࠆ߽ߩߩ੹৻ߟߒߞߊࠅߎߥ޿੐
㗄㧘ߎࠇࠄߪ޿ߟ߹ߢ⚻ߞߡ߽ߔߞ߈ࠅߒߥ޿‫ߩޡ‬ߤߩዊ㛽‫ࠆ޿ߡߞ߆߆ߞ߭ߡߞߥߣޢ‬႐ว߇ᄙ޿
ߩߢߪߥ޿ߢߒࠂ߁߆㧚߽ߜࠈࠎ㧘ߘߩ⒟ᐲߦߪ
ዋߥ߆ࠄߧ୘ੱᏅ߇޽ࠆߣߪ⠨߃ࠄࠇ߹ߔ߇㧘ᧄ․㓸ߢߪߘߩዊ㛽ࠍᵹߒㄟ߼ࠆࠃ߁ߥ One-Point⸃⺑ࠍ߅㗿޿ߒߚ޿ߣሽߓ߹ߔ㧚㧔ਛ⇛㧕ಽ㊂ߪౝኈߦࠃߞߡ⇣ߥࠆߣ੍ᗐߒ߹ߔߩߢ㧘వ↢ߦᦨ߽߅߹ߣ߼߿ߔ޿㐳ߐߦ߅છߖ޿ߚߒ߹ߔ㧚̍ ਄⸥ߩଐ㗬ᢥߢߪ㧘නߦ৻⥸ߩ⺒⠪ࠍኻ⽎ߣߒߚ⸃⺑ࠍ߅㗿޿ߒߚࠃ߁ߥ⴫⃻ߦߥߞߡ޿ࠆ㧚ߒ߆ߒ㧘ᓟߢᕁ޿㄰ߒߡߺߡ㧘ଐ㗬ߒߚ⢛᥊ߦήᗧ⼂⊛ߦ޽ߞߚߎߣߦචಽ⸒෸ߢ߈ߡ޿ߥ޿ߎߣߦ
᳇ઃ޿ߚ㧚ߘࠇߪ㧘⃻ઍੱߥ߆ߢ߽⧯ੱߩ⟎߆ࠇߚ⁁ᴫߦߟ޿ߡߢ޽ࠆ㧚 ⑼ቇᛛⴚߩ਎⇇ߢߪ㧘‫ᦨޡ‬వ┵‫ᦨޡޢ‬೨✢‫ޡޢ‬ᰴ਎ઍ‫߇ߣߎߩޢ‬᳞߼ࠄࠇ߇ߜߢ㧘ߒ߆߽ߘߩᄌൻ
ㅦᐲߪ㧘
Alvin Toffler ߇ᣢߦ 30 ᐕએ਄߽೨ߦ Future
Shock ߩਛߢᜰ៰ߒߚࠃ߁ߦ㧘ᣣჇߒߦᣧߊߥߞ
ߡ޿ࠆ㧚ੱ㑆߇৻↢ߩ㑆ߦฃኈߢ߈ࠆ㊂ߪᧄ⾰⊛ߦߪᄌࠊࠄߥ޿ߣᕁࠊࠇࠆ߇㧘⥄ࠄ߇৻ຬࠍߟߣ
߼⥄ࠄ߇㚟േജߩ৻ㇱߣߥࠆ Society ߆ࠄߩⷐ᳞
ߪ㒢ࠅߥߊჇᄢߒߡ޿ߊ㧚Society ߣߒߡߪ㧘␠ળߒ߆ࠅ㧘ቇળߒ߆ࠅ㧚 ⍮⊛ㆮ↥ࠍ਎ઍ߆ࠄ਎ઍߦ⋧⛯ߒඨ᳗ਭ⊛ߦሽ

-1-

Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ᾲߩવ᠞ㅦᐲߪή㒢ᄢ߆- 㕖ࡈ࡯࡝ࠛ໧㗴ߩේὐ On Non-Fourier Problem⨹ᧁ ାᐘ㧔㕒ጟᄢቇ㧕Nobuyuki ARAKI (Shizuoka University)㧝㧚ߥߗ㕖ࡈ࡯࡝ࠛ໧㗴߆ᾲવዉߪ㧘Ꮒⷞ⊛ߦߪᇦ૕߇േ޿ߡ޿ߥ޿ߣߒ
ߡᛒ߁߇㧘ᓸⷞ⊛ߥ┙႐߆ࠄ⷗ࠆߣߘߩવᾲᯏ᭴
ߪേ⊛ߢ㧘߈ࠊ߼ߡⶄ㔀ߢ޽ࠆ㧚 ߚߣ߃߫㧘᳇૕ߦ߅޿ߡߪ⥄↱ߦ㘧߮࿁ߞߡ޿ࠆ᳇૕ಽሶߩⴣ⓭ߦࠃࠅᾲࠛࡀ࡞ࠡ࡯߇વ߃ࠄࠇࠆߒ㧘㊄ዻߦ߅޿ߡߪ⥄↱㔚ሶ߇㕖Ᏹߦᄢ߈ߥㅦᐲߢㆇേߒ㧘ේሶߦⴣ⓭ߒߥ߇ࠄᾲࠛࡀ࡞ࠡ࡯ࠍㆇࠎߢ޿ࠆ㧚⚿᥏૕ߢߪ㧘ᒢᕈ߫ߨߩࠃ߁ߥ߽ߩߢ⚿วߒߚේሶߩ
႙߇ᄙ⥄↱ᐲߩᝄേࠍߒߥ߇ࠄ㓞ߩේሶߩ႙ߦᾲ
ࠛࡀ࡞ࠡ࡯ࠍવ߃ߡ޿ࠆ㧚ߎࠇࠄߩේሶ࡮ಽሶ࡟
ࡌ࡞ߩㆇേ߿ᝄേߩỗߒߐ߇᷷ᐲߩᜰᮡߣߒߡ⴫␜ߐࠇࠆ㧚 ࡈ࡯࡝ࠛߩᾲવዉߩᑼߪ㧘ᓸⷞ⊛ߦߪਇㅪ⛯૕ߢ޽ࠆ߽ߩࠍဋ⾰ߥㅪ⛯૕ߣߒߡᛒߞߡ᳞߼ࠄࠇ
ߚ߽ߩߢ޽ࠆ㧚ߟ߹ࠅ㧘ਇㅪ⛯૕ߩേ߈ࠍᐔဋ⊛ߦⷰኤߒߡᓧࠄࠇߚ‫ࠆ޽ߢޠ࡞࠺ࡕ⊛⺰⽎⃻ޟ‬㧚ߎߎߢߪ㧘ᾲߩવ᠞ㅦᐲ߇ή㒢ߦᄢ߈޿ߣߒߡ㧘ᾲ✭๺⃻⽎ߪήⷞߐࠇߡ޿ࠆ㧚ᦨㄭᕆㅦߦ᥉෸ߒߚࡄ࠰ࠦࡦࠍߪߓ߼ߣߒߡ㧘りߩ࿁ࠅߦߪ㧘ᭂ߼ߡᓸ⚦ߢ㧘ᯏ⢻⊛ߥ᧚ᢱ߿⚛
ሶ߇૶ࠊࠇࠆࠃ߁ߦߥߞߡ㧘ᾲ⒖േ⃻⽎߽ේሶ߿ಽሶߩᄢ߈ߐߩࠝ࡯࠳ߢ⠨߃ߥߌࠇ߫ߥࠄߥߊߥ
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ᑼߦઍࠊࠆ߽ߩߣߒߡ㧘ోߊᣂߒ޿ᑼࠍዉ౉ߔࠆ
ߩߢߪߥߊ㧘వ㆐ߪ㧘ࡈ࡯࡝ࠛߩᑼߦᾲ✭๺⃻⽎ߩ㗄ࠍขࠅㄟ߻ߎߣߢᑼࠍୃᱜߔࠆ㆏ࠍㆬࠎߛ㧚⒖േᾲᵹ᧤ߩ㗄ߦ㧘✭๺㗄ࠍዉ౉ߒߡ㧘ᾲߩવ᠞ㅦᐲࠍ᦭㒢ߦߔࠆߎߣࠍ⠨߃ߚߩߪ㧘1958 ᐕCattaneo[3]ߣ Vernotte[4]ߢ޽ࠆ߇㧘ዉ߆ࠇߚᾲવ
ዉᣇ⒟ᑼߪ㧘ᢙቇ⊛ߦߪᵄേᣇ⒟ᑼߣหߓᒻࠍߣ
ߞߡ޿ࠆߎߣߦߥߞߚߩߢ޽ࠆ㧚ߟ߹ࠅ㧘ᾲવዉᯏ᭴ߩ೎ߩࡕ࠺࡞ߣߒߡᵄേᣇ⒟ᑼ߇ዉ౉ߐࠇߚ

વᾲ 2004 ᐕ 1 ᦬ߩߢ޽ߞߡ㧘ᾲߩ⒖േ⃻⽎߇ᵄേߢ޽ࠆߎߣࠍ⹺
⼂ߒߡᵄേᣇ⒟ᑼ߇ዉ߆ࠇߚߩߢߪߥ޿ߥ޿ߣ⑳ߪ⸃㉼ߒߡ޿ࠆ㧔޽ߊ߹ߢ߽⑳⷗ߢ޽ࠆ㧕㧚⑳⥄り߽ᾲવዉ⃻⽎ࠍᵄേߣߒߡᛒ߁ߎߣߦᚭ
ᖺ޿ࠍᗵߓߡ޿ࠆ㧚ᵄേߣߒߡᛒ߁ߣ㧘޽ࠆᓸዊߥᤨ㑆Ꮺߢ޽ࠆ߇㧘᷷ᐲ߇ૐ޿ᣇ߆ࠄ㜞޿ᣇߦᾲ⒖േ߇⿠ߎࠆߎߣߦߥࠆߒ㧘Ⴚ⇇㕙ߦ߅޿ߡᾲߩ
෻኿⃻⽎߽⿠ߎࠆߎߣߦߥࠆ㧚ⷞ㊁⁜⓰⊛ߦ‛੐ࠍ⠨߃ࠆੱߪ㧘⋥ߜߦ㧘ߎߩࠃ߁ߥߎߣߪᾲജቇ
ߩ╙ੑᴺೣߦ෻ߔࠆߩߢᱜߒߊߥ޿ߣਥᒛߐࠇࠆ㧚ߎߩߎߣߦኻߒߡ߹ߣ߽ߥ㧔㧫㧕෻⺰߇ߢ߈ߥ޿
ߢ޿ࠆߎߣ߇⑳ߩᚭᖺ޿ߩℂ↱ߢ޽ࠆ㧚ߒ߆ߒ㧘⴫㕙⊛ߢ޽ࠆ߇ᰴߩࠃ߁ߥਥᒛࠍߣࠅ
޽߃ߕⴕ߁ߎߣߣߒߡ޿ࠆ㧚ᓸⷞ⊛ߥᾲ⒖േߩᯏ᭴ࠍ⠨߃ࠆߣਇဋ⾰ߥ‛⾰ߦ߅ߌࠆㆊᷰ⊛ߥ㕖ᐔⴧ⃻⽎ࠍᛒ߁ߎߣߦߥࠅ㧘Ḱ㕒⊛ߦಣℂߔࠆᾲജቇ⊛╙ੑᴺೣߩ᭎ᔨߦ㚔ᨴ߹ߥ޿߽ߩߢ޽ࠆ㧚ߟ߹ࠅ㧘╙ੑᴺೣ߽ࠛࡦ࠻ࡠࡇ࡯ߩᴺೣ߽♽ో૕ߦኻߒߡ㧘Ꮒⷞ⊛ߢߒ߆߽ᐔဋ⊛ߦᛒߞߚ⚿ᨐࠍ⺰ߓߡ޿ࠆߩߢ޽ࠆ㧚㕖ࡈ࡯࡝ࠛ໧㗴ߪ㧘ߎߩᓸⷞ⊛ߢㆊᷰ⊛ߥ㕖ᐔⴧ⃻⽎ࠍࠊ߆ࠅ߿ߔߊ⴫⃻ߒࠃ߁ߣߔࠆ⺖㗴ߦขࠅ⚵߻ੱ‫ߩޘ‬໧㗴⸳ቯߥߩߢ޽ࠆ㧚⷗߆ߌߪဋ⾰ߥ‛⾰ߢ޽ࠆ߇㧘ේሶ࡮ಽሶ࡟ࡌ࡞ߩࠃ߁ߥᓸⷞ
⊛ⷰὐߢߪਇဋ⾰ߢ޽ࠆߣߒߡ㕖ࡈ࡯࡝ࠛ⃻⽎ࠍㅊ෸ߔࠆߎߣߪ㧘߹ߐߦᾲવዉᯏ᭴ࠍ᣿ࠄ߆ߦߔ
ࠆᧄ⾰⊛ߥ㆏ߢ޽ࠆߣାߓߡ޿ࠆ㧚ߒ߆ߒ㧘ߘߩ⃻⽎ࠍⷰኤߔࠆߎߣߪᭂ߼ߡ㔍ߒ޿㧚ᧄⓂߩᓟඨߢ㧘ᚒ‫৻ߩߺ⹜ߩޘ‬ㇱࠍ⚫੺ߔࠆ߇㧘ᧂߛߦⷰኤ
ߦᚑഞߒߡ޿ߥ޿㧚৻ᣇ㧘᥉ㅢߩ⋡ߢ⷗ߡ߽᣿ࠄ߆ߦਇဋ⾰ߥ‛⾰ߩ㕖ቯᏱ᷷ᐲᔕ╵ߦኻߒߡ㕖ࡈ࡯࡝ࠛߩᑼࠍㆡ↪
ߒߡ㧘ว߁ߣ߆วࠊߥ޿ߣ߆ࠍ⺰ߓߡ޿ࠆ⺰ᢥࠍ⷗߆ߌࠆ㧚ߎࠇߪ㧘ᷙว‛ߩߘࠇߙࠇߩ᭴ᚑⷐ⚛
ߦ߅޿ߡߪࡈ࡯࡝ࠛߩᑼ߇ᚑࠅ┙ߞߡ޿ࠆ߇㧘ో૕ߣߒߡߪ㧘㕖ࡈ࡯࡝ࠛ⃻⽎ߩࠃ߁ߥ᷷ᐲᔕ╵߇-2-વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻޽ࠆ[8]㧚٤ශߩ᷹ቯὐߪ᣿ࠄ߆ߦᵄേ⃻⽎ࠍ␜ߒߡ޿ࠆ㧚ὐ✢ߪࡈ࡯࡝ࠛߩᑼ߆ࠄ᳞߼ߚ᷷ᐲᔕ╵ߢ޽ࠅ㧘ᾲᐔⴧ⁁ᘒߩ᷷ᐲ࡟ࡌ࡞ߪ੕޿ߦ৻⥌ߒߡ޿ࠆ߽ߩߩ㧘ㅜਛ⚻ㆊߪ⪺ߒߊ⇣ߥߞߡ޿ࠆ㧚ߎߩ᷹ቯ଀ߦኻߒߡ㕖ࡈ࡯࡝ࠛࡕ࠺࡞ࠍㆡ↪ߒߡࠞ࡯ࡉࡈࠖ࠹ࡦࠣࠍ⹜ߺߚߣߎࠈ㕖Ᏹߦ⦟ߊ৻⥌ߒ㧘㧠┨ߢ⺑᣿ߔࠆੑߟߩ✭๺ᤨ㑆ߣᾲ᜛ᢔ₸߇ᰴߩࠃ߁ߦ᳞߼ࠄࠇߚ[23]㧚
W q =61.2 Ps㧘 W T <0.005 Ps㧘a=2.04 u 10 6 mm2/s

᷹ⷰߐࠇࠆ߽ߩߢ޽ࠆ㧚ߘߩℂ↱ߪ߹ߛ᣿⏕ߦߐࠇߡ޿ߥ޿߇㧘ᷙว‛⾰㑆ߩႺ⇇㕙ߦ߅޿ߡ૗ࠄ
߆ߩㆊᷰ⊛ߥ㕖ᐔⴧ߇⊒↢ߔࠆߚ߼ߢ޽ࠈ߁ߣផ
᷹ߒߡ޿ࠆ㧚ߎߩ⃻⽎ߪ㧘ᧄ᧪ߩ㕖ࡈ࡯࡝ࠛ⃻⽎ߣߪ⸒޿㔍޿ߣ⠨߃ߡ޿ࠆ߇㧘Ყセ⊛᷹ቯ߇ኈᤃ
ߢ޽ࠆߒ㧘㕖ࡈ࡯࡝ࠛߩᑼࠍℂ⸃ߔࠆߩߦᅢㇺวߢ޽ࠆߩߢ㧘ᚒ‫ߩߎ߽ޘ‬ಽ㊁ߩ⎇ⓥࠍㅴ߼ߡ޿ࠆ㧚శߢߔࠄ 30 ਁ km/s ߩ᦭㒢ߥㅦᐲࠍᜬߞߡ޿ࠆ
ߩߦ㧘ߥߗᾲߩવ᠞ㅦᐲ߇ή㒢ᄢߢࠃ޿ߩ߆ࠍㅊ
᳞ߒߚ޿ߣᕁߞߡ޿ࠆ߁ߜߦ㧘⑳ߪ㧘ᷓߺߦߪ߹
ߞߡߒ߹ߞߚࠃ߁ߢ޽ࠆ㧚㕖ࡈ࡯࡝ࠛ⃻⽎ࠍㅊ᳞ߒߡ߽Ꮏቇ⊛ߦߪ޽߹ࠅᓎߦ┙ߚߥ޿߆߽⍮ࠇߥ޿㧚߶ߣࠎߤߩᾲવዉ⃻⽎߇ࡈ࡯࡝ࠛߩᑼߢචಽ
ߦ⴫⃻ߢ߈ࠆ߆ࠄߢ޽ࠆ㧚ߒ߆ߒ㧘ᓸⷞ⊛ߥⷰὐ߆ࠄᾲવዉߩᯏ᭴ࠍ᣿ࠄ߆ߦߒ㧘ߘࠇࠍಽ߆ࠅᤃ
޿ᒻߢ⴫⃻ߔࠆߎߣߪ㧘⌀ℂតⓥߩⷰὐ߆ࠄ߈ࠊ
߼ߡ㊀ⷐߢ޽ࠆߒ㧘ᓸ⚦ߥᯏ⢻ᕈࠍㅊ෸ߔࠆᎿቇ
ߦ߅޿ߡ߽ᔅⷐߢ޽ࠆߣᕁߞߡ޿ࠆ㧚 ߹ߚ㧘ᾲ✭๺ᤨ㑆ࠍ‛⾰ߦࠃߞߡ⇣ߥࠆᾲ‛ᕈ୯ߣߒߡ૏⟎ઃߌߡᢛℂߒߚ޿ߣ߽⠨߃ߡ޿ࠆ㧚 ߒ߆ߒ㧘ߘߩᓟ㧘ߎߩ⒳ߩ᷹ቯ଀ߪ߶ߣࠎߤ౏
⴫ߐࠇߡ޿ߥ޿㧚ߎߩታ㛎ߩㅊ⹜ࠍ฽߼ߚᣂߚߥ
⃻⽎ⷰኤ߇ᦸ߹ࠇࠆ㧚 ਇဋ⾰‛⾰ߩ᷷ᐲᔕ╵
Fig.2 ߪ㧘ಣℂߐࠇߚ⡺㧔Bologna㧘࠰࡯࠮࡯ࠫ
ߩ৻⒳㧕߇⹜ᢱߢ޽ࠆ㧚㧞୘ߩ⹜ᢱࠍߘࠇߙࠇ೎
ߩೋᦼ᷷ᐲ㧔8.2͠ߣ 23.1͠㧕ߦ⸳ቯߒߡ߅߈㧘޽ࠆᤨೞ߆ࠄߘࠇࠄࠍធ⸅ߐߖߚߣ߈ߩ᷷ᐲᔕ╵ࠍ␜ߒߚ߽ߩߢ޽ࠆ[12]㧚ታ✢ߩ᷷ᐲᔕ╵ߪૐ᷷஥ߩ⹜ᢱߩਛᄩߢធ⸅㕙߆ࠄ 6.3 mm 㔌ࠇߚ૏⟎ߢᾲ㔚ኻࠍ૶↪ߒߡ᷹ቯߒߚ߽ߩߢ޽ࠆ㧚ὐ✢ߪࡈ࡯࡝ࠛߩᑼߦࠃࠆ⸃ᨆ⚿ᨐߢ޽ࠅ㧘ೋᦼߩ┙ߜ਄߇ࠅߦ߅޿ߡ㧘ਔ⠪߇⇣ߥߞߡ޿ࠆ㧚৻ὐᏅ✢ߪ㕖ࡈ࡯࡝ࠛࡕ࠺࡞ࠍㆡ↪ߒߚ⚿ᨐߢ޽ࠅ㧘᷹ቯߐࠇߚ᷷ᐲᔕ╵ߣࠃߊ৻⥌ߒߡ޿ࠆ㧚ߎߩࠃ߁ߥਇဋ⾰ߥ‛⾰ߦኻߔࠆ᷹ቯ଀ߣߒߡ㧘ⓨ㓗₸߇ 40%⒟ᐲ㧘ᐔဋ☸ᓘ 200Pm ⒟ᐲߩ⍾߿ࠟ࡜ࠬࡆ࡯࠭ߥߤ߇޽ࠅ‫ޔ‬㕖ࡈ࡯࡝ࠛ⃻⽎ߩࠃ߁ߥ᷷ᐲᔕ╵߇ႎ๔ߐࠇߡ޿ࠆ[13]㧚

Normalized Temperature㧞㧚ߎࠇ߹ߢߦ᷹ቯߐࠇߚ㕖ࡈ࡯࡝᷷ࠛᐲᔕ╵㕖ࡈ࡯࡝ࠛ⃻⽎ࠍታ᷹ߒߚ଀ߪᭂ߼ߡዋߥߊ㧘⸽᜚ߣߒߡߪਇචಽߢ޽ࠅ㧘ߐࠄߦ᷹ቯߔࠆᔅⷐ
߇޽ࠆ㧚ߎࠇ߹ߢߦ⊒⴫ߐࠇߚ᷹ቯ࠺࡯࠲ߩ߁ߜ㧘
ဋ⾰ߥ‛⾰ߦኻߔࠆ᷷ᐲᔕ╵଀ߣ᣿ࠄ߆ߦਇဋ⾰ߣᕁࠊࠇࠆ‛⾰ߦኻߔࠆ଀ࠍ⚫੺ߔࠆ㧚 ⚐☴‛⾰ߩ᷷ᐲᔕ╵
Fig.1 ߪ㧘᷷ᐲ 0.6 K㧘࿶ജ 54.2 atm ߢ㧘ෘߐ 8 mm
ߩ࿕૕ He4 ߩ೨㕙ࠍࡄ࡞ࠬ⁁㧔ࡄ࡞ࠬᤨ㑆 5Ps㧕ߦടᾲߒߚߣ߈ߩ⢛㕙ߩ᷷ᐲᔕ╵ࠍ␜ߒߚ߽ߩߢ

1
Fourier
Experiment

0

Fig.1

0

100
200
Time, microsecond

300




Temperature response at rear surface of solid

Fig.2

He4 subjected to 5 Ps heat-pulse at 0.6K [8].

-3-Temperature response after a sudden contact of
two pieces of processed meat [12].

Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻㧟㧚ᾲવዉߩࡕ࠺࡞
ߎࠇ߹ߢߦឭ᩺ߐࠇߡ߈ߚᾲવዉࡕ࠺࡞ࠍಽ㘃ߔࠆߣ㧘ᄢ߈ߊߪ㧘ࡈ࡯࡝ࠛࡕ࠺࡞ߣ㕖ࡈ࡯࡝ࠛࡕ࠺࡞ߦಽߌࠄࠇࠆ㧚ᓟ⠪ߪߐࠄߦ㧘Ꮒⷞ⊛ߦߪဋ⾰ߢ޽ࠆ߇ᓸⷞ⊛ߦߪਇဋ⾰ߢ޽ࠆߣߒߡᓸⷞ
⊛ߦㅊ᳞ߔࠆᓸⷞ⊛ࡕ࠺࡞ߣߎߩᓸⷞ⊛⃻⽎ࠍ✭๺⃻⽎ߣߒߡᄢዪ⊛ߦߣࠄ߃ࠆᏂⷞ⊛ࡕ࠺࡞ߣߦ
ಽߌࠄࠇࠆ㧚ߘࠇࠄࠍᓸⷞ⊛ߥ․ᕈ㐳ߐߣ․ᕈᤨ
㑆ࠍ૶ߞߡಽ㘃ࠍ⹜ߺࠆ㧚 ࡈ࡯࡝ࠛࡕ࠺࡞
ࡈ࡯࡝ࠛߩᑼ߇ᚑ┙ߔࠆⷐઙࠍ╙㧝┨ߢㅀߴߚ߇㧘ౣᐲ㧘ࠠ࡯ࡢ࡯࠼ߢ␜ߔߣ㧘ᾲ߇વ᠞ߔࠆᇦ
૕ߪ㧘Ꮒⷞ⊛ߦဋ⾰ߢ޽ߞߡ㧘ㅪ⛯૕ߢ޽ࠆߎߣ
ࠍ઒ቯߒߡ޿ࠆ㧚ᓸⷞ⊛ߥਇㅪ⛯ߩᐔဋലᨐࠍ⃻⽎⺰⊛㧔phenomenological㧕ߦ⴫⃻ߒߚࡕ࠺࡞ߢ޽
ࠆ㧚ߎߎߢߪ㧘ᾲ✭๺߇ήⷞߐࠇ㧘ᾲߩવ᠞ㅦᐲ
ߪή㒢ᄢߣߒߡᛒࠊࠇߡ޿ࠆ㧚L ࠍᛒߞߡ޿ࠆ‛⾰ߩኸᴺ㧘t ࠍ᷹ቯߩߚ߼ߩ
ታᤨ㑆㧘/ ࠍᾲࠠࡖ࡝ࠕ㧔㔚ሶ෸߮ࡈࠜࡁࡦ㧕ߩᐔဋ⥄↱ⴕ⒟㧘Ǽࠍᾲࠠࡖ࡝ࠕߩ․ᕈᤨ㑆ߣߔࠆߣ㧘ࡈ࡯࡝ࠛࡕ࠺࡞ߪ㧘(1)
L !! / 㧘 t !! W ߩ㗔ၞࠍᛒߞߡ޿ࠆߎߣߦߥࠆ㧚 㕖ࡈ࡯࡝ࠛࡕ࠺࡞
ㅪ⛯ᇦ⾰ߩ઒ቯ߇ᚑ┙ߒߥ޿႐ว㧘ࡈ࡯࡝ࠛࡕ
࠺࡞߇ਇᱜ⏕ߦߥࠅ㧘⇣ߥߞߚࡕ࠺࡞߇ᔅⷐߣߥ
ࠆ㧚ᓸⷞ⊛ߥ⃻⽎ࠍߘߩ߹߹⴫⃻ߒࠃ߁ߣߔࠆᣇ
ะߣࡈ࡯࡝ࠛߩᑼࠍୃᱜߒߡᓸⷞ⊛ߥ⃻⽎ߦวࠊߖࠃ߁ߣߔࠆᣇะ߇⠨߃ࠄࠇߡ߈ߚ㧚ߎߩᣇะߦ
߅ߌࠆవ㆐߇ߚߤߞߚࡕ࠺࡞ࠍᢛℂߔࠆߣᰴߩࠃ
߁ߦߥࠆ㧚㧔㧝㧕ᓸⷞ⊛ࡕ࠺࡞㧦Two-step ࡕ࠺࡞[1]⚐☴ࡈࠜࡁࡦ႐ࡕ࠺࡞[2]㧔㧞㧕Ꮒⷞ⊛ࡕ࠺࡞㧦ᾲᵄേࡕ࠺࡞[3,4]Dual-Phase-Lag ࡕ࠺࡞[5]ߐࠄߦᏂⷞ⊛ߦਇဋ⾰ߥᷙว‛ߦኻߒߡᏂⷞ⊛ࡕ࠺࡞ࠍㆡ↪ߔࠆ⎇ⓥ߇޽ࠆ㧚㧔㧝㧕ᓸⷞ⊛ࡕ࠺࡞
ᓸⷞ⊛ߥ⃻⽎ࠍߘߩ߹߹⴫⃻ߒࠃ߁ߣߔࠆࡕ࠺
࡞ߢ޽ࠆ㧚ߎߩ㗔ၞߦ߅޿ߡߪ㧘(2)
L | / 㧘t |Wߢ޽ࠅ㧘޿߆ߦߘߩዪᚲ⊛ߥ⃻⽎ࠍන⚐ൻߒߡ৻⥸⊛ߦ⴫⃻ߔࠆ߆߇໧㗴ߣߥߞߡ޿ࠆ㧚ዪᚲ⊛ߥਇဋ⾰ߩߚ߼ߦㆊᷰ⊛ߥᾲߩ㕖ᐔⴧ߇⊒↢ߔࠆ߇㧘ᾲࠠࡖ࡝ࠕߩ⋧੕૞↪ߦࠃߞߡ㧘ߒߛ޿ߦᾲᐔⴧ

વᾲ 2004 ᐕ 1 ᦬- 4 -߇㆐ᚑߐࠇࠆ㧚଀߃߫㧘㊄ዻ߇࡟࡯ࠩߦࠃࠅടᾲ
ߐࠇࠆ႐ว[1]㧘߹ߕࡈࠜ࠻ࡦ̆㔚ሶ૞↪ߢ㔚ሶ߇࡟࡯ࠩߩࠛࡀ࡞ࠡ࡯ࠍๆ෼ߒ㧘᷷ᐲ߇㜞߹ࠆ㧚ߘߩᤨࡈࠜࡁࡦߩ᷷ᐲߪᄌൻߒߡ޿ߥ޿⁁ᘒߥߩߢ㧘ዪᚲ⊛ߦ㕖ᾲᐔⴧ⁁ᘒߦߥࠆ㧚ߘߒߡ㧘㔚ሶ̆ࡈࠜࡁࡦ૞↪ߢࠛࡀ࡞ࠡ࡯߇㔚ሶ߆ࠄࡈࠜࡁࡦߦવ
ࠊࠅ㧘ਔ⠪߇หߓ᷷ᐲߦߥࠅ㧘ዪᚲ⊛ߥᾲᐔⴧ⁁ᘒ߇㆐ᚑߐࠇࠆ㧚㧔㧞㧕Ꮒⷞ⊛ࡕ࠺࡞਄ㅀߩࠃ߁ߥᓸⷞ⊛ߥ⃻⽎ࠍ✭๺⃻⽎ߣߒߡᄢዪ⊛ߦ߹ߣ߼㧘✭๺ᤨ㑆ࠍዉ౉ߔࠆߎߣߦࠃࠅࡈ
࡯࡝ࠛߩᑼࠍୃᱜߔࠆࡕ࠺࡞ߢ޽ࠆ㧚ᾲᵹ᧤ߩ㗄ߦᾲ✭ᤨ㑆 W q ࠍዉ౉ߔࠆߣᾲᵄേ
ࠍ⴫ߔᑼߦߥࠆ㧚ߐࠄߦ᷷ᐲ൨㈩ߩ㗄ߦ✭๺ᤨ㑆
W T ዉ౉ߒߡ᷷ᐲવ᠞ߦኻߒߡ߽✭๺ࠍหᤨߦ⠨߃ࠆߩ߇ Dual-Phase-Lag ࡕ࠺࡞ߢ޽ࠆ㧚ᄢዪ⊛ߦ߹ߣ߼ߡ޿ࠆߣߪ޿߃㧘ᛒߞߡ޿ࠆߩ
ߪᓸⷞ⊛⃻⽎ߢ޽ࠆߩߢ㧘ߎߩࡕ࠺࡞ߪᓸⷞ⊛ࡕ࠺࡞ߣหߓࠃ߁ߦ L | / 㧘 t | W ߩ㗔ၞࠍᛒߞߡ
޿ࠆߎߣߦߥࠆ㧚㧔㧟㧕ᓸⷞ⊛ࡕ࠺࡞ߣᏂⷞ⊛ࡕ࠺࡞ߩ㑐ଥᓸⷞ⊛ߥ㕖ᐔⴧ߇ᐔⴧ⁁ᘒߦ㆐ߔࠆ߹ߢߩᤨ㑆߇✭๺ᤨ㑆ߢ޽ࠆߩߢ㧘ㆡᒰߥᓸⷞ⊛‛ℂ㊂ࠍ✭๺ᤨ㑆 W q ߣ W T ߣߢ⴫⃻ߢ߈ࠇ߫ਔ⠪ߩ㑐ଥ߇᳞߼ࠄࠇࠆ㧚ߚߛߒ㧘᧚ᢱߩ⒳㘃ߦࠃߞߡᾲ✭๺ߩᓸⷞ⊛ᯏ᭴߇㆑߁ߩߢߘࠇߙࠇ೎‫ߦޘ‬⠨߃ࠆᔅⷐ߇޽ࠆ㧚㊄ዻߩ႐ว㧘two-step ࡕ࠺࡞ߣᲧセߔࠆߣ㧘W q ߪ㔚ሶߦࠃࠅવᾲߩ✭๺ലᨐࠍ⴫ߔ․ᕈᤨ
㑆ߣߥࠅ㧘W T ߪ㔚ሶ̆ࡈࠜࡁࡦߩ⋧੕૞↪ߩ․ᕈ
ᤨ㑆ߣหߓߢ޽ࠆߎߣ߇ࠊ߆ࠆ㧚⺃㔚⚿᥏ߩ႐วߪ㧘⚐☴⊛ࡈࠜࡁࡦ႐ࡕ࠺࡞ߣᲧセߔࠆߎߣߦࠃ
ߞߡ㧘W q ߪㆇേ㊂ߩ㕖଻ሽࡊࡠ࠮ࠬߩ✭๺ᤨ㑆ߢ㧘

W T ߪㆇേ㊂ࠍ଻ሽߔࠆᱜᏱࡊࡠ࠮ࠬߩ✭๺ᤨ㑆ߣหߓࠝ࡯࠳ߣߥࠆ㧚㧔㧠㧕Ꮒⷞ⊛ߦਇဋ⾰ߥᷙว‛ߦኻߔࠆࡕ࠺࡞
⇣ߥߞߚ⒳㘃ߩ⚐☴‛⾰߇ಽᢔߒߡ޿ࠆᷙว‛ߩࠃ߁ߦᏂⷞ⊛ߦਇဋ⾰ߥ႐ว㧘 L !! / 㧘 t !! Wߪᚑ┙ߔࠆ߇㧘⷗߆ߌ਄ߩਇㅪ⛯ߦࠃࠅో૕ߣߒ
ߡࡈ࡯࡝ࠛࡕ࠺࡞ߢߪᾲ⒖േ⃻⽎ࠍ⴫⃻ߢ߈ߥ޿ߎߣ߇޽ࠆ㧚ᄢ߈ߥࠬࠤ࡯࡞ߩਇㅪ⛯ߥ⇇㕙ߦࠃࠅዪᚲ⊛ߥ㕖ᾲᐔⴧ⁁ᘒ߇⊒↢ߔࠆߣߐࠇߡ޿ࠆ㧚ߎߩᇦ૕ో૕ࠍ৻ߟߩ‛⾰ߦ⟎឵߃ߡ㧘✭๺ᤨ㑆ࠍዉ౉ߒߡ৻ߟߩᾲવዉᣇ⒟ᑼߢ⴫⃻ߔࠆࡕ࠺࡞
ߢ޽ࠆ㧚ߒߚ߇ߞߡ㧘ขࠅᛒ޿ߪ㧔㧞㧕ߩᏂⷞ⊛ࡕ࠺࡞ߣหߓߢ޽ࠆ㧚ߚߛߒ㧘✭๺ᤨ㑆ߩᗧ๧ߔࠆౝኈߪ੕޿ߦᄢ߈ߊ⇣ߥߞߡ޿ࠆ㧚વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻㧠㧚ᾲવዉࡕ࠺࡞ߦኻߔࠆᢙቇ⊛ߥ⴫⃻਄ㅀߩ㕖ࡈ࡯࡝ࠛ⃻⽎ࠍᢙቇ⊛ߦ⴫⃻ߔࠆ⎇ⓥ
߇⒳‫߇ߚ߈ߡࠇࠊⴕޘ‬㧘ᾲ✭๺ᤨ㑆ࠍዉ౉ߔࠆߎ
ߣߦࠃࠅ㧘ᓸⷞ⊛ߦ߽㧘Ꮒⷞ⊛ߦ߽⸃᳿ߢ߈ࠆߎ
ߣ߇ࠊ߆ߞߚ㧚ߚߛߒ㧘޽ߊ߹ߢ߽ㄭૃ⊛ߥ⸃᳿
ᣇᴺߢ޽ࠆߎߣࠍ⹺⼂ߒߡ߅ߊᔅⷐ߇޽ࠆ㧚ߎߎߢߪ㧘ߎߩㄭૃ⊛⸃᳿ᣇᴺߣߒߡ Tzou ߩDual-Phase-Lag ࡕ࠺࡞[5]ࠍ⚫੺ߔࠆ㧚
᧚ᢱਛߩ⒳‫ߩޘ‬ᓸⷞ⊛ലᨐࠍᾲᵹ᧤ q ߣ᷷ᐲ൨ࠗࠢࡠ⑽એਅߩࠝ࡯࠳ߢ޽ࠆ㧚ਇဋ⾰‛⾰ߩ႐วߪ㧘ቶ᷷ߦ߅޿ߡᢙ⑽એ਄ߩ୯߇᷹ቯߐࠇߡ޿ࠆ㧚⴫ਛߢ㧖ශߩߟ޿ߚ୯ߪታ᷹୯ߢ޽ࠆ㧚
Table 1 Orders of relaxation time
Material

Metals[6,7]
Aluminum
10-11 – 10-6
Tantalium
10-8 – 10-6
Dielectric Solids
10-6 – 10-5
Solid He-4*[8]*NaF [9]10-10 – 10-6
Superconductors[7]Tantalium
10-8
Niobium
10-8
YbaCuO
10-10
Semiconductors[7]Gallium Arsenide
10-10 – 10-7
Organic Materials
10 – 1000
Tissue* [10]meat product* [11, 12] 15 – 30
Porous Materials
Sand (187Pm, 42% porosity)* [13]Glass (206Pm, 36% porosity)* [13]㈩ T ߩੑߟߩᾲ✭๺ᤨ㑆ߦ฽߼⠨߃㧘ᰴߩࠃ߁ߦ⴫⃻ߔࠆ㧚
q r, t  W q OT r, t  W T(3)
ߎߎߢ㧘W q ߣ W T ߪߘࠇߙࠇᾲᵹ᧤ߣ᷷ᐲ൨㈩ߩ✭๺ᤨ㑆ߢ޽ࠅ㧘q ߪᾲᵹ᧤ࡌࠢ࠻࡞㧘r ߪⓨ㑆ࡌࠢ࠻࡞㧘 T ߪ᷷ᐲ㧘 t ߪ⚻ㆊᤨ㑆㧘 O ߪᾲવዉ₸ߢ޽ࠆ㧚(3)ᑼߪ㧘ᇦ⾰ߩਛߢᤨೞ t  W T ߩ᷷ᐲ൨㈩ߣ
ߘࠇߣ⇣ߥߞߚᤨೞ t  W q ߩᾲᵹ᧤߇ኻᔕߔࠆߎ
ߣࠍᗧ๧ߔࠆ㧚ߎߩᑼࠍ Taylor ዷ㐿ߒ㧘W q ߣ W T ߪዊߐ޿ߣߒߡዷ㐿ߒߚᑼਛߩ㕖✢ᒻ㗄ࠍήⷞߔࠆ
ߣ㧘৻⥸ൻߐࠇߚᾲ⒖േߩᑼߪᰴߩࠃ߁ߦߥࠆ㧚wq
wt

 2T  W T

w 2
 T 
wt

ߎߎߢ㧘 a ߪᾲ᜛ᢔ₸ߢ޽ࠆ㧚(5)ᑼߪ㧘 W T

10-13 – 10-10
1 – 1020
10㧢㧚ᢙቇ⊛ߥ⴫⃻ߦኻߔࠆ෩ኒ⸃
᥉ㆉᾲવዉᣇ⒟ᑼࠍ⸃ߌ߫⒳‫ߩޘ‬㕖ࡈ࡯࡝ࠛ⃻⽎ࠍ⴫⃻ߢ߈ࠆ㧚߽ߜࠈࠎߎߩᣇ⒟ᑼߦߪᵄേᣇ⒟ᑼ߽฽߹ࠇߡ޿ࠆߩߢ㧘᧦ઙࠍㆬߴ߫ᵄേ⁁ߩᔕ╵߽᳞߼ࠄࠇࠆ㧚ߒ߆ߒ㧘᥉ㆉᾲવዉᣇ⒟ᑼߩ
෩ኒ⸃ࠍ᳞߼ࠆߎߣߪᢙቇ⊛ߦኈᤃߢߪߥ޿㧚໊࡮⨹ᧁߪ⒳‫ߩޘ‬Ⴚ⇇᧦ઙߦኻߒߡ෩ኒ⸃ࠍ᳞
߼㧘໧㗴ߩᚲ࿷ࠍ᣿⏕ߦߒߚ[14-27]㧚․ߦ㧘ታ㓙ߩ࡟࡯ࠩടᾲᒻ⁁ߦㄭ޿ᾲᵹ᧤ࠍႺ⇇᧦ઙߣߒߡ㧘᦭㒢ᇦ⾰ߦኻߔࠆ෩ኒ⸃ࠍ᳞߼ߚ㧚ߐࠄߦ㧘✭๺ᤨ㑆 W q ߣ W T 㧘࡟࡯ࠩߩࡄ࡞ࠬᤨ㑆 t p 㧘ๆ෼ᷓߐ G 㧘ᑼߣߥࠆ㧚ᇦ⾰ౝߢߩᾲ⊒↢ࠍ⠨߃ߥ޿႐ว㧘਄ᑼߣࠛࡀ
࡞ࠡ࡯଻ሽೣࠃࠅ㧘ᾲᵹ᧤ࠍᶖ෰ߒߡᢛℂߔࠆߣ㧘ᰴߩࠃ߁ߥ৻⥸ൻߐࠇߚᾲવዉᣇ⒟ᑼ߇ዉ಴ߐࠇࠆ㧚
1 w T W q w 2T

a wt
a wt2

10-14 – 10-11
10-13 – 10-8

*from experimentsºªw
O «T r, t  W T
T »
(4)
wt
¼
¬
਄ᑼߦ߅޿ߡ㧘W q W T 0 ߩ႐วߪ㧘ࡈ࡯࡝ࠛߩ
q r, t  W q

Relaxation time (s)Cryogenic
Room

 
0ߩ

ᇦ⾰ߩෘߐ L ߥߤߩࡄ࡜ࡔ࡯࠲߇᷷ᐲᔕ╵ߦ߅ࠃ߷ߔᓇ㗀ࠍ⸃ᨆߒߡ㧘㕖ࡈ࡯࡝᷷ࠛᐲᔕ╵ࠍ㧠⒳㘃ߩ⃻⽎ߦಽ㘃ߒߚ[23]㧚
Fig.3 ߪ㧘⭯޿ή㒢ᐔ᧼ߩ⴫㕙ࠍ࡟࡯ࠩߦࠃࠅࡄ
࡞ࠬ⁁ߦടᾲߒߚߣ߈ߩᐔ᧼ౝㇱߩ᷷ᐲᔕ╵ࠍᤨ㑆ߩ⚻ㆊߦߒߚ߇ߞߡ⴫⃻ߒߚ߽ߩߢ޽ࠅ㧘4 ⒳㘃ߩ᷷ᐲᔕ╵ࠍߘࠇߙࠇ(a)-(d)ߩ࿑ߦ␜ߒߚ[23]㧚
ߎߎߢߪ㧘ήᰴరࡄ࡞ࠬᤨ㑆 [ p 0.1 㧘ήᰴరๆ႐ว㧘ᵄേᣇ⒟ᑼߣหߓᒻߦߥࠆ㧚ߐࠄߦ㧘
W q W T 0 ߩ႐วߪ㧘ࡈ࡯࡝ࠛߩᑼ߆ࠄዉ߆ࠇߚ
᥉ㅢߩᾲવዉᣇ⒟ᑼߦߥࠆ㧚ߎߩࠃ߁ߦ(5)ᑼߦߪ
ࡈ࡯࡝ࠛࡕ࠺࡞߽ᾲᵄേࡕ࠺࡞߽฽߹ࠇࠆߎߣߦ
ߥࠆߩߢ㧘৻⒳ߩ৻⥸ൻࡕ࠺࡞ߩᑼߣߒߡ૏⟎ઃߌࠄࠇ㧘᥉ㆉᾲવዉᣇ⒟ᑼߣ߆৻⥸ᾲવዉᣇ⒟ᑼ
ߥߤߣ๭߫ࠇߡ޿ࠆ㧚෼ᷓߐ 'K㧡㧚✭๺ᤨ㑆ߩࠝ࡯࠳
ᾲ✭๺ᤨ㑆ߪ᧚ᢱߦࠃߞߡ⇣ߥࠆ୯ࠍߣࠅ㧘ᾲ‛ᕈ୯ߢ޽ࠆߣ⠨߃ߚ޿㧚ߎࠇ߹ߢߦ᷹ቯߐࠇߚ
ࠅ㧘ផ▚ߐࠇߚࠅߒߚ୯ࠍ߹ߣ߼ࠆߣ Table 1 ߩࠃ߁ߦߥࠆ㧚⚐☴‛⾰ߦኻߒߡߪ㊂ሶജቇ߆ࠄℂ⺰⊛ߦផ▚ߐࠇࠆ㧚ߘߩ୯ߪ㧘ᭂૐ᷷ߦ߅޿ߡࡑ

0.05 㧘ήᰴరᇦ⾰ෘߐ K L

2.0 㧘ࠍห

ߓ୯ߣߒߡ㧘ੑߟߩ✭๺ᤨ㑆ߩᲧ [ T ࠍ 0, 0.1, 0.5,
1.5 ߩ㧠⒳㘃ߩ⇣ߥߞߚ୯ߦߒߚߣ߈ߩ᷷ᐲಽᏓ
ߩᄌൻࠍήᰴరᤨ㑆Ƕࠍࡄ࡜ࡔ࡯࠲ߣߒߡ␜ߒߡ
޽ࠆ㧚ᮮゲߩǯߪෘߐᣇะߩήᤨ㒢〒㔌ߢ޽ࠅ㧘0߇ടᾲ㕙㧘2.0 ߇ⵣ㕙ߢ޽ࠆ㧚-5-

Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻[ߎߎߢ㧘ήᰴర㊂ߪᰴߩࠃ߁ߦቯ⟵ߐࠇߡ޿ࠆ㧚K

x 2 aW q ,KL

L 2 aW q ,'K

G 2 aW q

t 2W q ,[p

Temperature, ǰ( ǯ, Ƕ)

Ƕ=0.1

3.0
2.0

2.4

0.0
0.0

1.0
Position, ǯTemperature, ǰ( ǯ, Ƕ)C  [T
4.0
3.0
2.0

ࠊߜ㧘 W T  W q ߩ㗔ၞ)㧚Fig.3(a)ߣᲧߴࠆߣ㧘᷷ᐲᵄߩᝄ᏷߇ᷫ⴮ߒ㧘ㅴⴕߣ෻኿ߩᵄ㕙ߦࠪࡖ࡯ࡊ
ߐ߇ߥߊߥߞߡ޿ࠆ߽ߩߩ㧘߹ߛᵄേߣߒߡߩ․ᓽ߇ዋߒ⷗ࠄࠇࠆ㧚ߒ߆ߒ㧘෩ኒߦߪ㧘ᵄേߣߪ⸒߃ߥ޿㧚ߎߩ႐ว㧘ᑼ  ߩᾲવዉᣇ⒟ᑼߪ㧘߽ߪ߿㧘෺ᦛᒻᣇ⒟ᑼߢߪߥ޿߆ࠄߢ޽ࠆ㧚ߒ߆ߒ㧘᷷ᐲᔕ╵ߪᵄേߦૃߚ᜼േࠍ␜ߔߩߢᡆ
ᡆᵄേ㧔࠙ࠚࠗࡉ࡜ࠗࠢ㧘wavelike㧕ߣ⒓ߔࠆ㧚
Fig.3(c)ߪ㧘᷷ᐲ൨㈩ߩ✭๺ᤨ㑆߇ᾲᵹ᧤ߩ✭๺ᤨ㑆ߣ৻⥌ߔࠆ႐ว㧘ߔߥࠊߜ㧘 [ T 0.5 ߩߣ߈

0.5

1.0

1.0

2.4

0.0
1.0
Position, ǯD  [T
Temperature, ǰ( ǯ, Ƕ)ࠆߣ Fig.3(b)ߩࠃ߁ߦߥࠆ(ߚߛߒ㧘[T  0.5 㧘ߔߥǶp =0.1
Ǎǯ=0.05ǯL =2.0
ǶT =0.1

0.0

4.0



ࠍ␜ߒߡ޿ࠆ㧚᷷ᐲવ᠞ߪᵄേߩ․ᓽ߇ቢోߦߥ
᜛ᢔ㧔diffusion㧕ߦࠃߞߡવࠊߞ
ߊߥߞߡ㧘ᾲߪ᜛
ߡ޿ࠆ㧚ࡈ࡯࡝ࠛߩᑼ߇ᚑ┙ߔࠆฎౖ⊛ߥ᜛ᢔㆊ⒟ߣᔕ╵ߩᒻߪోߊหߓߢ޽ࠆ߇㧘ടᾲ㐿ᆎᤨߩᔕ╵ߦ߅޿ߡ㧘⧯ᐓߩᤨ㑆⊛ߥㆃࠇ߇↢ߓߡ޿ࠆ㧚Fig.3(d)ߦߪ㧘᷷ᐲ൨㈩ߩ✭๺ᤨ㑆߇ᾲᵹ᧤ߩ✭. )ߩ᷷ᐲಽᏓߩ⚻๺ᤨ㑆ࠃࠅᄢ߈޿႐ว( [T 15ᤨᄌൻࠍ␜ߒߚ㧚ߎߩ႐ว߽᷷ᐲᔕ╵ߦߪᵄേߩ
․ᓽ߇ߥ޿㧚Fig.3(c)ߩ⚐☴᜛ᢔㆊ⒟ߣᲧセߔࠆߣ㧘ᾲᵹ᧤ߩ✭๺ᤨ㑆ࠃࠅ⍴޿ᤨ㑆▸࿐ߦ߅޿ߡ᷷ᐲ
ᔕ╵ߪࠃࠅㅦߊߥࠆ߇㧘ో૕ߣߒߡᾲᐔⴧߦ㆐ߔ
ࠆ߹ߢߩᤨ㑆߇⚐☴᜛ᢔㆊ⒟ࠃࠅ㐳ߊߥࠆ㧚ߎࠇߪᇦ⾰ߩਛߦ߅޿ߡᾲᐔⴧߦⷐߔࠆᤨ㑆߇㧘ో૕
ߩᾲ⒖േᤨ㑆ࠃࠅ㐳ߊߥࠆ߆ࠄߢ޽ࠆߣ⠨߃ࠄࠇࠆ㧚ߎࠇࠍㆊ
ㆊ᜛ᢔ(over diffusion)ߣ⒓ߔࠆ㧚ߎߩࠃ߁ߦ㕖ࡈ࡯࡝ࠛ⃻⽎ࠍᵄേ㧘ᡆᵄേ㧘᜛ᢔ㧘ㆊ᜛ᢔߩ 4 ⒳㘃ߦಽ㘃ߒ㧘ᢛℂߒߚߩߪᚒ‫ޘ‬߇ೋ߼ߡߢ޽ࠆ[23]㧚

Ƕp =0.1
Ǎǯ=0.05ǯL =2.0
ǶT =0.5

3.0
Ƕ=0.1

2.0
0.5

1.0

2.0

01
.  YCXGNKMG 

1.0

2.4

0.0
0.0

1.0
Position, ǯE  [T
Temperature, ǰ( ǯ,Ƕ)2.0

0  YCXG 

Ƕ=0.1

2.0



0.5  FKHHWUKQP 

4.0

Ƕp=0.1
Ǎǯ=0.05ǯL =2.0
ǶT =1.5

3.0
2.0

Ƕ=0.1

1.0

0.5

1.0

2.4

㧣㧚㕖ࡈ࡯࡝ࠛ⃻⽎ⷰኤ߳ߩࠕࡊࡠ࡯࠴
㕖ࡈ࡯࡝ࠛ⃻⽎ߩ᷹ቯ଀߇㕖Ᏹߦዋߥߊ㧘ᧄᒰߦߎߩࠃ߁ߥ⃻⽎߇⿠ߎࠆߩߢ޽ࠈ߁߆ߣߩ⇼໧߇๒ߐࠇߡ޿ࠆ㧚․ߦ㧘ᓸⷞ⊛ߥᾲવዉᯏ᭴ߦࠃ
ߞߡ⊒↢ߔࠆ㕖ࡈ࡯࡝ࠛ⃻⽎ߪࡑࠗࠢࡠ⑽એਅߩ
㜞ㅦᐲ⃻⽎ߢ޽ࠆߣ੍᷹ߐࠇࠆߩߢ᷹ቯ߇㕖Ᏹߦ㔍ߒ޿㧚ᚒ‫ߪޘ‬㧘ߎߩ㕖ࡈ࡯࡝ࠛ⃻⽎ࠍⷰኤߔࠆ

0.0
0.0

 F  [T
Fig.3

1.0
Position, ǯ

2.0



15
.  QXGTFKHHWUKQP 

Temperature distributions in a finite rigid
slab for various values of relaxation time.

વᾲ 2004 ᐕ 1 ᦬

0 㧘ߔߥࠊߜ᷷ᐲ൨㈩ߩ✭๺ᤨߩ᷷ᐲಽᏓߩᄌൻࠍ␜ߔ߽ߩߢ޽ࠆ㧚ߎߩ႐วߪ㧘ᵄേ(wave)ߦࠃߞߡવ᠞ߔࠆ㧚ߟ߹ࠅ㧘ᵄേᾲߪᵄᣇ⒟ᑼߩ⸃ࠍ␜ߒߚߎߣߦߥࠆ㧚ήᰴరᤨ㑆[ 01. , 0.5, 10. ߪ᷷ᐲᵄߩෘߐᣇะߩવ᠞㧘[ 2.4ߪ෻኿ᵄࠍ␜ߒߚ㧚৻ㅪߩᵄ㕙૏⟎ࠍ⷗ࠆߣ㧘ᵄߣߒߡߩㅴⴕߣ෻኿߇᣿⏕ߦⷰኤߐࠇࠆ㧚
᷷ᐲ൨㈩ߩ✭๺ᤨ㑆 [ T ߇㔖ࠃࠅ߿߿ᄢ߈ߊߥ

1.0

1.0

W T 2W q

㑆 W 7 ߇㔖ߩߣ߈㧘ήᰴరᤨ㑆Ƕߦኻߔࠆᇦ૕ౝㇱ

Ƕp=0.1
Ǎǯ=0.05ǯL =2.0
ǶT =0.0

0.5

t0 2W q , [Tt0 ߪടᾲ㐿ᆎᤨೞ㧘 x ߪෘߐᣇะ〒㔌㧘ߢ޽ࠆ㧚

Fig.3(a)ߪ㧘[ T4.0

t p 2W q , [0- 6 -વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻࡝ࠛ໧㗴ߩ⎇ⓥࠍㅴ߼㧘ᢥ₂ᰣߦ⸥タߒߚࠃ߁ߦ
ᄙߊߩᚑᨐࠍᓧߚ㧚․ߦ㧘ᢙቇ⊛ขࠅᛒ޿ߦ߅޿
ߡ⚛᥍ࠄߒ޿ജ㊂ࠍ⊒ើߒߚ㧚ෘߊᓮ␞↳ߒ਄ߍࠆ㧚ᧄⓂߦߪቇ໧⊛ߦᅷᒰߢ޽ࠆ߆ߤ߁߆ਇ᣿ߥ⑳⷗߇㓐ᚲߦ⸥タߐࠇߡ޿ࠆ㧚ߎࠇࠍ⺒ࠎߛᣇ߇㧘ߩߤߦೝߐߞߚዊ㛽߇ขࠇߕߦ㧘ߩߤߩࠗࠟࠗࠟ
߇߆߃ߞߡ߭ߤߊߥߞߚߩߢߪߥ޿߆ߣᕟࠇߡ޿
ࠆ㧚޿ߕࠇߦߒߡ߽㕖ࡈ࡯࡝ࠛ໧㗴ߪ㧘ታ⸽ߦਲߒߊ㧘⊒ዷㅜ਄ߩಽ㊁ߢ޽ߞߡ㧘੹ᓟߩ⎇ⓥᚑᨐ
ߦᄢ߈ߊଐሽߔࠆ߽ߩߢ޽ࠆ㧚ෳ⠨ᢥ₂
[1] S.I. Anisimov, B.L. Kapeliovich, and T.L.
Perel’man, Electron emission from metal surfaces
exposed to ultra-short laser pulses, Soviet Phys.
JETP, 39 (1974) 375.
[2] R.A. Guyer and J.A. Krumhansl, Solution of thelinearized phonon Boltzmann equation, Phys. Rev.,
148 (1966) 766.
[3] C. Cattaneo, Sur une forme de l'equation de lachaleur elinant le paradoxe d'une propagation
instantance, Comptes Rendus, 247 (1958) 431.
[4] P. Vernotte, Les paradoxes de la theorie continue
de l'equation de la chaleur, Comptes Rendus, 246(1958) 3154.
[5] D.Y. Tzou, A unified field approach for heat
conduction from macro- to micro-scales, ASME J.
Heat Transfer, 117 (1995) 8.

ߎߣࠍ߼ߑߒߡ㧘᷹ቯࠪࠬ࠹ࡓࠍ᭴▽ߒߡ޿ࠆ㧚㊄ዻ⭯⤑ࠍ㜞ㅦ࡟࡯ࠩߦࠃࠅടᾲߒߚߣ߈ߩ᷷ᐲ
ᔕ╵ࠍ෻኿ᴺߦࠃࠅ㜞ㅦᐲߢ᷹ቯߒࠃ߁ߣߔࠆ߽
ߩߢ޽ࠆ㧚ᭂૐ᷷㗔ၞߢߪ✭๺ᤨ㑆߇ᄢ߈ߊߥࠆ
ߩߢ㧘ࠢ࡜ࠗࠝࠬ࠲࠶࠻ߢ⹜ᢱࠍ಄ළߒ㧘นⷞశ✢ߩ෻኿₸ߩ᷷ᐲଐሽᕈߦၮߠ޿ߚᣇᴺ߇᷷ᐲᔕ╵ࠍᦨ߽㜞ㅦᐲߢ᷹ቯߢ߈ࠆߢ޽ࠈ߁ߣߒߡ㧘ታ㛎ࠍ⹜ߺߡ޿ࠆ[26]㧚
ታ㛎ⵝ⟎ߩో૕࿑ࠍ Fig.4 ߦ␜ߔ㧚⹜ᢱࠍቶ᷷
߆ࠄ 6 K ߩᭂૐ᷷߹ߢ଻ᜬߔࠆࠢ࡜ࠗࠝࠬ࠲࠶࠻
Ԝ㧘⹜ᢱ⴫㕙ࠍ 16 ns ߩ㜞ㅦࡄ࡞ࠬടᾲࠍⴕ߁
YAG ࡟࡯ࠩԢ㧘࡟࡯ࠩᓘߪ 8 mm ߢ޽ࠆ㧚⹜ᢱⵣ㕙ߩ᷷ᐲᔕ╵ࠍ㜞ㅦᐲߢ᷹ቯߔࠆࠪࠬ࠹ࡓԘ㨪ԛ㧚ߎࠇߪ㧘He-Ne ࡟࡯ࠩߩ෻኿శߩᄌൻࠍࡈࠜ࠻࠮
ࡦࠨߢ⺒ߺขࠆ㧚ߟ߹ࠅ㧘⹜ᢱ⴫㕙ߩ෻኿₸ߩ᷷ᐲߦࠃࠆᄌൻࠍ᷹ቯߔࠆ߽ߩߢ޽ࠆ㧚෻኿₸ߩ᷷ᐲߦኻߔࠆᄌൻ㊂ߪ㕖Ᏹߦዊߐ޿ߩߢ㧘᷹ቯ࿁〝ߦߪ⒳‫ߩޘ‬Ꮏᄦ߇ᣉߐࠇߡ޿ࠆ㧚᷷ᐲᔕ╵ߩ⴫␜
߅ࠃ߮⸥㍳ߪ 1GS/s ߩ㜞ㅦኻᔕ࠺ࠫ࠲࡞ࠝࠪࡠࠬ
ࠦ࡯ࡊԡࠍ↪޿ߡ޿ࠆ㧚ᧄⵝ⟎ࠍ↪޿ߡ㧘ෘߐ 50ȝ㨙ߩ SUS304 ⭯⤑ߩᾲ᜛ᢔ₸ࠍ 10 K ߩᭂૐ᷷ᐲ߹ߢ᷹ቯߔࠆߎߣ߇
ߢ߈ߚ[26]߇㧘㕖ࡈ࡯࡝ࠛ⃻⽎ࠄߒ߈᷷ᐲᔕ╵ࠍᝒ߃ࠆߎߣߪߢ߈ߥ߆ߞߚ㧚⹜ᢱෘߐࠍ⭯ߊߒ㧘᷷ᐲᔕ╵ߩ᷹ቯࠍߐࠄߦ㜞ㅦᐲߦߔࠆᔅⷐ߇޽ࠆ㧚㧤㧚ࠛࡇࡠ࡯ࠣ
ᧄⓂࠍ߹ߣ߼ࠆߦᒰߚߞߡ㧘㕒ጟᄢቇᎿቇㇱഥᚻ໊ᄢஉ᳁ߩᡰេࠍ޿ߚߛ޿ߚ㧚ห᳁ߪ㧘㕖ࡈ࡯

Ԙ

ԙ

Ԛ

ԛ
Ԟ

Ԡ

ԝ
Ԙ
ԡ
Ԣ

Fig. 4

Ԙ Photo detector;
ԙ Optical filter;Ԛ Prism;
ԛ He-Ne laser;Ԝ Cryostat;ԝ Sample;
Ԟ Temperature controller;ԟ Compressor;
Ԡ Preamplifier;ԡ Oscilloscope;Ԣ Nd: YAG laser;

Experimental setup for transient optical reflectivity measurement.

-7-

Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻

duction in a finite medium under periodic surface
thermal disturbance-II. Another form of solution,
Int. J. Heat Mass Transfer, 39 (1996) 3305.
[19] D.W. Tang and N. Araki, Analytical solution of
non-Fourier temperature response in a finite
medium under laser-pulse heating, Heat Mass
Transfer, 31 (1996) 359.
[20] D.W. Tang and N. Araki, Wave characteristic ofthermal conduction in metallic films irradiated byultra-short laser-pulse, J. Phys. D: Appl. Phys., 29(1996) 2527.
[21] D.W. Tang and N. Araki, Propagation of nonFourier temperature wave in finite medium underlaser-pulse heating: 2nd report, non-uniform
absorption in the direction of thickness of laser
irradiation with Gaussian temporal profile (inJapanese), Trans. JSME Ser. B, 62 (1996) 4183.
[22] D.W. Tang and N. Araki, Non-Fourier temperature wave and thermal relaxation time, Int. J.
Thermophys., 18 (1997) 493.
[23] D.W. Tang and N. Araki, Wavy, wavelike,diffusive thermal responses of finite rigid slabs tohigh-speed heating of laser-pulses, Int. J. Heat
Mass Transfer, 42 (1999) 855.
[24] D.W. Tang and N. Araki, An inverse analysis toestimate relaxation parameters and thermal
diffusivity with a universal heat conduction
equation, Int. J. Thermophys., 21 (2000) 553.
[25] D.W. Tang and N. Araki, Non-Fourier heat
conduction behavior in finite mediums underpulsed surface heating, Materials Science &Engineering A, 292 (2000) 173.
[26] N. Araki, D.W. Tang, and H. Kawashima,
Measurement of thermal diffusivity at low
temperature using an optical reflectivity technique,Int. J. Thermophys., 23 (2002) 245.
[27] D.W. Tang and N. Araki, Dynamical thermoelastic behavior predicted by an extended LordShulman theory, JSME Int. J. A: Solid Mech.
Material Eng., 46 (2003) 126.

[6] M.J. Maurer, Relaxation model for heat conduction in metals, J. Appl. Phys., 40 (1969) 5123.
[7] A. Vedavarz, S. Kumar, and M.K. Moallemi, Significance of non-Fourier heat wave in conduction,
ASME J. Heat Transfer, 116 (1994) 221.
[8] C. C. Ackerman and R. A. Guyer, Temperature
Pulses in Dielectric Solid, Ann. Phys., 50 (1968)
128.
[9] H. E. Jackson, C. T. Walker, and T. F. McNelly,
Second Sound in NaF, Phys. Rev., 25 (1970) 26.
[10] A. Vedavarz, K. Mitra, S. Kumar, and M.K.
Moallemi, Effect of hyperbolic conduction ontemperature distribution in laser irradiated tissue
with blood perfusion, ASME HTD, 231 (1992) 7.
[11] A.M. Brazhnikov, V.A. Karpychev, A.V. Luikova,
One engineering method of calculating heat
conduction processes, Inzhenerno Fizicheskij
Zhurnal, 28 (1975) 677.
[12] K. Mitra, S. Kumar, A. Vedavarz and M.K.
Moallemi, Experimental evidence of hyperbolicheat conduction in processed meat, ASME J. Heat
Transfer, 117 (1995) 568.
[13] W. Kaminski, Hyperbolic heat conduction
equation for materials with a nonhomogeneous
inner structure, ASME J. Heat Transfer, 112(1990) 555.
[14] D.W. Tang, N. Araki, N. Noda, and B.L. Zhou,
The macroscopic mechanism on the dynamic
thermal deformation of films under transientlaser-pulse heating, J. Phys. D: Appl. Phys., 28(1995) 990.
[15] D.W. Tang and N. Araki, Non-Fourier
temperature response in a finite medium underoscillatory heating (in Japanese), Trans. JSME Ser.
B, 61 (1995) 3316.
[16] D.W. Tang and N. Araki, Propagation of nonFourier temperature wave in finite medium underlaser-pulse heating (in Japanese), Trans. JSME Ser.
B, 62 (1996) 1136.
[17] D.W. Tang and N. Araki, Non-Fourier heat
conduction in a finite medium under periodic
surface thermal disturbance, Int. J. Heat Mass
Transfer, 39 (1996) 1585.
[18] D.W. Tang and N. Araki, Non-Fourier heat con-વᾲ 2004 ᐕ 1 ᦬- 8 -વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻Ⴚ⇇ጀᣇ⒟ᑼߩᢙℂ
Mathematical Aspect of Boundary-Layer Equationችౝ ᢅ㓶㧔᧲੩Ꮏᬺᄢቇ㧕
Toshio MIYAUCHI (Tokyo Institute of Technology)
1. 1905 ᐕߪ⑼ቇᛛⴚߩ․⇣ᐕ㧫
1905 ᐕߦࠕࠗࡦࠪࡘ࠲ࠗࡦߪశ㊂ሶ⺰㧘ࡉ࡜࠙ࡦㆇേ㧘․ᱶ⋧ኻᕈℂ⺰ߦ㑐ߔࠆ㧠✬ߩ⺰ᢥࠍ⊒⴫ߒߡ޿ࠆ[1]㧚หߓ 1905 ᐕ⊒ⴕߩ╙㧟࿁࿖㓙ᢙቇ⠪ળ⼏ߩ⼏੐㍳㧔⊒⴫ߪ 1904 ᐕ㧘ࡂࠗ࠺࡞ࡌ࡞
ࠢ㧕ߦࡊ࡜ࡦ࠻࡞ߩ⺰ᢥ‫☼ޟ‬ᕈߩᭂ߼ߡዊߐ޿ᵹ
૕ߩㆇേߦߟ޿ߡ‫߇ޠ‬ឝタߐࠇߡ޿ࠆ[2]㧚ࠕࠗࡦࠪࡘ࠲ࠗࡦߣࡊ࡜ࡦ࠻࡞ߦߪઁߩቇ⠪ߚߜߩᕁ޿
߽߆ߌߧᄢ⢙ߥ⌕ᗐ߆ࠄ಴⊒ߒߡ㧘⁛⥄ߩℂ⺰ࠍ᭴▽ߔࠆߣ޿߁౒ㅢὐ߇޽ࠆ㧚ߘߩߚ߼ਔ⠪ߣ߽
ᓐࠄߩℂ⺰ߩ␠ળ߳ߩฃኈߪㆃࠇ㧘1921 ᐕߩࠕࠗࡦࠪࡘ࠲ࠗࡦߩࡁ࡯ࡌ࡞‛ℂቇ⾨ฃ⾨ኻ⽎ߪ․ᱶ
⋧ኻᕈℂ⺰߿৻⥸⋧ኻᕈℂ⺰ߢߪߥߊ㧘శ㔚ലᨐ
ߩᴺೣߩ⊒⷗ߦኻߔࠆ߽ߩߢ޽ߞߚ㧚ࡊ࡜ࡦ࠻࡞
ߩ႐วߦ߽ 1905 ᐕߩᓐߩ⺰ᢥߩ೨ߦห᭽ߥ⠨߃ߩ⊒⴫ߪߥߊ㧘ߘߩᓟ߽ 20 ᐕㄭߊࡊ࡜ࡦ࠻࡞ߩ㐷ਅ↢ߦࠃࠆᢙ✬ߩ⺰ᢥࠍ㒰޿ߡᓟ⛯ߔࠆ߽ߩ߇ߥ
߆ߞߚ[3]㧚

ࠃࠅᓢ‫ߦޘ‬㆙ᣇߦ෸ࠎߢࠁߊ㧚ߘߎߢ☼ᕈߩ૞↪
ߩ෸߱㜞ߐࠍ G (t ) ߣ⴫ߔߎߣߦߔࠆ㧚 y ࠍ G (t ) ߢήᰴరൻߔࠇ߫㧘ㅦᐲಽᏓߪ⋧ૃߣߥࠆߎߣ߇੍
᷹ߐࠇࠆ㧚ߘߎߢ㧘K y / G (t )  (2)u( y , t ) U 0 f (K )ߣ߅ߊߣ㧘࠽ࡆࠛ࡮ࠬ࠻࡯ࠢࠬᣇ⒟ᑼ(1)ߩฦ㗄ߪ
df w § y · ¨¸
dK wt ¨© G (t ) ¸¹df §ydG (t ) ·
U0
¨

¸
dK ¨© G (t ) 2
dt ¸¹

wu
wt

Q

U0

w § df wK ·¨¸
wy ¨© dK wy ¸¹1 ·w § dfQU 0 ¨¨¸wy © dK G (t ) ¸¹
d 2 f wK 1
QU 0
dK 2 wy G (t )
d2 f
1
QU 0

dK 2 G (t ) 2
w 2u
wy 2

QU 0

࡟ࠗ࡝࡯໧㗴ߣߥࠆ㧚ߒߚ߇ߞߡ㧔1㧕ᑼߪႺ⇇ጀᣇ⒟ᑼߦߟ޿ߡ⠨߃ࠆ೨ߦ㧘࡟ࠗ࡝࡯໧
㗴ߦߟ޿ߡ⠨߃ࠆ㧚࡟ࠗ࡝࡯໧㗴ߣߪᐔ㕙ო߇ඨή㒢㗔ၞߩ㕖࿶❗ᕈ☼ᕈᵹ૕ߦធߒߡ߅ࠅ㧘ოࠍ޽ࠆ⍍㑆߆ࠄ⓭ὼ৻ቯߩㅦᐲ U 0 ߢធ✢ᣇะߦേ߆ߒߚ႐วߦᵹ૕ਛߦᒻᚑߐࠇࠆ㕖ቯᏱߥᵹㅦಽ
Ꮣࠍ᳞߼ࠆ໧㗴ߢ޽ࠆ㧚ოߩធ✢ᣇะ㧘ᴺ✢ᣇะߦ x ゲ㧘 y ゲࠍߣࠆߣ㧘ᵹㅦߪ x ᚑಽ u( y , t ) ߩߺߣߥࠅ㧘࿶ജߪᵹࠇߩ႐ߢ৻ቯߢ޽ࠆߎߣ߆ࠄ㧘࠽ࡆࠛ࡮ࠬ࠻࡯ࠢࠬᣇ⒟ᑼߪ
wu
w 2u
Q 2
  (1)wt
wy

d2 f
df § G (t ) dG (t ) ·
 2K

¨
¸
dK 2
dK © 2Q
dt ¹0  (4)c 2 㧔㧩৻ቯ୯㧕  (5)ߣߥࠆ㧚ߎߩᑼ߆ࠄG (t ) dG (t )2Qdtߩ႐วߦ㧘⋧ૃ⸃ࠍᜬߟߎߣ߇ಽ߆ࠆ㧚৻⥸ᕈࠍᄬ߁ߎߣߥߊ c 2
␆ᣇ⒟ᑼߪ
f cc  2Kf c 0

1 ߣ߅ߊߎߣ߇ߢ߈ࠆߩߢ㧘ၮ  (6)Ⴚ⇇᧦ઙߪf ( 0) 1 㧘 f ( f )ߣߥࠆ㧚ߎߎߦ Q ߪേ☼ᕈଥᢙߢ޽ࠆ㧚߹ߚ㧘Ⴚ⇇᧦ઙߪ
u(0, t ) U 0 , u( f, t )  (3)0ߣߥࠆ㧚(6)ᑼߪ㧘
0

2K

ߢ޽ࠆ㧚

 f cc / f c( d ( f c) / dK ) / f c

d (ln f c) / dKო߇ㆇേࠍᆎ߼ߚߣ޿߁ᖱႎߪ㧘☼ᕈߩ૞↪ߦ

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Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ߣߥࠅ㧘਄ᑼࠍⓍಽߔࠆߣ㧘 K 2  const.

ᐔ᧼ߦᴪ߁ጀᵹႺ⇇ጀln f cᵹㅦ U ( x, t ) ߩ㕖࿶❗ᕈ☼ᕈᵹ૕ਛߦ⟎߆ࠇߚᐔ᧼ߦᴪ߁ጀᵹႺ⇇ጀࠍኻ⽎ߣߔࠆ႐ว㧘ᐔ᧼ߩࠬࡄࡦᣇะߦߪᄌൻ߇ߥ޿ߚ߼㧘ᐔ᧼ߩធ✢ᣇะࠍ x ゲ㧘ᴺ✢ᣇะࠍ y ゲߣߒߚੑᰴర໧㗴ߣߒߡᛒ߁ߎߣ߇ߢ߈ࠆ㧚ߎߩ႐ว㧘u( x, y , t ) , v ( x, y , t ) ߦኻߔࠆၮ␆ᣇ⒟ᑼߪㅪ⛯ߩᑼߣ࠽ࡆࠛ࡮ࠬ࠻࡯ࠢ
ࠬᣇ⒟ᑼߢ޽ࠅ㧘ᰴߩࠃ߁ߦߥࠆ㧚
wu wv

0
  (8)wx wy

ߎࠇࠍᢛℂߔࠆߣ㧘df
D exp( K 2 )dK߇ᓧࠄࠇ㧘਄ᑼࠍ߽߁৻ᐲⓍಽߔࠆߣ㧘Kf (K ) D ³ exp( K 2 )dK  E    (7)0ߣߥࠆ㧚Ⴚ⇇᧦ઙ߆ࠄ㧘D

2 / S 㧘 E

1ߣߥࠅ㧘(1)ᑼߩ⸃ߪ㧘U ( y , t ) U 0 (1  erf (K ))erf (K )2 K
2³ exp( K )dK

S 0

ߣߥࠆ㧚
ߐߡ㧘
㧔5㧕ᑼߪ৻㓏ߩᏱᓸಽᣇ⒟ᑼߢ޽ࠆߩߢ㧘ኈᤃߦ⸃ࠍ᳞߼ࠆߎߣ߇ߢ߈㧘ߘߩ⸃ߪG (t )§ w 2u w 2u ·1 wp
 Q ¨¨ 2  2 ¸¸ (9)
U wx
wy ¹
© wx

wv
wv
wv
u
v
wt
wx
wy



§ w 2v w 2v ·1 wp
 Q ¨¨ 2  2 ¸¸ (10)
U wy
wy ¹
© wx

u( x,0, t )0 㧘 v ( x,0, t )

0

2 Qt

u ( x , f, t ) U ( x , t ) 㧘 v ( x , f , t )Ⴚ⇇ጀ㧔ᐔ᧼ㄭறߩ☼ᕈߩᓇ㗀ߩථ⿧ߒߚ㗔ၞ㧕ౝߢ㧔8㧕㧘
㧔9㧕㧘㧔10㧕ᑼߩฦ㗄ߩᄢ߈ߐߩ⹏ଔࠍ
ⴕ߁㧚೨┨ߦ߅޿ߡ㧘ᐔ㕙ოࠍ޽ࠆ⍍㑆߆ࠄ⓭ὼ৻ቯߩㅦᐲ U 0 ߢធ✢ᣇะߦേ߆ߒߚ႐ว߽㧘ოࠍធ✢ᣇะߦ৻ቯߩⷺᝄേᢙ Z ߢᝄേߐߖߚ႐ว
߽౒ߦ☼ᕈߩ૞↪ߩ෸߱㜞ߐߪേ☼ᕈଥᢙߩᐔᣇ
ᩮߦᲧ଀ߔࠆߎߣ߇᣿ࠄ߆ߦߐࠇߡ޿ࠆ㧚ߔߥࠊߜ  G v Q 1/ 2

y / Qtᐔ㕙ო߇ඨή㒢㗔ၞߩ㕖࿶❗ᕈ☼ᕈᵹ૕ߦធߒ
ߡ߅ࠅ㧘ოࠍធ✢ᣇะߦ৻ቯߩⷺᝄേᢙ Z 㧘ᦨᄢㅦᐲ U 0 ߢᝄേߐߖߚ႐วߦᵹ૕ਛߦᒻᚑߐࠇࠆ
㕖ቯᏱߥᵹㅦಽᏓࠍ᳞߼ࠆ႐วߩၮ␆ᣇ⒟ᑼ߽
㧔1㧕ᑼߢਈ߃ࠄࠇ㧘Ⴚ⇇᧦ઙߪu(0, t ) U 0 cos Zt 㧘 u( f, t )ߢ޽ࠆ㧚ਥᵹߩઍ⴫ㅦᐲ U 0 㧘ᐔ᧼ߩ㐳ߐ l ߢήᰴ0రൻߔࠆߣ㧘

ߣߥࠆ㧚ߎߩ໧㗴ߩ⸃ߪu( y , t ) U 0 exp( K ) cos(Zt  K )y / G (Z ) , G (Z )G /l v

2Q / Zߣߥࠆ[4]㧚

Q
U 0lv Re 1 / 2 , Re U 0 l / Q   (11)ߣߥࠅ㧘Ⴚ⇇ጀෘߐ㧔☼ᕈߩ૞↪ߩ෸߱㜞ߐ㧕ߪ࡟ࠗࡁ࡞࠭ᢙߩᐔᣇᩮߦㅒᲧ଀ߔࠆߎߣ߇ಽ߆ࠆ㧚ߎߩߎߣߪ㧘࡟ࠗࡁ࡞࠭ᢙ߇㜞ߊߥࠇ߫㜞ߊߥࠆ߶ߤႺ⇇ጀෘߐ߇⭯ߊߥࠆߎߣࠍᗧ๧ߔࠆ㧚ߎߩႺ⇇ጀߩᄖ஥ߪ㧘☼ᕈߩലᨐࠍήⷞߔࠆߎߣ߇ߢ
߈ࠆߚ߼㧘ࡐ࠹ࡦࠪࡖ࡞ᵹࠇߢ޽ࠆߣ⠨߃ࠆߎߣߎߩࠃ߁ߦ㧘ᐔ㕙ოࠍ޽ࠆ⍍㑆߆ࠄ⓭ὼ৻ቯߩㅦᐲ U 0 ߢធ✢ᣇะߦേ߆ߒߚ႐ว߽㧘ოࠍធ✢ᣇะߦ৻ቯߩⷺᝄേᢙ Z ߢᝄേߐߖߚ႐ว߽౒ߦ
☼ᕈߩ૞↪ߩ෸߱㜞ߐߪേ☼ᕈଥᢙߩᐔᣇᩮߦᲧ
଀ߔࠆߎߣ߇ಽ߆ࠆ㧚વᾲ 2004 ᐕ 1 ᦬

0

ߣߥࠆ㧚

ߪ㧘Boltzmann ᄌ឵ߣ๭߫ࠇߡ޿ࠆ㧚K߹ߚ㧘Ⴚ⇇᧦ઙߪ

ߣߥࠆ㧚ߔߥࠊߜ㧘☼ᕈߩ૞↪ߩ෸߱㜞ߐ G (t ) ߪേ☼ᕈଥᢙߩᐔᣇᩮ㧘ᤨ㑆ߩᐔᣇᩮߦᲧ଀ߒߡᄢ
߈ߊߥࠆߎߣ߇ಽ߆ࠆ㧚ᄌᢙᄌ឵

K

wu
wu
wu
u
v
wt
wx
wy

- 10 -

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻߇ߢ߈ࠆ㧚✼ߦ߅ߌࠆ࿶ജߦ╬ߒߊ㧘Ⴚ⇇ጀౝߢ࿶ജߪ y ᣇะߦᄌൻߒߥ޿ߎߣ߇ಽ߆ࠆ㧚Ⴚ⇇ጀߩᄖ஥ߢߪ㧘☼ᕈߩലᨐࠍήⷞߔࠆߎߣ߇ߢ߈㧘ࡐ࠹ࡦࠪࡖ࡞
ᵹࠇߢ޽ࠆߣ⠨߃ࠄࠇࠆߚ߼㧘Ⴚ⇇ጀᄖ✼ߩ࿶ജߪਥᵹㅦᐲ U ( x, t ) ࠍ↪޿ߡ
wU
wU
1 wp
U

wt
wx
U wx

㧔8㧕㧘
㧔9㧕
㧘㧔10㧕ᑼߩ x ᐳᮡࠍᐔ᧼㐳ߐ l ߢ㧘y ᐳᮡࠍႺ⇇ጀઍ⴫ෘߐ G 0 ߢ㧘 x ᣇะᵹㅦࠍਥᵹߩઍ
⴫ㅦᐲ U 0 ߢ㧘y ᣇะᵹㅦࠍႺ⇇ጀᄖ✼ߦ߅ߌࠆ y2ᣇะㅦᐲ V0 ߢ㧘࿶ജࠍਥᵹߩേ࿶ߩ㧞୚ UU 0 ߢ㧘ᤨ㑆ࠍ l / U 0 ߢήᰴరൻߔࠆߣ㧘l V0 wv *wu *0  (12)*wx
G 0 U 0 wy ***ߦࠃࠅ᳿ቯߔࠆߎߣ߇ߢ߈ࠆ㧚ᐔ᧼Ⴚ⇇ጀߩ႐ว㧘Ⴚ⇇ጀߦࠃࠆឃ㒰ෘߐߩᓇ㗀ࠍήⷞߔࠇ߫㧘ਥᵹㅦᐲߪ৻ቯߣߥࠆߚ߼㧘Ⴚ⇇ጀᄖ✼ߩ࿶ജ߽ x ᣇะߩ૏⟎ߦࠃࠄߕ৻ቯߣߥࠆ㧚એ਄߆ࠄ㧘ᵹㅦ U ( x, t ) ߩ㕖࿶❗ᕈ☼ᕈᵹ૕ਛߦ
⟎߆ࠇߚᐔ᧼ߦᴪ߁ጀᵹႺ⇇ጀࠍᡰ㈩ߔࠆၮ␆ᣇ
⒟ᑼߪ
wu wv

0
  (15)
wx wy*

l V0 * wu
wuwuv
 u* * wt *wx
G 0 U 0 wy *wp *1 § w 2u* l 2 w 2u* ·¨ *2  2 *2 ¸
 * wxRe ¨© wx
G 0 wy ¸¹  (13)wv *wv *l V0 * wv *
 u* * v*
wt
wx
G 0 U 0 wy *l U 0 wp *1 § w 2v* l 2 w 2v* ·
¨
¸



G 0 V0 wy * Re ¨© wx * 2 G 0 2 wy * 2 ¸¹

(14)

wu
wu
wu
u
v
wt
wx
wy

ߣߥࠆ㧚߹ߚ㧘Ⴚ⇇᧦ઙߪu * ( x * ,0, t * )0 㧘 v * ( x * ,0, t * ) 0
u * ( x * , f, t * ) 1 㧘 v * ( x * , f, t * ) 0ߢ޽ࠆ㧚ߎߎߢ㧘u * ╬ߪήᰴరߩ㊂ࠍ⴫ߒߡ޿ࠆ㧚㧔13㧕ᑼߩฝㄝ╙㧞㗄ߩ☼ᕈ㗄ਛߩ╙㧝㗄ߣ╙㧞2㗄ࠍᲧセߔࠆߣ㧘 l 2 / G 0 v Re ߢ޽ࠆ߆ࠄ㧘࡟ࠗࡁ࡞࠭ᢙ߇චಽߦᄢ߈ߥ႐วߦ㧘 x ߩ㧞㓏ᓸಽߪ yߩ㧞㓏ᓸಽߦᲧߴߡήⷞߔࠆߎߣ߇ߢ߈ࠆ㧚߹ߚ㧘(12)ᑼߩㅪ⛯ߩᑼߩ x ᓸಽߣ y ᓸಽ߇㊒ࠅว߁ߎ
ߣ߆ࠄ㧘
l V0
O (1)
G0 U0

0

G0
l

1 wp

1 wp
w 2u
Q 2
U wx
wy

  (16)  (17)

U wy

ߣߥࠆ㧚
(9)ᑼߣ(16)ᑼࠍᲧセߔࠆߣ㧘(9)ᑼ߇ x ߩ㧞㓏ᓸಽߣ y ߩ㧞㓏ᓸಽࠍ฽߻ᬦ౞ဳߩ஍ᓸಽᣇ⒟ᑼߢ
޽ࠆߦኻߒߡ㧘(16)ᑼߪ y ߩ㧞㓏ᓸಽߩߺࠍ฽߻
᡼‛ဳߩ஍ᓸಽᣇ⒟ᑼߦߥߞߡ߅ࠅ㧘ᣇ⒟ᑼߩᒻ
߇⇣ߥߞߡ޿ࠆߎߣ߇ಽ߆ࠆ㧚ᬦ౞ဳߩ஍ᓸಽᣇ⒟ᑼߩ႐ว㧘ೋᦼ᧦ઙ߅ࠃ߮ x ߣ y ߦኻߔࠆߘࠇ
ߙࠇ㧞ߟߩႺ⇇᧦ઙ߇ᔅⷐߢ޽ࠅ㧘ߘߩ⸃ߪ਄ᵹ
߅ࠃ߮ਅᵹߩᓇ㗀ࠍฃߌࠆ㧚ߘࠇߦኻߒߡ㧘᡼‛ဳߩ஍ᓸಽᣇ⒟ᑼߩ႐ว㧘ೋᦼ᧦ઙ߅ࠃ߮ x ߦኻߔࠆ㧝ߟߩႺ⇇᧦ઙߣ y ߦኻߔࠆ㧞ߟߩႺ⇇᧦ઙߩߺ߇ᔅⷐߢ޽ࠅ㧘ߘߩ⸃ߪ਄ᵹႺ⇇᧦ઙߩߺߢ
᳿߹ࠅ㧘ਅᵹᣇะߦⓍಽࠍㅴ߼ࠆߎߣ߇ߢ߈ࠆ㧚ߎߩߎߣ߇Ⴚ⇇ጀᣇ⒟ᑼߩఝ૏ᕈߩၮߣߥߞߡ޿
ࠆ㧚ߣߥࠆ㧚ߔߥࠊߜ
V0 v





U 0 v U 0 / Reߣߥࠅ㧘Ⴚ⇇ጀᄖ✼ߦ߅ߌࠆ y ᣇะㅦᐲߪ࡟ࠗࡁ
࡞࠭ᢙߩჇടߦ઻޿㧘1 / Re ߦᲧ଀ߒߡዊߐߊߥ
ࠆߎߣ߇ಽ߆ࠆ㧚(14)ᑼߩฝㄝ╙㧝㗄ߩ࿶ജ൨㈩㗄ߪઁߩ㗄ߦᲧ
ߴߡ
l U0
v Re
G 0 V0ᐔ᧼Ⴚ⇇ጀߩࡉ࡜ࠫ࠙ࠬ⸃
೨┨ߢ᣿ࠄ߆ߦߒߚࠃ߁ߦ৻᭽ᵹㅦ U 0 ߩ㕖࿶❗ᕈ☼ᕈᵹ૕ਛߦ⟎߆ࠇߚᐔ᧼ߦᴪ߁ጀᵹႺ⇇ጀߦኻߔࠆၮ␆ᣇ⒟ᑼߪ
wu wv

0
  (18)
wx wyߛߌᄢ߈ߊ㧘㜞࡟ࠗࡁ࡞࠭ᢙߩ႐ว㧘ઁߩ㗄ߪ࿶
ജ൨㈩㗄ߦᲧߴߡήⷞߔࠆߎߣ߇ߢ߈ࠆ㧚ߒߚ߇
ߞߡ㧘
wp
0
wy

u

ߣߥࠆ㧚ߎߩߎߣ߆ࠄႺ⇇ጀౝߩ࿶ജߪႺ⇇ጀᄖ- 11 -

wu
wu
v
wx
wy

Q

w 2u
wy 2

  (19)

Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ߣߥࠅ㧘࿶ജߪᵹࠇߩ႐ో૕ߢ৻ቯߣߥࠆ㧚߹ߚႺ⇇᧦ઙߪu( x,0) v ( x,0) 0  (20)u ( x, f ) U 0

ᵹ㑐ᢙ < ߣ⋧ૃᄌᢙ K ࠍ↪޿ߡၮ␆ᣇ⒟ᑼ(19)ߩฦ㗄ࠍ⴫ߔߣ
1K
wK

2x
wx

  (21)ߣߥࠆ㧚೨┨ߩ(11)ᑼ߆ࠄ㧘ᐔ᧼వ┵߆ࠄ x 㔌ࠇߚ႐ᚲ

wK
wy

1

Qx / U 0ߦ߅ߌࠆႺ⇇ጀෘߐߪߢ޽ࠆ߆ࠄ㧘
w< w< wK
u
wy
wK wy

Qx

G ( x) v

U0

ߣ⷗Ⓧ߽ࠆߎߣ߇ߢ߈ࠆ㧚ߘߎߢ࡟ࠗ࡝࡯໧㗴ߣห᭽ߦ y ࠍ Qx /U 0 ߢήᰴరൻߒߡ⋧ૃᄌᢙ

v

y

K

Qx /U 0ࠍዉ౉ߒߡ⋧ૃ⸃ࠍ᳞߼ࠆߎߣࠍ⠨߃ࠆ㧚㧔Kays
ࠄ[5]ߪ࡟ࠗ࡝࡯໧㗴ߦ߅ߌࠆߩߣห᭽ߥᣇᴺࠍ
↪޿ߡ㧘⋧ૃᄌᢙ߇਄ᑼߣߥࠆߎߣࠍ␜ߒߡ޿
ࠆ㧚㧕
⋧ૃ⸃ߪ
u
g (K )
U0ߣ઒ቯߔࠆߎߣ߇ߢ߈ࠆ㧚ㅦᐲߣᵹ㑐ᢙߩ㑐ଥu w< / wy
w< / wxv  (22)  (23)dy
dK  c( x )dKQx / U 0 ³ g (K )dK  c( x )ࠍᓧࠆ㧚਄ᑼࠍ(23)ᑼߦઍ౉ߔࠆߣ㧘w QU 0 x ³ g (K )dK

w c( x )wx
wxߣߥࠅ㧘 y 0 ߢ v 0 ߩ᧦ઙ߇ḩߚߐࠇࠆߚ߼ߦ
ߪ㧘 c( x ) 0 ߣߔࠇ߫ࠃ޿ߎߣ߇ಽ߆ࠆ㧚ᓥߞߡ³ g (K )dK ࠍ f (K ) ߣᦠߊߣᵹ㑐ᢙ < ߪ


<QU 0 x f (K )

U 0 f cc(K )

wu
wy

wu wK
wK wy

U 0 f cc(K )

K
2x
U0
Qx

f c(K )

A1  A2K 

A3 2 A4 3
K  K  2!
3!

f cc(K )A2  A3K 

A4 2 A5 3
K  K  2!
3!

f ccc(K )A3  A4K 

A5 2 A6 3
K  K  2!
3!

  (24)ߣߥࠆ㧚 Kߣߥࠆ㧚વᾲ 2004 ᐕ 1 ᦬

wu wK
wK wx

ߣߥࠆ㧚(25)ᑼߪ㧟㓏ߩ㕖✢ᒻᏱᓸಽᣇ⒟ᑼߢ޽
ࠅ㧘K 0 ߢੑߟ㧘K f ߢ৻ߟߩႺ⇇᧦ઙ߇ਈ߃
ࠄࠇࠆੑὐႺ⇇୯໧㗴ߣߥߞߡ޿ࠆ㧚ࡉ࡜ࠫ࠙ࠬߪᣇ⒟ᑼ(25)ߩ⸃ࠍ⚖ᢙዷ㐿ᴺߣ៨
േᴺࠍ↪޿ߡ᳞߼ߡ޿ࠆ㧚߹ߕ㧘ო㕙ㄭறߩ⸃ࠍ
᳞߼ࠆߚ߼ߦ f (K ) ࠍ K 0 ߩ๟ࠅߦ⚖ᢙዷ㐿ߔࠆߣ㧘AAf (K ) A0  A1K  2 K 2  3 K 3    
2!
3!

QU 0 x ³ g (K )dK  c( x )

v

wu
wx

ࠍᓧࠆ㧚Ⴚ⇇᧦ઙߪ㧘(20)㧘(21)ᑼߦኻᔕߒߡ㧘f c(0) 0 , f (0) 0 , f c( f ) 1
  (26)³ udy  c( x ) U 0 ³ g (K )U0w<
1 QU 0wKf (K )  QU 0 x f c(K )
wx
2
x
wx
1 QU 0Kf c(K )  f (K )2x
U 0 ·¸ wKw 2uw §¨
U 0 f cc(K )
2
wy
wK ¨©
Qx ¸¹ wy2
U0
f ccc(K )Qxߣߥࠆ㧚ߎࠇࠄࠍ(19)ᑼߦઍ౉ߔࠆߣ㧘2 f ccc  ff cc 0 
  (25)ߩౝ㧘(22)ᑼࠍ y ߢⓍಽߔࠇ߫
<U 0 f c(K )- 12 -

0 ߦ߅ߌࠆႺ⇇᧦ઙ߆ࠄવᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻0 㧘 A1

A0

sc

s

¹
s

©

sc
 H 2 §¨ 2 f 2  f 0 f 2©

ߣߥࠆ㧚⚖ᢙዷ㐿ࠍ(25)ᑼߦઍ౉ߒ㧘 K ߩ╬ࡌࠠߣߥࠆ㧚 H ߩ╬ࡌࠠߩฦ㗄ࠍ㧜ߣ⟎ߊߣ㧘ߩ㗄ߏߣߦ߹ߣ߼ࠆߣ㧘
1
2
A2  2 A5 K 2
2!
1
 4 A2 A3  2 A6 K 3     0
3!

2 f0

2 A3  2 A4K 

0 , A8



11
A2 A5
2

f (K )

 f0 f0

s

0
0

sc
s
s
s
2 f 2  f 0 f 2  f 2 f 0  f1 f1 =0

ࠍᓧࠆ㧚K f ߢ f c 1 ߣߥࠆߎߣࠍ⠨ᘦߒߡ਄ߩ
╙ 1 ᑼࠍḩߚߔ╙ 0 ㄭૃߩ㑐ᢙ f 0 ߣߒߡᦨ߽◲නߥ✢ᒻ⸃
f0 K  E

11 3
A2 ,  
4ࠍㆬ߱ߎߣߦߔࠆ㧚਄ᑼࠍ f 1 ߦ㑐ߔࠆᓸಽᣇ⒟ᑼ
ߦઍ౉ߔࠆߣ

A2 D ߣ߅ߊߣ㧘 f ࠍᰴߩࠃ߁ߦ⴫ߔߎߣ߇ߢ߈
ࠆ[4]㧚

sc
s
2 f1  K  E f1

0

n

n 1
§ 1 · D C n 3n  2
K
¦¨ ¸
n 0©
2 ¹ 3n  2 !
f

sc

sc
s
s
2 f1  f 0 f1  f1 f 0

ߣߥࠆ㧚K 0 ㄭறߩ⸃ߪ 3 ߟߩႺ⇇᧦ઙߩ߁ߜ 2ߟߒ߆ḩ⿷ߢ߈ߥ޿ߩߢ㧘A2 ࠍࡄ࡜ࡔ࡯࠲ߣߒߡ
ᱷߔߣ㧘ฦଥᢙ߇ᰴߩࠃ߁ߦߥࠆ㧚
1 2
A3 0 , A4 0 , A5  A2 , A6 0 ,
2
A7

sc
s
s
©
¹
s
s·
 f 2 f 0  f1 f1 ¸     0¹

H 0 §¨ 2 f 0  f 0 f 0 ·¸  H §¨ 2 f 1  f 0 f 1  f 1 f 0 ·¸0ߎߎߢ㧘C0 0 , C1 1 , C2 11 , C3
C4 27,897 , C5 3,817,137

  (27)

᡿ߦ
sc
f1
s
f1

375

1
E K
2

ߎࠇࠍⓍಽߔࠇ߫

ߢ޽ࠆ㧚㧔ߎߩࠃ߁ߥ⚖ᢙዷ㐿ߪ෼᧤ඨᓘ߇⁜޿ߎߣ߇ Weyl ߦࠃߞߡ␜ߐࠇߡ߅ࠅ㧘Ᏹᓸಽᣇ⒟ᑼߩᢙ୯⸃ߦࠃࠅ⸃ࠍ᳞߼ࠆߎߣ߇൘߼ࠄࠇߡ޿
ࠆ[6,7]㧚㧕
ᰴߦ K f ߢߩ៨േ⸃ࠍ᳞߼ࠆ㧚ߘߩߚ߼ߦ fࠍࡄ࡜ࡔ࡯࠲ H ߩࡌࠠ⚖ᢙߣߒߡᰴߩࠃ߁ߦ⴫ߔ㧚

1
1
EK  K 2  c
2
4

s
ln f1

ߣߥࠆ㧚ᣂߒ޿Ⓧಽቯᢙࠍ J ߣߒߡ㧘


c

E2
4

 ln Jsf

f 0  Hf1  H 2 f 2  H 3 f 3    ߣ⟎ߊߣ㧘 f1 ߪ

f cc

s
s
s
s
f 0  Hf 1  H 2 f 2  H 3 f 3    

f ccc

f0

­ 1
2½
KE ¾
¯ 4
¿
ߣߥࠆ㧚Ⴚ⇇᧦ઙ

sc

s
f1

sc
sc
sc
 Hf 1  H 2 f 2  H 3 f 3    

J exp ®fcf

ߎߎߢ㧘 f i ߪ K ߦ㑐ߔࠆᧂ⍮㑐ᢙߢ޽ࠆ㧚៨േ⸃ߩ႐ว㧘╙㧜ㄭૃ⸃ f 0 ߇ಽ߆ߞߚߣߒߡ㧘ߘࠇߦኻߔࠆ⵬ᱜ㑐ᢙ f1 (K ) ! f 2 (K ) ! f 3 (K ) !    ࠍ᳞߼ࠆߎߣߦߥࠆ㧚
਄⸥ߩ㑐ଥᑼࠍ㧔25㧕ᑼߦઍ౉ߒߡ㧘 H ߩ╬ࡌcccf 0 f  f1 f  f 2 f     1

ߔߥࠊߜ
c
f1 f

0

s
ࠍ⠨ᘦߦ౉ࠇߡ f1 ࠍ߽߁৻ᐲⓍಽߔࠇ߫ࠠ㗄ߏߣߦ߹ߣ߼ࠆߣ㧘c
f1- 13 -f­ 1
2½
J ³ exp ® K  E ¾dKK¯ 4¿

Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ߣߥࠆ㧚਄ᑼࠍߐࠄߦⓍಽߒ㧘Hߩ๺ࠍߣࠇ߫
f K

⺰㑐ଥߩ࡟ࡆࡘ࡯⺰ᢥ߇ᢙᄙߊឝタߐࠇߡ߅ࠅ㧘
Vol.33[11]ߦߪ Vol.1 ߆ࠄ Vol.33 ߹ߢߩฦ┨ߩ࠲ࠗ࠻࡞߇ឝタߐࠇߡ޿ࠆߩߢ㧘⥝๧޽ࠆᣇߦߪ৻⺒ࠍ߅൘߼ߔࠆ㧚 Ⴚ⇇ጀℂ⺰ߩ⠨߃ᣇߪ㧘ᵹ૕ജቇߩߺߥࠄߕ㕖✢ᒻᣇ⒟ᑼߩ⸃ᴺߣߒߡ㧘․⇣៨േᴺ[7,12]ߣ๭߫
ࠇࠆᚻᴺߦ⊒ዷߒߚ㧚ߎߩࠃ߁ߦႺ⇇ጀℂ⺰ߪ 20਎♿ࠍㅢߒߡ⊒ዷߒߚஉᄢߥℂ⺰ߢ޽ࠆߣ޿߁ߎ
ߣ߇ߢ߈ࠆ㧚

1 ߣ⟎޿ߡ f 0 ߣ

KE

­ 1
2½
 J ³ ³ exp ® K  E ¾dKdK 
KK
¯ 4
¿
ff

  (28)ߣߥࠆ㧚៨േ⸃ߩ♖ᐲࠍ਄ߍࠆߦߪ f 2 ࠍ᳞߼ࠇ߫
ࠃ޿߇㧘ታ↪਄ߩ໧㗴ߦኻߒߡ(28)ᑼߪචಽߥ♖ᐲࠍ᦭ߒߡ޿ࠆ㧚(28)ᑼߪ K f ߦ߅ߌࠆ৻ߟߩႺ⇇᧦ઙߒ߆ਈ
߃ࠄࠇߡ޿ߥ޿ߚ߼㧘ੑߟߩⓍಽቯᢙ E , J ࠍ฽ࠎߢ޿ࠆ㧚৻ᣇ㧘 K ߩዊߐߥߣߎࠈߢᚑ┙ߔࠆ(27)ᑼߪ K 0 ߦ߅ߌࠆੑߟߩႺ⇇᧦ઙߒ߆ਈ߃ࠄࠇ
ߡ޿ߥ޿ߚ߼㧘৻ߟߩⓍಽቯᢙ D ࠍ฽ࠎߢ޿ࠆ㧚ߎࠇࠄੑߟߩ⸃߇ߣ߽ߦᚑ┙ߔࠆ㗔ၞߢ㧘
f , f c, f cc ߇ធ⛯ߔࠆࠃ߁ߦቯᢙ D , E , J ࠍ᳿ቯߔࠆ
ߣ㧘
D 0.332 , E 1.73 , J 0.231ෳ⠨ᢥ₂[1] ḡᎹ⑲᮸⋙ୃ㧘ࠕࠗࡦࠪࡘ࠲ࠗࡦㆬ㓸㧝㧘౒┙಴
(1982)㧚
[2] Prandtl, L., Verh. ΥInt. Math. Kongr.,
Heiderberg, 1904, (1905) 484.
[3] ⼱৻㇢✬㧘ᵹ૕ജቇߩㅴᱠ Ⴚ⇇ጀ㧘ਣༀ
(1984)㧚
[4] ᣣ㊁ᐙ㓶㧘ᵹ૕ജቇ㧘ᦺୖᦠᐫ (1992)㧚
[5] Kays, W. M. and Crawford, M. E., Convective
Heat and Mass Transfer, McGraw-Hill (1993) 90.
[6] Meksyn, D., New Methods in Laminar
Boundary-Layer Theory, Pergamon Press (1961)
78.
[7] Van Dyke, M., Perturbation Methods in Fluid
Mechanics, Academic Press (1964).

ߣߥࠆ[4]㧚
⸃ߩ♖ᐲߩะ਄ߪ Howarth[8]ߦࠃߞߡⴕࠊࠇߡ
߅ࠅ㧘 f , f c, f cc ߇ K ߩ㑐ᢙߣߒߡ␜ߐࠇߡ޿ࠆ[4]㧚
ߎࠇࠄ߆ࠄᵹㅦ u 㧘 v 㧘ฦ⒳Ⴚ⇇ጀෘߐ㧘ო㕙ߖࠎᢿᔕജ╬ࠍ᳞߼ࠆߎߣ߇ߢ߈ࠆ㧚⚳ࠅߦ
ࡊ࡜ࡦ࠻࡞ߦࠃߞߡឭ᩺ߐࠇߚႺ⇇ጀℂ⺰ߪ⥶ⓨᯏߩ⊒㆐ߣߣ߽ߦታ↪਄ߩᄙߊߩ໧㗴ߦㆡ↪ߐࠇ㧘ᄙߊߩᚑᨐࠍ᜼ߍߡ߈ߚ㧚ߘߩኻ⽎߽ጀᵹႺ⇇ጀߛߌߢߪߥߊੂᵹႺ⇇ጀ [9]㧘ߐࠄߦߪൻቇ
෻ᔕࠍ฽߻ᵹࠇ[10]ߦ߹ߢ᜛ᒛߐࠇߡ޿ࠆ㧚⪺⠪߇ഥᚻ߿ഥᢎ᝼ߢ޽ߞߚᤨઍߪ㧘⃻࿷߶ߤ⸘▚ᯏߩᕈ⢻߇ఝࠇߡ߅ࠄߕ㧘⸘▚ㅦᐲ߿⸥ᙘኈ㊂ߦ೙㒢߇޽ߞߚߚ߼㧘Ⴚ⇇ጀㄭૃࠍᣉߒߚၮ␆ᣇ⒟ᑼ
ࠍ↪޿ߡΆ὾႐╬ߩ⸘▚ࠍⴕߞߚ߽ߩߢ޽ࠆ㧚ߘߩᗧ๧ߢߪႺ⇇ጀℂ⺰ߦߪᄢᄌ߅਎⹤ߦߥߞߚ㧚 Annual Review of Fluid Dynamics ߦߪႺ⇇ጀℂ

વᾲ 2004 ᐕ 1 ᦬[8] Howarth, L., Proc. Roy. Soc. London A, 164(1938) 547.
[9] Schlichting, H. and Gersten, K., Boundary-Layer
Theory, Springer (2000).
[10] Hartnett, J. P. and Irvine, T. F. (Ed.), Advances in
Heat Transfer, 2, Academic Press (1965) 109.
[11] Annual Review of Fluid Dynamics, 33 (2001)
682.
[12] ኹᴛኡ৻✬㧘⥄ὼ⑼ቇ⠪ߩߚ߼ߩᢙቇ᭎⺰ᔕ↪✬㧘ጤᵄᦠᐫ (1969) 236㧚- 14 -

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻޽ࠆⷺᐲ߆ࠄߪߣߎߣࠎૃߡ޿ߡ㧘޽ࠆⷺᐲ߆ࠄߪૃߡ㕖ߥࠆ⃿ߣ౞ᩇ
Sphere and Cylinder Which Are Thoroughly Similar from Some Angles,
But Are Falsely Similar from Other Anglesศ↰ ⧷↢㧔੩ㇺᄢቇ㧕
Hideo YOSHIDA (Kyoto University)ߪߓ߼ߦ⃿޽ࠆ޿ߪ౞ᩇ޽ࠅ߈ ‫ޡ‬౞ᩇ‫ߦ࡞࠻ࠗ࠲߇⺆߁޿ߣޢ‬฽߹ࠇࠆᢙዋߥ
޿ᦠߩ৻ߟ‫ߪߩ߽߈↢ޡ‬౞ᩇᒻ‫ޢ‬㧔ᧄᎹ㆐㓶⪺㧕[1]ߦࠃࠇ߫㧘↢߈߽ߩߪᄙ⒳ᄙ᭽ߢ޽ࠆ߇㧘ߘߩᒻࠍ৻⸒ߢ޿߁ߣ೨⸥࠲ࠗ࠻࡞ߩࠃ߁ߢ޽ࠆߣ޿߁㧚ߘߩ౞ᩇᒻߪ⃿ᒻ߆ࠄㅴൻߒߚ㧚ߔߥࠊߜ㧘‫↢ޡ‬๮ߩㅴൻߩㆊ⒟ߦ߅޿ߡߪ㧘߹ߕ૕߇⚦⢩㧝୘ߛߌ߆ࠄߢ߈ߡ޿ࠆዊߐߥන⚦⢩↢‛߇಴⃻ߒ‫ߪߚޢ‬ߕߢ㧘ߘߩ⚦⢩⤑ߪᴤߩ⤑ߛ߆ࠄ‫⴫ޡ‬㕙ᒛജߦࠃߞߡ⴫㕙Ⓧ߇߽ߞߣ߽ዊߐ޿ᒻߢ޽ࠆ⃿ߦߥߞߚߣᕁࠊࠇ‫ࠆޢ‬㧚ߒ߆ߒ㧘↢‛ߦߣߞߡᱫᵴ໧㗴ߣ޿߁ߴ߈⴫㕙Ⓧࠍ⏕଻ߒߟߟ㧘ᒝᐲ⊛ߦ߽ਂᄦߥ
᭴ㅧߣߥࠆߣ㧘⥄ߕߣ౞ᩇᒻߦ⊒ዷߒߚߣ޿߁㧚 ߎߩࠃ߁ߦ↢߈߽ߩߦߣߞߡᩮర⊛ߣ߽޿߁ߴ
߈ᒻ⁁ߢ޽ࠆ⃿ߣ౞ᩇߪ㧘↢߈߽ߩએᄖߩ⥄ὼ⃻⽎ߦ߅޿ߡ߽㧘ੱᎿ‛ߩ᭴ᚑⷐ⚛ߣߒߡ߽㧘ᦨ߽㊀ⷐߥᒻ⁁ߢ޽ࠆߣ⸒߃ࠆߛࠈ߁㧚࿾⃿ࠍೋ߼ߣߔࠆᤊ㧘࿕૕☸ሶ㧘ᶧṢ㧘᳇ᵃ㧘✢㧘▤ߥߤ㧘ਛታߣਛⓨ૗ࠇߩ႐ว߽޽ࠅ㧘ߐࠄߦౕ૕⊛ߦ⠨߃ࠆߥࠄᨎ᜼ߦ޿ߣ߹߇ߥ޿㧚 ࠊࠇࠊࠇࠍขࠅᏎߊ਎⇇߇⃿ߣ౞ᩇߢḩߜḩߜߡ޿ࠆߣ޿߁ߎߣߪ㧘વᾲቇ޽ࠆ޿ߪᾲᵹ૕ജቇ
ߩኻ⽎ߣߒߡ߽㧘⃿ߣ౞ᩇߪᭂ߼ߡ㊀ⷐߣ޿߁ߎ
ߣߦߟߥ߇ࠆ㧚ታ㓙ߦ㧘ਔ⠪ߪߘߩࠃ߁ߥቇ໧⊛ᛒ޿ࠍฃߌߡ߈ߚ㧚ߚߛߒ㧘╩⠪߇ኤߔࠆߣߎࠈ㧘৻⥸ߦߪ㧘ਔ⠪ߪ⾰⊛ߦߪ߶ߣࠎߤหߓߢ㧘㊂⊛ߦߩߺ⧯ᐓ⇣ߥࠆߩߛࠈ߁ߣ⹺⼂ߐࠇߡ޿ࠆߩߢ
ߪߥ޿ߛࠈ߁߆㧚⏕߆ߦ৻⷗ߔࠆߣ㧘ਔ⠪ߪ㕖Ᏹߦૃߡ޿ࠆ߇㧘ࠃߊࠃߊ⠨߃ߡߺࠆߣᧄ⾰⊛ߥᏅ⇣߽޽ࠅߘ߁ߢ޽ࠆ㧚ߜࠂ߁ߤ㧘⃿ߣ౞ᩇߣࠍਗ
ߴߡࠪ࡞ࠛ࠶࠻ࠍᤋߒ಴ߒߚߣ߈㧘޽ࠆⷺᐲ߆ࠄ
ߪ౒ߦ౞ᒻߢ⷗ಽߌ߇ߟ߆ߥ޿߇㧘޽ࠆⷺᐲ߆ࠄ
ߪ౞ᒻߣᏪ⁁ߢૃߡ߽ૃߟ߆ߧߣ޿߁ࠃ߁ߦ㧚ߘߎߢ㧘ᧄⓂߢߪ㧘⃿ߣ౞ᩇߦ㑐ߔࠆ੐㗄ࠍ♽⛔⊛ߦኻᲧߒߡߺߡ㧘ߣߎߣࠎૃߡ޿ࠆ႐วߣ㧘ૃߡ㕖ߥࠆ႐วߣࠍ㧘ᢛℂߒߡߺߚ޿㧚

2. ᧄᢥߦవߛߞߡ
 ᧄⓂߢߪ㧘⃿ߣ౞ᩇߣࠍᏱߦኻߦߒߡ⼏⺰ߒߡ޿ߊ㧚ߚߛߒ㧘ౝኈߩᕈᩰߦࠃߞߡ㧘⃿ߣ౞ᩇߩ⊓႐㗅ᐨ߇ᄌࠊࠆߎߣ߇޽ࠆ㧚߹ߚ㧘⸥ภߪߢ߈
ࠆߛߌ⛔৻ߔࠆࠃ߁ߦߒߚ߇㧘࿑ߪ⒳‫ߩޘ‬ෳ⠨ᢥ
₂߆ࠄߩォタߢ޽ࠆߩߢ㧘หߓᄌᢙ⸥ภ߇⇣ߥࠆᗧ๧ߢ↪޿ࠄࠇࠆߎߣ߇޽ࠆ㧚ߘߩࠃ߁ߥ႐วߪ㧘ዪᚲ⊛ߦቯ⟵ߒߥ߅ߒߚ㧚 ᗐ௝ߔࠆߦ㧘⃿ߣ౞ᩇߩࠃ߁ߥ⚛ᧉߥ㧫⹤㗴ߪ㧘ᧄ⹹ߢ੹ᓟ߽Ṍᄙߦขࠅ਄ߍࠄࠇࠆߎߣ߇ߥ޿ߛ
ࠈ߁㧚ߘߎߢ㧘⃿ߣ౞ᩇߣߩኻᲧߣ޿߁ᧄ᧪ߩ⋡⊛߆ࠄߪㅺࠇࠆ߇㧘୘‫⥝ߦޘ‬๧ᷓ޿ߣᕁࠊࠇࠆ⹤
㗴ࠍ㧘ߎߩᯏળࠍ೑↪ߒߡ 8 ࡐࠗࡦ࠻ߩዊߐ޿ᢥ
ሼߢᧄᢥਛߦᝌ౉ߐߖߡ޿ߚߛ޿ߚ㧚 ᧄⓂߢߪ⹤㗴߇ᄙጘߦࠊߚࠆߩߢ㧘ᦨೋߦ᭴ᚑ
ࠍ⺑᣿ߒߡ߅߈ߚ޿㧚એਅߩᨒౝߦ⷗಴ߒࠍ߹ߣ
߼ߚ㧚㧝㧚߹ߕᵹࠇ႐߆ࠄ౉ࠅ㧘᷷ᐲ႐ߦㅴ߻㧚㧞㧚ᵹࠇ႐ߢߪ㧘Re ᢙ߇Ⴧᄢߒߚᭂ㒢ߣ⠨߃ࠄࠇࠆ㕖☼ᕈᵹࠇ㧩ࡐ࠹ࡦࠪࡖ࡞ᵹ㧔Euler ᣇ⒟ᑼ㧕߆ࠄ಴⊒ߒߡ㧘☼ᕈᵹ㧔Navier-Stokes ᣇ⒟ᑼ㧕߳ߣ⼏⺰ࠍㅴ߼㧘ᦨᓟߪ Re ᢙ߇ 1 ઃㄭߩㆃ޿ᵹࠇࠍᛒ߁㧚㧟㧚᷷ᐲ႐ߢߪ㧘⋥೨ߩㆃ޿ᵹࠇߩ⋧ᣇߣߒߡ㧘߹ߕቯᏱᾲવዉ߆ࠄ౉ࠆ㧚ߘߩᓟߪ 3.2 ߦኻߒߡ 4.2㧘3.3 ߦኻߒߡ 4.3 ߇޽ࠆ㧚 -  -3. ᵹࠇ႐
3.1 㕖☼ᕈᵹࠇ
3.2 ☼ᕈ߇޽ࠆ႐วߩࠃߤߺὐㄭறߩᵹࠇ
3.3 ☼ᕈ߇޽ࠆ႐วߩో૕ߩᵹࠇ
3.4 ㆃ޿ᵹࠇ
4. ᷷ᐲ႐
4.1 ቯᏱᾲવዉ
4.2 ᒝ೙ኻᵹߢߩࠃߤߺὐㄭறߩᾲવ㆐
4.3 ᒝ೙ኻᵹߢߩో૕ߩᾲવ㆐

Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻

3. ᵹࠇ႐[2-11]
3.1 㕖☼ᕈᵹࠇ [4-8, 10, 11] ㅦᐲ U f ߩ৻᭽ᵹߦ߅߆ࠇߚඨᓘ R ߩ౞ᩇ߹ࠊ
ࠅߩᵹࠇߩⶄ⚛ㅦᐲࡐ࠹ࡦࠪࡖ࡞ f ߪㅦᐲࡐ࠹ࡦࠪࡖ࡞)ߣᵹࠇ㑐ᢙ<ࠍ↪޿ߡᰴᑼߩࠃ߁ߦߥࠆ㧚 ╩⠪ߩ๟࿐ߩቇ↢ߦߣ߈ߤ߈዆ߨߡߺߡታᗵߒߡ޿ࠆߎߣ
ߣߒߡ㧘ઃട⾰㊂ߦ㑐ߒߡ⹺⼂ߒߡ޿ࠆੱߪᄙߊߥ޿㧚ߒ߆ߒᭂ߼ߡりㄭߥ໧㗴ߣߒߡ㧘᳓ᵒߩജቇ㧔⣨㧘⿷㧘߅ࠃ߮り૕ో૕ߩ㕖ቯᏱㆇേ㧕ࠍ⠨߃ࠆ਄ߢ㧘ઃട⾰㊂ߪᔓࠇߡߪߥ
ࠄߥ޿㊀ⷐߥ࿃ሶߢ޽ࠆ㧚ߎߩಽ㊁ߢᔀᐩߒߚᢥ₂⺞ᩏࠍⴕߞߚࠊߌߢߪߥ޿߇㧘⃻ᤨὐߢ౉ᚻߒߚᖱႎߩਛߢ᳓ᵒߩജቇߦߟ޿ߡീᒝߔࠆᚻ߇߆ࠅߦߥࠆ⺰ᢥߣߒߡ㧘ᢥ₂[13-17]f z

ĭ  iȌ

§R2 ·U f ¨¨1  2 ¸¸ zz ¹©

ߥߤࠍ⚫੺ߔࠆ㧚(1)

3.2 ☼ᕈ߇޽ࠆ႐วߩࠃߤߺὐㄭறߩᵹࠇ
[2, 4, 6]

 ৻ᣇ㧘ㅦᐲ U f ߩ৻᭽ᵹߦ߅߆ࠇߚඨᓘ R ߩ⃿߹ࠊࠅߩㅦᐲࡐ࠹ࡦࠪࡖ࡞)ߣ Stokes ߩᵹࠇ㑐ᢙ<㧔ゲኻ⒓ߩ႐วߩᵹࠇ㑐ᢙߦߪ “Stokes ߩ”ߣ޿߁ធ㗡⺆߇ઃߊ߇㧘એᓟߪ⋭⇛ߔࠆ㧕ߪĭ

§ 1 R3 ·U f ¨¨1 ¸r cos T
2 r 3 ¸¹
©

(2)

Ȍ

§
1
R3 ·
U f ¨¨1  3 ¸¸r 2 sin 2 T
2 ©
r ¹

(3)

 ৻᭽ᵹ߇౞ᩇ޽ࠆ޿ߪ⃿ߦ߱ߟ߆ߞߡಽጘߔࠆ
೨ᣇࠃߤߺὐㄭறߩᵹࠇߪ㧘ታ㓙ߩᎿቇ⊛ᔕ↪ࠍ⠨߃ࠆ਄ߢ㊀ⷐߢ޽ࠆ㧚 ߹ߕ Fig. 1 ߦ␜ߔ㧞ᰴర㧔౞ᩇ㧕ߩࠃߤߺὐㄭ
றߩਥᵹߣㅦᐲႺ⇇ጀߦߟ޿ߡ⠨߃ߡߺࠃ߁㧚ߣߥࠆ㧚 ⴫㕙ߦᴪ߁ㅦᐲ U ߩ⛘ኻ୯ࠍ㧘೨ᣇࠃߤߺὐ߆
ࠄߩ〒㔌 x㧔=RT㧕ߢ⴫ߔߣ㧘౞ᩇ㧦
U

2U f sin Tx§x·
2U f sin ¨ ¸ | 2U f
R
©R¹

U

3
U f sin T
2

x
3
§x· 3
U f sin ¨ ¸ | U f
R
2
©R¹ 2

Fig. 1(4)⃿㧦 㧞ᰴరߩ႐วߩਥᵹߪ㧘ਛᔃ✢ࠃࠅ ஥ߛߌߦ⌕⋡ߔࠆߣ㧘90 ᐲߩⷺࠍᦛ߇ࠆᵹࠇߣหߓߛ߆ࠄ㧘a ࠍᱜߩቯᢙߣߒߡ㧘ㅦᐲࡐ࠹ࡦࠪࡖ࡞ߪ

(5)ߣߥࠆ㧚౞ᩇߩᣇ߇⃿ࠃࠅ߽ടㅦߩᐲว޿߇ᄢ߈
޿ߩߪ㧘޿߁߹ߢ߽ߥߊ㧘౞ᩇߢߪ㧞ᰴర⊛ߦߒ߆ᵹࠇ߇࿁ࠅㄟ߼ߥ޿ߩߦኻߒ㧘⃿ߢߪ㧟ᰴర⊛ߦ࿁ࠅㄟ߼ࠆ߆ࠄߢ޽ࠆ㧚 ਄⸥ߩ㕖☼ᕈᵹࠇߢߪ㧘౞ᩇ㧘⃿ߣ߽㧘ᵹࠇߪ
೨ᓟߢኻ⒓ߦߥࠆߚ߼࿶ജᛶ᛫߽ߥ޿߇㧘㕖ቯᏱㆇേࠍߔࠆ႐วߦߪ㧘๟࿐ߩᶧ૕ࠍ᛼ߒߩߌࠆߎ
ߣߦኻᔕߔࠆઃട⾰㊂㧔added mass㧕޽ࠆ޿ߪ઒
ᗐ⾰㊂㧔virtual mass㧕㧔Hinze [12]ߪ virtual, “added”
mass ߣৼካߦ⴫⃻ߒߡ޿ࠆ㧕ߩᛶ᛫߇૞↪ߔࠆ㧚න૏㐳ߐᒰߚࠅߩ౞ᩇߣ⃿ߩ૕Ⓧࠍ㧘ߣ߽ߦ Volߣߒ㧘๟࿐ᵹ૕ߩኒᐲࠍUߣߔࠆߣ㧘ઃട⾰㊂ߪએਅߩࠃ߁ߦߥࠆ㧚౞ᩇ㧦

Sa 2 UVol  U

(6)

⃿㧦

2 3
Sa U
3

1
Vol  U2

(7)

વᾲ 2004 ᐕ 1 ᦬

Stagnation-point flow and boundary layer [2]ĭa 2
r cos 2T2

a 2
r cos 2 T  sin 2 T2a 2x  y22(8)
r sin T 㧕㧘ߩࠃ߁ߦ⴫ߐࠇ㧔ߎߎߢ x r cos T , ywĭwĭax (9) , V
U
ay
wy
wx

(10)

ߣߥࠆ㧚ᑼ(9)ߦ␜ߐࠇࠆࠃߤߺὐ߆ࠄߩ✢ᒻ⊛ߥടㅦߪ㧘ᑼ(4)ߢᣢߦࠊ߆ߞߡ޿ߚߎߣߢ޽ࠅ㧘ᑼ(9)ฝㄝߩቯᢙ a ࠍടㅦ₸ߣ๭߱ߎߣߦߔࠆ㧚ᑼ(10)߆ࠄࠊ߆ࠆࠃ߁ߦ㧘ߎߩ୯ߪ਄ᵹ߆ࠄࠃߤߺ
ὐߦะߌߡߩᷫㅦ₸ߢ߽޽ࠅ㧘ߘߩᗧ๧ߢ㧘ࠃߤߺὐߩ೨ᓟߢᵹࠇߪኻ⒓⊛ߢ޽ࠆ㧚ടㅦ₸ a ࠍ౞ᩇߩ႐วߣ⚿߮ߟߌࠆߣએਅߩࠃ߁ߦߥࠆ㧚
2U f
(11)
R
 ߎߎߢ㧘ടㅦ₸ߦߟ޿ߡ㧘ߐࠄߦ⠨߃ߡߺࠃ߁㧚
Fig. 1 ߦ␜ߔ㧞ᰴర⋥ⷺᐳᮡߦኻߔࠆࠃߤߺὐᵹ
a- 16 -

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ࠇߢߪ㧘ή㒢᏷ߩᐔ᧼ߦή㒢᏷ߩᵹ૕߇ⴣ⓭ߔࠆ㧚ߒߚ߇ߞߡ㧘ᵹ૕ߩㅦᐲߩ⛘ኻ୯ߪ㧘ή㒢਄ᵹ߅ࠃ߮ή㒢ਅᵹߢ߿ߪࠅή㒢ߣߥࠅ㧘ઍ⴫㐳ߐ߽ઍ⴫ㅦᐲ߽ⷙቯߢ߈ߥ޿㧚ߘߩ߆ࠊࠅ㧘ࠃߤߺὐ߆
ࠄߩടㅦ₸ a ߇ઍ⴫ㅦᐲߣઍ⴫㐳ߐߩᲧߣߒߡ႐
ࠍઍ⴫ߔࠆ୯ߣߥࠆ㧚৻ᣇ㧘౞ᩇߩ႐วߪ㧘ή㒢ᵹ૕ਛߦ᦭㒢ኸᴺߩ౞ᩇ߇⟎߆ࠇࠆߚ߼ߦ㧘ᑼ(11)ߩࠃ߁ߦ㧘Ⴚ⇇ጀᄖ஥ߩࡐ࠹ࡦࠪࡖ࡞ᵹߩട
ㅦ₸߇৻᭽ᵹߩㅦᐲߣ౞ᩇඨᓘߢ᳿ቯߐࠇߚ㧚 ࠃߤߺὐㄭறߩႺ⇇ጀߢߪ㧘ਅᵹᣇะ߳ߩ⊒㆐ߣਥᵹߩ✢ᒻ⊛ߥടㅦ߇⋧Ვߔࠆ⚿ᨐ㧘Fig. 1 ߦὐ✢ߢ␜ߐࠇࠆࠃ߁ߦෘߐ߇৻ቯߦߥࠆߎߣ߇⍮ࠄࠇߡ޿ࠆ㧚߹ߚ㧘ࠃߤߺὐᵹࠇߪ㧘ᬥᒻ‛૕ߦࠃࠅ㧘ਥᵹ߇
U v xm(12)
ߣടㅦߐࠇࠆᐔ᧼Ⴚ⇇ጀ㧔޿ࠊࠁࠆ Falkner-Skan
ᣇ⒟ᑼ㧕ߢ㧘m = 1 ߩ႐วߣߒߡ߽ขࠅᛒ߁ߎߣ߇ߢ߈ࠆ㧚 ᰴߦ㧘Fig. 1 ࠍゲኻ⒓㧔⃿㧕ߩࠃߤߺὐㄭறߣ
ߺߥߒߡ⠨߃ߡߺࠃ߁㧚⃿ߩࠃߤߺὐ߹ࠊࠅߩᑼ
(5)߆ࠄ㧘ゲኻ⒓ߢ߽ਥᵹߪ৻ቯߩടㅦࠍߔࠆߎߣ
߇⏕⹺ߢ߈ࠆ㧚ߘߎߢ㧘ਥᵹㅦᐲ U ax ࠍㅪ⛯ߩᑼ㧔ᐔ᧼ߦᴪ߁ᣇะࠍ x㧘ု⋥ᣇะࠍ y ߣߔࠆ㧕
1 w
w
(13)
xU 
V
0
x wx
wy
ߦઍ౉ߔࠆߣ㧘ᐔ᧼ߦု⋥ᣇะߩਥᵹㅦᐲ V ߪV 2ay(14)ߣߥࠆ㧚㧔೎ߩᣇᴺߣߒߡ㧘⃿߹ࠊࠅߩㅦᐲࡐ࠹ࡦ
ࠪࡖ࡞ߩᑼ(2)ࠍ r ߢᓸಽߒߡ߽╬ଔߥ⚿ᨐߪᓧࠄࠇࠆߒ㧘ᢥ₂[5] p. 353 ߦ޽ࠆࠃ߁ߦᵹࠇ㑐ᢙU f 㧕ߦၮߠߊ Re ᢙߢ޽ࠆ㧚౞ᩇ߽⃿߽ Re ᢙ߇ዊߐ޿ 1 ㄭறߢ Re ᢙߦㅒᲧ଀ߒߡ CD ߇ᷫዋߔࠆ
ߎߣ㧘ߐࠄߦ Re ᢙ߇Ⴧടߔࠆߣ߶߷৻ቯ୯ࠍߣ
ࠆ߇㧘Re ᢙ߇ 105㨪106 ߩ㑆ߢᕆᄌߔࠆߎߣ㧘૗ࠇߩὐߢ߽ᭂ߼ߡૃߚ․ᕈߢ޽ࠆߎߣ߇ࠊ߆ࠆ㧚 Re ᢙ߇㜞޿㗔ၞߦ߅ߌࠆᛶ᛫ଥᢙߩⶄ㔀ߥᄌൻߪ㧘⃿޽ࠆ޿ߪ౞ᩇ߹ࠊࠅߩㅦᐲ߇ᷫㅦߔࠆߎ
ߣߦ઻߁ㅒ࿶ജߎ߁㈩ߦࠃࠅ㧘೨ᣇࠃߤߺὐ߆ࠄ
⊒㆐ߒߡ߈ߚႺ⇇ጀ߇ߪߊ㔌ߔࠆߎߣߦ⿠࿃ߔࠆ㧚ߘߒߡ㧘ᛶ᛫ଥᢙߩᕆᷫߔࠆ㗔ၞߪ㧘ጀᵹႺ⇇ጀ߇ੂᵹႺ⇇ጀߦㆫ⒖ߔࠆߚ߼ߦ㧘ੂᵹߩᒝ޿ᷙว
૞↪ߢߪߊ㔌ߒߦߊߊߥࠆ㧔ߪߊ㔌ὐ߇ᓟᣇߦ⒖േߔࠆ㧕ߎߣߦࠃߞߡ޿ࠆ㧚 ߎߩࠃ߁ߥ⃿ߣ౞ᩇ߇߹ߣ߽ߦ߱ߟ߆ࠅ޽߁ߩ߇㊁⃿ߢ޽ࠆ㧚⎬ᑼ㊁⃿ߩࡏ࡯࡞ߪ㧘ⷙೣߦࠃࠅ⋥ᓘ 74 mm㧔㊀ߐ 145 g㧕೨ᓟߢ㧘ᛩᚻߩᛩߍࠆㅦᐲߪᤨㅦ 150 km㧔42 m/s㧕⒟ᐲ㧘ߒߚ߇ߞߡࡏ࡯࡞߹ࠊࠅߩ Re = 1.9 x 105㧚৻ᣇ㧘ࡃ࠶࠻ߩ৻⇟ᄥ޿ㇱಽߪ⋥ᓘ 65 mm ೨ᓟߢ㧘ࠬࠗࡦࠣߩㅦᐲߪᤨㅦ 110 km㧔31
m/s㧕⒟ᐲ㧘ߒߚ߇ߞߡ Re = 1.3 x 105㧚ࡏ࡯࡞߽ࡃ࠶࠻߽㧘ߘࠇߙࠇ Fig. 2 ߣ Fig. 3 ߢᛶ᛫ଥᢙ߇ᕆᄌߔࠆ Re ᢙࠃࠅ⧯ᐓዊ
ߐ߼ߢ޽ࠆ㧚ࡏ࡯࡞ߩ႐วߦߪ㧘❔޿⋡߇޽ߞߡੂᵹ߳ߩㆫ
⒖ࠍଦㅴߔࠆ௑ะ߇޽ࠆߎߣ߿㧘࿁ォߦࠃࠆലᨐ߽㊀⇥ߔࠆߎߣ߽⠨ᘦߔࠇ߫㧘ᛶ᛫ߩỗᄌ㗔ၞߦ߆߆ࠆ㧚 1987-89 ᐕߦ The National League's Official Physicist ߢ߽޽ߞ
ߚ Yale ᄢቇ‛ℂቇ⑼ߩ Robert Adair ᢎ᝼߇⪺ߒߚ The Physics
of Baseball [19]ߪ㧘㊁⃿ࡈࠔࡦߢߥߊߡ߽⥝๧ߩߟ߈ߥ޿ᦠߢ
޽ࠆ㧚㧔http://www.yaledailynews.com/article.asp?AID=2386㧕
 ߎߩᦠߦೝỗߐࠇߡࠗࡦ࠲࡯ࡀ࠶࠻ߢࡉ࡜࠙࠭ߔࠆ߁ߜߦ
Washington ᄢቇ‛ℂቇ⑼ߩ Jeffrey Wilkes ᢎ᝼ߩਅߦ޽ࠆ
http://www.phys.washington.edu/~wilkes/post/temp/phys208/index.
html㧘߅ࠃ߮㧘ߎߩࡎ࡯ࡓࡍ࡯ࠫࠍㅢߓߡⴕ߈ᒰߚߞߚ The
NASA Glenn Research Center ߩ Learning Technologies Project
http://www.grc.nasa.gov/WWW/K-12/freesoftware_page.htm ߢߪ㧘Baseball Applet㧔Fig. 4㧕ߣ޿߁࠰ࡈ࠻ࠍ࠳࠙ࡦࡠ࡯࠼ߒߡࠞ࡯

Ȍ

2

ax y

(15)

ࡉࡏ࡯࡞ߩࠪࡒࡘ࡟࡯࡚ࠪࡦࠍߔࠆߎߣ߽ߢ߈ࠆ㧚ߎߩ࠰ࡈ࠻ߦ㒢ࠄߕ㧘The NASA Glenn Research Center ߩࡎ࡯ࡓࡍ࡯ࠫ

ࠍᦨೋ߆ࠄዉ౉ߒߡ߽ࠃ޿㧚㧕ߔߥࠊߜ㧘ࠃߤߺὐߦធㄭߔࠆਥᵹ߽✢ᒻ⊛ߦᷫㅦߔࠆὐߪ㧞ᰴరߩ႐วߣห᭽ߢ޽ࠆ߇㧘ᷫㅦ₸ࠍၮḰߣߔࠆߣ㧘ടㅦ₸ߩᄢ߈ߐߪඨಽߦߥࠆ㧚ߎߩߎߣߪ㧘ᐔ᧼ߦⴣ⓭ߒߚᵹࠇ߇ో๟ᣇะߦ࿁ࠅㄟ߻ߎߣߦኻᔕߒ
ߡ޿ࠆ㧚ߥ߅ゲኻ⒓ߩ႐ว߽㧘Ⴚ⇇ጀෘߐ߇৻ቯ
ߢ޽ࠆߎߣ߇⍮ࠄࠇߡ޿ࠆ㧚ߪᢎ⢒ߩ㕙߆ࠄ߽㕖Ᏹߦࠃߊߢ߈ߡ޿ߡ㧘ߤߥߚ߽ߘߩ਎⇇ߩਛߦߤࠎߤࠎᒁ߈ㄟ߹ࠇߡ޿ߊߩߢߪߥ޿߆ߣᕁ߁㧚

3.3 ☼ᕈ߇޽ࠆ႐วߩో૕ߩᵹࠇ [2-4,6-9,11,18]
 ታ㓙ߩ⃿ߣ౞ᩇߩ߹ࠊࠅߩో૕ߩᵹࠇߦߟ޿ߡ
⠨߃ߡߺࠃ߁㧚ᛶ᛫ଥᢙ CD ࠍ Fig. 2 ߣ Fig. 3 ߦ␜ߔ㧚ᮮゲߪ⋥ᓘ d (= 2R)ߣ৻᭽ᵹߩㅦᐲ V㧔೨಴ߩ                   Fig. 4

 - 17 -  Baseball applet by the NASA Glenn research center    Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻

Fig. 2

Dependence of the drag coefficient of spheres on the Reynolds number [2]Fig. 3

Dependence of the drag coefficient of cylinders on the Reynolds number [2]౞ᩇ߆ࠄߪߊ㔌ߒߚᵹࠇߢߪ㧘 Kármán ᷵ߣ๭߫ࠇࠆ᷵߇੤੕ߦ↢ᚑߐࠇࠆߎߣߪ㧘޿߁߹ߢ߽
ߥ޿ߢ޽ࠈ߁㧚⚐☴ߥ Kármán ᷵ߪ 80 < Re < 300⒟ᐲߢ⷗ࠄࠇ㧘ߐࠄߦ Re ~ 105 ㄝࠅ߹ߢߪ㧘᣿⏕ߥⷙೣᕈߪ߿߿ᄬࠊࠇߟߟ߽৻ቯߩ๟ᵄᢙߢߩ᷵
↢ᚑ߇ᜬ⛯ߔࠆ㧚᷵ߦߟ޿ߡߪ㧘⋡ߦ⸅ࠇࠆᯏળ߇߶ߣࠎߤߥ޿ߣ
ᕁ߁㧚ߘ߁޿߁╩⠪߽੹࿁ߩၫ╩ߦ㓙ߒߡෳ⠨ᢥ
₂[22-24]ࠍ⌀೶ߦតߔ߹ߢ㧘⷗ߚߎߣ߇ߥ߆ߞߚ㧚
Fig. 5 ߦ㧘౉ᚻߒߚ▸࿐ߢߪᲧセ⊛ᣂߒߊ᣿⏕ߣᕁࠊࠇࠆนⷞൻ↹௝ࠍ⚫੺ߔࠆ㧚⸒⪲ߢ⴫⃻ߔࠆߩߪ㔍ߒ޿߇㧘Re ᢙߩჇടߦ઻޿㧘ⲷᣓ⊛ߥ᜼േ
߆ࠄ․ቯᣇะߩ᷵߇↢ᚑߐࠇ㧘ߘࠇࠄ߇ߐࠄߦⲷ
ᣓ⊛ߥਇ቟ቯߦ⒖ⴕߒߡ޿ߊߣ⸒߃ࠃ߁߆㧚 ౞ᩇߣ⃿ߩਅᵹߢߩ᷵ߩ⊒㆐ߦߪ㧘ᧄ⾰⊛ߥ⋧㆑߇޽ࠆ㧚Navier-Stokes ᣇ⒟ᑼࠍࡌࠢ࠻࡞⴫␜ߒ㧘ߘߩ࿁ォࠍขࠆߣ㧘ᰴᑼߩࠃ߁ߥ᷵ᐲᣇ⒟ᑼ߇ᓧࠄࠇࠆ㧚 Kármán ⥄り߇ㅀᙬߔࠆࠃ߁ߦ㧘‫ߪ⑳ߒ߆ߒޡ‬㧘ߎߩ᷵ࠍ⊒⷗
ߒߚߩ߇⑳ߢ޽ࠆߣߪਥᒛߒ߹ߖࠎ㧚ߘࠇߪ㧘⑳ߩ↢ࠇࠆߕߞߣ೨߆ࠄ⍮ࠄࠇߡ޿ߚߩߢߔ㧚⑳߇ߎߩ᷵ࠍ⷗ߚ৻⇟ฎ޿⛗ߪ㧘ࠗ࠲࡝ࠕߩࡏࡠ࡯࠾ࡖߩᢎળߦ޽ࠆ߽ߩߢ㧘࠮ࡦ࠻࡮ࠢ࡝ࠬ࠻ࡈࠔ߇ᐜ޿ࠠ࡝ࠬ࠻ࠍᛴ޿ߡ㧘ᵹࠇࠍᷰߞߡ޿ࠆߣ
ߎࠈߥߩߢߔ߇㧘⡛ᓤߩ⵻ߩ⿷ߩ߁ߒࠈߦ㧘ੑ೉ߩ੤ઍߩ᷵
߇ឬ߆ࠇߡ޿߹ߒߚ㧚‫[ޢ‬20]㧔ᦨㄭ㧘ߎߩ⛗ߪ⑔ጟᎿᬺᄢቇߩ

ww
 v wwt

Ḵ↰ᱞੱ᳁ߦࠃࠅ⊒⷗ߐࠇ㧘ᣣᧄᵹ૕ജቇળߩળ⹹‫ޢࠇ߇ߥޡ‬߿ Nature ߦ߽⚫੺ߐࠇߚ[21]㧚㧕

w   v  Q 2 w (16)ߎߎߢ㧘 v ߪㅦᐲࡌࠢ࠻࡞㧘 w ߪ᷵ᐲࡌࠢ࠻࡞ߢ ౞ᩇߩਅᵹߦ↢ᚑߐࠇࠆ Kármán ᷵߇޽߹ࠅߦ
߽᦭ฬߥߎߣߦᲧߴࠆߣ㧘⃿ߩਅᵹߦ↢ᚑߐࠇࠆવᾲ 2004 ᐕ 1 ᦬޽ࠅ㧘ฝㄝ╙㧝㗄ߪ᷵ᐲߩિᒛߦ㑐ଥߔࠆߩߢ᷵

- 18 -

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻㧔ੂᵹ㧕ࠍ⠨߃ࠆߣ߈ߦߪ㧘৻⇟ᄢ੐ߥ㗄ߩ৻ߟߣ޿ߞߡ߽ㆊ⸒ߢߪߥ޿㧚᷵ߪિ߮ࠆߣᢿ㕙Ⓧ߇
ᷫዋߒߡᒝߊߥࠅ㧘❗߻ߣᢿ㕙Ⓧ߇Ⴧടߒߡᒙߊ
ߥࠆߎߣߦኻᔕߒߡ޿ࠆߚ߼ߢ޽ࠆ㧚㧔ࡈࠖࠡࡘࠕࠬࠤ࡯࠻ߢߩ࿁ォߩടㅦߣᷫㅦࠍᕁ޿಴ߒߡ޿
ߚߛ߈ߚ޿㧚㧕 ⃿ߩᓟᵹ޽ࠆ޿ߪ౞ᒻࡁ࠭࡞߆ࠄ
ߩྃᵹߩࠃ߁ߦ㧘ᐔဋ⊛ߦߪゲኻ⒓ᕈࠍ᦭ߔࠆᵹ
ࠇߢߪ㧘࠼࡯࠽࠷⁁ߩ᷵߇߹ߕ↢ᚑߐࠇࠆߣ⠨߃ࠆߎߣ߇ߢ߈ࠆ㧚ᓟᵹ߽ྃᵹ߽ਅᵹߦะ߆߁ߦߟ
ࠇ᜛ᢔߩߚ߼ߦ᏷߇ᐢ߇ߞߡ޿ߊߚ߼㧘࠼࡯࠽࠷⁁ߩ᷵ߪᐔဋᵹߦࠃࠅિᒛߐࠇࠆ㧚৻ᣇ㧘౞ᩇߩᓟᵹ߿㧞ᰴరࡁ࠭࡞߆ࠄߩྃᵹߢ↢ᚑߐࠇࠆࠬࡄ
ࡦᣇะߩ᷵ߪᐔဋᵹߦࠃࠆિᒛߪߥ޿㧚 ߎߩߎߣࠍᑼ(16)ߢ⏕⹺ߔࠆ㧚x, y ᐔ㕙ߢߩ㧞ᰴరᵹ㧔z ᣇะߩㅦᐲᚑಽ߇ߥߊ㧘߆ߟ z ᣇะߦ৻᭽㧕ߩ႐ว㧘ฝㄝ╙ 1 㗄ߪᰴᑼߩࠃ߁ߦ 0 ߦߥࠆ㧚
§
w
w
w ·
¸v
 wy
 wz
w   v ¨¨ w x
wx
wy
wz ¸¹
©
§ w
·
w
¨¨ 0 
 0
 w z  0 ¸¸ v x , v y , 0
wy
© wx
¹

Fig. 5৻ᣇ㧘
㧔x, y, T㧕ᐳᮡ㧔x㧦ඨᓘᣇะ㧘y㧦ゲᣇะ㧘T㧦๟ᣇะ㧕ߢゲኻ⒓ߩ႐ว㧘ฝㄝ╙ 1 㗄ߪᰴᑼߩࠃ
߁ߦߥࠅ㧘0 ߦߪߥࠄߥ޿㧚
§
w ·
w
w
¸v
w   v ¨¨ w x
 wT
 wy
T ¸¹
w
w
w
x
y
x
©
§
·
w
w
¨¨ w x
 wT  0 ¸¸ v x , v y , 0
 wy
w
w
x
y
©
¹

(18)

ª§
wv y
wv y · º
wv x
wv · §¸, 0 »
 w y x ¸¸, ¨¨ w x
 wy«¨¨ w xwx
wy ¹ ©
wx
wy ¸¹ »¼«¬©
 ੂᵹࡕ࠺࡞ߩ㐿⊒ߩᱧผߦ߅޿ߡ㧘㧞ᰴరྃᵹߢ⚻㛎ቯᢙࠍ⺞ᢛߐࠇߚࡕ࠺࡞ߢߪ㧘ゲኻ⒓ྃᵹߩ⊒㆐ࠍᱜ⏕ߦ੍᷹ߢ߈ߥ޿ߣ޿߁ߎߣ߇໧㗴ߦߐࠇߚ㧚ߘߩℂ↱ߣߒߡ㧘਄ㅀߩ᷵ߩિᒛߦࠃࠅੂᵹࠛࡀ࡞ࠡ࡯ߩᢔㅺ₸߇ᄌൻߔࠆߎߣ߇ᜰ
៰ߐࠇߚ [25]㧚
 ߥ߅㧘ᑼ(17)ߢ㧘㧞ᰴరᵹߩ႐วߦฝㄝ╙ 1 㗄߇ 0 ߦߥࠆߣ޿߁ߩߪ㧘޽ߊ߹ߢ߽ᐔဋᵹߦࠃࠆነਈࠍᗧ๧ߒߡ޿ߡ㧘ታ㓙ߩᵹࠇߢߪੂᵹ㧔ᄌേ㧕ᚑಽߦࠃࠆነਈߪᒰὼߥ߇ࠄ޽ࠆ㧚ߒ߆ߒ㧘ᢙ୯⸘▚ߢᄌേᚑಽࠍ฽߼ߡቢోߥ㧞ᰴర⸘▚ࠍⴕ߁ࠃ߁ߥ႐วߦߪ㧘ߘߩน⢻ᕈࠍឃ㒰ߒߡߒ߹߁ߩߢ㧘ታ㓙ߩੂᵹߣߪ߆ߌ㔌ࠇߚ⚿ᨐߣߥࠆߎߣࠍⷡᖗߔࠆᔅⷐ߇޽ࠆ㧚(17)0, 0, 0Patterns of vortex shedding in wake at each region [22]                       - 19-           Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻

3.4 ㆃ޿ᵹࠇ [4-8, 10, 11] ᧄ┨ߢߪ㧘Re ᢙ߇ዊߐ޿ߣ߈ߩቯᏱᵹࠍ⠨߃ࠃ
߁㧚Re ᢙߪ㧘ᘠᕈ㗄ߣ☼ᕈ㗄ߩᲧߢ޽ࠆ߆ࠄ㧘Reᢙ߇ዊߐ޿ߣ߈ߦ㧘ᛒ޿ߩ߿ߞ߆޿ߥ㕖✢ᒻߩᘠᕈ㗄ࠍήⷞߒߡ㧔☼ᕈଥᢙP㧘࿶ജ p ߣߔࠆ㧕㧘P'v gradp(19)ߩࠃ߁ߦ☼ᕈ㗄ߣ࿶ജ㗄ߣߩ㊒วࠍ⠨߃ࠆߎߣߪ
⥄ὼߥߎߣߢ޽ࠅ㧘ߎࠇࠍ Stokes ㄭૃ(1851) [26]ߣ޿߁㧚 ߎߩㄭૃߦၮߠ޿ߡ৻᭽ᵹਛߦ⟎߆ࠇߚ⃿߹ࠊࠅߩᵹࠇࠍ᳞߼ࠆߣ㧔ዉ಴ߪ⚿᭴߼ࠎߤ߁ߢ޽ࠆ㧕㧘ᵹࠇ㑐ᢙ<㧘ㅦᐲ㧘࿶ജߪ§ 3 R 1 R3 · 2
1
U f ¨¨1 ¸r sin 2 T
2 © 2 r 2 r 3 ¸¹

Ȍ

(20)

1
§ 1 R·
2
2
U f ¨1 ¸ r  R sin T
2 ©
2 r¹

vr

§ 3 R 1 R3 ·U f ¨¨1 ¸ cos T
3 ¸
© 2 r 2 r ¹(21)

 ߎߎ߹ߢ᧪ࠆߣ㧘ᰴߥࠆࠬ࠹࠶ࡊߪ౞ᩇߩ႐ว
ߦ߽ Stokes ㄭૃࠍㆡ↪ߒߡߺࠆߎߣߛ߇㧘⚿⺰߆ࠄవߦㅀߴࠆߣ㧘౞ᩇߩࠃ߁ߥ㧞ᰴర‛૕ߦኻߒߡߪ㧘౞ᩇ⴫㕙ߩႺ⇇᧦ઙߣή㒢㆙ߩႺ⇇᧦ઙߩਔᣇࠍḩߚߔ⸃ߪሽ࿷ߒߥ޿㧚ߎߩߎߣߪ Stokesߩࡄ࡜࠼࠶ࠢࠬߣ๭߫ࠇ㧘60 ᐕᓟߦᘠᕈ㗄ࠍ✢ᒻൻߒߚ Oseen ㄭૃ(1910) [27] ߦࠃࠅ⸃᳿ߐࠇࠆߎ
ߣߦߥࠆ㧚Stokes ߩࡄ࡜࠼࠶ࠢࠬߦ㑐ߔࠆ⺑᣿ߪ
ᢥ₂[4-8, 10]ߦ⒳‫߇ࠆ޿ߡࠇߐߥޘ‬㧘૗ࠇ߽㔍⸃ߢ޽ࠆߩߪ߿߻ࠍᓧߥ޿ߣᕁࠊࠇࠆ㧚㧔ᧄ⾰⊛ߦߪ㧘ᢥ₂[5] p. 334 ߦ޽ࠆࠃ߁ߦ㧘Stokes Ḯ߇⊒ᢔߔࠆ߆ุ߆ߣ޿߁໧㗴ߢ޽ࠆ㧚㧕ߘߩਛߢ㧘Batchelor [4]ߦࠃࠆ⸃⺑ߪ㧘ᢙᑼߦࠃࠆኻᲧ߇޽ࠆߚ߼Ყセ⊛ౕ૕ᕈ߇޽ࠅℂ⸃ߒ߿ߔ޿㧔ℂ⸃ߒߚࠃ߁ߥ᳇ߦ
ߥࠇࠆ㧕ߣᕁࠊࠇࠆߩߢ㧘ᧄⓂߢ߽ណ↪ߔࠆ㧚 㕒ᱛᵹ૕ਛࠍ⃿޽ࠆ޿ߪ౞ᩇ߇ㆇേߔࠆ႐วࠍ
⠨߃ࠆ㧚⃿ߦߟ޿ߡ㧘ᑼ(26)ߢ␜ߒߚᵹࠇ㑐ᢙࠍ㧘಴⊒ὐߦ┙ߜ㄰ߞߡ᳞߼ࠆ႐ว㧘․⸃߇᣿ࠄ߆ߦ
sin 2 T ߦᲧ଀ߒߡ޿ࠆߎߣ߆ࠄ
U f sin 2 T  f r

ȌvT§ 3 R 1 R3 ·¸ sin TU f ¨¨1 

3 ¸© 4 r 4 r ¹(22)

ߣ߅ߊߣ㧘ᧂ⍮㑐ᢙ f ߦኻߔࠆᣇ⒟ᑼߪ
d2 f 2f
 2
r
dr 2

3 PU f R
p 
cos T
(23)
2 r2
ߣߥࠆ㧚⃿⴫㕙ߦᴪߞߡ㧘਄⸥ߩㅦᐲಽᏓߦၮߠ

2SPRU f ࿶ജᛶ᛫  4SPRU f ៺ᡂᛶ᛫6SPRU ff r

D1
UU f2  SR 2
2

24
Re

(25)

વᾲ 2004 ᐕ 1 ᦬(29)

U f sin T  f r(30)

ߣ߅ߊߣ㧘ᧂ⍮㑐ᢙ f ߦኻߔࠆᣇ⒟ᑼߪ
d 2 f 1 dff
dr 2 r dr r 2ߣߥࠅ㧘৻⥸⸃ߪ Stokes ㄭૃߢߪᣇ⒟ᑼߪ✢ᒻߥߩߢ㧘ࡐ࠹ࡦࠪࡖ࡞ᵹߩ႐วߣห᭽ߦ㊀ߨวࠊߖ߇น⢻ߢ޽ࠆ㧚ߘߎߢ㧘਄⸥ߩᵹࠇߦㅦᐲ U f ߩ৻᭽ᵹࠍ㊀ߨวࠊߖࠆߣ㕒ᱛᵹ૕ਛࠍ U f ߢㆇേߔࠆ⃿ߦࠃࠆᵹࠇ߇ᓧࠄࠇࠆ㧚ߎߩߣ߈ߩᵹࠇ㑐ᢙ<ߪᰴᑼߩࠃ߁ߦߥࠆ㧔ᢥ₂[4] p. 231㧘ᢥ₂[7] p. 302㧕㧚
§ 3 R 1 R3 · 2
U f ¨¨¸r sin 2 T
3 ¸
r
r
4
4
©
¹

(28)

1
 Cr  Lr 1  Mr 2
2଀ߒߡ޿ࠆߎߣ߆ࠄ
Ȍ

ߎࠇ߇ Stokes ߩᛶ᛫ᴺೣߢ޽ࠅ㧘Fig. 2 ਛߩὐ✢Ԙߦኻᔕߔࠆ㧚ȌCrߢ޽ࠆ㧚Ⴚ⇇᧦ઙߣߒߡߪ⃿⴫㕙ߣή㒢㆙߇޽ࠆ㧚ߎߎߢ㧘L ߣ M ߪ᷵ߥߒㆇേߦ⿠࿃ߔࠆ㗄ߩଥᢙߢ޽ࠆߩߢ㧘ή㒢㆙ߢߩႺ⇇᧦ઙࠍḩߚߔߚ߼ߦ
ߪ M = 0 ߣ߅ߌ߫ࠃߊ㧘ᱷࠅߩ C ߣ L ࠍㆡಾߦㆬ
ߴ߫⃿⴫㕙ߢߩႺ⇇᧦ઙࠍḩߚߔߎߣ߇ߢ߈ࠆ㧚 ৻ᣇ㧘౞ᩇߩ႐วߪ㧘․⸃߇᣿ࠄ߆ߦ sin T ߦᲧ

(24)ߒߚ߇ߞߡ㧘
CD {ߣߥࠅ㧘৻⥸⸃ߪߊ៺ᡂᔕജߣ࿶ജࠍⓍಽߔࠆߣ㧘ᛶ᛫ D ߇᳞߹ࠆ㧚
D

(27)

f r



C
r

1
 Cr ln r  Lr  Mr 1
2

(31)

(32)

ߢ޽ࠆ㧚ߎߎߢฝㄝ╙ 1 㗄ߪਇนᰳߥ᷵ᐲߦ⿠࿃
ߔࠆ㗄ߢ޽ࠆߚ߼㧔C = 0 ߣߔࠆߎߣߪߢ߈ߥ޿㧕ή㒢㆙ߢ⊒ᢔߒߡߒ߹߁㧚ߔߥࠊߜ㧘Stokes ㄭૃ

(26)

- 20-

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ߢߪ㧘ή㒢㆙ߩႺ⇇᧦ઙࠍḩߚߔ⸃ߪሽ࿷ߒߥ޿㧚⃿ߣ౞ᩇߩᧄ⾰⊛ߥᏅ⇣ߩ৻ߟߣ޿߃ࠃ߁㧚 ߚߛߒ㧘ߎߩࠃ߁ߦ⴫⃻ߒߡߒ߹߁ߣ㧘Stokesㄭૃߦߟ޿ߡએਅߩࠃ߁ߥੑߟߩ⺋⸃ࠍ᜗ߊᕟࠇ
߇޽ࠆ߆߽ߒࠇߥ޿㧚
㧝㧚Stokes ㄭૃߪ㧘ゲኻ⒓‛૕ߩ႐วߦߪ໧㗴߇ߥ޿߇㧘㧞ᰴర‛૕ߩ႐วߦ໧㗴߇↢ߓߚ㧚
㧞㧚Stokes ㄭૃߪ㧘㧞ᰴర‛૕ߩ႐วߦోߊήജߢ޽ࠆ㧚 㧝ߦߟ޿ߡߩᱜߒ޿ℂ⸃ߪᰴߩࠃ߁ߢ޽ࠆ㧦౞ᩇ㧘⃿ࠍ໧ࠊߕ㧘‛૕߆ࠄ㆙ߊߪߥࠇߚ႐ᚲߢߪ
Stokes ㄭૃߪ㧔Ⴚ⇇᧦ઙߪḩ⿷ߢ߈ߡ߽㧕ᅷᒰᕈࠍᄬ޿㧘⃿ߦߟ޿ߡ߽ߞߣ߽ࠄߒ޿⸃߇ᓧࠄࠇߚ
ߩߪᐘㆇߢ޽ߞߚ㧚㧔[5] p. 361㧘[7] p. 309㧕 㧞ߦߟ޿ߡߩᱜߒ޿ℂ⸃ߪᰴߩࠃ߁ߢ޽ࠆ㧦ᵹࠇߩ㗔ၞ߇᦭㒢ߩ႐ว Stokes ㄭૃߦࠃࠅૐ Re ᢙߩᵹࠇߪචಽᛒ߃ࠆ㧚㧔[4] p. 245㧘[5] p. 334㧕 ታ㓙㧘౞ᩇߩ႐วߦ㧘ᑼ(32)ߩ໧㗴ὐߦ⋡ࠍߟ߱ߞߡ㧘౞ᩇߩᛶ᛫ࠍ᳞߼㧘Oseen ㄭૃߢᓧࠄࠇߚଥ
ᢙࠍዉ౉ߔࠇ߫
CD {D1
UU f2  2 R
28S
Re ln 7.406 Re(33)

ߣߥࠅ㧘Fig. 3 ਛߩὐ✢ߦኻߔࠆẋㄭ✢ߦߥࠆ㧚
㧔[4] p. 246㧕 Stokes㧔1819. 8. 13 - 1903. 2. 1㧕ߪ㧘⏋ቇ߇߭ߒ߼ߊ Cambridgeᄢቇߢ߽೎ᩰߩሽ࿷ߢ޽ࠆ㧚Table 1 ߦ␜ߔࠃ߁ߦ㧘Lucas ᢎ᝼⡯ߦ㧘30 ᚽ߆ࠄ 84 ᚽߢ੢ߊߥࠆ߹ߢ 54 ᐕ㑆߽޿ߚ㧚
Table 1

4. ᷷ᐲ႐ [3, 9, 18, 28-34]
4.1 ቯᏱᾲવዉ ೨▵ߢ⠨߃ߚ Re ᢙ߇ዊߐ޿႐วߦኻᔕߒߡ㧘ᵹࠇ߇ߥ޿ᾲવዉ໧㗴ࠍ⠨߃ࠆ㧚⃿ߩ߹ࠊࠅߩᇦ
૕ߩᾲવዉ₸O߇৻ቯߣߔࠆߣ߈㧘ၮ␆ᣇ⒟ᑼߪ㧘᷷ᐲ T ߦኻߔࠆ⃿ኻ⒓ᐳᮡߢߩ࡜ࡊ࡜ࠪࠕࡦ
1 d § 2 dT ·¨r¸
r 2 dr © dr ¹ߢ޽ࠅ㧘ᾲᵹ᧤ q r ߪ
T1  T2
r >(1 r1 )  1 r2 @

O

qr

2

(36)

ߣߥࠆ㧚ߎߎߢᄖ஥ߩ⃿㕙ࠍή㒢㆙ߦ᜛ᄢߒߚႺ
⇇᧦ઙ
r

r1

R: T

Tw

r

f:

T

Tf

(37)

ࠍઍ౉ߔࠆߣ㧘⃿㕙⁁ߢߩᾲᵹ᧤ߪ
Tw  Tf(38)
Rߣߥࠅ㧘⋥ᓘ㧔= 2R㧕ࠍઍ⴫㐳ߐߣߔࠆ Nu ᢙߪ
qr R 2RNu
2(39)
O Tw  Tf

O

qr R

ߣߥࠆ㧚
 ৻ᣇ㧘౞ᩇኻ⒓ᐳᮡߢߪ㧘࡜ࡊ࡜ࠪࠕࡦ߇
1 d § dT ·¨r¸r dr © dr ¹

at Cambridge University
http://www.hawking.org.uk/home/hindex.html ߥߤ㧕
Professor
Chair Dates
Specialty
Isaac Barrow
1664-1669
Classics & Math.
Sir Isaac Newton
1669-1702
Math. & Physics
William Whiston
1702-1710
Math.
Nicolas Saunderson
1711-1739
Math.
John Colson
1739-1760
Math.
Edward Waring
1760-1798
Math.
Isaac Milner
1798-1820
Math. & Chemistry
Robert Woodhouse
1820-1822
Math.
Thomas Turton
1822-1826
Math.
Sir George Airy
1826-1828
AstronomyCharles Babbage
1828-1839
Math. & Computing
Joshua King
1839-1849
Math.
Sir George Stokes
1849-1903
Physics & Fluid Mech.
Sir Joseph Larmor
1903-1932
Physics
Paul Dirac
1932-1969
Physics
Sir M. James Lighthill 1969-1980
Fluid Mech.
Stephen Hawking
1980Theoretical Physics(34)ߣߥࠆ㧚หᔃߩੑߟߩ⃿⴫㕙㧔ᷝሼ 1 ߣ 2㧕ߢ᷷ᐲ߇ⷙቯߐࠇࠆߣ߈ߩ᷷ᐲಽᏓߪ
T1  T2
T r  T1 r2
 2 1
T
(35)
r >(1 r1 )  1 r2 @1 r1  1 r2

The Lucasian professorship of mathematics

㧔http://www.math.ohio-state.edu/~nevai/547/lucasian.html

0

0

(40)

ߩࠃ߁ߦ r ߩ 1 ਸ਼ߦߥࠆ߆ࠄ㧘หᔃߩੑߟߩ౞ᩇ
⴫㕙㧔ᷝሼ 1 ߣ 2㧕ߢ᷷ᐲ߇ⷙቯߐࠇࠆߣ߈ߩ᷷ᐲಽᏓߪT  T2T ln r2  T2 ln r1
T  1
(41)
ln r  1
ln r2 r1
ln r2 r1ߣߥࠅ㧘ᾲᵹ᧤ߪqrO

T1  T2
r ln r2 r1(42)ߣߥࠆ㧚ߎߎߢ㧘ߎߎߢᄖ஥ߩ౞ᩇ㕙ࠍή㒢㆙ߦ᜛ᄢߒߚႺ⇇᧦ઙ
r

r1

R: T

Tw

r

f:

T

Tf

(43)

ࠍઍ౉ߔࠆߣ㧘౞ᩇ㕙⁁ߢߩᾲᵹ᧤ߪ                       -21-           Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻(44) ߣ޿ߞߡ߽㧘ᑼ(47)ߣᑼ(48)ߪ㧘╩⠪ߩ⍮ࠆ㒢ࠅᢥ₂ਛߦߪߣߥࠆ㧚߽ߒ౞ᩇ⴫㕙᷷ᐲ߇๟࿐᷷ᐲߣ⇣ߥࠆ႐วߪ㧘⃻⽎⺰⊛ߦߪቯᏱ⸃ࠍᜬߚߥ޿ߎߣߦߥࠆ㧚 ߎߩߎߣߪ㧘೨▵ߢߺߚ Stokes ㄭૃࠍ౞ᩇߦㆡ
↪ߒߚ႐วߩ⎕✋ߣㅢߓࠆ߽ߩ߇޽ࠆߣ⸒߃ߥ޿
ߢ޽ࠈ߁߆㧚߽ߜࠈࠎਔ⠪ߩၮ␆ᣇ⒟ᑼߪ⇣ߥࠆ߇㧘రࠍߚߛߔߣ࡜ࡊ࡜ࠪࠕࡦߢߩ r ᣇะߩࡌࠠ
߇㧘⃿ߩ႐วߦߪ 2 ਸ਼ߢ޽ࠆߩߦኻߒ౞ᩇߩ႐ว
ߦߪ 1 ਸ਼ߢ޽ࠆߚ߼㧘Ⓧಽߩㆊ⒟ߢኻᢙ ln ߇⃻ࠇࠆߎߣߦ⿠࿃ߒߡ޿ࠆ㧚‛ℂ⊛ߦ┵⊛ߦ⴫⃻ߔࠆߣ㧘㧟ᰴర⊛ߦ᜛ᢔߢ߈ࠆ߆㧘㧞ᰴర⊛ߦߒ߆᜛ᢔߢ߈ߥ޿߆ߩᏅ⇣ߢ޽ࠅ㧘ߎߩߎߣߪ 3.1 ߢㅀߴߚࠃߤߺὐ߹ࠊࠅߩടㅦ₸ߩᄢዊߦ߽౒ㅢߒߡ
޿ࠆ⢛᥊ߣ߽޿߃ࠃ߁㧚ߥ߆ߥ߆⷗ᒰߚࠄߥ޿㧚ታߪ㧘ᑼ(48)ߪ㧘╩⠪߇ୃ჻ 2 ᐕ↢ߩ

q r r10ߣ߈㧘ᕲᏧߩ৻ੱߩ࿯ᣇ㇌ᄦవ↢ߦ B4 ߩⵣ⚕ 10 ᨎࠍ૶ߞߡ㧘⺋Ꮕ㑐ᢙࠍេ↪ߒߡዉ಴ߒߡ޿ߚߛ޿ߚ߽ߩߛ㧚 ߎߩࠃ߁ߥႺ⇇ጀᣇ⒟ᑼߦ㑐ߔࠆ⸃ᨆ⸃ߩዉ಴ߪ㧘ߌߞߎ߁㔍ߒ޿㧚ዋߥߊߣ߽╩⠪ߩ႐ว㧘⥄ജߢߪ⛘ኻౣዉ಴ਇน
⢻ߣᕁࠊࠇߚߩߢ㧘ዉ಴ߒߡ޿ߚߛ޿ߚᒰᣣߦᷡᦠߒ⋥ߒߚ⹦⚦ߥࡔࡕ߇ᱷߒߡ޽ࠆ㧚߽ߒᔅⷐߥ႐วߪએਅߩࠕ࠼࡟ࠬ
߹ߢߏㅪ⛊޿ߚߛ߈ߚ޿㧔yoshida@mech.kyoto-u.ac.jp㧕㧚 ߥ߅㧘ᢥ₂[28]ߦ㧘ᚻᴺߪ⇣ߥࠆ߇ᑼ(48)ߩฝㄝߣหߓ 0.850ߩଥᢙ߇ႎ๔ߐࠇߡ޿ࠆ㧚ᑼ(47)ߩଥᢙߪ Mangler ㅒᄌ឵ߦࠃ
ࠅ

4.3 ᒝ೙ኻᵹߢߩో૕ߩᾲવ㆐ ⓨ᳇ᵹਛߦ߅ߌࠆ㧘౞ᩇ߹ࠊࠅߩዪᚲ Nu ᢙಽ
Ꮣࠍ Fig. 6 ߣ Fig. 7 ߦ㧘⃿߹ࠊࠅߩዪᚲ Nu㧔Sh㧕ᢙಽᏓࠍ Fig. 8 ߣ Fig. 9 ߦ␜ߔ㧚౞ᩇ߽⃿߽㧘Reᢙ߇ૐ޿ߣ߈ߪ೨ᣇߩᾲવ㆐₸߇ᄢ߈޿߇㧘Re ᢙ߇Ⴧടߔࠆߦߟࠇ⢛㕙ߩߪߊ㔌ၞߢᄢ߈ߊߥࠆߎ
ߣ߇ࠊ߆ࠆ㧚
㧔ߚߛߒ㧘⃿ߩ႐ว㧘ో૕ߦኻߔࠆነ
ਈߪ cosTߩ㊀ߺࠍ⠨߃ࠆᔅⷐ߇޽ࠆὐߦᵈᗧ㧚㧕 ߎࠇࠄߩታ㛎㧔ᢙ୯⸘▚㧕⚿ᨐߦၮߠ޿ߡឭ᩺
ߐࠇߡ޿ࠆᐔဋ Nu ᢙߩ⋧㑐ᑼߢߪ㧘⃿ߩ႐วߦߪ೨ㅀߒߚ⚐☴ᾲવዉߩᭂ㒢୯ 2 ߇ቯᢙ㗄ߣߒߡ㓁ߦ⃻ࠇߡ޿ࠆ߇㧘౞ᩇߩ႐วߦߪߘߩࠃ߁ߥቯ
ᢙ㗄߇ߥ޿ߎߣߦᵈᗧߐࠇߚ޿㧚 ߥ߅㧘ਥᵹߦੂࠇ߇޽ࠆ႐วߩ౞ᩇ޽ࠆ޿ߪ⃿߹ࠊࠅߩᾲવ㆐ߦ㑐ߒߡ߽㧘ᢙᄙߊߩ⎇ⓥ߇ߥߐࠇߡ߈ߚ㧚․ߦ㧘೨ᣇࠃߤߺὐઃㄭߢߪ㧘Fig. 1
ߦ␜ߔᵹ✢߆ࠄℂ⸃ߢ߈ࠆࠃ߁ߦ㧘x ゲᣇะߩ᷵ᐲ߇િᒛࠍฃߌࠆߚ߼㧘y ゲᣇะߩੂࠇ߇ㆬᛯ⊛ߦჇ᏷ߐࠇࠆ㧚ߎߩ⚿ᨐ㧘વᾲ߇ଦㅴߐࠇࠆߣ޿
߁ᯏ᭴߇ઃടߐࠇࠆߎߣ߇㧘ᄙߊߩ⎇ⓥߩേᯏߣߥߞߚ㧚ߎߩߎߣߪ㧘㧞ᰴర޽ࠆ޿ߪゲኻ⒓ߩⴣ
⓭ྃᵹߦࠃࠆવᾲᯏ᭴⸃᣿ߩ⎇ⓥߣ߽౒ㅢߔࠆߎ
ߣߢ޽ࠅ㧘หᤨߦੂᵹࡕ࠺࡞ߩ㜞♖ᐲൻߦኻߔࠆ
ᬌ⸽ߩ႐ࠍឭଏߒߚߎߣࠍઃ⸥ߔࠆ㧚

4.2 ᒝ೙ኻᵹߢߩࠃߤߺὐㄭறߩᾲવ㆐ ౞ᩇߢ߽⃿ߢ߽㧘೨ᣇࠃߤߺὐㄭறߢߪㅦᐲႺ
⇇ጀߩෘߐ߇৻ቯߣߥࠆߎߣࠍ㧘వߦㅀߴߚ㧚Reᢙ߅ࠃ߮ Nu ᢙߩઍ⴫㐳ߐߣߒߡ㧘ࠃߤߺὐ߆ࠄ
ߩ〒㔌 x ࠍߣࠆߣ㧘Pr ᢙ߇ 1 ㄭறߩᵹ૕ߦኻߒߡ㧘Nu ᢙߪᰴᑼߩࠃ߁ߦㄭૃߐࠇࠆ㧚[3, 9]㧔એਅߢD
ߪᾲવ㆐₸ߢ޽ࠆ㧚㧕
㧞ᰴర㧦
Nu
Re

Dx Q
O Ux

Dx Q
O axx

D Q
O a

0.570 Pr 0.4 (45)

ゲኻ⒓㧦
Nu
Re

D Q
O a

0.763Pr 0.4(46)ߎߎߢ㧘ᑼ(46)ߪᑼ(45)߆ࠄ Mangler ᄌ឵[2, 3, 9]
ߦࠃࠅ 3 ߩଥᢙࠍਸ਼ߓߡ᳞߼ߚ㧚Fig. 1 ߢㅦᐲႺ⇇ጀߩෘߐ߇৻ቯߢ޽ߞߚߩߣኻᔕߒߡ㧘᷷ᐲႺ⇇ጀߩෘߐ߽৻ቯߣߥࠅ㧘Nu ᢙߪടㅦ₸ a ߩᐔᣇᩮߦᲧ଀ߔࠆ㧚 Pr ᢙ߇ 1 ࠃࠅߪࠆ߆ߦᄢ߈޿႐วߦߪ㧘Pr ᢙߩ
1/3 ਸ਼ߦᲧ଀ߔࠆᒻߢ㧘ᰴᑼߩࠃ߁ߦߥࠆ㧚
㧞ᰴర㧦
Nu
Re

D Q
O a

0.491Pr 1 3

(47)

D Q
O a

0.850 Pr 1 3(48)

5. Stokes ᴚᓟ 1٤٤ᐕߩ߻ߔ߮ ‫ߩߤߩޡ‬ዊ㛽ࠍᵹߒㄟ߻‫߁޿ߣޢ‬ડ↹ߩ⸒޿಴ߒߞߵߣߒߡߩ⽿છ਄㧘ਇീᒝߥ߇ࠄၫ╩⠪ߩ৻ੱߣߥࠅ㧘એ೨߆ࠄ⥄ಽߩਛߢᒁߞ߆߆ߞߡ޿ߚ
⃿ߣ౞ᩇߩ㑐ଥߦߟ޿ߡขࠅ਄ߍߚ㧚ၫ╩ᒰೋߪ㧘ૃߡ㕖ߥࠆ஥㕙ࠍᴛጊ᜼ߍࠇߥ޿߆ߣ⋡⺰ࠎߢ޿ߚ߇㧘⚿ᨐ⊛ߦߪ㧘ߣߎߣࠎૃߡ޿ࠆ஥㕙ࠍౣ⏕⹺ߔࠆㇱಽ߇ᄙߊߥߞߡߒ߹ߞߚ㧚ߚߛ㧘੹߹ߢṼὼߣߒ߆⹺⼂ߒߡ޿ߥ߆ߞߚ⃿ߣ౞ᩇߩ㑐ଥࠍ

ゲኻ⒓㧦
Nu
Re

વᾲ 2004 ᐕ 1 ᦬

3 ߢ㒰ߒߚ⚿ᨐߢ޽ࠆ㧚- 22-વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻

Fig. 6 Local Nusselt number around a cylinder
in a uniform flow (low Re number) [18, 29, 31]

Fig. 8 Local Sherwood number around a sphere in a
uniform flow (low Re number: calculation) [32, 34]㧔ฝ஥߇೨ᣇ㧕

Fig. 7 Local Nusselt number around a cylinder in a
uniform flow (high Re number) [18, 30, 31]

Fig. 9 Local Nusselt number around a spherein a uniform flow (high Re number) [33, 34]㧔Ꮐ஥߇೨ᣇ㧕ᢛℂߔࠆࠃ޿ᯏળߦߪߥߞߚ㧚୘ੱ⊛ߦߪ㧘ߕߞߣ⷗ߡߺߚ޿ߣᕁ޿ߥ߇ࠄ⺞ᩏࠍవᑧ߫ߒߒߡ޿
ߚ㧘⃿ߩᓟᵹਛߦᒻᚑߐࠇࠆ᷵ࠍೋ߼ߡ⏕⹺ߢ߈ߚߩ߽ሜߒ߆ߞߚ㧚 ߢ߈ࠆߎߣߥࠄ㧘⓸ᕷߒߥ޿߉ࠅ߉ࠅߩߣߎࠈ
ߢ㧘ᱜ᦬ߩߚ߼ߦ⾈ߞߡ߈ߚ٤㘿ࠍࠣࠗ࠶ߣ㘶ߺㄟࠎߢዊ㛽ࠍᵹߒㄟߺߚ߆ߞߚ㧚ߒ߆ߒ㧘ߣࠅࠊ
ߌ Stokes ߩࡄ࡜࠼࠶ࠢࠬߦ㑐ߔࠆㇱಽߪ㧘໧㗴ߩᷓߺߦኻߒߡ╩⠪ߩജ㊂ਇ⿷߇᳿ቯ⊛ߢ޽ࠅ㧘৾⨲♄ࠍ㘶ߺㄟࠎߛ⒟ᐲߣ⥄ⷡߒߡ޿ࠆ㧚ߎߩὐߪᔃᱷࠅߢ޽ࠆ߇㧘Stokes ߇↢ᶦߣ Lucas ᢎ᝼⡯ࠍో߁ߒߚߩ߇ 1903 ᐕߢ㧘ᴚᓟ 1٤٤ᐕߩ 2٤٤3ᐕᄢ᥂ᣣߦ㧘⃿ߣ౞ᩇߦ㑐ߔࠆේⓂࠍ߭ߣ߹ߕᦠ
߈⚳߃ࠆߎߣ߇ߢ߈ߚߎߣࠍᐘ޿ߣߒߚ޿㧚⻢ ㄉ ᧄⓂߩ✦ಾ⋥೨ߦ㧘㒢ࠄࠇߚᤨ㑆ߢߪ޽ߞߚ߇㧘ฬฎደᎿᬺᄢቇߩ㐳㊁㕏ዏవ↢ߣ᧲੩Ꮏᬺᄢቇߩ
ችౝᢅ㓶వ↢ߦ㧘᜕Ⓜࠍߏⷩ޿ߚߛ߈⾆㊀ߥࠦࡔࡦ࠻ࠍᄙᢙ޿ߚߛ޿ߚ㧚ߎߎߦ⸥ߒߡ⻢ᗧࠍ⴫ߔࠆᰴ╙ߢ޽ࠆ㧚                       -23-           Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ෳ⠨ᢥ₂[1] ᧄ Ꮉ ㆐㓶 㧘↢ ߈ ߽ߩ ߪ౞ ᩇ ᒻ㧘 NHK ಴(1998).
[2] Schlichting, H. and Gersten, K., Boundary-Layer
Theory, 8th Revised and Enlarged Edition,
Springer (2000).
[3] ↲⮮ᅢ㇢㧘વᾲ᭎⺰㧘㙃⾫ၴ (1964).
[4] ࡃ࠴ࠚ࡜࡯ G. K. (ᯅᧄ⧷ౖ߶߆ ⸶)㧘౉㐷ᵹ૕ജቇ㧘᧲੩㔚ᯏᄢቇ಴ ዪ (1972).
[5] ੹੗ഞ㧘ᵹ૕ജቇ ೨✬㧘⵷⪇ᚱ (1973).
[6] ᫪ᐽᄦ㧘࿯ᣇ㇌ᄦ㧘ᵹࠇߣᾲߩᎿቇ I㧘౒┙಴(1976).
[7] Ꮟ෹ᱜ㧘ᵹ૕ജቇ㧘ၭ㘑㙚 (1982).
[8] ᣣ㊁ᐙ㓶㧘ᵹ૕ജቇ㧘ᦺୖᦠᐫ (1992).
[9] Kays, W. M. and Crawford, M. E., Convective
Heat Transfer, Third Edition, McGraw-Hill(1993).
[10] ᧁ↰㊀㓶㧘ᵹ૕ᣇ⒟ᑼߩ⸃߈ᣇ౉㐷㧘౒┙಴
(1994).
[11] ૒㊁ℂ㧘ㅪ⛯૕ߩജቇ㧘⵷⪇ᚱ (2000).
[12] Hinze, J., Turbulence, 2nd ed,. McGraw-Hill(1975) 463.
[13] ↰ฎ㉿ືᄦ㧘᳓ᵒ┹ᛛߩᵹࠇቇ㧘᧲੩ᄢቇ౏㐿⻠ᐳ ࠬࡐ࡯࠷㧘᧲੩ᄢቇ಴ ળ (1986),
155.
[14] ችਅలᱜ㧘᳓ᵒࡃࠗࠝࡔࠞ࠾ࠢࠬ⎇ⓥߩㆊ෰㧘⃻࿷㧘ᧂ᧪㧘૕⢒ߩ⑼ቇ㧘48-11 (1998) 927, 48-12(1998) 1015.
[15] Klauck, J., Man’s water resistance in accelerated
motion: An experimental evaluation of the added
mass concept, Proc. of VIII Int. Sympo. on
Biomechanics and Medicine in Swimming, (1998)
83.
[16] Toussaint, H. M., Biomechanics of propulsion anddrag in front crawl swimming, (2002) http://www.aptn.pt/artigos_tecnicos/Toussaint.2.pdf[17] ࡑࠣ࡝ࠪࠝ, E. W. (㊁᧛ᱞ↵㧘↰ญᱜ౏ ⋙⸶),ࠬࠗࡒࡦࠣ࡮ࠗ࡯ࡉࡦ࡮ࡈࠔ࡯ࠬ࠲࡯㧘ࡌ࡯ࠬࡏ࡯࡞࡮ࡑࠟࠫࡦ␠ (1999).
[18] Zukauskas A. and Ziugzda J., Heat Transfer of a
Cylinder in Crossflow (Edited by Hewitt, G. F.),
Hemisphere (1985).
[19] ࡠࡃ࡯࠻࡮ࠕ࠺ࠕ (ਛ᧛๺ᐘ ⸶)㧘ࡌ࡯ࠬࡏ࡯
࡞ߩ‛ℂቇ㧘♿દ࿖ደᦠᐫ (1996).
[20] ࡈࠜࡦ࡮ࠞ࡞ࡑࡦ (⼱৻㇢ ⸶)㧘㘧ⴕߩℂ⺰㧘વᾲ 2004 ᐕ 1 ᦬ጤᵄᦠᐫ (1956) 66㧘޽ࠆ޿ߪ(㊁᧛቟ᱜ ⸶)㧘
ᄢⓨ߳ߩ᜸ᚢ㧙⥶ⓨቇߩῳ ࠞ࡞ࡑࡦ⥄વ㧙㧘᫪ർ಴
(1995).
[21] Ḵ↰ᱞੱ㧘ࠞ࡞ࡑࡦ᷵ߩ቟ቯ㈩೉⸘▚ߦ߹ߟࠊ ࠆ ࡈ ࡟ ࠬ ࠦ ↹ ߪ ߎ ࠇ ߆ 㧫 㧘 ߥ ߇ ࠇ 18-6
(1999) 365, St Christopher and the vortex - A
Kármán vortex in the wake of St Christopher’s
heels,Nature404-6775(2000)
226.,
http://www.fit.ac.jp/~mizota/kenkyu/bologna/bologna.html[22] Sakamoto, H. and Haniu, H., A study on vortex
shedding from spheres in a uniform flow, J. Fluids
Eng., 112-4 (1990) 386.
[23] Shirayama, S., Flow past a sphere: Topologicaltransitions of the vorticity field, AIAA J., 30-2
(1992) 349.
[24] Dallmann, U., Gebing, H. and Vollmers, H.,
Unsteady three-dimensional separated flows
around a sphere - Analysis of vortex chain
formation, in Bluff-Body Wakes, Dynamics andInstabilities, IUTAM Sympo., Springer (1993) 27.
[25] Pope, S. B., An explanation of the turbulent
round-jet/plane-jet anomaly, AIAA J., 16-3 (1978)
279.
[26] Stokes, G. G., On the effect of the internal frictionof fluids on the motion of pendulums, Trans. Cam.
Phil. Soc., 9, Part II (1851) 8.
[27] Oseen, C. W., Über die Stokes’sche Formel undüber eine verwandte Aufgabe in derHydrodynamik, Arkiv Mat., Astron. och Fysik,
6-29 (1910) 1.
[28] Chin, D-T. and Tsang, C-H., Mass transfer to an
impinging jet electrode, J. Electrochem. Soc.,
125-9 (1978) 1461.
[29] Eckert, E. R. G. and Soehngen, E., Distribution ofheat-transfer coefficients around circular cylinders
in crossflow at Reynolds numbers from 20 to 500,
Trans. ASME, (1952) 343.
[30] Schmidt, E. and Wenner, K., Wärmeabgabe uberden Umfang eines angeblasenen geheizten
Zylinders, Forschungauf dem Gebiete desIngenieurwesens, 12 (1941) 65.
[31] Eckert, E. R. G. and Drake, R. M. Jr., Analysis ofHeat and Mass Transfer, McGraw-Hill (1972).
[32] Woo, S.-W., Ph. D. Thesis, McMaster Univ.,- 24-વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻

Hamilton, Ontario, (1971).
[33] Xenakis, G., Amerman, A. E. and Michelson, R.
W.,
Investigationoftheheat-transfer
characteristics of spheres in forced convection,

Wright Air Dev. Cent. Tech. Rep., 53-117 (1953)
http://www.gl.iit.edu/wadc/.
[34] Clift, R., Grace, J. R. and Weber, M. E., Bubbles,
Drops, and Particles, Academic Press (1978).

                       -25-           Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ࠛࡀ࡞ࠡ࡯ᑼࠍᎼࠆ
Around the Energy Equations↰Ꮉ ᱜੱ㧔ฬฎደᎿᬺᄢቇ㧕
Masato TAGAWA (Nagoya Institute of Technology)

1. ߪ

ߓ

߼

ߦ

೨߇ߔߋߦᐞੱ߽ᕁ޿ᶋ߆ࠎߛߩߢㄉㅌߒࠃ߁߆ߣᄢ
޿ߦㅅߞߚ߇㧘⚿ᨐ⊛ߦߪ㧘⸥੐ߩ࠲ࠗ࠻࡞ࠍᮡ⸥ߩ

વᾲ⎇ⓥળഃ┙ 20 ๟ᐕ⸥ᔨ․㓸 [1] ߩਛߦ㧘਻Ꮊᄢࠃ߁ߦ⸳ቯߒߚ਄ߢߎߩ⺖㗴ߦขࠅ⚵߻ߎߣߦߥߞߚ‫ޕ‬ቇ ⷏Ꮉ౗ᐽవ↢ߩ‫ޡ‬વᾲ㔀ᗵ‫߁޿ߣޢ‬ᢥ┨߇޽ࠆ‫ߘޕ‬એਅߢߪ㧘ࠛࡀ࡞ࠡ࡯ᑼߣߒߡࠃߊ૶ࠊࠇࠆ⴫⃻ߦߎߦߪ㧘‫ߩ⑳ޟ‬๟࿐ߦ㑐ߒߡવᾲࠪࡦࡐࠫ࠙ࡓߢᕁ޿಴

⥋ࠆㆊ⒟ࠍߚߤࠆ‫ߚ߹ޕ‬㧘⥄ὼኻᵹ߿Ά὾ࠍขࠅᛒ߁

ߐࠇࠆߎߣߩ৻ߟߪ̖‫ߢޠ‬ᆎ߹ࠆᲑ⪭߇޽ࠅ㧘ࠛࡀ࡞႐วߦ໧㗴ߣߥࠆ੐ᨩߦߟ޿ߡ߽⚫੺ߒߚ޿‫ޕ‬ࠡ࡯ᑼߩᱜߒ޿૶޿ᣇ (⴫⃻) ߦߟ޿ߡ⺰੎߇޽ߞߚߎ
ߣ߇⸥ߐࠇߡ޿ࠆ‫ޕ‬ኒᐲ

߿ቯ࿶Ყᾲ

ߥߤ‛ᕈ୯

2. ࠛࡀ࡞ࠡ࡯ᑼߩ⒳‫⃻⴫ߩޘ‬߇ᄌൻߔࠆ♽ߦ߅޿ߡ㧘਻ᄢࠣ࡞࡯ࡊ߇ࠛࡀ࡞ࠡ࡯ᑼ

ߎߩ▵ߢߪ㧘ᵹ૕ਛߩᾲ⒖േ⃻⽎ࠍ⸥ㅀߔࠆࠛࡀ࡞

ߣ⴫ߒߡ⸘

ߩኻᵹ㗄ࠍ

▚ߒߚߎߣߦኻߒߡ㧘ળ႐߆ࠄߘࠇߪㄭૃ⸘▚ߢ޽ߞ
ߡᱜߒߊߪ

ߢ⸘▚ߔߴ

ߣ߼ߡߺࠆ‫ޕ‬એਅߢߪ㧘ኻ⽎ࠍන⋧ߩ࠾ࡘ࡯࠻ࡦᵹ૕(⚐‛⾰) ߦ㒢ቯߔࠆ‫ߚ߹ޕ‬㧘ㅦᐲ൨㈩߿᷷ᐲ൨㈩߇ᄢ
߈ߊߥߊ㧘⒳‫⁁ߩޘ‬ᘒ㊂ߩ㑆ߦߪᐔⴧ♽ߩ႐วߣห᭽

߈ߣߩᛕ್߇޽ߞߚߎߣ߇⚫੺ߐࠇߡ޿ࠆ‫⷏ޕ‬Ꮉవ↢ߪߎߩᛕ್߇⾰໧⠪ߩ⺋⸃ߦࠃࠆ߽ߩߢ޽ࠅ㧘ᣇ⒟ᑼ

ߩᾲജቇ⊛㑐ଥ߇ᚑ┙ߔࠆ߽ߩߣߔࠆ‫ߚ߹ޕ‬㧘◲නߩߩ‛ℂ⊛ᗧ⟵ࠍᔓࠇࠆߎߣߩෂ㒾ᕈߦߟ޿ߡㅀߴࠄࠇ

ߚ߼ߦ࠺ࠞ࡞࠻ᐳᮡ♽ (Cartesian coordinates) ࠍ↪޿ߡߡ޿ࠆ‫ޕ‬

ᣇ⒟ᑼࠍ⸥ㅀߒ㧘ᷝሼߦߟ޿ߡ✚๺ⷙ⚂ࠍㆡ↪ߔࠆ‫ޕ‬ߚߒ߆ߦ㧘㕖࿶❗ᕈᵹ૕ߩࠛࡀ࡞ࠡ࡯ᑼߣߒߡ

2 1 ౝㇱࠛࡀ࡞ࠡ࡯ ߢ⴫␜ߐࠇࠆࠛࡀ࡞ࠡ࡯ᑼ
ᵹ૕ਛߩᾲ⒖േ⃻⽎ߩ⸃ᨆߢߪ㧘ᒝ೙ኻᵹߩࠃ߁ߦᾲ

ࠍᏱ↪ߒߡ޿ࠆߣ㧘‛ℂࠍ㔌ࠇߡᣇ⒟ᑼߘߩ߽ߩ߇৻ੱᱠ߈ߒ㧘ߘߎߦ೔ࠆࡊ

ャㅍ߇ᵹ૕ㆇേߦኻߒߡฃേ⊛ߢ޽ࠆ߆㧘⥄ὼኻᵹߩࡠ࠮ࠬ (ᑼߩ೨ឭ᧦ઙ߿ㆡ↪▸࿐ߥߤ) ߦኻߔࠆᗧ⼂ࠃ߁ߦ⢻േ⊛ߢ޽ࠆ߆ߣ޿߁Ꮕߪ޽ࠆ߽ߩߩ㧘ࠛࡀ࡞ߪ⭯ࠇߡ޿ߊ‫ޕ‬ේὐߦ┙ߜ㄰ࠆߎߣߪ૗ᤨ߽㊀ⷐߢ޽ࠡ࡯ᑼࠍએਅߦ␜ߔㅪ⛯ߩᑼ߅ࠃ߮ㆇേᣇ⒟ᑼߣ⚵ߺࠆ‫ޕ‬᫪࡮࿯ᣇߩ⪺ᦠ [2] ߢߪ㧘ᰴᑼߦ␜ߔࠛࡀ࡞ࠡ࡯

วࠊߖࠆ‫ޕ‬ኒᐲ ߇ᄌൻߔࠆ႐ว㧘ㅪ⛯ߩᑼߪᰴᑼߢ

ᑼߩੑㅢࠅߩ⴫⃻ (Ყౝㇱࠛࡀ࡞ࠡ࡯ ߅ࠃ߮Ყࠛࡦ
࠲࡞ࡇࠡ࡯ᑼߩ⴫⃻ߦߟ޿ߡ㧘ၮᧄᒻߣ೨ឭ᧦ઙߦߟ޿ߡ߹

ਈ߃ࠄࠇࠆ‫ޕ‬ߦၮߠߊੑߟߩᑼ) ߇␜ߐࠇߡ߅ࠅ㧘ߘࠇߙࠇߩᏀㄝ╙ 2 㗄ࠍ⋭⇛ߒߚ႐วߦߪ㧘ߤߜࠄ߇ࠃࠅᱜ

(3)⏕ߥߩ߆߇⼏⺰ߐࠇߡ޿ࠆ‫ޕ‬
ߎߎߢ

(1)

ߪㅦᐲࡌࠢ࠻࡞ߩ ᣇะᚑಽߢ޽ࠅ㧘ߪᰴᑼߩታ⾰ᓸಽࠍ⴫ߔ‫ޕ‬(4)(2)
ᑼ (3) ߆ࠄ㧘ኒᐲ

ߣᲧ૕Ⓧߦߟ޿ߡᰴߩ㑐ଥᑼࠍᓧࠆ‫ޕ‬ᧄ․㓸ࠍડ↹ߐࠇߚศ↰⧷↢వ↢߆ࠄ㧘਄⸥ߩࠃ߁
ߥၮᧄ⊛੐㗄ߦߟ޿ߡ໧㗴ᗧ⼂ࠍ߽ߟߎߣߩ㊀ⷐᕈࠍ␜ໂߐࠇߚ਄ߢ㧘‫࡯ࠡ࡞ࡀࠛޟ‬ᑼߩ⒳‫ߣ⃻⴫ߩޘ‬ᱜߒ޿૶޿ᣇ‫ߡ޿ߟߦޠ‬૗߆ᦠߊࠃ߁ߦߣ⺖㗴ࠍਈ߃ࠄࠇߚ‫ޕ‬ᱜߒ޿૶޿ᣇࠍᦠߊߛߌߩ⥄ାߪߥߊ㧘ㆡછߩᣇߩฬ

વᾲ 2004 ᐕ 1 ᦬

- 26-

(5)

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ኒᐲ߇৻ቯߩᵹ૕ (㕖࿶❗ᕈᵹ૕) ߦኻߔࠆㅪ⛯ߩᑼߪ㧘ᑼ (5) ߆ࠄߣߥࠆ‫৻ޕ‬ᣇ㧘ㆇേᣇ

૕Ⓧ☼ᕈଥᢙࠍ

ߣߒߡ㧘 ࠍ࠺ࠞ࡞࠻ᐳᮡ♽ߢౕ૕⊛ߦ⸥ㅀߔࠆߣᰴᑼߩࠃ߁ߦߥࠆ [3]‫ޕ‬

⒟ᑼߪ

(6)

ߢਈ߃ࠄࠇࠆ‫ߢߎߎޕ‬㧘 ߪ࿶ജ㧘

ߪ૕Ⓧജࠍ⴫

ߔ‫ޕ‬ㅢᏱߪ㧘ࠬ࠻࡯ࠢࠬߩ઒⺑ߦࠃࠅ૕Ⓧ☼ᕈଥᢙࠍߣߔࠆ‫ޕ‬(11)ᑼ (8) ࠍᰴߦ␜ߔࠛࡦ࠻ࡠࡇ ߩ෼ᡰᑼ [5] [6] ߆ࠄዉߊߎߣ߽ߢ߈ࠆ‫ޕ‬

ㆇേᣇ⒟ᑼߣ⚵ߺวࠊߐࠇࠆࠛࡀ࡞ࠡ࡯ᑼߣߒߡߪ
᷷ᐲ

(12)

ߢ⴫␜ߐࠇߚᰴᑼ߇ᐢߊ↪޿ࠄࠇࠆ‫ޕ‬(7)ߎߎߢ㧘 ,

ߪߘࠇߙࠇᾲવዉ₸㧘ቯ࿶Ყᾲࠍ⴫

ߔ‫ޕ‬᷷ᐲવዉ₸ (ᾲ᜛ᢔଥᢙ)ࠍ↪޿ߡߣ⴫␜ߐࠇࠆߎߣ߽ᄙ޿‫ޕ‬ᑼ (7) ߩࠛࡀ࡞ࠡ࡯ᑼߪ޿ߊߟ߆ߩ઒ቯߩ߽ߣߦዉ಴
ߐࠇߚ߽ߩߢ޽ࠆ‫࡯ࠡ࡞ࡀࠛߪߟ৻ߩ⊛⋡ߩ⺰ᧄޕ‬ᑼߩઍ⴫ߣ߽޿߃ࠆᑼ (7) ߦ⥋ࠆㆊ⒟ࠍߚߤࠆߎߣߢ޽ࠆ‫ޕ‬ᑼ (12) ߩฝㄝ╙ 1 㗄ߣ╙ 2 㗄ߪߘࠇߙࠇᾲવዉߣᵹ
૕៺ᡂߦࠃࠆᾲߩነਈࠍ⴫ߔ ‫⁁ߪࡇࡠ࠻ࡦࠛޕ‬ᘒ㊂ߢ޽ࠆ߆ࠄ㧘޽ࠆㆊ⒟ߦ߅ߌࠆࠛࡦ࠻ࡠࡇᄌൻ㊂ߪߘߩᄌൻߩ⚻〝ߦࠃࠄߥ޿‫ߡߞ߇ߚߒޕ‬㧘ᾲવዉ߿៺ᡂߣ޿ߞߚਇนㅒㆊ⒟ߩ⚿ᨐߣߒߡ↢ߓࠆࠛࡦ࠻ࡠ
ࡇᄌൻߦߟ޿ߡ߽㧘ઁߩੑߟߩ‛ℂ㊂ (ߎߎߢߪ ߣᲧ૕Ⓧ ) ߩนㅒㆊ⒟ࠍㅢߒߡᰴߩᾲജቇ㑐ଥᑼ߆ࠄ⸘▚ߢ߈ࠆ‫ޕ‬(13)Ყౝㇱࠛࡀ࡞ࠡ࡯ (◲නߩߚ߼ߦ㧘એਅߢߪౝㇱࠛࡀ࡞ࠡ࡯ߣࠃ߱) ߦߟ޿ߡߩࠛࡀ࡞ࠡ࡯ᑼߪ㧘ᾲવዉᑼ (13) ߩਔㄝࠍᓸዊᤨ㑆߇ࡈ࡯࡝ࠛߩᴺೣߢ⸥ㅀߐࠇࠆߣߔࠇ߫ᰴᑼߣߥࠆ‫ޕ‬

ታ⾰ᓸಽ

(8)

ߢഀࠅ㧘ᤨ㑆ᓸಽߦᄌ឵ߔࠆߎߣߦࠃߞߡᰴߩ㑐ଥࠍ

ᓧࠆ‫ޕ‬

(14)

ᑼ (8) ߪౝㇱࠛࡀ࡞ࠡ࡯ ߣㆇേࠛࡀ࡞ࠡ࡯
ߩ๺ࠍߩࠛࡀ࡞ࠡ࡯෼ᡰࠍ᳞߼ߚᓟߦ㧘ߘࠇ߆ࠄᑼ (14) ࠍᑼ (12) ߩᏀㄝߦઍ౉ߒ㧘ᑼ (5) ߩ╙ 2 ᑼࠍ೑ߩነਈಽࠍᏅߒᒁߊߎߣߢᓧࠄࠇࠆ [3] [4]‫ޕ‬ᑼ (8) ߩ↪ߔࠇ߫㧘ᑼ (12) ߪᑼ (8) ߦᏫ⌕ߔࠆ‫ߚ߹ޕ‬㧘ᑼ (8) ࠍߪᵹ૕៺ᡂߦࠃߞߡജቇ⊛ࠛࡀ࡞ࠡ࡯߇ᢔㅺߒߡᾲ

ᑼ (5) ߩ╙ 1 ᑼߦࠃࠅᦠ߈឵߃ࠆߎߣߢᑼ (1) ࠍᓧࠆ‫ޕ‬ߦᄌ឵ߔࠆ㊂ࠍ⴫ߒ㧘ᰴᑼߢਈ߃ࠄࠇࠆ [5]‫ޕ‬

2 2 ࠛࡦ࠲࡞ࡇ ߅ࠃ᷷߮ᐲ ߢ⴫␜ߐࠇࠆࠛࡀ
ࠛࡀ࡞ࠡ࡯ᑼࠍᲧࠛࡦ࠲࡞ࡇ (એਅߢ࡞ࠡ࡯ᑼߪනߦࠛࡦ࠲࡞ࡇߣࠃ߱) ߢ⴫ߔߎߣ߽ᄙ޿‫ޕ‬ౝㇱࠛ(9)ࡀ࡞ࠡ࡯ ߪ

ߣᰴᑼߩ㑐ଥߦ޽ࠆ‫ޕ‬(15)
ᑼ (15) ߩਔㄝࠍᤨ㑆 ߢᓸಽߒ㧘ታ⾰ᓸಽߦᄌ឵ߔ
ᑼ (9) ߩ 1 ⴕ⋡ߩߪᰴߩ☼ᕈᔕജ࠹ࡦ࠰࡞ࠍ⴫ߔ‫ޕ‬

ࠆߣ

(16)
(10)

ฝㄝߪ㧘ਇนㅒㆊ⒟ߦࠃࠆࠛࡦ࠻ࡠࡇߩ↢ᚑ
ߣᾲߩ⒖േߦ઻ߞߡ↢ߓࠆࠛࡦ࠻ࡠࡇߩᄌൻ
߆ࠄߥࠆ [5] [7]‫ޕ‬                       -27-            Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ߣߥࠆ‫ࠍࠇߎޕ‬ᑼ (8) ߩᏀㄝߦઍ౉ߒ㧘ᑼ (5) ߩ╙ 2

ᑼ (23) ߩฝㄝ╙ 2 㗄ߪᰴᑼߢቯ⟵ߐࠇࠆ૕⤘ᒛଥᢙᑼࠍ↪޿ࠆߎߣߦࠃࠅᑼ (2) ࠍᓧࠆ‫ޕ‬
ᰴߦ㧘᷷ᐲ

(24)

ߢࠛࡀ࡞ࠡ࡯ᑼࠍ⴫ߔߎߣࠍ⠨߃ߡߺࠆ‫ޕ‬ౝㇱࠛࡀ࡞ࠡ࡯ߩᄌൻ

ߣ᷷ᐲߩᄌൻ

ߩ㑆ࠍ↪޿ࠇ߫ᰴߩࠃ߁ߦᦠ߈឵߃ࠆߎߣ߇ߢ߈ࠆ‫ޕ‬ߦߪᰴߩᾲജቇ⊛㑐ଥ߇ᚑ┙ߔࠆ‫ޕ‬

(25)

(17)
ᑼ (17) ߩਔㄝࠍ

ߢഀߞߡ

ࠍ

ߦᄌ឵ߒ㧘

૕⤘ᒛଥᢙ

ߪ㧘ℂᗐ᳇૕ߢߪ

ߣߥࠆ߆ࠄ㧘

[K] ߣߥࠆ‫৻ޕ‬ᣇ㧘ห᷷ᐲ 20 C ߢᑼ (5) ࠍ↪޿ࠆߣᰴᑼࠍᓧࠆ‫ޕ‬[K ] (ℂ⑼ᐕ
⴫) ߢ޽ࠅ㧘᳇૕ߣᲧセߔࠆߣ৻ᩴዊߐ޿‫ޕ‬ߓ᷷ᐲߩ᳓ߩ႐วߦߪ

(18)ߎߩ⚿ᨐࠍᑼ (8) ߦઍ౉ߔࠆߎߣߦࠃߞߡ㧘᷷ᐲቯኈᲧᾲ() ߩ㕖࿶❗ᕈᵹ૕ߢߪ
ߒߚ߇ߞߡ㧘ㅢᏱߩᶧ૕ߩ႐วߦߪ

ߣߺߥߖࠆ‫ޕ‬ࠍ฽߻㗄ߩነਈߪήⷞߢ߈ࠆ [6]‫ߒ߆ߒޕ‬㧘᳇૕ߩ႐วߦߪήⷞ

ߣߢ߈ߥ޿႐ว߇޽ࠆ‫ߪߡ޿ߟߦࠇߎޕ‬ᰴ▵ߢㅀߴࠆ‫ޕ‬ߢ⴫ߐࠇࠆࠛࡀ࡞ࠡ࡯ᑼߣߥࠆ‫ޕ‬એ਄ߢߪ㧘ౝㇱࠛࡀ࡞ࠡ࡯ 㧘ࠛࡦ࠲࡞ࡇ 㧘᷷ᐲߦၮߠߊࠛࡀ࡞ࠡ࡯ᑼࠍᛒߞߡ߈ߚ‫৻ޕ‬ᣇ㧘వㅀߩ
ࠃ߁ߦ

(19)

߿

ߦᵹ૕ߩㆇേࠛࡀ࡞ࠡ࡯

()ࠍട߃ߚోࠛࡀ࡞ࠡ࡯

() ߿ోࠛࡦ࠲࡞ࡇ
) ߢࠛࡀ࡞ࠡ࡯ᑼࠍ⴫␜ߔࠆߎߣ߇޽ࠆ‫ߚޕ‬(ห᭽ߦ㧘ࠛࡦ࠲࡞ࡇߩᄌൻ

ߣߩ㑆ߦߪᰴߩ

ߣ߃߫㧘ోࠛࡦ࠲࡞ࡇ

㑐ଥ߇޽ࠆ‫ޕ‬ߦኻߔࠆࠛࡀ࡞ࠡ࡯ᑼߪᰴ

ߩࠃ߁ߦߥࠆ [4] [8]‫ޕ‬(20)
ᑼ (20) ߦࠃࠇ߫㧘

ߪ

ࠍㅢߒߡ

(26)
ቯᏱߥ♽ߢߪ㧘ᑼ (26) ߩᏀㄝ╙ 2 㗄ߣᰴߩᾲജቇ

ࠆ‫ޕ‬ട߃ߡ㧘ᵹㅦ߇ㆃ޿႐วߦߪ

⊛㑐ଥߦ޽ࠆ‫ޕ‬ߪߣߥ߇ᚑ┙ߒ㧘߹

ߚฝㄝ╙ 2 㗄ߪήⷞߐࠇࠆ‫ޕ‬

3. ࠛࡀ࡞ࠡ࡯ᑼߩขࠅᛒ޿

(21)ߎߎߢߪ޿ࠈ޿ࠈߥࠤ࡯ࠬࠍᗐቯߒߡ㧘ࠛࡀ࡞ࠡ࡯
ᑼ (21) ߆ࠄߪᑼߩขࠅᛒ޿ߦߟ޿ߡᬌ⸛ߔࠆ‫ޕ‬ࠍ฽߻ᰴᑼߢ⴫ߐ

3 1 ኻᵹ㗄ߩ⴫⃻ࠇࠆ‫ޕ‬ߩᱜߒ޿⴫⃻ߪᑼ (23) ߦ޽ࠆࠃ߁ߦኻᵹ㗄ߢ޽ࠆ‫ޕ‬Ყᾲ৻ቯࠍ઒ቯ

ߔࠆ⁜⟵ߩℂᗐ᳇૕ߩ႐วߢߪ㧘ቯ࿶Ყᾲ

(22)

ࠍታ⾰ᓸ

ಽߩਛߦ޿ࠇߡ߽૗ࠄᏅߪ↢ߓߥ޿‫ߒ߆ߒޕ‬㧘‛ᕈ୯߇ᄌൻߔࠆᵹ૕ߩ႐วߦߪኻᵹ㗄ߩขࠅᛒ޿ߦᵈᗧ߇ߎߩ⚿ᨐࠍᑼ (8) ߦઍ౉ߔࠇ᷷߫ᐲ

ᔅⷐߢ޽ࠆ‫ޕ‬ᑼ (23) ߩᏀㄝߪ㧘ㅪ⛯ߩᑼ (3) ࠍ೑↪ߒ

ߣቯ࿶Ყᾲ

ߡ

ߢ⴫ߐࠇߚࠛࡀ࡞ࠡ࡯ᑼ߇ᰴߩࠃ߁ߦᓧࠄࠇࠆ [3]‫ޕ‬(23)

વᾲ 2004 ᐕ 1 ᦬ߣࠍታ⾰ᓸಽߩਛߦ౉ࠇࠇ߫ᰴᑼߣߥࠆ [3]‫ޕ‬

(27)

- 28-

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻޽ࠆ޿ߪ㧘ᑼ (23) ߩᏀㄝߪᰴߩࠃ߁ߦᦠߊߎߣ߽ߢ

ߡ

߈ࠆ‫ޕ‬

ߦ߅ߌࠆᲧᾲߣߒߡ

ߣߔࠇ߫㧘᷷ᐲ⴫␜ߐࠇߚࠛࡀ࡞ࠡ࡯ᑼ
ࠍណ↪ߢ߈ࠆ‫ޕ‬Eckert & Drake[4] ߢߪ㧘‛ᕈ୯৻ቯߩᵹ૕ߦኻߔࠆ㑐ଥᑼߪ㧘ᑼਛߩᲧᾲ߇ ((28)ߟ߹ࠅ㧘ቯ࿶Ყᾲ

ߩᄌൻ߇ᄢ߈޿႐วߦߪᑼ (28) ߩฝㄝ╙ 3 㗄ࠍήⷞߔࠆߎߣߪߢ߈ߥ޿‫ߡߞ߇ߚߒޕ‬㧘ᦨೋߦㅀߴߚࠃ߁ߦ㧘ߣߥߞߡ㧘ᓟ⠪ߪߩᄌൻ߇ዊߐ޿႐วߩㄭૃ⊛ߥ⴫⃻ߦߥࠆ‫ޕ‬ⓨ᳇ߩߪ㧘ᄢ᳇࿶ਅߩ 300 K ߢ 1005.7

J/(kg K)㧘2000 K ߢ 1338 J/ (kg K) ߢ޽ࠅ [4]㧘߆ߥࠅߢߪߥߊ)ߢ⴫␜ߐࠇࠆߣ߈㧘⃻ታߩᵹ૕ߩታ㓙⊛ߥ᧦ઙࠍ޿ߊࠄ߆⦟ߊ⴫ߔߣㅀߴࠄࠇߡ
޿ࠆ‫ޕ‬

3 3 ℂᗐ᳇૕ߩ႐ว

ℂᗐ᳇૕ߩ⁁ᘒᣇ⒟ᑼߪ

ᰴᑼߢਈ߃ࠄࠇࠆ‫ޕ‬

(31)

߹ߚߪ
ߎߎߢ

ߪ᳇૕ቯᢙߢ޽ࠆ‫ޕ‬ᑼ (31) ߦࠃࠅ㧘ᑼ (19)ᄢ߈ߊᄌൻߔࠆ‫ߡߞ߇ߚߒޕ‬㧘㜞᷷ⓨ᳇ᵹߩ⸃ᨆߢߪ

ߣᑼ (23) ߩฝㄝ╙ 2 㗄ߩଥᢙߪᰴᑼߩࠃ߁ߦ◲නߦࠛࡀ࡞ࠡ࡯ᑼߩኻᵹ㗄ߩ⴫⃻ߦ෩ኒߐ߇ⷐ᳞ߐࠇࠆ‫ޕ‬ߥࠆ‫ޕ‬Ყᾲ߇᷷ᐲߩߺߩ㑐ᢙߣߥࠆᐢ⟵ߩℂᗐ᳇૕ߢߪ㧘એ
ਅߩࠃ߁ߦ

ࠍ

ߩ৻ቯ୯ߢਈ߃ࠆߎߣߢ㧘ࠛࡀ(32)࡞ࠡ࡯ᑼߩขࠅᛒ޿ࠍㄭૃߢߪ޽ࠆ߇◲⇛ߦߔࠆࠕࡊ
ࡠ࡯࠴߇޽ࠆ‫ޕ‬(29)
3 2 㕖࿶❗ᕈᵹ૕ߩ႐ว

ߎߩ⚿ᨐ߆ࠄℂᗐ᳇૕ߩࠛࡀ࡞ࠡ࡯ᑼߪᰴߩࠃ߁ߦߥࠆ‫ޕ‬㕖࿶❗ᕈᵹ૕ߢߪኒ

(33)(޽ࠆ޿ߪᲧ૕Ⓧ ) ߇৻ቯߣߺߥߖࠆ߆ࠄ 㧘ᑼ(1) ߩᏀㄝ╙ 2 㗄ߪ㔖ߦߥࠆ‫৻ޕ‬ᣇ㧘ᑼ (2) ߩ╙ 2 㗄ߪᐲߣᱷࠆ‫ߪࠇߎޕ‬㧘(34)

ߥࠆ [2] [9] ߎߣ߆ࠄ᣿ࠄ߆ߢ޽ࠆ‫ޕ‬࿶ജᄌൻ߇ήⷞߢ
ߣߥࠆ‫ޕ‬

ᾲવዉߣᵹ૕៺ᡂ߇ήⷞߢ߈ࠆ႐ว㧘ߟ߹ࠅᑼ (33) ߩ

417.36 kJ/kg㧘ฝㄝ╙ 1 㗄ߣ╙ 3 㗄߇ߥ޿႐วߦߪ㧘⁁ᘒᣇ⒟ᑼ (31)417.46 kJ/kg ߣ߶߷৻⥌ߔࠆ‫ߚ߹ޕ‬㧘10 MPa ߣ޿
1393.0 kJ/kg㧘 1407.6 kJ/kg߁㜞࿶ߩ㘻๺᳓ߢ߽

╙ 2 ᑼߩኻᢙᓸಽߦᑼ (33) ࠍઍ౉ߒ㧘ࡑࠗࡗ࡯ߩ㑐ଥ

ߣ 1% ⒟ᐲߩᏅߒ߆ߥߊ㧘ߩ㑐ଥ߇޽ࠆߎߣ߇ࠊ߆ࠆ‫ޕ‬߈ࠆ႐ว߿ኒᐲ߇ᄢ߈޿ᶧ૕ߥߤߢߪ
ߚߣ߃߫㧘0.1 MPa ߩ㘻๺᳓ߩ႐ว

ߣߒߡࠃ޿ߎߣ߇ࠊ

ࠍ↪޿ࠇ߫㧘

ߣ

ߦᰴ

߆ࠆ‫ޕ‬
㕖࿶❗ᕈᵹ૕ߢߪ

㧘ߣ߅ߊ߆ࠄ㧘᷷ᐲ⴫␜ߐࠇߚࠛࡀ࡞ࠡ࡯ᑼ (19)㧘(23) ߩฝㄝ╙2 㗄ߪߣ߽ߦ㔖ߦߥࠆ‫ࠅ߹ߟޕ‬㧘৻⥸ߦ㧘ᶧ૕߿࿕૕ߩᲧᾲߩ᷹ቯߢߪ

ߢ޽ࠆ‫ޕ‬
߇᷹ቯߐࠇ㧘

ߪ๟⍮ߩᰴᑼ߆ࠄ⸘▚ߐࠇࠆ‫ޕ‬

(35)

(30)
ߎߎߢ

ߪ╬᷷࿶❗₸⃻ታߩ࿕૕߿ᶧ૕ߢߪ

ࠍ␜ߔ‫ޕ‬
ߣߩᏅߪ

ߩ 3 10%(ጤᵄ ℂൻቇㄉౖ) ߦߥࠆ߇㧘ߎߩ⒟ᐲߩᏅࠍήⷞߒ
ቢోߥ㕖࿶❗ᕈᵹ૕ߢߪ㧘ᵹ૕࿶ജߪᾲജቇ⊛ߥᄌᢙ (࿶ജ) ߣߪ޿߃ߥߊߥࠆ [7]‫ޕ‬ߎߎߢ㧘 ߪᲧᾲᲧ

ࠍ␜ߔ‫߈ߣߩߎޕ‬㧘ᑼ (34)ߪߣߥߞߡ㧘ᒰὼߩߎߣߥ߇ࠄᑼ (33)ߣᑼ (34) ߪᢛวߔࠆ‫ޕ‬ℂᗐ᳇૕ߢߪ

㧘ߢ޽ࠅ㧘ᑼ (1), (2) ߩᏀㄝ╙ 2 㗄ߪᑼ (33),                       -29-            Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻(34) ߩฝㄝ╙ 2 㗄ߦߘࠇߙࠇ⋧ᒰߔࠆ‫ߡߞ߇ߚߒޕ‬㧘ߢ㑐ଥߠߌࠆ‫ޕ‬ᵹㅦ߇㖸ㅦࠃࠅචಽዊߐ޿႐ว (ㅢᏱ㧘

ᑼ (35) ߩ⚿ᨐ߆ࠄ㧘ᾲવዉߣᵹ૕៺ᡂ߇ߥ޿ (╬ࠛࡦ) ߦߪ㧘਄⸥ߩૐࡑ࠶ࡂᢙㄭૃࠍㆡ↪ߢ߈ߡ㖸ᵄߩᓇ㗀ߪឃ㒰ߐࠇࠆ‫⚿ߩߘޕ‬ᨐ㧘ࠛࡀ࡞ࠡ࡯ᑼߦ

࠻ࡠࡇᄌൻߩ) ႐วߦߪ㧘
ߪᲧᾲᲧ

ߣ

ߩᲧ

߅ߌࠆേ⊛ߥ࿶ജ

ߣߥߞߡ㧘ߎࠇࠄߪ߶߷หߓࠝ࡯࠳ߩ㊂ߢ

╙2㗄޽ࠆߎߣ߇ࠊ߆ࠆ‫ޕ‬ߪߩነਈߪήⷞߐࠇߡ㧘ᑼ (34) ߩߣߐࠇࠆ‫ޕ‬ᦨᓟߦ㧘ᑼ (33), (34) ߩฝㄝᦨ⚳㗄⃻ታߩ♽ߢߪᾲવዉ߿ᵹ૕៺ᡂ߇ሽ࿷ߔࠆ߆ࠄ㧘╬ࠛࡦ࠻ࡠࡇᄌൻߪታ⃻ߒߥ޿‫ޕ‬ᑼ (1) ߩᏀㄝ╙ 2 㗄 [ᑼߩᓇ㗀ߦߟ޿

ߡᬌ⸛ߔࠆ‫ߩߎޕ‬㗄ߪᵹ૕៺ᡂߦࠃࠆ⊒ᾲࠍ⴫ߒߡ޿

(33) ߩฝㄝ╙ 2 㗄] ߪන૏ᤨ㑆࡮න૏૕Ⓧ޽ߚࠅߩ૕

ࠆ߇㧘ᑼ (7) ߢߪήⷞߐࠇߡ޿ࠆ‫ߩߎޕ‬㗄߇ήⷞߢ߈

Ⓧᄌൻ઀੐ࠍ⴫ߒߡ߅ࠅ㧘ᵹ૕ߩኒᐲᄌൻ߇ᄢ߈ߌࠇ

ࠆ߆ุ߆ߪᰴߩ Eckert ᢙߦࠃࠅ್ᢿߐࠇࠆ [4]‫ޕ‬߫ήⷞߢ߈ߥ޿‫৻ޕ‬ᣇ㧘ߘߩࠃ߁ߥ႐วߢ߽㧘ᵹㅦ߇(39)㜞ߊߥߌࠇ߫㧘ᑼ (2) ߩᏀㄝ╙ 2 㗄 [ᑼ (34) ߩฝㄝ╙2 㗄] ߩᓇ㗀ߪዊߐ޿ߎߣ߇ᦼᓙߢ߈ࠆ‫ࠇࠊ૶ߊࠃޕ‬ߎߎߢ㧘 ,

ࠆࠛࡀ࡞ࠡ࡯ᑼ (7) ߢߪ㧘ᑼ (34) ߦ߅޿ߡߣߒ㧘߹ߚฝㄝߩ╙ 2 㗄ߣ╙ 3 㗄߇ήⷞߐࠇߡ޿ߡ㧘ታ㓙ߦᛒ޿߿ߔ޿ᒻߦߥߞߡ޿ࠆ‫ߩߎޕ‬ᒻᑼߩᅷᒰᕈ
ߦߟ޿ߡએਅߢᬌ⸛ߔࠆ‫ޕ‬ᵹ૕ߩኒᐲߦᄌൻ߇޽ߞߡ߽ᵹࠇߩㅦᐲ߇㖸ㅦߦᲧ,ߪߘࠇߙࠇઍ⴫ߣߔࠆㅦᐲ㧘ቯ࿶Ყᾲ㧘᷷ᐲᏅߢ޽ࠆ‫ޕ‬Ecߦ߅ߌࠆߩ႐วߦߪࠛࡀ࡞ࠡ࡯ᑼ

ߩᓇ㗀ߪήⷞߢ߈ߥߊߥࠆ [4]‫߫߃ߣߚޕ‬㧘

᷷ᐲᏅ 100 K ߩવᾲ᧦ઙߢⓨ᳇ [J/(kg K)] ߇ᵹㅦ 300 m/s ߢᵹࠇߡ޿ࠆߣ߈

ߣߥࠆ‫ޕ‬หߓવᾲ᧦ઙਅߢ߽ᵹㅦ 30 m/s ߢߪߴߡචಽዊߐ޿႐วߦߪ㧘ૐࡑ࠶ࡂᢙㄭૃ (low-Machnumber approximation) ߇ㆡ↪ߢ߈ࠆ [10]‫߈ߣߩߎޕ‬㧘࿶ജ ߪᰴߩࠃ߁ߦಽ⸃ߐࠇࠆ‫ޕ‬ߎߩࠃ߁ߦ㧘ᵹㅦ߇㖸ㅦߦㄭߊߥࠆߣᵹ૕៺ᡂߦࠃࠆ
⊒ᾲߩᓇ㗀ߪήⷞߢ߈ߥ޿‫ޕ‬ㅒߦ޿߃߫㧘ૐࡑ࠶ࡂᢙ
ㄭૃ߇᦭ലߢ޽ࠆࠃ߁ߥᵹࠇߦ߅޿ߡߪ㧘㕖Ᏹߦዊߐߥ᷷ᐲᏅߩ⃻⽎ࠍขࠅᛒ߁ߩߢߥߌࠇ߫

(36)ߣߥࠆ‫ޕ‬

ࠍήⷞߒߡࠃ޿ߣ⠨߃ࠄࠇࠆ‫ޕ‬ታ㛎ቶ࡟ࡌ࡞ߩㅢᏱߩવᾲታ㛎ߎߎߢ㧘ߪᾲജቇ⊛ߥ࿶ജߢ޽ࠅᤨ㑆 ߩߺߩ㑐ᢙߢߪߎࠇࠄߩᓇ㗀ࠍ⠨ᘦߦ౉ࠇࠆᔅⷐߪߥߊ㧘ᑼ (7)ߢ޽ࠆ‫ޕ‬

ߪᵹ૕ߩㆇേߦ⺃⿠ߐࠇࠆേ⊛ߥ࿶ജߢࠍ೑↪ߢ߈ࠆ‫ޕ‬޽ࠅᤨⓨ㑆⊛ߦᄌേߔࠆ‫ޕ‬

ߩࠝ࡯࠳ࠍ

ߣߔࠆ

4. ࠛࡀ࡞ࠡ࡯ᑼࠍᎼߞߡ( 㧦ࡑ࠶ࡂᢙ) ߢ޽ࠅ㧘ߪㆇേᣇ⒟ᑼ (6) ߩ࿶ജ൨㈩㗄ߦ෻ᤋߐࠇࠆ‫ޕ‬

ߣ߈㧘

ߩߘࠇߪ

ᒝ೙ኻᵹߢߪㅦᐲ႐߇ਈ߃ࠄࠇࠇ᷷߫ᐲ႐ߪฃേ⊛ࠛࡦࠫࡦ╴ౝߩΆ὾ߩࠃ߁ߦ㐽ߓߚⓨ㑆ߢᄢ߈ߥ⊒ᾲ߇޽ࠆࠃ߁ߥ႐ว [11] ࠍ㒰ߌ߫㧘ߦ᳿ቯߐࠇࠆ‫৻ޕ‬ᣇ㧘⥄ὼኻᵹߩࠃ߁ߦᶋജߢ㚟േߐߪ৻ቯߣߐࠇ

ࠇࠆᵹࠇߢߪ㧘ㅦᐲ႐ߣ᷷ᐲ႐ߦߘߩࠃ߁ߥ৻ᣇ⊛ߥࠆ [12]‫ߚ߹ޕ‬㧘ⓨ㑆ࠬࠤ࡯࡞߇ 1 km ߩࠝ࡯࠳ࠍߎ߃

㑐ଥߪᚑ┙ߒߥ޿‫ޕ‬Tsuji, Nagano ࠄߪ㧘ု⋥ᐔ᧼⥄ὼߥ޿ⷙᮨߩᾲᵹ૕⸃ᨆߢߪ㧘 ߪኻᵹੂᵹႺ⇇ጀ (ⓨ᳇) ߩౝጀߩੂᵹ᭴ㅧ߇ᒝ೙ኻᵹߩ
ߘࠇߣߪ㕖Ᏹߦ⇣ߥࠆߎߣࠍㅊ᳞ߔࠆਛߢ㧘ᑼ (34) ߩ(37)ߪၮḰߩኒᐲ㧘 ߪ㊀ജߦ⋥ធᄌ឵ߐࠇࠆࡊࡠ࠮ࠬ߇޽ࠆߎߣࠍ⷗޿಴ߒߚ

ߪ㊀ജ߇૞↪ߔࠆᣇะߩⓨ㑆ᐳᮡߢ޽ࠆ‫ޕ‬[13]‫ޕ‬߇฽߹ࠇߥ޿ᑼ (7) ߢߪߎߩࠃ߁ߥࠛࡀ
࡞ࠡ࡯ᄌ឵ߩㆊ⒟ࠍℂ⸃ߔࠆߎߣߪߢ߈ߥ޿‫ޕ‬ᵹㅦ 1ߣಽ⸃ߐࠇࠆ‫ߢߎߎޕ‬㧘ടㅦᐲ㧘ߩ㗄ࠍㅢߒߡᾲࠛࡀ࡞ࠡ࡯߇ੂᵹࠛࡀ࡞ࠡ࡯

ᑼ (37) ߩฝㄝ╙ 2 㗄ߪ㊀ജߦࠃࠆࡐ࠹ࡦࠪࡖ࡞ߩᓇ

m/s ߩᏱ᷷ⓨ᳇߇߽ߟㆇേࠛࡀ࡞ࠡ࡯ߪ࿶ജ឵▚ߢࠊ
ߕ߆ߦ 0.6 Pa ߢ޽ࠆ‫ߩߎޕ‬ᄢ߈ߐߪࠛࡀ࡞ࠡ࡯ᑼߩ෼

㗀ࠍ⴫ߔ‫ޕ‬ૐࡑ࠶ࡂᢙㄭૃߢߪ㧘ࠛࡀ࡞ࠡ࡯ᑼ߅ࠃ߮ℂᗐ᳇૕ߩ⁁ᘒᣇ⒟ᑼߦ⃻ࠇࠆ࿶ജ឵ߒߡ㧘ኒᐲ

ߣ᷷ᐲࠍᾲജቇ⊛࿶ജ

ᡰߦ߅޿ߡߪήⷞߒ߁ࠆ߽ߩߢ޽ࠆ߇㧘ㅦᐲ႐ߦߪᡰ

ߢ⟎㈩⊛ߥᓎഀࠍ߽ߟ‫ߦ߁ࠃߩߎޕ‬㧘ᢙ୯⸃ᨆߢߪήⷞߢ

ࠍ߈ࠆ㗄ߢ߽㧘⃻⽎ࠍℂ⸃ߔࠆㆊ⒟ߢߪᧄ⾰⊛ߥᓎഀࠍ(38)ߔࠆߎߣ߇޽ࠆ‫ޕ‬ߎࠇ߹ߢขࠅ਄ߍߡ߈ߚ⚐‛⾰ߩࠛࡀ࡞ࠡ࡯ᑼߣ

વᾲ 2004 ᐕ 1 ᦬- 30-વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ߪ⇣ߥࠅ㧘Ά὾ߩࠃ߁ߥ᳇⋧෻ᔕ♽ߢ૶ࠊࠇࠆࠛࡀ࡞
ࠡ࡯ᑼߪ㕖Ᏹߦⶄ㔀ߢ޽ࠆ [8] [10] [11]‫ޕ‬Ά὾႐ߢߩ
ᾲᵹ᧤ߪ㧘1) ᾲવዉ㧘2) ൻቇ⒳ߩಽሶ᜛ᢔߦࠃࠆࠛ
ࡦ࠲࡞ࡇャㅍ㧘3) Ớᐲ൨㈩ߦࠃࠅ㚟േߐࠇࠆᾲ᜛ᢔ

(Dufour ലᨐ)㧘4) ᡼኿ᾲᵹ᧤߆ࠄߥࠆ߇㧘3) ߣ 4) ߪㅢᏱߪ⋭⇛ߐࠇࠆ‫ޕ‬Ά὾⸃ᨆߢ૶ࠊࠇࠆࠛࡀ࡞ࠡ࡯ᑼ
ߪࠛࡦ࠲࡞ࡇ

߹ߚߪ᷷ᐲߢ⴫␜ߐࠇࠆߎߣ߇ᄙ

޿‫ޕ‬Ά὾෻ᔕߪ᷷ᐲߩ਄᣹ߦߣ߽ߥߞߡᜰᢙ㑐ᢙ⊛ߦ෻ᔕ߇ㅦߊㅴⴕߔࠆᒝ޿㕖✢ᒻᕈࠍ߽ߟ߆ࠄ㧘႐ߩ᷷ᐲࠍ㜞♖ᐲߢ᳞߼ࠆᔅⷐ߇޽ࠆ‫ޕ‬Ά὾႐ߪᄙߊߩൻቇ⒳ߩャㅍㆊ⒟ࠍ઻߁ߎߣ߆ࠄ㧘ࠛࡀ࡞ࠡ࡯ᑼࠍࠛࡦ࠲
࡞ࡇߢ⴫ߔߣ㧘㜞޿♖ᐲߢ᷷ᐲࠍ᳞߼ࠆߦߪ⤘ᄢߥ෻ᓳ⸘▚߇ᔅⷐߢ޽ࠆ [11]‫ޕ‬ችౝ࡮ᐫᯅߪ᷷ᐲߢ㓁ߦ⴫␜ߐࠇߚࠛࡀ࡞ࠡ࡯ᑼࠍዉ಴ߔࠆߎߣߦࠃࠅߎߩ໧㗴ࠍ⸃᳿ߒ㧘ੂᵹΆ὾ߩ DNS ߦᚑഞߒߡ޿ࠆ [11]‫ੂޕ‬ᵹߩࡕ࠺࡝ࡦࠣߦ߅޿ߡߪ㧘ࡕ࠺࡞ൻߩኻ⽎ࠍࠛࡦ࠲࡞ࡇ⴫␜ߐࠇߚࠛࡀ࡞ࠡ࡯ᑼߣߔࠆߩ߆㧘᷷ᐲ⴫␜ߩ
ࠛࡀ࡞ࠡ࡯ᑼߣߔࠆ߆ߪ⃻⽎⺰⊛ࡕ࠺࡝ࡦࠣߩၮ␆ߦ

⻢ㄉᧄⓂߩၫ╩ߦ޽ߚࠅߏഥ⸒ࠍ޿ߚߛ޿ߚฬฎደᎿᬺ
ᄢቇᢎ᝼ 㐳㊁㕏ዏవ↢ߦᷓ⻢ߔࠆ‫ޕ‬ᢥ

₂[1] ⷏Ꮉ౗ᐽ㧘વᾲ⎇ⓥ㧘22-84 (1983), 17–19. (ᣣᧄવᾲቇ
ળ 40 ๟ᐕ⸥ᔨ CD-ROM)[2] ᫪ᐽᄦ࡮࿯ᣇ㇌ᄦ㧘‫ޟ‬ᵹࠇߣᾲߩᎿቇ II‫ޠ‬㧘౒┙಴
(1977).
[3] Bird, R. B., Stewart, W. E. and Lightfoot, E. N., Transport
Phenomena, John Wiley & Sons (1960).
[4] Eckert, E. R. G. and Drake, R. M., Analysis of Heat andMass Transfer, McGraw-Hill (1972).
‫ޟ‬ᵹ૕[5] ࠛ࡝࡮࡜ࡦ࠳࠙㧘ࠗࠚ࡮࡝ࡈࠪ࠶࠷㧘(┻ౝဋ ⸶)㧘
ജቇ 1‫ޠ‬㧘᧲੩࿑ᦠ (1971).

[6] ࠕ࡯࡮ࠛࠬ࡮ࡕ࡯࠾ࡦ㧘ࠕ࡯࡮ࠛࡓ࡮ࡗࠣࡠࡓ㧘(ጊ↰‫⸘⛔ޟ‬ᵹ૕ജቇ 1‫ޠ‬㧘✚ว࿑ᦠ (1975).
⼾৻ ⸶)㧘
[7] Warsi, Z. U. A., Fluid Dynamics — Theoretical andComputational Approaches (2nd Ed.), CRC-Press (1999).

߆߆ࠊࠆ㊀ⷐߥ໧㗴ߢ߽޽ࠆ [14]‫ޕ‬[8] Kuo, K. K., Principles of Combustion, John Wiley & Sons
(1986).

5. ߅[9] Kays, W. M., Convective Heat and Mass Transfer,
McGraw-Hill (1966).

ࠊ

ࠅ

ߦ

‫࡯ࠡ࡞ࡀࠛޟ‬ᑼࠍᎼࠆ‫ߣޠ‬㗴ߒߡ⹤ࠍ߹ߣ߼ࠃ߁ߣ
⹜ߺߚ߇㧘ᓌᓲ߁ߎߣߦߥߞߡߒ߹ߞߚࠃ߁ߦᕁ߁‫ޕ‬[10] Williams, F. A., Combustion Theory,
jamin/Cummings Publishing (1985).

The Ben-⃻ታߦ↢⿠ߔࠆ⃻⽎ࠍቢోߦ⸥ㅀߢ߈ࠆᣇ⒟ᑼߪߥ޿

‫ޟ‬Ά὾ߩᢙ୯⸘▚‫ޠ‬㧘ਣༀ (2001).
[11] ᣣᧄᯏ᪾ቇળ㧘߆ࠄ㧘ᡰ㈩ᣇ⒟ᑼࠍ᭴ᚑߔࠆ㓙ߦߪ㧘⃻⽎ࠍන⚐ߦߒ[12] Libby, P. A. and Williams, F. A., Topics in Applied
Physics: Turbulent Reacting Flows, Springer (1980).

ℂᗐൻߔࠆ૞ᬺ߇ዉ౉ߐࠇࠆ‫ߚ߹ޕ‬㧘⸃ᨆᲑ㓏ߢߪ㧘
㊀ⷐᕈ߇ૐߊขࠅᛒ޿࿎㔍ߣ⷗ࠄࠇࠆ㗄ߪ⋭⇛ߐࠇࠆ‫ޕ‬ࠛࡀ࡞ࠡ࡯ᑼߢߪߎࠇࠄߩࡊࡠ࠮ࠬߪᄢᣇߦ߅޿ߡ߁
߹ߊᯏ⢻ߒߡ޿ࠆ‫ߒ߆ߒޕ‬㧘ήⷞߐࠇߚ㗄ߦߟ޿ߡߪ

[13] Tsuji, T., Nagano, Y. and Tagawa, M., Proc. 8th Symp. on
Turbulent Shear Flows (1991), 24.3.1–24.3.6.
[14] Tagawa, M., Matsubara, F. and Ohta, Y., Combustion and
Flame, 129 (2002), 151–163.

Ᏹߦᗧ⼂ߒߡ޿ࠆߎߣߪ᦭⋉ߢ޽ࠆߣᕁ߁‫ޕ‬                       -31-            Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻⥄ὼኻᵹߩߩߤߩዊ㛽A Short Review on Buoyancy Induced Flowsർ᧛ ஜਃ㧔⼾ᯅᛛⴚ⑼ቇᄢቇ㧕
Kenzo KITAMURA (Toyohashi Univ. of Tech.) ✜⸒
‫ޟ‬વᾲ‫✬ޠ‬㓸ᆔຬળ߆ࠄ㧘‫⥄ޟ‬ὼኻᵹߩၮ␆ᣇ⒟ᑼ‫ߦޠ‬㑐ߒߡߩߤߦᒁߞដ߆ࠆዊ㛽ࠍขࠅ਄ߍ㧘৻ᢥࠍߒߚߚ߼ࠃߣߩߏଐ㗬ࠍฃߌߚ㧚⑳߽✬㓸ᆔຬߩ৻ੱߢ޽ࠅ㧘⟵ോࠍᨐߚߔߴߊ߅ᒁ߈ฃߌ
ߒߚ߇㧘ర᧪߇ታ㛎ደߥ߽ߩߢᣇ⒟ᑼߥࠆ߽ߩߦ
ߪ⇹ߊ㧘޽߹ࠅ᳇ߩ೑޿ߚ⹤㗴ߪឭଏߢ߈ߘ߁ߦ
޽ࠅ߹ߖࠎ㧚ߘߎߢ㧘ၮ␆ᣇ⒟ᑼߩᣇߪᣧ‫ߦޘ‬ಾࠅ਄ߍ㧘߻ߒࠈታ㓙ߩ⥄ὼኻᵹ႐ߢߤߩࠃ߁ߥᣇ⒟ᑼࠍㆡ↪ߔߴ߈߆ߣ޿ߞߚ໧㗴߿㧘න⚐ߥ૕♽ߢ޽ࠅߥ߇ࠄ੹ߥ߅ᧂ⸃᳿ߩ໧㗴ߥߤߦߟ޿ߡ⚫
੺ߔࠆߎߣߦߒ߹ߔ㧚ᣣ㗃ߩਇീᒝ߇ߚߚࠅ㧘ේ
Ⓜਛߦߪ⪺⠪ߩ⺋⸃߿ℂ⸃ਇ⿷ߩὐ߇ᢙᄙߊ฽߹
ࠇߡ޿ࠆ߽ߩߣᕁ޿߹ߔ㧚੍߼ߏኈ⿔ߩ߶ߤ߅㗿޿ߒ߹ߔ㧚ߣߎࠈߢ㧘ᚒ‫ߩޘ‬૑ࠎߢ޿ࠆ࿾⃿ߩ㊀ജਅߢߪ㧘ᶋജߦࠃࠅ⺃⿠ߐࠇࠆᵹࠇߩᵹㅦߪ㧘ᒝ೙ኻᵹߩ
ᵹㅦߦᲧߴࠇ߫࿶ୟ⊛ߦㆃ޿㧚ᓥߞߡ㧘ߎࠇࠄ☼ᕈ ᢔ ㅺ P ) ߿ ࿶ ❗ ᕈ ߦ 㑐 ࠊ ࠆ 㗄 1 3 P(  V )ߪታ⾰⊛ߦήⷞߢ߈ࠆߣ⠨߃ࠄࠇࠆ㧚߹ߚ㧘ࠛࡀ࡞ࠡ࡯ᑼਛߩ࿶ജᄌൻ㗄 E T ( Dp / DW ) ߇໧㗴ߣߥࠆߩߪ㧘㐽㎮ⓨ㑆ਛߦᄢ߈ߥ᷷ᐲᏅ߇޽ࠅ㧘⓭⊒⊛ߦᒝ޿ኻᵹ߇⊒↢ߔࠆ႐ว㧘଀߃߫࠲࡯ࡆࡦ
ࠍㆇォߒᆎ߼ߚߣ߈ߩࡉ࡟࡯࠼ౝ಄ළ᳇૕ߩᵹࠇ
ߥߤߏߊ․ᱶߥ႐วߦ㒢ࠄࠇࠆ㧚ߎߩߎߣ߆ࠄታ↪⊛ߥᗧ๧ߢߩ෩ኒߥᡰ㈩ᣇ⒟ᑼߪ㧘ߎࠇࠄߩ㗄ࠍ㒰޿ߚએਅߩᑼߣ⠨߃ߡ⦟޿㧚㧔ㅪ⛯ߩᑼ㧕

DU
DW&
 U  V  㨯㨯㨯㨯㨯㨯㨯㨯 (4)㧔ㆇേ㊂ᑼ㧕

&DV
U
DW

⥄ὼኻᵹߩၮ␆ᣇ⒟ᑼߦߟ޿ߡ
ߐߡ㧘⥄ὼኻᵹߩᢎ⑼ᦠ㧘ߚߣ߃߫ Gebhart ࠄߩ⪺ᦠ(1)ࠍ߽߭⸃ߊߣ㧘એਅߩࠃ߁ߥ⥄ὼኻᵹߩ৻⥸ၮ␆ᑼ߇⚫੺ߐࠇߡ޿ࠆ㧚㧔ㅪ⛯ߩᑼ㧕

DU
DW&
 U  V   UC p㨯㨯㨯㨯㨯㨯㨯㨯 (1)

&

&

1
3

&

Ug  p  P 2V  P(  V )㨯㨯㨯㨯㨯㨯㨯 (2)㧔ࠛࡀ࡞ࠡ࡯ᑼ㧕

UC p

Dt
DW

O 2 t  ET

Dp
 P)
DW

㨯㨯㨯 (3)ߥ߅㧘਄ᑼߢߪ◲නߩߚ߼ኒᐲ U એᄖߩ‛ᕈ୯&ߪ৻ቯߣߒߡ޿ࠆ㧚ߎߎߢ㧘V (u , v, w) ߪㅦᐲࡌࠢ࠻࡞㧘㨠߅ࠃ߮ T ߪ⋧ኻ᷷ᐲ߅ࠃ߮⛘ኻ᷷ᐲߢ޽ࠆ㧚਄ᑼ(1)㨪(3)ߪᵹ૕ߩ࿶❗ᕈࠍ⠨ᘦߒߚᑼߢ㧘
ᑼ(2)ߩฝㄝ╙㧟㗄ߪ࿶❗㧔૕Ⓧ߭ߕߺ㧕ߦࠃࠆ㗄㧘߹ߚ㧘ᑼ(3)ฝㄝ╙㧞㗄ߪ৻⥸⊛ߥᔕജ̆ᱡߺ⋧㑐ᑼ߆ࠄዉ಴ߐࠇࠆ࿶ജ㗄㧘╙㧟㗄ߪ☼ᕈᢔㅺߦ㑐ࠊࠆ㗄ߢ޽ࠆ㧚વᾲ 2004 ᐕ 1 ᦬㨯㨯㨯㨯㨯㨯㨯 (5)㧔ࠛࡀ࡞ࠡ࡯ᑼ㧕㧔ㆇേ㊂ᑼ㧕

&
DV
U
DW

&

&

Ug  p  P 2V

- 32-

Dt
DW

O 2 t    㨯㨯㨯㨯㨯㨯 (6)ߎࠇࠄߩᑼߣ㧘ኒᐲǹࠍ᷷ᐲ T ߅ࠃ߮࿶ജ p ߩ㑐ᢙߣߒߡⷙቯߔࠆᑼ㧘଀߃߫ℂᗐ᳇૕ߢߪ⁁ᘒ
ᣇ⒟ᑼ p U RT ࠍ⚵ߺวࠊߖߡ㧘ᑼ߇⸃߆ࠇࠆ㧚 ߣߎࠈߢ㧘਄ᑼ(4)㨪(6)ߪㆇേ㊂ᑼ(5)ਛߩฝㄝ╙&㧝㗄ߩ㊀ജ㗄 U g ࠍ⠨ᘦߔࠆ߆ุ߆ࠍ㒰޿ߡ㧘ၮᧄ⊛ߦᒝ೙ኻᵹߢណ↪ߐࠇߡ޿ࠆᑼߣห৻ߢ޽ࠆ㧚ᓥߞߡ㧘⥄ὼኻᵹߦ࿕᦭ߩ໧㗴ߪ㧘ߔߴߡߎߩ㊀&ജ㗄 U g 㧘߽ߒߊߪ㊀ജ㗄ߣ࿶ജ㗄ߣߩ๺ߢ޽ࠆ
&U g  p ࠍߤߩࠃ߁ߦ⹏ଔߔࠆ߆ߦដ߆ߞߡ޿
&ࠆ㧚ߘߎߢᧄⓂߢߪ㧘߹ߕߎߩ U g  p ߩ⹏ଔ߆ࠄᆎ߼ࠆ㧚ߐߡ㧘♽ߩ࿶ജ p ࠍ㕒࿶ p h ߣᵹ૕ߩ&ㆇേߦ઻߁࿶ജᄌൻ p m ߦಽ⸃ߔࠆߣ㧘 U g  pߪએਅߩࠃ߁ߦ⴫ߖࠆ㧚&Ug  p&Ug   p h   ( p  p h )&Ug   p h   p m㨯㨯㨯㨯㨯(7)ߎߎߢ㧘ᵹ૕ߩઍ⴫ኒᐲࠍ U r ߣ߅ߊߣ㧘㕒࿶ߪવᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻&&p h gU r ߢ ⴫ ߖ ࠆ ߆ ࠄ 㧘 ᑼ (7) ߪ Ug  p &g ( U  U r )  p m ߣߥࠆ㧚ߎࠇࠃࠅ㧘ᑼ(5)ߪᰴ

pmߒ㧘ᑼࠍᄌᒻ㧘ᢛℂߔࠆߣ㧘એਅߩࠃ߁ߥ㑐ଥᑼࠍᓧࠆ㧚ߩࠃ߁ߦᦠ߈ᦧ߃ࠄࠇࠆ㧚

&
DV
U
DW

gL( U f  U ) ߢ⴫ߖࠆ㧚ߎࠇࠍ਄ᑼ(10)ߦઍ౉

&&g ( U  U r )  p m  P 2V 㨯㨯㨯㨯㨯㨯㨯(8)

U f  U ­ gEL>1  E (t  t f )@½¾
®1 
U ¯
R
¿
E (t  t f ) ASM     㨯㨯㨯㨯㨯(11)1  E (t  t f )&਄ᑼ(8)ߩฝㄝ╙৻㗄g U  U r ߇޿ࠊࠁࠆᶋജ
&㗄 B ߣ๭߫ࠇࠆ߽ߩߢ޽ࠆ㧚ߐߡ㧘ߎߎߢടᾲߐࠇߚ‛૕߇৻᭽ߥ᷷ᐲ t f ߅ࠃ߮ኒᐲ U f ߩ๟࿐ᵹ૕ߦขࠅ࿐߹ࠇߡ޿ࠆ႐ว
ࠍ⠨߃ࠆ㧚ߎߩߣ߈ᵹ૕ߩઍ⴫ኒᐲߪ U r U f ߢ&&⴫ߐࠇ㧘ᑼ(8)ฝㄝ╙㧝㗄ߪ B  g ( U f  U ) ߣߥࠆ㧚ߎߎߢ㧘ᵹ૕ߩኒᐲ U ߪ৻⥸ߦ᷷ᐲ t ߅ࠃ߮࿶ജ p ߩ㑐ᢙ㧘ߔߥࠊߜ U U (t , p ) ߣߥࠆߎߣ
߆ࠄ㧘 ( U f  U ) ߪએਅߩࠃ߁ߦዷ㐿ߢ߈ࠆ㧚ߐߡ㧘਄ᑼࠃࠅ㜞ᰴߩઃട㗄 ASM ࠍήⷞߔࠆ
ߣ㧘 C1 gEL / R ߅ࠃ߮ C 2 E (t  t f ) ߇㧝ߦᲧߴߡචಽዊߐ޿㧘හߜ C1 㧘 C 2 <<1 ߩߣ߈㧘Ꮐㄝ㧩 U f  U U

E (t  t f ) 㧩ฝㄝ 㨯㨯(12)ߣߥࠆߎߣ߇ಽ߆ࠆ㧚ߎߎߢ㧘C1 ߪᵹേߦ઻߁࿶
ജᄌൻ߇ᵹ૕ߩኒᐲ U ߦ෸߷ߔᓇ㗀ࠍ㧘߹ߚ C 2 ߪ㧘ᵹ૕ߩ᷷ᐲᄌൻ (t  t f ) ߇ኒᐲ U ߦ෸߷ߔᓇ㗀ࠍ2
ߘ ࠇ ߙ ࠇ ⴫ ߒ ߡ ޿ ࠆ 㧚 ਄ ᑼ (12) ߪ ޿ ࠊ ࠁ ࠆ
1 § wU ·§ wU ·
U f  U ¨ ¸ (t  t f )  ¨ ¸ (t  t f ) 2  Boussinesq ㄭૃߣ๭߫ࠇࠆ߽ߩߢ㧘ㅒߦ޿߃߫㧘
2! © wt ¹ p© wt ¹ p
Boussinesq ㄭૃ߇ᚑ┙ߔࠆߚ߼ߦߪ㧘C1 <<1 ߆ߟ
C <<1 ߥࠆ᧦ઙࠍหᤨߦḩ⿷ߔࠆᔅⷐ߇޽ࠆߎ
§ wU ·
1 § wU · ¨¨ ¸¸ ( p f  p )  ¨¨ ¸¸ ( p f  p ) 2       2ߣࠍ␜ߒߡ޿ࠆ㧚
2! © wp ¹ t© wp ¹ t
એ਄ߪℂᗐ᳇૕ߩ႐วߢ޽ࠆ߇㧘ᵹ૕߇ᶧ૕ߩ
2႐วࠍ฽߼ߡ Gebhart(1)ߪᑼ(4)㧘(8)㧘(6)ߩฦ㗄ߩw U
㨯㨯㨯㨯(9)(t f  t )( pf  p)    ࠝ࡯࠳࠴ࠚ࠶ࠢࠍⴕ޿㧘એਅߩ႐วߦߟ޿ߡฦᑼ㧘wtwp
㗄ߩㄭૃ߿⋭⇛߇น⢻ߥߎߣࠍ␜ߒߡ޿ࠆ㧚ߎߎߢ㧘ᵹ૕ߩ࿶ജᄌൻߦ઻߁ኒᐲᄌൻ߇ᦨ߽
(i) C 2 <<1 ߩߣ߈ψᑼ(4), (8), (6)ਛߩኒᐲǹߪ໧㗴ߣߥࠆℂᗐ᳇૕ߦߟ޿ߡ⠨߃ࠆ㧚ℂᗐ᳇૕ߢㆡᒰߥ৻ቯ୯ߢઍ⴫ߢ߈ࠆ㧚ߪ⁁ᘒᣇ⒟ᑼ p U RT 㧘߅ࠃ߮૕⤘ᒛ₸(ii) C2 ߩ୯߇㊀ജᣇะߦ৻ቯ߽ߒߊߪᄢ߈ߊ
&ᄌൻߒߥ޿ߣ߈ψᑼ(4)Ꮐㄝਛߩ VU ߩ㗄ߪήⷞ
1 § wU ·1 ߥࠆ㑐ଥ߇ᚑ┙ߔࠆ㧚E  ¨ ¸ߢ߈ࠆ㧚U © wt ¹ p Tߎࠇࠄߩ઒ቯ߇ᚑ┙ߔࠆߣ߈㧘ᚒ‫ߩߺߓߥߦޘ‬ߎࠇߣ㧘 p m p f  p ߥࠆ㑐ଥࠍ਄ᑼ(9)ߦઍ౉
ᷓ޿㧘એਅߩ Boussinesq ㄭૃࠍᣉߒߚᣇ⒟ᑼ߇ᚑ
ߒ㧘ᢛℂߔࠆߣ㧘એਅߩᑼࠍᓧࠆ㧚ࠅ┙ߟߣ޿߁ࠊߌߢ޽ࠆ㧚U f  U UE t  t f [1  E (t  t f ) 㧔ㅪ⛯ߩᑼ㧕p  V 0   㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯(13) E 2 (t  t f ) 2  ]  m 㧗RT㧔ㆇേ㊂ߩᑼ㧕&DV
U
DW(t  t f )( p  p f )º ASM »
2
«
RT
¬
¼
p
E
UE t  t fm㧩
[1  E (t  t f )R
1  E (t  t f )        ASM ]    㨯㨯㨯㨯㨯㨯(10)㧗ª&& UgE (t  t f )  p m  P 2V 㨯㨯(14)㧔ࠛࡀ࡞ࠡ࡯ᑼ㧕

UC p

Dt
DW

O 2 t      㨯㨯㨯㨯㨯㨯(15)ߣߎࠈߢ㧘਄ߩ઒ቯ(ii)ߪ૕♽ਛߦᭂ┵ߦᄢ߈ߥኒᐲᄌൻ߇޽ࠆ႐ว߿㧘᳓ߩࠃ߁ߦ㧠͠ઃㄭߦኒ
ᐲᄌᦛὐ߇޽ࠆ႐วߦߪᚑࠅ┙ߚߥ޿߇㧘ߘࠇએᄖߩㅢᏱߩ᧦ઙਅߢߪᚑ┙ߔࠆߣ⠨߃ࠄࠇࠆ㧚ᓥߞߡ㧘ᚒ‫߇ޘ‬ขࠅᛒ߁⥄ὼኻᵹߢᦨ߽ᵈᗧࠍⷐߔ਄ᑼߩ ASM ߪ㧘᷷ᐲ㧘࿶ജ⋧੕⋧㑐ߦ㑐ࠊࠆ㜞ᰴߩઃട㗄ߢ޽ࠆ㧚ߎߎߢ㧘ᵹേߦ઻߁࿶ജᄌ
ൻ p m ߪ㊀ജᣇะߩ㕒࿶ᄌൻߦᲧߴߡ࿶ୟ⊛ߦዊ&ߐ޿ߎߣ߆ࠄ p m ߩ൨㈩ߪ g ( U f  U ) ߢㄭૃߢ߈
ࠆ㧚ߎࠇࠃࠅછᗧߩ㜞ߐ x L ߦ߅ߌࠆ p m ߪ㧘-33-

Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ࠆ໧㗴ߪ઒ቯ(i)ߢ޽ࠈ߁㧚ߎߩ઒ቯ㧧 E (t  t f ) <<㧝ߪ㧘ℂᗐ᳇૕ߩ႐ว

1 § wU ·¨ ¸ t  tf
U c © wt ¹ p

E (t  t f )t  tf<<1
Tߣߥࠅ㧘♽ߩઍ⴫㧔⛘ኻ㧕᷷ᐲ T ߦኻߒߡ⋧ኻ᷷ᐲᏅ (t  t f ) ߇ዊߐ޿႐วߦᚑ┙ߔࠆ㧚৻ᣇ㧘ߎߩ઒ቯ߇ᚑ┙ߒߥ޿႐วߦߪ㧘ᑼ(13)㨪(15)ߪᚑ┙ߖߕ㧘ࠃࠅ෩ኒߥᑼ(4)㧘(8)㧘(6)ߦᚯߞߡ⸃ᨆࠍⴕ߁
ᔅⷐ߇޽ࠆ㧚
ߒ߆ߒ㧘ታ㓙ߦߎࠇࠄߩᑼࠍ෩ኒߦ⸘▚ߔࠆߎߣߪ㔍ߒߊ㧘ߣߊߦ㜞࡟ࠗ࡝࡯ᢙߩ⥄ὼኻᵹ߿ੂ
ᵹ⥄ὼኻᵹࠍขࠅᛒ߁ߦᒰߚߞߡߪ㕖Ᏹߦᾘ㔀ߥ⸘▚ࠍᔅⷐߣߔࠆ㧚ߎࠇߦኻߒߡ㧘ᦨㄭ㧘Mlaouah㧘ㄞ㧘㐳㊁(2)ߪ㧘ૐࡑ࠶ࡂᢙㄭૃࠍ↪޿ߚᢙ୯⸘▚ᴺࠍឭ᩺ߒ㧘᷷ᐲᏅ߅ࠃ߮࡟ࠗ࡝࡯ᢙ߇Ყセ⊛ᄢ߈ߥኒ㐽ኈེౝ⥄ὼኻᵹߩᾲ࡮ᵹേ⸃ᨆࠍ⹜ߺߡ
޿ࠆ㧚ߎߩૐࡑ࠶ࡂᢙㄭૃߣߪ㧘ኻᵹ႐ߢߪᵹࠇ
ߦ઻ߞߡᵹ૕࿶ജ߇ᄌൻߔࠆ߇㧘ߎߩ࿶ജᄌൻߦ
઻߁ኒᐲᄌൻߪᵹࠇ߇ㆃ޿႐ว㧘᷷ᐲᄌൻߦ઻߁
ኒᐲᄌൻߦᲧߴߡዊߐߊήⷞߢ߈ࠆ㧚ߘߒߡ㧘᷷ᐲᏅ߇⋧ኻ⊛ߦዊߐߊ㧘ኒᐲߣ᷷ᐲߩ㑆ߦ
Boussinesq ㄭ ૃ ߣ ห ᭽ ߥ ✢ ᒻ 㑐 ଥ U 0  U
U 0 E (t  t 0 ) ߇ᚑ┙ߔࠆߣ઒ቯߔࠆ߽ߩߢ޽ࠆ㧚ߎߩ㑐ଥࠍㅪ⛯ߩᑼ(4)ߦઍ౉ߒ㧘ኒᐲᄌൻߩ৻ᰴߩ
ࠝ࡯࠳ߢㄭૃߔࠆߣ㧘&  VE

Dt
DW

ታ㛎ደ߆ࠄ⷗ߚᣇ⒟ᑼㆡ↪ߩ໧㗴ὐએ਄㧘೨┨ߢߪ⥄ὼኻᵹࠍขࠅᛒ߁਄ߢᦨ߽ᄢ
߈ߥ໧㗴ߣߥࠆ Boussinesq ㄭૃߦߟ޿ߡ⺰ߓߚ㧚৻ᣇ㧘ᚒ‫⋥߇ޘ‬㕙ߔࠆ⥄ὼኻᵹ໧㗴ߩᄙߊߪ㧘૕♽ߩ᷷ᐲᏅ߇ߐ߶ߤᄢ߈ߊߥߊ㧘߹ߚᵹㅦ߽ᒝ೙
ኻᵹߦᲧߴߡ࿶ୟ⊛ߦૐߊ㧘Boussinesq ㄭૃࠍᣉߒߚᑼࠍ⸃ߊߎߣߦࠃߞߡ㧘චಽߥ♖ᐲߢ⃻⽎߇੍᷹ߢ߈ࠆߩ߽߹ߚ੐ታߢ޽ࠆ㧚ߒ߆ߒ㧘ਈ߃ࠄࠇߚ໧㗴߿૕♽ߦኻߒߡ㧘ߤߩࠃ߁ߥᣇ⒟ᑼࠍ┙ߡ㧘⸃ߊߴ߈߆ߦߟ޿ߡߪ㧘੹ߥ߅ᄙߊߩ⺋⸃߿ᷙੂ߇⷗ࠄࠇࠆࠃ߁ߢ޽ࠆ㧚ߎߎߢߪߘߩࠃ߁ߥ
໧㗴ࠍ⪺⠪ߩ⚻㛎ߒߚ໧㗴ࠍ฽߼ߡᐞߟ߆ขࠅ਄
ߍࠆߎߣߦߔࠆ㧚ᵹࠇߪ㧞ᰴరߘࠇߣ߽㧟ᰴర㧫࿑㧝ߦ␜ߔࠃ߁ߦ஥㕙߇ടᾲ࡮಄ළߐࠇ㧘਄ਅ㕙߇ᢿᾲߐࠇߚኒ㐽ኈེౝ⥄ὼኻᵹߪ㧘ᢙ୯⸘▚ߩࡌࡦ࠴ࡑ࡯ࠢ໧㗴ߣߒߡࠃߊขࠅ਄ߍࠄࠇࠆ໧
㗴ߢ޽ࠆ㧚ታ㓙ߦ߽㧘ኈེߩᅏⴕ߈ࠍᢿ㕙ኸᴺࠃࠅ߽චಽᄢ߈ߊߣࠆߎߣߦࠃࠅ㧘ኈེౝߦ㧞ᰴరߣ⷗ߥߖࠆᵹࠇ߇ታ⃻ߢ߈ࠆ㧚ߢߪ㧘࿑㧞ߦ␜ߔࠃ߁ߦᐩ㕙߇ടᾲ㧘਄㕙߇಄ළ㧘ਔ஥㕙߇ᢿᾲߐࠇߚኒ㐽ኈེߢߪߤߩࠃ߁ߥ⥄ὼኻᵹ߇⊒↢ߔࠆ
Adiabatic WallL
Cooled Wall

D E  2 t   㨯㨯㨯㨯㨯㨯(15)  ߎߎߢ㧘 D O U 0 C p߹ߚ㧘ߎߩ㑐ଥࠍㆇേ㊂ᑼ߅ࠃ߮ࠛࡀ࡞ࠡ࡯ᑼ
ߦઍ౉ߒ㧘ኒᐲᄌൻߩ৻ᰴߩࠝ࡯࠳ߢㄭૃߔࠆߣ㧘⚿ᨐ⊛ߦ Boussinesq ㄭૃࠍᣉߒߚᑼ(14)㧘(15)ߣห
ߓᑼ߇ᓧࠄࠇࠆ㧚ᓐࠄߪߎࠇࠄૐࡑ࠶ࡂᢙㄭૃࠍ
ᣉߒߚᑼࠍ⸃߈㧘෩ኒߥᑼ(4)㧘(8)㧘(6)߅ࠃ߮
Boussinesq ㄭૃߒߚᑼ(13)㨪(15)ࠍ⸃޿ߚ⚿ᨐߣᲧセ࡮ᬌ⸛ߒߡ޿ࠆ㧚ߘߩ⚿ᨐ㧘ኈེౝߩㅦᐲಽ
Ꮣ߿ኻᵹࡄ࠲࡯ࡦ㧘㜞࡟ࠗ࡝࡯ᢙߦ߅ߌࠆኻᵹߩ
ਇ቟ቯ㧔ំേ㧕⃻⽎ߥߤߦߟ޿ߡ㧘Boussinesq ㄭૃߦࠃࠆ⸃ߪ෩ኒ⸃ߣᄢ߈ߊ⇣ߥࠆ⚿ᨐࠍਈ߃ࠆ
ߩߦኻߒ㧘ឭ᩺ߐࠇߚㄭૃᑼߦࠃࠆ⸃ߪ෩ኒ⸃ߦ
߶߷৻⥌ߔࠆ⚿ᨐࠍᓧߡ޿ࠆ㧚ߎߩࠃ߁ߥૐࡑ࠶
ࡂᢙㄭૃߦࠃࠆ⸃ᴺߪ㧘෩ኒߥᑼࠍ⸃ߊߎߣ߇࿎
㔍ߥੂᵹ⥄ὼኻᵹߦኻߒߡ߽ㆡ↪߇ᦼᓙߐࠇࠆ㧚

H

H

HeatedWall
Adiabatic Wall

Fig.1 Two-dimensional cavity flow
CooledWall
Adiabatic
Wall

L
Adiabatic
Wall
Roll
Cell

H

Heated WallB
Fig.2 Bottom-heated cavity flowવᾲ 2004 ᐕ 1 ᦬               - 34-

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ߎߩࠃ߁ߦ૕♽߇㧞ᰴరߣ⷗ߥߖࠆ႐วߢ޽ߞ
ߡ߽㧘ታ㓙ߦ↢ߓࠆᵹࠇߪ㧟ᰴరߣߥࠆ଀ߪ㧘ኈེౝ⥄ὼኻᵹߦ㒢ࠄߕ㧘ઁߩ૕♽ߢ߽ߏߊ᥉ㆉ⊛ߦ⷗ࠄࠇࠆ㧚ߘߩࠃ߁ߥ଀ߣߒߡ㧘⪺⠪ࠄ߇ߎߎ
10 ᐕ᧪ᬌ⸛ߒߡ޿ࠆ㧘਄ะ߈ടᾲᐔ᧼਄ߩ⥄ὼኻ
ᵹ(3)߇᜼ߍࠄࠇࠆ㧚࿑㧟ߪ㧘╬ᾲᵹ᧤᧦ઙߢടᾲ
ߒߚᐔ᧼વᾲ㕙ࠍ᳓ᐔ਄ะ߈ߦ⸳⟎ߒߚ႐วߦߟ
޿ߡ㧘ടᾲᐔ᧼਄ߩᵹࠇࠍᨴᢱߢ㧘߹ߚ㧘ᐔ᧼⴫㕙ߩ᷷ᐲࠍᗵ᷷ᶧ᥏ߦࠃࠅ㧘ߘࠇߙࠇนⷞൻߒߚ
⚿ᨐࠍ␜ߒߚ߽ߩߢ޽ࠆ㧚࿑㧟(a)ߦ␜ߔࠃ߁ߦ㧘᧼ߩవ┵ㇱߦ⸳ߌߚࠬ࡝࠶࠻߆ࠄᨴᢱࠍᵹߒߡ߿
ࠆߣ㧘ᨴᢱߪߪߓ߼᧼ߩ⴫㕙ߦᴪߞߡ⤑⁁ߦᵹࠇࠆ߇㧘వ┵߆ࠄ޽ࠆ〒㔌ㅴࠎߛ࿾ὐߢᨴᢱ߇╭⁁ߦ㓸ਛߒᆎ߼㧘߿߇ߡવᾲ㕙߆ࠄߪߊ㔌ߔࠆ㧚ߘߒߡ㧘ߪߊ㔌ߒߚᨴᢱߩ╭ߪᰴ╙ߦੂࠇߥ߇ࠄ㧘વᾲ㕙ਛᄩߦะ߆ߞߡᵹࠇ㧘વᾲ㕙ਛᄩㇱߢઁ┵߆ࠄ೔㆐ߒߚᵹࠇߣⴣ⓭࡮วᵹߒߡ㧘㋦⋥਄ᣇ߳ᵹࠇ෰ߞߡ޿ߊ㧚߹ߚ㧘ߎߩᵹࠇߩߪߊ㔌ߦ઻ߞߡ㧘࿑ 3(b)ߦ␜ߔࠃ߁ߦવᾲ㕙⴫㕙᷷ᐲಽᏓߦૐ
᷷ߩ╭⁁ᮨ᭽߇ⷙೣᱜߒ޿ࡇ࠶࠴ߢ⃻ࠊࠇࠆߎߣ
߇ಽ߆ࠆ㧚ߢߪߥߗߎߩࠃ߁ߥᨴᢱߩ㓸ਛ࡮ߪߊߛࠈ߁߆㧚⥄ὼኻᵹߩኾ㐷ኅߢߥߊߡ߽㧘ടᾲ࡮಄ළ㕙ߩ᷷ᐲᏅǍT ߅ࠃ߮㑆㓒 H ࠍߘࠇߙࠇઍ⴫
᷷ᐲᏅ㧘ઍ⴫㐳ߐߣߔࠆ࡟ࠗ࡝࡯ᢙ߇޽ࠆ⥃⇇୯ࠍ⿧߃ࠆߣኈེౝߦኻᵹ߇⊒↢ߒᆎ߼㧘ߘߩߣ߈ߩኻᵹߪ࿑㧟ߦ␜ߔࠃ߁ߦ㧘ኈེߩ⍴ㄝᣇะߦゲࠍ߽ߟࡠ࡯࡞࠮࡞⁁ߩᵹࠇߣߥࠆߎߣߪ㧘Ᏹ⼂ߣߒߡ⍮ߞߡ޿ࠆߢ޽ࠈ߁㧚ߎߩߣ߈ኈེߩᅏⴕ߈
L ࠍᢿ㕙ኸᴺ㧔HB㧕ࠃࠅචಽᄢ߈ߊߣߞߚߣߒ
ߡ߽⚿ᨐߪหߓߢ޽ࠆ㧚ߎߩࠃ߁ߥਅ㕙ടᾲߩ૕♽ߢߪ㧘ዋߒ࡟ࠗ࡝࡯ᢙ߇ᄢ߈ߊߥࠆߣᵹࠇࠍ߽
ߪ߿㧞ᰴరߣߒߡขࠅᛒ߃ߥ޿ߎߣߪ᣿ࠄ߆ߢ޽
ࠆ㧚ߒ߆ߒ㧘ขࠅᛒ߁૕♽߇ዋߒⶄ㔀ߦߥࠆߣ㧘޿ߟߩ㑆ߦ߆ߎߩᏱ⼂߇ᔓࠇ෰ࠄࠇ㧘㧞ᰴర⸃ᨆࠍⴕߞߡ޿ࠆ଀߇ᦨㄭߩવᾲࠪࡦࡐߢ߽ߜࠄ߶ࠄ
⷗ฃߌࠄࠇࠆ㧚ߎߩࠃ߁ߥ଀ߪߣߊߦ⸃ᨆࠍኾ㐷ߣߔࠆᣇߦᄙߊ㧘ᵈᗧ߇ᔅⷐߢ޽ࠆ㧚(a) Flow field(b) Surface temperature(a) analysis

Fig.3 Visualization of flow field and temperature
over upward-facing, heated plateedge

center(b) experimentFig.4 Longitudinal vortices induced over plate(a) analysis
edge

centerHeated wall
Heated wall
Heated wall

Calculation
domain(a)(b) experiment

Conventional(b) Elliptic

Fig.6 Vertical slot

Fig.5 Predicted surface temperatures of plate-35-

Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻
















(a) Iso-therms(b) Vectors
Fig.7
Analytical isotherms and vectors and visualized flow field around four-vertical plates㔌߇⿠߈ࠆ߆ߣ޿߁໧㗴ߢ޽ࠆ߇㧘⪺⠪ࠄߪ 3 ᰴర㕖ቯᏱ⸃ᨆࠍ⹜ߺߚ⚿ᨐ(4)㧘࿑㧠ߦ␜ߔࠃ߁ߦ㧘ᵹࠇᣇะߦゲࠍᜬߟ❑᷵߇વᾲ㕙ㄭறߦ⊒↢ߒ㧘ߎߩ❑᷵߇વᾲ㕙ਛᔃߦะ߆ߞߡᰴ╙ߦᚑ㐳㧘፣უߒߡ޿ߊߎߣߦࠃࠅ㧘વᾲ㕙਄ߩᵹࠇ߇ੂᵹ߳
ㆫ⒖ߒߡ޿ߊߎߣࠍ᣿ࠄ߆ߦߒߡ޿ࠆ㧚߹ߚ㧘ෳ⠨ߩߚ߼ 3 ᰴర⸃ᨆߦࠃࠅᓧࠄࠇߚવᾲ㕙⴫㕙᷷ᐲಽᏓߣታ㛎ߦࠃࠅᓧࠄࠇߚ᷷ᐲಽᏓࠍᲧセߒߚ⚿ᨐࠍ࿑㧡ߦ␜ߔ㧚ߎߩ࿑߆ࠄ㧘ૐ᷷╭⁁ᮨ᭽ߩ⊒↢߇⸃ᨆߦࠃߞߡ⦟ᅢߦᮨᡆߢ߈ߡ޿ࠆߎߣ߇
ಽ߆ࠆߢ޽ࠈ߁㧚એ਄ߩ㧞଀ߪടᾲო਄ߦૐ᷷ᵹ
૕߇ሽ࿷ߔࠆ႐วߢ޽ߞߚ߇㧘㧟ᰴరᵹࠇߪߎߩ
ઁߦ߽㧘ਅ஥ߦ㜞᷷㧘਄஥ߦૐ᷷ᵹ૕߇ሽ࿷ߔࠆ
ᵹ૕⇇㕙㑆ߢ߽ߏߊ᥉ㅢߦߺࠄࠇࠆ߽ߩߢ޽ࠅ㧘⸃ᨆߦᒰߚߞߡߪ⚦ᔃߩᵈᗧࠍⷐߔࠆ㧚᡼‛ဳߘࠇߣ߽ᬦ౞ဳ㧫⥄ὼኻᵹߣ⸒߃߫㧘⺕ߒ߽ု⋥ߥടᾲᐔ᧼ߦᴪ
߁⥄ὼኻᵹ߇⌀ߞవߦᕁ޿ᶋ߆߱㧚ߎߩု⋥ടᾲᐔ᧼߹ࠊࠅߩ⥄ὼኻᵹߪ㧘ㅢᏱႺ⇇ጀㄭૃࠍᣉߒ
ߚ᡼‛ဳߩャㅍᣇ⒟ᑼࠍ಴⊒ὐߣߒߡ㧘⋧ૃ⸃ᴺ޽ࠆ޿ߪᢙ୯⸃ᴺߦࠃߞߡ⸃߆ࠇࠆ㧚ߒ߆ߒ㧘⃻ታߩ⥄ὼኻᵹ໧㗴ߢႺ⇇ጀㄭૃ߇ᚑ┙ߔࠆ႐วߪ
ᗧᄖߦዋߥߊ㧘ᄙߊߩ႐วቢోᬦ౞ဳߩャㅍᣇ⒟ᑼࠍ⸃ߊᔅⷐ߇޽ࠆ㧚ߘߩઍ⴫଀ߣߒߡ㧘࿑ 6(a)ߦ␜ߔࠃ߁ߦო㕙߇ടᾲߐࠇߚု⋥ࠬ࠶࠻ౝ⥄ὼኻᵹ߇᜼ߍࠄࠇࠆ㧚ߎߩု⋥ࠬ࠶࠻ౝ⥄ὼኻᵹߦߟ޿ߡߪ㧘ฎߊߪࡈࠖࡦઃ࡜ࠫࠛ࡯࠲㧘ᦨㄭߢߪࡅ࡯࠻ࠪࡦࠢ߿ࡊ࡝

Fig.9 Flow over heated,
Fig.8 Flow over heated,   horizontal cylinder
vertical plateࡦ࠻ၮ᧼ߩ⥄ὼኻᵹ಄ළࠍⴕ߁਄ߢᦨ߽ၮᧄߣߥ
ࠆ૕♽ߢ޽ࠆߎߣ߆ࠄ㧘♖ജ⊛ߥ⎇ⓥ߇ⴕࠊࠇߡ
޿ࠆ㧚ߘߩ⎇ⓥߩ߁ߜ 1970 ᐕઍೋ߼߹ߢߩ⎇ⓥᚑ
ᨐߦߟ޿ߡߪ⋧ේߩ⪺ᦠ(5)ߦ⹦⚦ߥ࡟ࡆࡘ࡯߇ߥ
ߐࠇߡ޿ࠆ㧚ߘࠇߦଐࠇ߫㧘ု⋥ࠬࡠ࠶࠻ౝ⥄ὼኻᵹߩ⸃ᨆߦᒰߚߞߡߪ㧘ᵹ〝౉ญ࡮಴ญߢㆡᒰ
ߥᵹㅦ㧘࿶ജႺ⇇᧦ઙࠍਈ߃㧘᡼‛ဳߩャㅍᣇ⒟ᑼࠍ౉ญ߆ࠄ಴ญߦะ߆ߞߡ೨ㅴ⊛ߦ⸃ߊᣇᴺ߇
ណ↪ߐࠇߡ޿ࠆ㧚ߎࠇߪᒰᤨߩ⸘▚ᯏߩ⢻ജ߆ࠄ⠨߃ߡᱛ߻ࠍᓧߥ޿ㆬᛯߢ޽ߞߚ㧚ߒ߆ߒ㧘ߎߩࠃ߁ߥု⋥ࠬࡠ࠶࠻ౝߩᵹേ࡮વᾲࠍ⸃ᨆߔࠆߦ
ߪ㧘ᧄ᧪࿑ 6(b)ߦ␜ߔࠃ߁ߦ㧘ࠬࡠ࠶࠻ࠍขࠅ࿐
߻චಽᄢ߈ߥ⸘▚㗔ၞࠍߣࠅ㧘ߎߩ⸘▚㗔ၞߩႺ⇇ߢㆡಾߥႺ⇇᧦ઙࠍ⸳ቯߒ㧘ቢోᬦ౞ဳߩャㅍ

વᾲ 2004 ᐕ 1 ᦬               - 36-વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ߪ (8) 㧘࿑ 9 ߦ␜ߔࠃ߁ߦ౞ᩇߩ਄┵ㇱઃㄭߦ
Goelter ဳߩㆫ⒖߇↢ߓࠆߩߢ޽ࠆ㧚ߎࠇࠄࠍ⠨߃วࠊߖࠆߣ㧘‛૕߹ࠊࠅߩ⥄ὼኻᵹߩੂᵹㆫ⒖ߪ
Goelter ဳߩㆫ⒖߇߻ߒࠈ৻⥸⊛ߣ޿߃ࠆ㧚ߎߩ⥄ὼኻᵹߩੂᵹㆫ⒖ߦߟ޿ߡߪ㧘਄ะ߈ടᾲ௑ᢳᐔ
᧼߹ࠊࠅߩ⥄ὼኻᵹࠍኻ⽎ߦ቟ቯᕈ⸃ᨆ߇ⴕࠊࠇ
ߡ޿ࠆ㧚ߒ߆ߒ㧘ᓥ᧪ߩ⸃ᨆߦࠃࠅ੍᷹ߐࠇߚㆫ
⒖ࠣ࡜ࠬࡎࡈᢙߪ㧘ታ㛎୯ࠃࠅ߽ 2㧘3 ࠤ࠲⒟ᐲ㜞޿୯ࠍ␜ߒߡ߅ࠅ㧘⸃ᨆߩਇ஻߇ᜰ៰ߐࠇߡ޿ࠆ㧚⥄ὼኻᵹߩ቟ቯᕈߪ㕖Ᏹߦ㊀ⷐߥ໧㗴ߢ޽ࠅ㧘੹ᓟߩ⎇ⓥߩㅴዷ߇ᦼᓙߐࠇࠆߣߎࠈߢ޽ࠆ㧚৻ᣇ㧘⊒㆐ߒߚੂᵹ⥄ὼኻᵹߩャㅍᯏ᭴ߦߟ޿
ߡߪ㧘Tsuji㧘Nagano(9)߇♖ജ⊛ߥᬌ⸛ࠍⴕߞߡ޿
ࠆ㧚ߘߩ⚿ᨐߦࠃࠇ߫⥄ὼኻᵹߩੂᵹャㅍᯏ᭴ߪᒝ೙ኻᵹߩߘࠇߣߪᄢ߈ߊ⇣ߥࠆߎߣ߇᣿ࠄ߆ߦ
ߐࠇߡ޿ࠆ㧚߹ߚ㧘ᶋജߦࠃࠆࠛࡀ࡞ࠡ࡯↢ᚑ╬ࠍ⠨ᘦߒߚᣂߚߥੂᵹャㅍࡕ࠺࡞ߩ᭴▽߇ㄞࠄ
(10)ߦࠃࠅ⹜ߺࠄࠇߡ޿ࠆ㧚ߎࠇࠄߩ⹦⚦ߦߟ޿ߡߪ㧘⚕㕙߇ዧ߈ߚߩߢ⋭⇛ߔࠆ߇㧘੹ᓟߩㅴዷ߇
ᄢ޿ߦᦼᓙߐࠇࠆ⎇ⓥಽ㊁ߢ޽ࠆ㧚ᣇ⒟ᑼࠍ⸃ߊߩ߇ᅷᒰߣ޿߃ࠆ㧚߹ߚ㧘ߎߩࠬࡠ࠶࠻ౝߦ૗߆ᵹേ㓚ኂ‛߇᦭ࠆ႐วߦߪ㧘߽ߪ߿
ᬦ౞ဳᣇ⒟ᑼࠍ⸃ߊએᄖߦᣇᴺߪή޿ߣ޿߃ࠆ㧚ߎߩࠃ߁ߥ⠨߃ߦၮߠ߈㧘⪺⠪ࠄߪᦨㄭု⋥ߥടᾲᐔ᧼߇ห৻᳓ᐔ㕙਄ߦⶄᢙᨎ㧘╬㑆㓒ߢ㈩⟎ߐࠇߚᐔ᧼೉߹ࠊࠅߩ⥄ὼኻᵹߩવᾲ࡮ᵹേ⸃ᨆ
(6)ࠍ⹜ߺߡ޿ࠆ㧚࿑ 7 ߪߘߩઍ⴫⊛ߥ⚿ᨐࠍ␜ߒߚ߽ߩߢ㧘㑆㓒 b=10mm ߢ⟎߆ࠇߚ㧠ᨎߩടᾲᐔ
᧼೉߹ࠊࠅߩ᷷ᐲ߅ࠃ߮ㅦᐲಽᏓߩ⸃ᨆ⚿ᨐߣᵹࠇߩนⷞൻ⚿ᨐࠍᲧセߒߚ߽ߩߢ޽ࠆ㧚ᐔ᧼߇ⶄᢙᨎ㓞ធߒߡ⟎߆ࠇࠆߣ㧘࿑ 7(c)߆ࠄಽ߆ࠆࠃ߁
ߦ㧘ᐔ᧼ߩ਄┵߆ࠄ㔌⣕ߒߚ㜞᷷ߩࡊ࡞࡯ࡓߪ੕
޿ߦᐓᷤߒ㧘ᐔ᧼೉ߩਛᄩ߳ነࠅ㓸߹ࠆ㧚ߎߩࡊ࡞࡯ࡓߩᐓᷤ⃻⽎ߪ㧘ᐔ᧼ᵹ〝಴ญߢߩ࿶ജ߇๟
࿐ᵹ૕ߩ࿶ജࠃࠅ߽ૐߊߥࠅ㧘๟࿐߆ࠄ᛼ߐࠇࠆ
ߎߣߦࠃࠅ↢ߓࠆ߽ߩߢ޽ࠆ㧚࿑ 7(a),(b)߆ࠄಽ߆
ࠆࠃ߁ߦ㧘ߎߩࡊ࡞࡯ࡓߩᐓᷤ⃻⽎߇਄ㅀߒߚቢ
ోᬦ౞ဳߩ⸃ᨆߦࠃߞߡ⦟ᅢߦ੍᷹ߐࠇߡ޿ࠆ㧚߹ߚᧄ⸃ᨆߦࠃࠇ߫㧘ᐔ᧼೉ਛߩฦᵹ〝ౝߦ⺃⿠ߐࠇࠆ⥄ὼኻᵹߩᵹㅦ㧘ᵹ㊂߅ࠃ߮ዪᚲᾲવ㆐₸ߩ੍᷹߇น⢻ߢ޽ࠅ㧘ߎࠇࠄߩ୯߇ᐔ᧼㑆㓒ߛߌߢߥߊ㧘ᐔ᧼ߩᨎᢙ߿ᐔ᧼೉ߩ૏⟎ߦࠃߞߡᄌൻ
ߔࠆߥߤ㊀ⷐߥ⚿ᨐ߇ᓧࠄࠇߡ޿ࠆ㧚ߎࠇࠄᬦ౞
ဳᣇ⒟ᑼߩ⸃ᨆߪ㧘ᦨㄭߩ⸃ᨆᛛⴚߣ⸘▚ᯏ⢻ജߩ㘧べ⊛ߥㅴᱠߦ઻ߞߡኈᤃߦታⴕߢ߈ࠆ⁁ᴫߦߥߞߡ޿ࠆ㧚᡼‛ဳ㧘ᬦ౞ဳᣇ⒟ᑼߩ޿ߕࠇࠍ⸃
ߊߴ߈߆ㅅ߁ߣ߈ߪ㧘ߚ߼ࠄࠊߕᓟ⠪ࠍㆬᛯߔߴ
߈ߣ⠨߃ࠆ߇㧘⺒⠪ߩᗧ⷗ߪᅤ૗ߢ޽ࠈ߁߆㧚 ੂᵹㆫ⒖߅ࠃ߮ੂᵹャㅍ⸃ᨆ਄⸥ߩઁߦ߽㧘⸃ᨆࠍᔒߔੱߦߣߞߡ㝯ജ⊛ߥ࠹࡯ࡑ߇⥄ὼኻᵹߢߪᄙߊ᦭ࠆ㧚ߘߩ৻ߟ߇⥄ὼኻᵹߩੂᵹㆫ⒖ߣੂᵹャㅍᯏ᭴ߩ⸃ᨆߢ޽ࠆ㧚3.1▵ߢㅀߴߚࠃ߁ߦ㧘਄ะ߈ടᾲᐔ᧼਄ߩ⥄ὼኻᵹ႐ߢߪ❑᷵ߩ⊒↢㧘፣უࠍ⚻ߡ㧘⊒㆐ߒߚੂᵹ߳
ߣㆫ⒖ߒߡ޿ߊ㧚ߎߩࠃ߁ߥㆫ⒖ߪ޿ࠊࠁࠆ
Goeltler ဳߩㆫ⒖ߣ๭߫ࠇࠆ߽ߩߢ޽ࠅ㧘଀߃߫᳓ᐔ߆ࠄߩ௑߈ⷺǰ߇ 75qએਅߩ਄ะ߈ടᾲ௑
ᢳᐔ᧼਄ߦ߽⷗ࠄࠇࠆ㧚৻ᣇ㧘ု⋥ടᾲᐔ᧼߹ࠊ
ࠅߩ⥄ὼኻᵹࠍนⷞൻߒߡߺࠆߣ(7)㧘࿑ 8 ߦ␜ߔࠃ߁ߦᐔ᧼਄ߦߪᵹࠇߦ⋥ⷺߥᣇะߦᵄ߇↢ߓ㧘ߎߩᵄ߇ਅᵹߦะ߆ߞߡಽⵚߒ㧘ੂᵹ߳ߣㆫ⒖ߒߡ޿ߊ㧘޿ࠊࠁࠆ Tollmien㧙Schlichting ဳߩㆫ⒖߇↢ߓࠆ㧚ߢߪᐔ᧼એᄖߩ‛૕߹ࠊࠅߩㆫ⒖ߪߣ޿߁ߣ㧘଀߃߫᳓ᐔടᾲ౞ᩇ߹ࠊࠅߩ⥄ὼኻᵹߢ⚿⸒ એ਄㧘‫⥄ޟ‬ὼኻᵹߩߩߤߩዊ㛽‫ߣޠ‬㗴ߒߡ⸥ߐߖ
ߡ㗂޿ߚ㧚ߩߤߩዊ㛽ࠍᛮߊߚ߼ߦߏ㘵ࠍ⹣߼ㄟߺㆊ߉㧘ᶖൻਇ⦟᳇๧ߩౝኈߣߥߞߡߒ߹ߞߚߎ
ߣࠍ߅⹟߮ߔࠆ㧚ෳ⠨ᢥ₂(1) Gebhart, B., Jaluria, Y. Mahajan, R. L. and Sammakia,
B., “Buoyancy- Induced Flows and Transport”,
Hemisphere, (1988).
(2) Mlaouah, H., ㄞବඳ㧘㐳㊁㕏ዏ㧘ᯏ⺰㧘62 Ꮞ㧘594
ภ㧘B ✬㧘pp.756-762, (1996).
(3) Kitamura, K. and Kimura, F., Int. J. Heat Mass Transf.,
Vol.38, No.17, pp.3149 (1995).
(4) ർ᧛ஜਃ㧘㒸ᥙ቟㧘ᧁ᧛ᢥ⟵㧘ᯏ⺰㧘65 Ꮞ 640 ภ㧔B ✬㧕㧘pp.4033(1999).
(5) ⋧ේ೑㓶㧘‫ޟ‬વᾲᎿቇߩㅴዷ㧙╙ 4 Ꮞ‫ޠ‬㙃⾫ၴ㧘
p.119-228, (1976).
(6) ਃⷺ೑ਯ㧘⫱ᳰ㓷᮸㧘ർ᧛ஜਃ㧘ᯏ⺰㧘68 Ꮞ㧘671
ภ㧔B ✬㧕, pp.2114 (2002).
(7) ᧁ᧛ᢥ⟵㧘ർ᧛ஜਃ㧘ጊญቇ㧘ᵻ⷗ᢅᒾ㧘ᯏ⺰㧘
66 Ꮞ 645 ภ(B ✬), pp.1453(2000).
(8) Kitamura, K. Misumi㧘T. and Kami-iwa, F., Int. J. Heat
Mass Transf., Vol.42-22, pp.4093 (1999).
(9) Tsuji, T. and Nagano, Y., Int. J. Heat Mass Transf.,
Vo.31-10, pp.2101 (1988).
(10) ㄞବඳ㧘㐳㊁㕏ዏ߶߆㧞ฬ㧘ᯏ⺰㧘57 Ꮞ 543 ภ(B✬), pp.239 (1991).

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Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻㐽ⓨ㑆♽ߩ߰ߊ኿વᾲ
Radiative Heat Transfer in Enclosed Systemን᧛ ኼᄦ㧔਻Ꮊᄢቇ㧕
Toshio TOMIMURA (Kyushu University)ߪߓ߼ߦ ߰ߊ኿વᾲߦ㑐ㅪߒߡ‫ޟ‬ᢎ⑼ᦠߢ⸅ࠇࠄࠇࠆߎ
ߣ߇ዋߥ޿ߌࠇߤ߽㑐ㅪ⃻⽎ߩᧄ⾰ࠍℂ⸃ߔࠆ਄
ߢ㊀ⷐߥ੐㗄㧘޽ࠆ޿ߪߤߩᢎ⑼ᦠߢ߽ㅢࠅ৻ㆉ
ߩ⸥ㅀߪߥߐࠇߡ޿ࠆ߽ߩߩ੹৻ߟߒߞߊࠅߎߥ
޿੐㗄‫ ߡ޿ߟߦޠ‬One-Point ⸃⺑ࠍߔࠆᯏળࠍਈ
߃ߡ㗂޿ߚ㧚ߎߩࠃ߁ߥ੐㗄ߪචੱච⦡ߢᄢ߈ߥ
୘ੱᏅ߇޽ࠆߎߣߣߪᕁ߁߇㧘੹࿁ߪᧄડ↹ߩ⿰ᣦ߆ࠄ㧘⺒⠪ጀߪቇㇱ޽ࠆ޿ߪᄢቇ㒮࡟ࡌ࡞ߩᣇ‫ߣޘ‬ᗐቯߒߚ਄ߢ㧘ᢎ⑼ᦠߢࠃߊ⷗߆ߌࠆ㐽ⓨ㑆♽ߩ߰ߊ኿વᾲߩਛ߆ࠄ 2 ߟߩ੐㗄ߦߟ޿ߡᢛ
ℂߣ⸃⺑ࠍⴕߞߡߺࠆߎߣߦߔࠆ㧚ᄙ㊀෻኿ࠍ฽ࠎߛᄌᢙ
ᄖ᧪ᾖ኿㊂ ) ߣ኿ᐲ , ߦߟ޿ߡ
Ἧ⦡૕♽ߩ߰ߊ኿વᾲߩ⸃ᴺߩ৻ߟߦ Poljak ߦࠃࠆ Saldo ᴺ(Net Radiation Method)߇޽ࠆ㧚ߎߩᣇ
ᴺߢߪ㧘࿑ 1 ߦ␜ߔࠃ߁ߦᄙ㊀෻኿ࠍ฽ࠎߛᄌ
ᢙߣߒߡᄖ᧪ᾖ኿㊂ G [W/m2]ߣ኿ᐲ J [W/m2]߇
ዉ౉ߐࠇࠆ㧚ߘߩ߅㒶ߢ㤥૕♽ߩ႐วߣห᭽ߥ
ขᛒ޿ࠍߔࠆߎߣ߇น⢻ߣߥࠅ㧘߰ߊ኿વᾲߩ
⸃ᨆ߇ᭂ߼ߡ◲නߦߥࠆ㧚ߒ߆ߒ㧘ߎߩ႐ว㧘‫ޟ‬ᄖ᧪ᾖ኿㊂ G ߣ኿ᐲ J ߩਛߦᄙ㊀෻኿ߩᚑಽ
߇৻૕ߤߩࠃ߁ߥᒻߢ฽߹ࠇߡ޿ࠆߩ߆‫޿ߣޠ‬߁ߎߣߦߟ޿ߡౕ૕⊛ߥ଀ߢℂ⸃ߒߡ߅߈ߚߊߥ
ࠆ㧚ߎࠇ߇╙৻⇟⋡ߩ‫ߩߤߩޟ‬ዊ㛽‫ࠆ޽ߢޠ‬㧚᛬ߦ⸅ࠇᚻరߦ޽ࠆ࠹ࠠࠬ࠻[1-20]ߢ⺞ߴߚ㒢ࠅߢߪ㧘ᱷᔨߥ߇ࠄߘߩ╵߃ࠍ⷗ߟߌࠆߎߣߪߢ
߈ߥ߆ߞߚ㧚ߘ߁ߥࠆߣ⥄りߢ૗ࠄ߆ߩ╵߃ࠍ⷗ߟߌߑࠆࠍᓧߥ޿ߩߢ޽ࠆ߇㧘଀߃߫ n ୘ߩ⴫㕙ߢ࿐߹ࠇߚἯ⦡૕㐽ⓨ㑆♽ߢߩᄙ㊀෻኿ࠍㅙ৻ㅊ
〔ߔࠆߎߣߥߤߪ㧘߹ߕ⺰ᄖߢ޽ࠆ㧚ߘߎߢᄙ㊀෻኿߇૗ߣ߆ㅊ〔น⢻ߥ♽ߣߒߡ࿑ 2 ߦ␜ߔࠃ߁
ߥή㒢ᐔⴕᐔ᧼ࠍขࠅ਄ߍ㧘ߘߎߢߩᱜ๧ߩ߰ߊ
኿ࠛࡀ࡞ࠡ࡯੤឵ࠍ⠨߃ߡߺࠆߎߣߦߔࠆ㧚߹ߕ㧘㕖ㅘㆊᕈߩἯ⦡㕙 1 ߣ 2 ߢ᭴ᚑߐࠇࠆή㒢ᐔⴕᐔ᧼♽(ᒻᘒଥᢙ F12=F21=1)ߦ㑐ߒ㧘Kirchhoff
ߩᴺೣ߆ࠄ㧘ๆ෼₸ a ߪ᡼኿₸Hߦ╬ߒߊ㧘෻኿₸U ߪ 1-a ߔ ߥ ࠊ ߜ 1-H ߢ ਈ ߃ ࠄ ࠇ ࠆ ߣ ߔ ࠆᵈKirchhoff ߩᴺೣߦ㑐ߒߡ਄⸥ߩࠃ߁ߥ◲නߥᦠ߈ᣇࠍߒߚ߇㧘ߎߩᴺೣߩㆡ↪ߦߪᵈᗧ߇ᔅ1

G(1-㱑2)㱑1Eb1+(1-㱑1)(1-㱑2)㱑1Eb1

㱑1(1-㱑1)(1-㱑2)2㱑1Eb1

㱑1(1-㱑1)2(1-㱑2)3㱑1Eb1

G: ᄖ᧪ᾖ኿㊂(irradiation, arriving flux)න૏ᤨ㑆䇮න૏㕙Ⓧ䈅䈢䉍䈮⴫㕙䈮౉኿䈜䉎ో䈸䈒኿䉣䊈䊦䉩䊷[W/m2]

J

q11 =

J : ኿ᐲ(radiosity, leaving flux)න૏ᤨ㑆䇮න૏㕙Ⓧ䈅䈢䉍䈮⴫㕙䉕಴䈩ⴕ䈒ో䈸䈒኿䉣䊈䊦䉩䊷[W/m2]
㱝G

㱑2㱑1Eb1

㱑1Eb1
㱑1(1-㱑2)㱑1Eb1+
Q
A =J- G2
F12=F21=1

㱑Eb
J = 㱑Eb + 㱝G= 㱑Eb + (1 - 㱑)G࿑ 1 ᄖ᧪ᾖ኿㊂ G ߣ኿ᐲ J

વᾲ 2004 ᐕ 1 ᦬               - 38-

㱑1(1-㱑2)
1 - (1-㱑1)(1-㱑2)+
㱑2(1-㱑1)(1-㱑2)㱑1Eb1(1-㱑1)(1-㱑2)2㱑1Eb1(1-㱑1)2(1-㱑2)2㱑1Eb1+
㱑2(1-㱑1)2(1-㱑2)2㱑1Eb1(1-㱑1)2(1-㱑2)3㱑1Eb1

㱑1Eb1

q12 =

㱑2
1 - (1-㱑1)(1-㱑2)

q11 + q12 = 㱑1Eb1

࿑ 2 Ἧ⦡૕ή㒢ᐔⴕᐔ᧼♽ߢߩ߰ߊ኿ࠛࡀ࡞ࠡ࡯ߩๆ෼ߣ෻኿
ᐔ᧼ 1 ߆ࠄߩ߰ߊ኿ࠛࡀ࡞ࠡ࡯H1Eb1 ߩๆ෼ᚑಽߣ෻኿ᚑಽߩㅊ〔 㱑1Eb1વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻H2
H 1 E b11 1 H1 1 H 2

H1

߆ࠄ㧘એਅߩ㑐ଥ߇ᓧࠄࠇࠆ㧚
H 1 E b1  1  H 1 H 2 E b 2

J 1 G21 1 H1 1 H 2

2߇ๆ෼ߐࠇࠆ㧚ߘߒߡ㧘q11 [W/m ]ߣ q12 [W/m ]ߩ
๺ߪᐔ᧼ 1 ߆ࠄᦨೋߦ᡼኿ߐࠇߚ߰ߊ኿ࠛࡀ࡞ࠡ
࡯H1Eb1 ߦ╬ߒߊ㧘
q11  q12 H 1 E b1
(3)

J2

H1
H 2 Eb21 1 H1 1 H 2

H1

(5)

q12 =

q11 =

1 - (1-㱑1)(1-㱑2)㱑1(1-㱑2)
1 - (1-㱑1)(1-㱑2)

㱑1Eb1

(15)

H2

2

1
㱑2

(13)

ߣߥࠆ㧚਄ᑼߪ㧘⏕߆ߦᄙ㊀෻኿ࠍㅙ৻ㅊ〔ߒߡᓧࠄࠇߚᑼ(7)ߣ৻⥌ߒߡ޿ࠆ㧚 ߘߎߢ㧘ᑼ(12)㧘(13)ࠍᑼ(1)㧘(2)㧘(4)㧘(5)ߩ㑐ଥ߇ๆ෼ߐࠇࠆ㧚ߘߒߡ㧘ߘࠇࠄߩ๺ߪ

1

1  H 2 H 1 E b1  H 2 E b 2

1 1 H1 1 H 2

ߦᑼ(12)㧘(13)ࠍઍ౉ߔࠆߎߣߦࠃࠅ
E b1  E b 2

qn
1
1

1

(4)

߇ๆ෼ߐࠇ㧘ᐔ᧼ 2 ߢߪ
H 2 1 H1
q 22
H 2 Eb21 1 H1 1 H 2

G1

(12)

ᓥߞߡ㧘ᱜ๧ߩ߰ߊ኿ࠛࡀ࡞ࠡ࡯ߩ੤឵㊂ qn ߪ㧘
q n J 1  G1 G 2  J 2 J 1  J 2 G 2  G1 
(14)ߣߥࠆ㧚ห᭽ߦߒߡ㧘ᐔ᧼ 2 ߆ࠄ᡼኿ߐࠇߚ߰ߊ
኿ࠛࡀ࡞ࠡ࡯H2Eb2 ߪ㧘ᦨ⚳⊛ߦߪᐔ᧼ 1 ߢ
q 21

H2

৻ᣇ㧘หߓ♽ࠍ࿑ 4 ࠍෳᾖߒ㧘ᄖ᧪ᾖ኿㊂ G ߣ኿ᐲ J ࠍ↪޿ߡ⸃ᨆߔࠆߣ㧘
J 1 H 1 E b1  1  H 1 G1
(8)J 2 H 2 Eb2  1  H 2 G2 
(9)
G1 J 2 (10)
G2 J 1 
(11)

(2)

2

(6)

ߣߥࠆ㧚એ਄ߩౝኈࠍ➙߼ߡ␜ߔߣ࿑ 3 ߩࠃ߁ߦߥࠅ㧘㕖ㅘㆊᕈߩἯ⦡㕙ߢ᭴ᚑߐࠇࠆή㒢ᐔⴕᐔ᧼♽ߦ߅ߌࠆᱜ๧ߩ߰ߊ኿ࠛࡀ࡞ࠡ࡯ߩ੤឵㊂ qnߪ㧘๟⍮ߩᰴᑼߢਈ߃ࠄࠇࠆ㧚
E b1  E b 2
(7)
q n q12  q 21
1
1

1

߇ๆ෼ߐࠇ㧘ᐔ᧼ 2 ߢߪq12

H 2 Eb2

q 21  q 22

ⷐߢ޽ࠆ[21]㧚ߎߎߢߪๆ෼₸ߥߤߩ↪⺆ߩ೨ߦ㧘ౕ૕⊛ߥ଀ߣߒߡ‫ోޟ‬ඨ⃿‫߁޿ߣޠ‬ធ㗡⺆߇޽ࠆ߽ߩߣߔࠆ 㧚㤥૕ߩో᡼኿⢻ࠍ Eb(=VT4 [W/m2]㧘
ߎߎߢVߪ Stefan-Boltzmann ቯᢙ㧘T ߪ⛘ኻ᷷ᐲ[K])ߣߔࠆߣ㧘࿑ 2 ߦ␜ߔࠃ߁ߦ㧘᡼኿₸H1 ߩᐔ᧼ 1 ߆ࠄ᡼኿ߐࠇߚ߰ߊ኿ࠛࡀ࡞ࠡ࡯H1Eb1 ߪᐔ᧼
2 ߢߘߩ৻ㇱH2H1Eb1 ߇ๆ෼ߐࠇ㧘ᱷࠅߩ(1-H2)H1Eb1
ߪ෻኿ߐࠇౣ߮ᐔ᧼ 1 ߦ౉኿ߔࠆ㧚ߘߩᓟߪ࿑ߦ
␜ߒߚๆ෼ߣ෻኿ࠍ➅ࠅ㄰ߒ㧘ᦨ⚳⊛ߦߪᐔ᧼ 1
ߢ
H1 1 H 2
q11
H 1 E b1(1)
1 1 H1 1 H 2

2

q12

㱑1Eb1

F12 = F21 = 1

㱑1Eb1

q11
q22

q11 + q12 = 㱑1Eb1

q22 =

㱑2Eb2

q21

q21 =

㱑2(1-㱑1)
1 - (1-㱑1)(1-㱑2)
㱑1
1 - (1-㱑1)(1-㱑2)

J1

G2

G1

J2

J1 = G2 =1 – (1 – 㱑1)(1 – 㱑2)(1 – 㱑2)㱑1Eb1 + 㱑2Eb2

㱑2Eb2
㱑2Eb2

㱑1Eb1 + (1 – 㱑1)㱑2Eb2

J2 = G1 =

1 – (1 – 㱑1)(1 – 㱑2)

qn

q21 + q22 = 㱑2Eb2

qn = q12 – q21

qn = J1 – G1 = G2 – J2 = J1 – J2 = G2 – G1
qn = q12 – q21 =Eb1 – Eb2

qn =

1
1
-1
+
㱑1 㱑2

Eb1 – Eb2
1
㱑1

࿑ 3 Ἧ⦡૕ή㒢ᐔⴕᐔ᧼♽ߢߩᱜ๧ߩ߰ߊ኿ࠛࡀ࡞ࠡ࡯੤឵

1
+

㱑2

-1

࿑ 4 ᄖ᧪ᾖ኿㊂ G ߣ኿ᐲ J ࠍ↪޿ߚἯ⦡૕ή㒢ᐔⴕᐔ᧼♽ߩ߰ߊ኿વᾲ⸃ᨆ

- 39-

Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ࠍ↪޿ߡ q11, q12, q21, q22 ߢ⴫ࠊߒߡߺࠆߣ㧘
q12 q 22J 1 G2
 ? H 2 J 1 H 2 G 2 q12  q 22 (16)

H2

J2

G1

q11

H1



q 21

H1

J 1  G1^

? H 1 J 2

H 1G1

q11  q 21

(17)

H 1 E b1  H 1G1

q11  q12  q11  q 21

q12  q 21 `(18)ߣߥߞߡ߅ࠅ㧘ᱜ๧ߩ߰ߊ኿ࠛࡀ࡞ࠡ࡯ߩ੤឵㊂
qn ߪᐔ᧼ 1 ߦࠃࠅ᡼኿ߐࠇࠆ߰ߊ኿ࠛࡀ࡞ࠡ࡯
H1Eb1(=q12+q11)ߣๆ෼ߐࠇࠆోߡߩ߰ߊ኿ࠛࡀ࡞
ࠡ࡯H1G1(=q11+q21)ߩᏅߦ╬ߒ޿㧚ߎࠇߪ߹ߚ㧘ᑼ(14)ߩ qn=G2-J2 ߦᑼ(9)ࠍઍ౉ߒߡᓧࠄࠇࠆ
G2  J 2qn^

H 2 G2  H 2 Eb2

q12  q 22  q 21  q 22

q12  q 21 `(19)߆ࠄ㧘qn ߪᐔ᧼ 2 ߦࠃࠅๆ෼ߐࠇࠆోߡߩ߰ߊ኿
ࠛࡀ࡞ࠡ࡯H2G2(=q12+q22)ߣ᡼኿ߐࠇࠆ߰ߊ኿ࠛࡀ
࡞ࠡ࡯H2Eb2(=q21+q22) ߩᏅߦ╬ߒ޿ߎߣ߇ࠊ߆ࠆ㧚߰ߊ኿વᾲ⸃ᨆߦᔅⷐߥ  ᒻᘒଥᢙߩᢙߦߟ޿ߡ
╙ੑ⇟⋡ߩ‫ߩߤߩޟ‬ዊ㛽‫ߡߒߣޠ‬㧘㐽ⓨ㑆♽ߩ߰ߊ኿વᾲ⸃ᨆߦ߅޿ߡᔅⷐߣߥࠆᒻᘒଥᢙߩᢙߦ
ߟ޿ߡ⷗ߡߺࠆߎߣߦߔࠆ㧚
ᢎ⑼ᦠߢࠃߊ⺑᣿ߐࠇߡ޿ࠆࠃ߁ߦ㧘n ୘ߩ㕖ㅘㆊᕈߩ⴫㕙ߢ࿐߹ࠇߚἯ⦡૕㐽ⓨ㑆♽ߦ߅ߌࠆ߰ߊ኿વᾲߩ໧㗴ߪ㧘Ai ࠍ⴫㕙 i ߩ㕙Ⓧ[m2]㧘
Qi(=Aiqi)ࠍ⴫㕙 i ߣઁߩోߡߩ⴫㕙ߣߩ㑆ߩᱜ๧ߩ߰ߊ኿ࠛࡀ࡞ࠡ࡯ߩ੤឵㊂[W]㧘Fij ࠍᒻᘒଥᢙ
ߣߔࠆߣ㧘
n

Ji

Qi

H2

ߣߥߞߡ޿ࠆ㧚ߔߥࠊߜ㧘࿑ 3 ߣ࿑ 4 ࠍෳᾖߔࠆ
ߣ㧘ᑼ(16)߆ࠄ㧘ᐔ᧼ 2 ߦ౉኿ߔࠆᄖ᧪ᾖ኿㊂ G2
ߦߘߩๆ෼₸ a2(=H2)ࠍដߌߚH2G2 ߪ㧘ᐔ᧼ 2 ߦࠃࠅๆ෼ߐࠇࠆ߰ߊ኿ࠛࡀ࡞ࠡ࡯ᚑಽ q12 ߣ q22 ߢ᭴ᚑߐࠇߡ޿ࠆߎߣ߇ࠊ߆ࠆ㧚ห᭽ߦ㧘ᑼ(17)߆ࠄ㧘ᐔ᧼ 1 ߦ౉኿ߔࠆᄖ᧪ᾖ኿㊂ G1 ߦߘߩๆ෼₸a1(=H1)ࠍដߌߚH1G1 ߪ㧘ᐔ᧼ 1 ߦࠃࠅๆ෼ߐࠇࠆ
߰ߊ኿ࠛࡀ࡞ࠡ࡯ᚑಽ q11 ߣ q21 ߢ᭴ᚑߐࠇߡ޿ࠆ㧚 ߹ߚ㧘೎ߩಾࠅญ߆ࠄ⷗ߡߺࠆߚ߼ߦ㧘ᑼ(14)ߩ qn=J1-G1 ߦᑼ(8)ࠍઍ౉ߔࠆߣ㧘
qn

޽ࠆ޿ߪ

H i E bi  1  H i ¦ Fij J j
j 1

i 1, 2,  , n

(20)

Hi
E bi  J i Ai
1 H i
§ n

·

©j1

¹

H i E bi Ai  H i ¨¨ ¦ Fij J j ¸¸ Ai(21)i 1, 2,  , nࠍ↪޿ߡ⸃ᨆߢ߈ࠆ㧚ߘߒߡ㧘଀߃߫[10]㧘
(a) ⴫㕙ߩ᷷ᐲ Ti ߔߥࠊߜ Ebi(=VTi4)߇ోߡᣢ⍮ߩ႐วߦߪ㧘ฦ⴫㕙ߩ኿ᐲ Ji ࠍᧂ⍮㊂ߣߔࠆ nరㅪ┙৻ᰴᣇ⒟ᑼ(20)ࠍ↪޿ߡ Ji ࠍ᳞߼ࠇ߫㧘
ᑼ(21)ߦࠃࠅฦ⴫㕙ߩᱜ๧ߩ߰ߊ኿ࠛࡀ࡞ࠡ
࡯ߩ੤឵㊂ Qi ࠍ᳞߼ࠆߎߣ߇ߢ߈ࠆ㧚߹ߚ㧘೎ߩ଀[10]ߣߒߡ㧘(b) ✚⸘ 2n ୘ߩ Ti ߣ Qi ߩ߁ߜ n ୘ߦኻߔࠆ୯߇
ਈ߃ࠄࠇࠇ߫㧘ᱷࠅߩ n ୘ߩᧂ⍮㊂ߪ㧘ߎࠇߣn ୘ߩ኿ᐲ Ji ࠍᧂ⍮㊂ߣߔࠆ 2n రㅪ┙৻ᰴᣇ⒟ᑼ(20)߅ࠃ߮ᑼ(21)ࠍ⸃ߊߎߣߦࠃࠅ᳿ቯߢ
߈ࠆ㧚ߎࠇࠄߩ଀ߢߪ㧘✚ᢙ n2 ୘ߩᒻᘒଥᢙ Fij ߪోߡᣢ⍮ߢ޽ࠆߎߣࠍᄢ೨ឭߣߒߡ޿ࠆ㧚ߘ߁ߔࠆߣ‫⋧ޟ‬੕㑐ଥߣ✚๺㑐ଥ߆ࠄᐞߟ߆ߩᒻᘒଥᢙߪ
ઍᢙ⊛ߦ᳿߼ࠄࠇࠆߪߕߛ߇㧘ᦨ⚳⊛ߦߪ৻૕ᐞ
ߟߩᒻᘒଥᢙࠍߘߩቯ⟵ᑼ߆ࠄ᳞߼ߥߌࠇ߫ߥࠄ
ߥ޿ߩ߆‫ޠ‬㧘޽ࠆ޿ߪ೎ߩ⸒޿ᣇࠍߔࠇ߫‫৻ޟ‬૕ᐞߟߩᒻᘒଥᢙࠍ੍߼ߘߩቯ⟵ᑼ߆ࠄ᳞߼ߡ߅ߌ߫㧘ᱷࠅߪ⋧੕㑐ଥߣ✚๺㑐ଥ߆ࠄઍᢙ⊛ߦ᳞߼ࠄࠇ
ࠆߩ߆‫ࠆߥߦߣߎ߁޿ߣޠ‬㧚ߎߩ໧޿ߦኻߒߡߪ
᣿⏕ߥ╵߃[4, 6, 7, 10, 18]߇޽ࠅ㧘଀߃߫㧘‫ޟ‬n ୘ߩ
⴫㕙ߢ࿐߹ࠇߚ㐽ⓨ㑆♽ߦ߅޿ߡ㧘੕޿ߦ⷗ࠆߎ
ߣߩߢ߈ߥ޿ 2 ⴫㕙ߩ⚵วߖߩᢙ߇ p ୘‫⥄ޔ‬ಽ⥄りࠍ⷗ߥ޿⴫㕙ߩᢙ߇ r ୘ߛߌ޽ࠆߣߔࠇ߫㧘߰ߊ኿ࠛࡀ࡞ࠡ࡯੤឵ߩᑼߦ޽ࠄࠊࠇࠆᒻᘒଥᢙߩ
ᢙߪ(n2-2p-r)୘ߣߥࠆ㧚ߒ߆ߒ㧘ᒻᘒଥᢙߦኻߔ
ࠆ৻⥸ᴺೣࠍ↪޿ࠇ߫㧘⋧੕㑐ଥߦࠃࠅ[n(n-1)/2-p]୘㧘✚๺㑐ଥߦࠃࠅ n ୘㧘޽ࠊߖߡ[(n2+n)/2-p]୘ߩ᧦ઙᑼ߇ᓧࠄࠇࠆ㧚ߒߚ߇ߞߡᒻ
ᘒଥᢙߩ✚ᢙߩ߁ߜ[n(n-1)/2-(p+r)]୘ߩ୯ࠍ⍮ࠇ߫㧘ᱷࠅߪ᧦ઙᑼࠃࠅઍᢙ⊛ߦ᳞߼ࠄࠇࠆ‫⺑ߣޠ‬᣿ߐࠇߡ޿ࠆ㧚ߎࠇߪߎࠇߢ⏕߆ߦᱜߒ޿ߩߢߪ
޽ࠆ߇㧘ߎߩ႐ว߽‫ౕࠅߪ߿ޔ‬૕⊛ߥ଀ࠍ߽ߣߦ㧘ߢ߈ࠇ߫ⷞⷡ⊛ߦℂ⸃ߒߡ߅߈ߚߊߥࠆ㧚ߘߎߢ㧘଀߃߫࿑ 5 ߦ␜ߒߚ 3 ߟߩ♽ࠍ଀ߣߒߡ㧘਄ᑼߩ
ዉ಴ㆊ⒟ࠍࡈࠜࡠ࡯ߒߡߺࠆߎߣߦߔࠆ㧚߹ߕ Case 1㨪3 ߦኻߒ㧘ᒻᘒଥᢙ Fij ࠍࡑ࠻࡝࠶

વᾲ 2004 ᐕ 1 ᦬               - 40-વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻⴫ 3 ቯ⟵ᑼ߆ࠄ᳞߼ࠆߴ߈ᒻᘒଥᢙߩᢙ

3
2

3

2

3

2
1

1

䈸䈒኿ᾲ੤឵䈱ᑼ䈮䈅䉌䉒䉏䉎ᒻᘒଥᢙ䈱ᢙ

4
51✚๺㑐ଥ䈫⋧੕㑐ଥ䈱ᑼ䈱✚ᢙ

n2 - 2p - r
F11 F12 F13 F14 F15n+n(n -1)-p2Case 1

6

6

F11 F12 F13F11 F12 F13

F21 F22 F23 F24 F25

Case 2

7

6

F21 F22 F23F21 F22 F23

F31 F32 F33 F34 F35

Case 31512F31 F32 F33

F31 F32 F33

F41 F42 F43 F44 F45

ቯ⟵ᑼ䈎䉌᳞䉄䉎䈼䈐ᒻᘒଥᢙ䈱ᢙF51 F52 F53 F54 F55
Case 1Case 2( n2 - 2p – r )䋭Case 3࿑ 5 㐽ⓨ㑆♽ߩౕ૕଀ߣᒻᘒଥᢙ Fij⴫ 1 ߰ߊ኿ࠛࡀ࡞ࠡ࡯੤឵ߩᑼߦ޽ࠄࠊࠇࠆ
ᒻᘒଥᢙߩᢙ
n22pr

n2 - 2p - r

Case 139

2㬍0 = 03

9-0-3=6

Case 2392㬍0 = 02

9-0-2=7

Case 3525

2㬍3 = 6

4

25 - 6 - 4 = 15n : ⴫㕙䈱ᢙ

6-6=0

Case 2

7-6=1

Case 315 - 12 = 3(22)

A j F jinr : ⥄ಽ⥄り䉕⷗䈭䈇䇮䈜䈭䉒䈤⥄Ꮖᒻᘒଥᢙ䈏Fii = 0 䈫䈭䉎⴫㕙䈱ᢙ

⴫ 2 ✚๺㑐ଥߣ⋧੕㑐ଥߩᑼߩ✚ᢙ⋧੕㑐ଥ䈱ᑼ䈱ᢙFij = Fji = 0 䈫䈭䉎⴫㕙䈱⚵ว䈞䈱ᢙn(n -1)-p
2n(n -1)-p2npCase 1

3

0

3-0=3

3+3=6

Case 2

3

0

3-0=3

3+3=6

Case 35

3

10 - 3 = 7

5 + 7 = 12

✚๺㑐ଥ䈱
ᑼ䈱ᢙ

n(n -1)
䋭(r+p)
2߅ࠃ߮✚๺㑐ଥ㧘p : ੕䈇䈮⷗䉎䈖䈫䈱䈪䈐䈭䈇⴫㕙䇮䈜䈭䉒䈤 Fij = Fji = 0 䈫䈭䉎⴫㕙䈱⚵ว䈞䈱ᢙ

n C2 - p ==Case 1Ai Fijn2 : ᒻᘒଥᢙ䈱✚ᢙછᗧ䈱2⴫㕙䈱⚵ว䈞䈱ᢙ 㵪n(n -1)-p
2

1 ߩࠃ߁ߦߥࠆ㧚ᰴߦ㧘ᰴᑼߢਈ߃ࠄࠇࠆ⋧੕㑐ଥ㧘䈸䈒኿䉣䊈䊦䉩䊷੤឵䈱ᑼ䈮䈅䉌䉒䉏䉎ᒻᘒଥᢙ䈱ᢙ
n

n+

n+

✚๺㑐ଥ䈫⋧੕㑐ଥ䈱ᑼ䈱✚ᢙࠢࠬ⁁ߦ㈩⟎ߔࠆߣ㧘⥄Ꮖᒻᘒଥᢙ Fii ߪኻⷺ✢਄ߦਗ߮㧘٤ߢ࿐ࠎߛᚑಽߪߘߩ‛ℂ⊛ߥᗧ๧߆ࠄ
0 ߣߥࠆ㧚߹ߚ Case 3 ߩࠍઃߒߚᚑಽߪ੕޿ߦ
⷗ࠆߎߣߩߢ߈ߥ޿ 2 ⴫㕙ߩ⚵วߖߢ޽ࠅߎࠇ߽
0 ߣߥࠆ㧚ߘߒߡ㧘ታ✢ߢ࿐ࠎߛᱷࠅߩᚑಽ߇‫߰ޟ‬ߊ኿ࠛࡀ࡞ࠡ࡯੤឵ߩᑼߦ޽ࠄࠊࠇࠆᒻᘒଥᢙ‫ޠ‬ߣߥࠆߎߣ߇⏕⹺ߢ߈ࠆ㧚એ਄ࠍ➙߼ߡ␜ߔߣ⴫

Fi1  Fi 2    Fii    Fin

¦F

ij

1

(23)

j 1

߆ࠄ㧘ߘࠇߙࠇߩ♽ߦኻߒߡㆡ↪น⢻ߥ✚๺㑐ଥߣ⋧੕㑐ଥߩᑼߩ✚ᢙߪ⴫ 2 ߩࠃ߁ߦߥࠆ㧚ߔߥࠊߜ㧘✚๺㑐ଥߩᑼߪ⴫㕙ߩᢙߣ╬ߒߊ n ୘ߢ޽ࠆߩߦኻߒ㧘⋧੕㑐ଥߩᑼߦ㑐ߒߡߪ㧘છᗧߩ 2⴫㕙ߩ⚵วߖߩᢙ nC2 ߆ࠄ੕޿ߦ⷗ࠆߎߣߩߢ߈
ߥ޿ 2 ⴫㕙ߩ⚵วߖߩᢙ p ࠍᏅߒᒁ޿ߡ߅ߊᔅⷐ
߇޽ࠆ㧚ߎߩ㑆ߩ੐ᖱߪ࿑ 5 ߦࠃࠅ⏕⹺ߢ߈ࠆ㧚 એ਄߆ࠄ㧘⴫ 3 ߦ␜ߔࠃ߁ߦ㧘ᦨ⚳⊛ߥᧂ⍮ᢙߩᢙߪ‫ߊ߰ޟ‬኿ࠛࡀ࡞ࠡ࡯੤឵ߩᑼߦ޽ࠄࠊࠇࠆ
ᒻᘒଥᢙߩᢙ‫✚ޟࠄ߆ޠ‬๺㑐ଥߣ⋧੕㑐ଥߩᑼߩ✚ᢙ‫ࠍޠ‬ᒁ޿ߚᱷࠅߣߥࠅ㧘ߎࠇ߇‫ޟ‬ቯ⟵ᑼ߆ࠄ᳞߼ࠆߴ߈ᒻᘒଥᢙߩᢙ‫߇ߣߎࠆߥߣޠ‬ℂ⸃ߢ߈ࠆ㧚ߥ߅㧘ߘߩ㓙㧘߰ߊ኿ࠛࡀ࡞ࠡ࡯੤឵ߩᑼߦ
޽ࠄࠊࠇࠆ(n2-2p-r)୘ߩᒻᘒଥᢙߩਛ߆ࠄ㧘᳞߼ᤃ޿ᒻᘒଥᢙࠍ[n(n-1)/2-(p+r)]୘ߛߌㆬࠎߢ⸘▚ߔࠇ߫ࠃ޿ߣ޿߁⥄↱ᐲ߽ᱷߐࠇߡ޿ࠆ㧚߅ࠊࠅߦ ߰ߊ኿વᾲߦ㑐ߒߡ㧘੹৻ߟߒߞߊࠅߎߥ޿ߣ

ᗵߓߡ޿ߚ੐㗄ߦߟ޿ߡ One-Point ⸃⺑ࠍߐߖߡ㗂޿ߚ㧚⑳⥄りߪߎࠇߢߥࠎߣߥߊ⚊ᓧߒߚᗵߓ

- 41-

Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ߦߪߥߞߡ޿ࠆߩߛ߇㧘⺒⠪ߩ⊝᭽ߦኻߒߡߪㅒ
ߦ‫ߩߤߩޟ‬ዊ㛽‫ࠍޠ‬Ⴧ߿ߒߡߒ߹ߞߚߩߢߪߣෂ
ᗋߒߡ޿ࠆ㧚ߘߩ▵ߪߤ߁߆ߏኈ⿔㗿޿ߚ޿㧚 ᧄ⸃⺑ߦ㑐ߒ㧘੩ㇺᄢቇ࡮’㊁ବ㇢ᢎ᝼ߦήℂ
ࠍ߅㗿޿ߒ⺰ᣦ߿↪⺆ߩ࠴ࠚ࠶ࠢࠍߒߡ㗂޿ߚ㧚⍴ᤨ㑆ߢ㕖Ᏹߦ⹦⚦߆ߟ⾆㊀ߥࠦࡔࡦ࠻ࠍ߅ነߖ
㗂޿ߚ਄ߦ㧘Texas ᄢቇ࡮Howell ᢎ᝼ߩ Web ࠨࠗ࠻ http://www.me.utexas.edu/~howell/ߦᒻᘒଥᢙߦ
㑐ߔࠆ৻ⷩ (A CATALOG OF RADIATION HEATTRANSFER CONFIGURATION FACTORS㧘ߎߩࠨࠗ࠻ߦߪ࠹ࠠࠬ࠻[19]ߩ Appendix B ߦឝタߐࠇߡ޿ࠆᒻᘒଥᢙ 173 ଀ࠍߪࠆ߆ߦ⿥߃ࠆ 299 ଀߇♽⛔┙ߡߡᢛℂߐࠇߡ߅ࠅ㧘㕖Ᏹߦ᦭↪ߥᖱႎ߇ឭ
ଏߐࠇߡ޿ࠆ) ߇౏㐿ߐࠇߡ޿ࠆߎߣ߽߅ᢎ߃޿
ߚߛ޿ߚ㧚ߎߎߦ⸥ߒߡ⻢ᗧࠍ⴫ߒ߹ߔ㧚

[1]
[2]
[3]
[4]
[5]
[6]
[7]

ෳ⠨࠹ࠠࠬ࠻ߣᢥ₂⋧ේ ೑㓶㧘ᯏ᪾Ꮏቇㆬᦠ વᾲᎿቇ㧘ᩣᑼળ␠ ⵷⪇ᚱ㧘(2003).
☿㊁ ⺈৻㧘⪾ጟ Ᏹ㓶 ✬㧘વᾲᎿቇ㧘ਣༀᩣᑼળ␠㧘(1962).
৻⦡ ዏᰴ㧘ർጊ ⋥ᣇ ౒⪺㧘ᦨᣂᯏ᪾Ꮏቇࠪ࡝
࡯࠭ 7 વᾲᎿቇ㧘᫪ർ಴ ᩣᑼળ␠㧘(1995).
↲⮮ ᅢ㇢㧘વᾲ᭎⺰㧘ᩣᑼળ␠ 㙃⾫ၴ㧘(1974).
ዊᨋ ᷡᔒ㧘㘵↰ ཅብ ౒⪺㧘ᣂ⒖േ⺰㧘ᩣᑼળ␠ ᦺୖᦠᐫ㧘(1996).
ᐣม ᱜᒄ㧘᧲੩ᄢቇᯏ᪾Ꮏቇԝ વᾲᎿቇ㧘᧲੩ᄢቇ಴ ળ㧘(1995).
᧖ጊ ᐘ↵㧘ൻቇᎿᬺᎿቇ ᾲᎿቇ✚⺰㧘࿾⃿಴ 㧘(1969).

[8]㑐 ାᒄ ✬㧘વᾲᎿቇ㧘᫪ർ಴
(2002).

ᩣᑼળ␠㧘ᱞጊ ᢩ㇢㧘ᄢ⼱ ⨃⋓㧘⋧ේ ೑㓶 ౒⪺㧘ᄢቇ⻠⟵ વᾲᎿቇ㧘ਣༀᩣᑼળ␠㧘(1983).
[10] ⷏Ꮉ ౗ᐽ㧘⮮↰ ᕶિ ౒⪺㧘ᯏ᪾Ꮏቇၮ␆⻠ᐳવᾲቇ㧘ℂᎿቇ␠㧘(1982).
[11] ᦸ᦬ ⽵ᚑ㧘᧛↰ ┨ ౒⪺㧘ℂᎿቇၮ␆ࠪ࡝࡯࠭
વᾲᎿቇߩၮ␆㧘ᣣᣂ಴ ᩣᑼળ␠㧘(2003).
[12] ᮮၳ ㅴ㧘ਭᚒ ୃ ౒⸶㧘ࠡ࡯࠻ ၮ␆વᾲᎿቇ㧘ਣༀᩣᑼળ␠㧘(1975).
[13] ศ↰ 㛁㧘વᾲቇߩၮ␆㧘ℂᎿቇ␠㧘(1999).
[14] R. B. Bird, W. E. Stewart, and E. N. Lightfoot,TRANSPORT PHENOMENA, Wiley International Edition, (1960).
[15] J. P. Holman, HEAT TRANSFER Ninth Edition,
McGRAW-HILL, (2002).
[16] M. Kaviany, PRINCIPLES OF HEAT TRANSFER, John Wiley & Sons, Inc. (2002).
[17] M. F. Modest, RADIATIVE HEAT TRANSFER,McGRAW-HILL, (1993).
[18] M. Necati ėziúik, BASIC HEAT TRANSFER,McGRAW-HILL, (1981).
[19] R. Siegel and J. R. Howell, THERMAL RADIATION HEAT TRANSFER, McGRAW-HILL,(1972).
[20] E. M. Sparrow and R. D. Cess, RADIATIONHEAT TRANSFER, McGRAW-HILL, (1978).
[9][21] ’㊁ ବ㇢㧘⧯ᨋ ⧷ା㧘વᾲ㧘42-177, (2003),
18-21.

વᾲ 2004 ᐕ 1 ᦬               - 42-વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ߧࠇߣ⴫㕙ᒛജ
Wetting and Surface Tension㜞↰ ଻ਯ㧔਻Ꮊᄢቇ㧕
Yasuyuki TAKATA (Kyushu University)✬㓸ߐࠇߚศ↰⧷↢వ↢߽⸃⺑ [1] ߩਛߢ㧘‫⴫ޟ‬㕙ᒛജߪജߥߩ߆ࠛࡀ࡞ࠡ࡯ߥߩ߆‫⸳ࠍ▵߁޿ߣޠ‬ߌߡ㧘‫ޟ‬ജ‫ߩߡߒߣޠ‬㗻ߦኻߔࠆ৻᛹ߩ⇼໧ࠍㅀߴࠄࠇߡ޿ࠆ㧚⴫㕙ᒛജࠍࠛࡀ࡞ࠡ࡯ߣ⠨߃ࠇ߫㧘න૏ߪ(J/m2)ߢ޽ࠅ㧘න૏㕙Ⓧ޽ߚࠅߩࠛࡀ࡞ࠡ࡯
ߣ޿߁ߎߣߦߥࠅ㧘ߎߩ႐วߪ‫⴫ޟ‬㕙ࠛࡀ࡞ࠡ࡯‫ޠ‬ߣࠃ߫ࠇࠆ㧚
 Dupré ߩᑼߪ⴫㕙ᒛജࠍන૏㕙Ⓧ޽ߚࠅߩ⴫㕙ߦሽ࿷ߔࠆ⥄↱ࠛࡀ࡞ࠡ࡯ߣ⠨߃ߡ㧘ߪߓ߼ߡℂ
⸃ߢ߈ࠆ[2,3]㧚ߘࠇߥࠄ߫㧘Young ߩᑼ߽⴫㕙ᒛജࠍ⥄↱ࠛࡀ࡞ࠡ࡯ߣ޿߁ⷰὐߢዉߊߴ߈ߢ޽ࠆ㧚
ᧄⓂߢߪ㧘߹ߕ⴫㕙ᒛജ߇⥄↱ࠛࡀ࡞ࠡ࡯ߢ޽ࠆ
ߎߣࠍ⏕⹺ߒ㧘ߘࠇ߆ࠄ Laplace ߩᑼ߅ࠃ߮ Youngߩᑼࠍዉ޿ߡߺࠆ㧚߹ߚ㧘ធ⸅ⷺߣ࿕૕⴫㕙ߩ☻ߐߩ㑐ଥߦߟ޿ߡ߽⧯ᐓߩ⸥ㅀࠍⴕ߁㧚

1. ߪߓ߼ߦ
ߧࠇߣ޿߁⃻⽎ߪᶧ૕߇࿕૕⴫㕙ࠍⷒ߁ߎߣࠍ
ᜰߒ㧘ࠦ࡯࠹ࠖࡦࠣ߿ធ⌕ߥߤߩಽ㊁ߢ㊀ⷐߥ⎇ⓥ࠹࡯ࡑߣߥߞߡ޿ࠆ㧚ᦨㄭߪવᾲߩಽ㊁ߢ߽ߧࠇߦኻߔࠆ㑐ᔃ߇㜞߹ߞߡ߅ࠅ㧘╙ 39 ࿁ߣ╙ 40࿁ߩવᾲࠪࡦࡐࠫ࠙ࡓߢ⋧ᄌൻߣߧࠇߦ㑐ߔࠆࡈࡠࡦ࠹ࠖࠕࡈࠜ࡯࡜ࡓ߇㐿௅ߐࠇߚ㧚╩⠪ߪ㧘శ⸅ᇦߩ⿥ⷫ᳓ᕈࠍ⋧ᄌൻ♽ߩવᾲଦㅴߦ೑↪ߔࠆߣ޿߁⎇ⓥࠍⴕߞߡ޿ࠆ߇㧘ߎߩಽ㊁ߢ߽ߧࠇ⃻⽎߇ᷓߊ㑐ࠊߞߡ޿ࠆ㧚ߐߡ㧘࿕૕⴫㕙ߩߧࠇࠍ⺰ߓࠆᤨ㧘ᒰὼߩࠃ߁
ߦ࿑ 1 ߣ Young ߩᑼ߇಴ߡߊࠆ㧚

V SL  V S  V L cos T

0        (1)ߎߎߢ㧘VL㧦ᶧ૕ߩ⴫㕙ᒛജ㧘VS㧦࿕૕ߩ⴫㕙ᒛജ㧘VSL㧦࿕ᶧߩ⇇㕙ᒛജ㧘T㧦ធ⸅ⷺߢ޽ࠆ㧚ߎࠇߪ㧘⴫㕙ᒛജ߿⇇㕙ᒛജࠍജߢ޽ࠆߣߺߥߒ㧘࿑ 1 ߩ A ὐࠍ⿠ὐߣߔࠆ᳓ᐔᣇะߩജߩߟࠅ޽޿
ࠍ⴫ߒߚᑼߢ޽ࠆ㧚ߎߩᤨߩ⴫㕙ᒛജ߿⇇㕙ᒛജߩන૏ߪ(N/m)ߢ޽ࠅ㧘ᢥሼㅢࠅ⴫㕙ᒛജࠍ‫ޟ‬ജ‫ޠ‬ߣߺߥߒߡ޿ࠆ㧚

2. ⴫㕙ᒛജߩቯ⟵ߘ߽ߘ߽⴫㕙ᒛജߩቯ⟵ߪߥࠎߥߩ߆㧚ᢥ₂[2-4]ߦ಴ߡߊࠆቯ⟵ߪᰴߩ㧟ߟߢ޽ࠆ㧚(1) න૏㐳ߐᒰߚࠅߩജ
(2) ⴫㕙ࠍන૏㕙ⓍჇടߐߖࠆߩߦᔅⷐߥ઀੐
(3) ⥄↱ࠛࡀ࡞ࠡ࡯
᷷ᐲߣ૕Ⓧ߇৻ቯߩ♽ߢߪ㧘(3)ߪࡋ࡞ࡓࡎ࡞࠷ߩ
⥄↱ࠛࡀ࡞ࠡ࡯ߦߥࠆ߇㧘ታ↪਄ߪ᷷ᐲߣ࿶ജ߇
৻ቯߩ႐ว߇ᄙ޿㧚ߘߎߢ㧘ᧄⓂߢߪ߹ߕ⴫㕙ᒛജ߇ࠡࡉࠬߩ⥄↱ࠛࡀ࡞ࠡ࡯ߢ޽ࠆߎߣࠍዉ޿ߡߺࠆ㧚 ޿߹㧘޽ࠆᶧ૕ߦ╬᷷㧘╬࿶ਅߢᄖജࠍട߃ߡ
ᄌᒻߒ㧘⴫㕙Ⓧࠍ dA ߛߌჇടߐߖࠆᤨߩ઀੐ߪ
dWex V L dA   (2)Lvapor phase( V )S

A

Tliquid phase( L )SLsolid phase( S )Figure 1: Contact angle and the balance of threeinterfacial forcesߢ޽ࠆ㧚ᄖㇱ߆ࠄട߃ࠆ઀੐ߢ޽ࠆ߆ࠄ⽶ภ߇ߟߊ㧚৻ᣇ㧘ᾲജቇߩ╙৻ᴺೣ߆ࠄ ߒ߆ߒߥ߇ࠄ㧘ᓟㅀߔࠆࠃ߁ߦ㧘ઃ⌕ߧࠇߦኻߔࠆ Dupré ߩᑼߪ⴫㕙ᒛജࠍ‫ޟ‬ജ‫ߣޠ‬⠨߃ߡ޿ߡߪ⺑᣿߇ߟ߆ߥ޿㧚࿑ 1 ߦ߅޿ߡု⋥ᣇะߩജߩ
ߟࠅ޽޿ࠍ⠨߃ߡ޿ߥ޿ߩ߽㧘ߥࠎߛ߆ࠗࡦ࠴ࠠ
ߊߐ޿㧚ု⋥ᣇะߩ਄ะ߈ߩജ V L sin T ߣߟࠅ޽߁ߩߪߤࠎߥജߥߩߢ޽ࠈ߁㧚ᧄภߩ․㓸⸥੐ࠍįQdU  dWdU  pdV  dWex㧩dU  pdV  V L dA (3)ᦨฝㄝ╙ੑ㗄ߪ♽߇๟࿐ߦߥߔ⤘ᒛ઀੐ߢ޽ࠅ㧘- 43-

Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ᶧ૕߿࿕૕ߩ႐วߪήⷞߢ߈ࠆ߶ߤዊߐ޿㧚Ꮐㄝߪ♽߇ᄌᒻߔࠆ㓙ߦ╬᷷ߩ๟࿐߆ࠄฃߌขࠆᾲ㊂ߢ޽ࠆ߆ࠄ㧘
įQ T dS             (4)ߢ޽ࠅ㧘ߎࠇࠍᑼ(3)ߦઍ౉ߒߡᢛℂߔࠆߣ

dG =dU  pdV  T dS V L dA    (5)dG=V L              (6)dA
ߣߥࠅ㧘⴫㕙ᒛജߪන૏㕙Ⓧ޽ߚࠅߦሽ࿷ߔࠆࠡ
ࡉࠬߩ⥄↱ࠛࡀ࡞ࠡ࡯ߣߥࠆ㧚
3. Laplace ߩᑼ ⴫㕙ᒛജ߇⥄↱ࠛࡀ࡞ࠡ࡯ߢ޽ࠆߎߣ߇ዉߌߚ
ߩߢ㧘ᚻᆎ߼ߦ Laplace ߩᑼࠍዉ޿ߡߺࠆ㧚Laplaceߩᑼߪ᳇ᶧ⇇㕙ߩജቇ⊛ᐔⴧࠍขࠅᛒ߁ᤨߦࠃߊ
૶߁ᑼߢ޽ࠆ㧚࿑ 2 ߦ␜ߔࠃ߁ߦ㧘ᶧ૕ਛߦሽ࿷
ߔࠆඨᓘ r ߩ⃿ᒻ᳇ᵃߩ႐วߪ㧘2V
           (7)rߣߥࠆ㧚ߎߎߢ㧘 pS ߪ᳇ᵃౝㇱߩ࿶ജ㧘 pL ߪᶧ૕ౝߩ࿶ജߢ޽ࠆ㧚pS  p L

r

A
VV

Vapor

T

ߢ޽ࠅ㧘╬᷷ߢߩ᳇ᶧਔ⋧㑆ߩᾲ⒖േߪนㅒ⊛ߢ޽ࠆߣߺߥߔߣ㧘ࠛࡦ࠻ࡠࡇ࡯ߩ✚๺߽ᄌൻߒߥ޿߆ࠄ㧘  dSV  dS L

0            (10)  dV

dVV

dVL          (11)ߢ޽ࠆ߆ࠄ㧘ᑼ(9)㨪(11)ࠍᑼ(8)ߦઍ౉ߒߡᢛℂߔࠆߣ㧘ᰴᑼ߇ᓧࠄࠇࠆ㧚dA
         (12)dVඨᓘ r ߩ⃿ᒻ᳇ᵃߩ႐วߪ㧘  
dA 2             (13)dV rߣߥࠅ㧘⏕߆ߦᑼ(7)ߣߥࠆ㧚৻⥸⊛ߥᦛ㕙ߩ႐วߪ㧘ੑߟߩᦛ₸ r1㧘r2 ߇ᔅⷐߢ޽ࠅ㧘Laplace ߩᑼߪᰴᑼߣߥࠆ㧚pV  pLV

pS  p LV¨§1 1· ¸       (14)© r1 r2 ¹

4. Young ߩᑼ ߎࠎߤߪ⴫㕙ᒛജߪࠡࡉࠬߩ⥄↱ࠛࡀ࡞ࠡ࡯ߢ
޽ࠆߣ޿߁┙႐ߢ Young ߩᑼࠍዉ޿ߡߺࠆߎߣߦ
ߔࠆ㧚ߎࠇߦߟ޿ߡߪᢥ₂[4]ߦ߁߹޿⺑᣿߇⸥タߒߡ޽ߞߚ㧚࿑ 3 ߇ߘߩ⺑᣿ߢ޽ࠆ㧚

LiquidpV

0           (9)ߣߥࠆ㧚߹ߚ㧘૕Ⓧߩᄌൻߦߟ޿ߡ߽

ߣߥࠆ㧚ߒߚ߇ߞߡ㧘pL

dUV  dU L

A  dATVV  dVV

T

Figure 2: Vapor bubble in liquid

d AL

SL

 ╬᷷㧘╬࿶ਅߢ㧘᳇ᵃ߇ dV ߛߌ૕ⓍࠍჇടߐߖࠆߣ㧘᳇ᶧ⇇㕙ߩ㕙Ⓧߪ dA Ⴧടߔࠆ㧚ߎߩߣ߈ࠡࡉࠬߩ⥄↱ࠛࡀ࡞ࠡ࡯ߩᄌൻߪ㧘dG

dGV  dGL
dUV  dU L  T dSV  dS L
 pV dVV  pL dVL  (8)V dA
ߢ޽ࠆ㧚ቅ┙♽ߢ޽ࠆߎߣࠍ⠨߃ࠆߣ㧘ᶧ⋧ߣ᳇⋧ߩౝㇱࠛࡀ࡞ࠡ࡯ߩ✚๺ߪᄌൻߒߥ޿߆ࠄ㧘

Figure 3: Liquid drop on solid surface࿕ᶧ⇇㕙ߩ㕙Ⓧࠍ ASL㧘࿕૕⴫㕙ߩ㕙Ⓧࠍ AS㧘ᶧ૕⴫㕙ߩ㕙Ⓧࠍ AL ߣߔࠆ㧚ߎߎߢ㧘ធ⸅ⷺ߇ T o
T  dT ߦᄌൻߔࠆߣ㧘 ࿕ᶧ⇇㕙ߩ㕙Ⓧߪ㧘dASL Ⴧടߔࠆ㧚 ࿕૕⴫㕙ߩ㕙Ⓧߪ㧘dAS(= dASL)ᷫዋߔࠆ㧚 ᶧ૕⴫㕙ߩ㕙Ⓧߪ㧘dAL Ⴧടߔࠆ㧚࿑ 3 ߆ࠄ᣿ࠄ߆ߥࠃ߁ߦ㧘dASL ߣ dAL ߩ㑆ߦߪ㧘

વᾲ 2004 ᐕ 1 ᦬               - 44-વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ᰴߩ㑐ଥ߇޽ࠆ㧚  dALdASL cos T

ASL   (15)

S ro

2

ª
º
4
1  cos T «»2«¬ 2  cos T 1  cos T »¼

(19)ߒߚ߇ߞߡ㧘ࠡࡉࠬߩ⥄↱ࠛࡀ࡞ࠡ࡯ߩჇಽߪdG

V SL  V S dASL  V L dAL
V SL  V S dASL  V L dASL cos T

V SL  V S  V L cos T

0     (17)ߣߥࠅ㧘Young ߩᑼ߇ዉ߆ࠇࠆ㧚 ߒ߆ߒ㧘ᓙߡࠃߣᕁ߁㧚ੑᰴరߩ᫔⁁ߩᶧṢߢਃ⋧⇇✢߇⋥✢ߢ޽ࠆߥࠄ߫࿑ 3 ߩ⺑᣿ߢℂ⸃ߢ߈ࠆ߇㧘⃿ᒻߩ႐วߦᑼ(15)ࠍߔࠎߥࠅฃߌ౉ࠇ
ࠄࠇࠆߛࠈ߁߆㧚ߒ߆߽࿑ 3 ߩ႐วߪធ⸅ⷺߩჇ
ടߣߣ߽ߦ૕Ⓧ߇Ⴧ߃ߡ޿ࠆ㧚⃿ᒻߩᶧṢ߇࿕૕⴫㕙ߦඨ⃿ࠍ૞ࠆߣߔࠆߣ㧘
૕Ⓧߪᄌࠊࠄߥ޿ߪߕߢ޽ࠆ߆ࠄ㧘ធ⸅ⷺ߇Ⴧട
ߒߚᤨߪ࿑ 4 ߩࠃ߁ߦ dASL ߪ⽶ߦߥࠆߪߕߢ޽ࠆ㧚ߔߥࠊߜ㧘ASL ߪᷫዋߔࠆߩߢߪߥ޿߆㧚ߘࠇߢ߽࿑ 3 ߩ⃿ᒻᶧṢߦኻߒߡ㧘

dAL
dASL

2
ASL            (20)1  cos Tߎࠇࠍࡊࡠ࠶࠻ߒߡߺࠆߣ࿑ 5 ߩࠃ߁ߦߥࠆ㧚❑ゲߪ㧘 4S ro 2 ߢ㒰ߒߡ޽ࠆߩߢ㧘⃿ߩ㕙Ⓧߩ૗୚ߢ޽ࠆ߆ࠍ␜ߒߡ޿ࠆߎߣߦߥࠆ㧚ASL ߪធ⸅ⷺߩ
Ⴧടߣߣ߽ߦන⺞ߦᷫዋߒ㧘180qߢ࠯ࡠߦߥࠆ㧚
৻ᣇ㧘AL ߪធ⸅ⷺߩჇടߣߣ߽ߦᕆỗߦᷫዋߔࠆ
߇㧘90qߢᦨዊߦߥߞߚߩߜ㧘180qߢ 1 ߦߥࠆ㧚ਇീᒝࠍᕯߓࠆ߇㧘ᭂዊ୯ࠍᜬߟߣߪᗧᄖߢ޽ߞߚ㧚ߐߡ㧘ᑼ(20)ࠃࠅ㧘AL  (16)ߣߥࠆ㧚ࠡࡉࠬߩ⥄↱ࠛࡀ࡞ࠡ࡯߇ᷫዋߔࠆᣇะ
ߦᄌൻ߇⿠ߎࠅ㧘ᭂዊ୯ߦߥࠆߣᐔⴧ⁁ᘒߦߥࠆ
߆ࠄ㧘

dG
dASL

2/3

2

dAL
dASL

2 ASL
2
§ dASL ·
1  cos T 1  cos T 2 ¨© d cos T ¸¹

1

(21)

ߣߥࠅ㧘ߎࠇߦᑼ(19)ࠍઍ౉ߒߡਤᔨߦ⸃ߊߣ㧘

dAL
dASL

cos T

߇᳞߹ࠆ㧚⃿ᒻᶧṢߩ႐วߢ߽ Young ߩᑼߪᚑࠅ
┙ߟߎߣ߇ࠊ߆ߞߚ㧚㧔ᒰὼߣ⸒߃߫ᒰὼߢ޽
ࠆ㧚㧕㪌

cos T            (18)㪋߇ᚑࠅ┙ߡ߫㧘Yonug ߩᑼ߇ዉߌߚߎߣߦߥࠆ㧚㪘㪣 T㪘 㪪㪣 TT

ASL: area of solid-liquid interface
AL: area of liquid surface

㪊
㪉
㪈

T

㪇㪇

㪋㪌

㪐㪇

㪈㪊㪌

㪈㪏㪇

T

㪚㫆㫅㫋㪸㪺㫋㩷㪸㫅㪾㫃㪼㩷㩿㪻㪼㪾㪀

Figure 4: Liquid drop with constant volume
on solid surface

Figure 5: Change in ASL and AL with T ᑼ(10)߇⃿ᒻᶧṢߩ႐วߦ߽ᚑࠅ┙ߟߎߣࠍ⏕߆߼ࠆߚ߼ߦ㧘ඨᓘ ro ߩ⃿ᒻߩᶧṢ߇࿕૕⴫㕙ߦઃ⌕ߒߡඨ⃿⁁ߩᶧṢࠍᒻᚑߔࠆ႐วࠍ⠨߃ࠆ㧚ߎߩᤨߩ࿕ᶧ⇇㕙ߩ㕙Ⓧ ASL ߅ࠃ߮ᶧ૕ߩ⴫㕙Ⓧ
AL ߪ㧘ធ⸅ⷺT ߩ㑐ᢙߣߒߡᰴߩࠃ߁ߦߥࠆ㧚Young ߩᑼߪ㧘࿑ 6 ߦ␜ߔࠃ߁ߥT >90ºߩ႐วߪᚑࠅ┙ߚߥ޿ߣᦠ޿ߡ޽ࠆᢥ₂[2]߽޽ࠆ㧚ߘߩᩮ᜚ߩ߭ߣߟߪ㧘VL ߪᏱߦᶧ૕ߩ⴫㕙Ⓧࠍዊߐߊߔࠆࠃ߁ߦ૞↪ߔࠆ߆ࠄ㧘࿑ 6 ߩ A ὐࠍฝ஥ߦᒁ
ߞ߬ࠆߪߕߛߣ޿߁ߩߢ޽ࠆ㧚ߒ߆ߒ㧘࿑ 5 ࠍߺࠆߣ㧘AL ߪ 90º߇ᦨዊ୯ߢ޽ࠆ߆ࠄ㧘T >90ºߩ႐ว- 45-

Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻

VL ߇ A ὐࠍᏀ஥ߦᒁߞᒛߞߡ 90º߳ᚯߘ߁ߣߔࠆ
ࠃ߁ߦ૞↪ߔࠇ߫ AL ࠍዊߐߊߔࠆߎߣߦߥࠆ㧚╩⠪ߪ࿑ 6 ߩ႐วߢ߽ Young ߩᑼߪᚑࠅ┙ߟߣ⠨߃
ߡ޿ࠆ㧚

VL

(1)spreading wetting

T

VS

V LS

A

(2)adhesional wetting

Figure 6: Balance of three interfacial forces for
90º<T<180º
5. Dupré ߩᑼ ߧࠇߪᄢ೎ߔࠆߣ㧘࿑ 7 ߦ␜ߔࠃ߁ߦ᜛ᒛߧࠇ
(spreading wetting)㧘ઃ⌕ߧࠇ(adhesional wetting)㧘
ᶐẃߧࠇ(immersional wetting)㧘ߩ㧟ߟߦಽ㘃ߢ߈ࠆ㧚᜛ᒛߧࠇߪ࿕૕⴫㕙ߦᶧṢࠍ߅޿ߚߣ߈ߦ⥄ὼߦ᜛߇ߞߡ޿ߊߧࠇᣇߢ޽ࠅ㧘ធ⸅ⷺߪ࠯ࡠߢ
޽ࠆ㧚޿ࠊࠁࠆ⿥ⷫ᳓⁁ᘒߪ᜛ᒛߧࠇߢ޽ࠆ㧚ઃ⌕ߧࠇߦߟ޿ߡ㧘࿕૕⴫㕙ࠍߧࠄߔ೨ᓟߢߩࠡ
ࡉࠬߩ⥄↱ࠛࡀ࡞ࠡ࡯ߩᄌൻࠍ⠨߃ࠆ㧚࿑ 8 ߦ␜ߔࠃ߁ߦ㧘ඨ⃿⁁ߩᶧṢ߇ᒻ⁁ࠍᄌ߃ߕߦ࿕૕⴫
㕙ߦઃ⌕ߔࠆ߽ߩߣߔࠆ㧚࿑߆ࠄࠡࡉࠬߩ⥄↱ࠛࡀ࡞ࠡ࡯߇㑐ଥߔࠆઃ⌕೨ᓟߩ㕙Ⓧߪ㧘ߟ߉ߩࠃ߁ߦߥࠆ㧚 ઃ⌕೨ߩ㕙Ⓧ㧩ᶧṢߩ⴫㕙Ⓧ㧗࿕૕ߩ⴫㕙Ⓧ   ( AL  ASL )  AS
 ઃ⌕ᓟߩ㕙Ⓧ㧩ᶧṢߩ⴫㕙Ⓧ㧗࿕૕ߩ⴫㕙Ⓧ㧗࿕ᶧ⇇㕙ߩ㕙Ⓧ
AL  ( AS  ASL )  ASL
ߒߚ߇ߞߡ㧘ઃ⌕೨ᓟߢߩ㕙Ⓧߩᄌൻߪ ASL ߣߥࠆ㧚ઃ⌕೨ᓟߦ߅ߌࠆࠡࡉࠬߩ⥄↱ࠛࡀ࡞ࠡ࡯ߩ
ᄌൻߪන૏㕙Ⓧ޽ߚࠅߩ୯ࠍ 'G (J/m2)ߣߔࠆߣ㧘ߎߩ㕙Ⓧ ASL (m2)ߦ㑐ߒߡ
ASL 'G ઃ⌕ᓟߩోࠡࡉࠬ⥄↱ࠛࡀ࡞ࠡ࡯㧙 ઃ⌕೨ߩోࠡࡉࠬ⥄↱ࠛࡀ࡞ࠡ࡯

^A V  A  A V  A V `^ A  A V  A V `
L

L

S

L

SL

SL

S

L

ASL V SL  V S  V L'G < 0 ߩ႐ว㧘ߔߥࠊߜWa 'G V S  V L  V SL ! 0

SL

S

SL

S

(22)
(23)

(3)immersional wetting
Figure 7: Classification of wettingߩᤨߦઃ⌕ߧࠇ߇↢ߓࠆ㧚ᑼ(23)ߪ Dupré ߩᑼߣࠃ߫ࠇ㧘 Wa ߪઃ⌕઀੐ߣ๭߫ࠇࠆ㧚

AL
ASL

AS
Figure 8: Adhesional wettingห᭽ߦ᜛ᒛߧࠇ㧘ᶐẃߧࠇߩ႐วߪ ᜛ᒛߧࠇ㧦 Ws

V S  V L  V SL ! 0(24) ᶐẃߧࠇ㧦 Wi

V S  V SL ! 0(25)ߩᤨߦߧࠇ߇↢ߓࠆ㧚 Ws ࠍ᜛ᒛߧࠇ઀੐㧘 Wi ࠍᶐẃ઀੐ߣ޿߁㧚ߎߎߢߩ⼏⺰ߪ㧘ߔߴߡ⴫㕙ᒛജߪ‫࡞ࡀࠛ↱⥄ޟ‬ࠡ࡯‫┙ߩߣޠ‬႐ߢዷ㐿ߒߡ߈ߚ㧚‫ޟ‬ജ‫ߡߒߣޠ‬⠨߃ࠆߣ㧘ߧࠇߦኻߔࠆ Dupré ߩᑼߪዉ಴ߢ߈ߥ޿㧚વᾲ 2004 ᐕ 1 ᦬               - 46-વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ታ⴫㕙ⓍࠍჇᄢߐࠇࠆߩ߇ℂᗐ⊛ߢ޽ࠆ[6]ߣߐࠇ
ࠆ㧚ታ㓙㧘╩⠪ࠄ߇૶ߞߡ޿ࠆ⿥᠘᳓㕙ߪ࠹ࡈࡠࡦ☸ሶߣ࠾࠶ࠤ࡞ࠍ㔚⸃ࡔ࠶ࠠߦࠃࠅ౒ᨆߐߖߡ
૞ߞߚ߽ߩߢ޽ࠆ߇㧘10Pm એ਄ߩ⤑ෘ߇ߥ޿ߣ㧘ࡈ࡜ࠢ࠲࡞ߥ☻ߐ߇ᒻᚑߐࠇߕ⿥᠘᳓ᕈߪ಴⃻ߒߥ޿㧚߿ߪࠅ⴫㕙ᒛജߪ⥄↱ࠛࡀ࡞ࠡ࡯ߣ⠨߃ࠆߩ߇ᅷ
ᒰߥߩߢ޽ࠈ߁㧚
6. ⿥ⷫ᳓ߣ⿥᠘᳓
߹߃߇߈ߩߣߎࠈߢ߽ㅀߴߚ߇㧘╩⠪ߪ⋧ᄌൻવᾲߦ෸߷ߔߧࠇᕈᓇ㗀ߦߟ޿ߡ⎇ⓥࠍⴕߞߡ޿
ࠆ㧚ᦨㄭ㧘⿥ⷫ᳓ߣ߆⿥᠘᳓ߣ߆߇⹤㗴ߣߥߞߡ޿ࠆ߇㧘ធ⸅ⷺߦࠃࠆಽ㘃ߪ߅߅߻ߨ
⿥ⷫ᳓ᕈ㧦 T <10º⿥᠘᳓ᕈ㧦 T >150ºߢ޽ࠆ㧚 Young ߩᑼ߆ࠄ᣿ࠄ߆ߥࠃ߁ߦ㧘࿕૕ߩ⴫㕙ᒛflat surfaceജVs ߩዊߐߥ࿕૕⴫㕙ߪ᠘᳓ᕈࠍ␜ߔ߇㧘࠹ࡈࡠࡦߥߤߢ߽᳓ߦኻߔࠆធ⸅ⷺߪߖ޿ߗ޿ 110º⒟ᐲߢ޽ࠆ㧚ߘࠇએ਄ߩធ⸅ⷺߦߔࠆߦߪ㧘⴫㕙ߦㆡᒰߥ☻ߐࠍߟߌߥߌࠇ߫ߥࠄߥ޿㧚࿕૕⴫㕙ߦ☻ߐࠍߟߌࠆߎߣߦࠃࠅ㧘࿕૕ߩ⴫㕙ᒛജߣ࿕ᶧߩ
⇇㕙ᒛജߦଥࠊࠆታ㓙ߩ㕙Ⓧ߇Ⴧ߃ࠆ㧚ߘߩ㕙ⓍჇ୚ଥᢙࠍ r ߣߔࠆߣ㧘࿑ 9 ߦ␜ߔࠃ߁ߦ ASL ߇ r
ASL ߦჇ߃ࠆߎߣߦߥࠆ߆ࠄ㧘Young ߩᑼߪᰴᑼߩ
ࠃ߁ߦᄌᒻߐࠇࠆ㧚rV S

r V LS  V L cos T f

TfTflat surface

rough surface(b) T >90º
Figure 10: Effect of surface roughness
on contact angle    (26) ৻ᣇ㧘⬒ߩ⪲ߞ߬ߩࠃ߁ߦ㧘⴫㕙ߦዊߐߥᲫ߇
޽ߞߡ᳓Ṣߩਅߦⓨ᳇ࠍ߆ߺㄟ߻ࠃ߁ߥᒻᑼߩ⿥
᠘᳓⴫㕙ߪ Wenzel ߩᑼߢߪߥߊ㧘Cassie ߩᑼߦᓥ߁㧚Ṗ㕙ߩធ⸅ⷺTߣᰴߩ㑐ଥ߇޽ࠆ㧚r cos T         (27)cos T fQ1 cos T1  Q2 cos T 2      (28)ߎߎߢ㧘Tf ߪߺ߆ߌߩធ⸅ⷺ㧘T1, T2 ߪߘࠇߙࠇᚑ
ಽ 1, 2 ߩ⌀ߩធ⸅ⷺ㧘Q1, Q 2 ߪᚑಽ 1, 2 ߇⴫㕙ࠍභ߼ࠆഀวߢ޽ࠆ㧚ᚑಽ 2 ࠍⓨ᳇ߣߔࠇ߫㧘T2=180ºߣߒߡ⸘▚ߔࠇ߫Tf ߇᳞߼ࠄࠇࠆ㧚 ᦨᓟߦ⿥ⷫ᳓(᜛ᒛߧࠇ)߆ࠄ⿥᠘᳓߳ߣᄌൻߔ
ࠆࠕ࡞ࡒ࠾࠙ࡓ⴫㕙ࠍ⚫੺ߒߡ߅ߎ߁㧚ߎߩ⴫㕙ߪ㧘ࠕ࡞ࡒ࠾࠙ࡓࠍࠛࡔ࡝࡯⚕ߢ⎇⏴ߒߚᓟ㧘ࡊ࡜࠭ࡑᾖ኿ߦࠃࠅ⎇⏴☳ߣࠕ࡞ࡒၮ᧚ߣࠍṁ⌕ߐߖߡ⴫㕙ߦ☻ߐࠍߟߌߚ߽ߩߢ޽ࠆ㧚╩⠪ߩ⎇ⓥ
ቶߩᄢቇ㒮↢ጊਅ⑺ḩำ߇஧ὼ⊒⷗ߒߚ߽ߩߢ޽
ࠆ߇㧘࿑ 11 ߦ␜ߔࠃ߁ߦ㐳ᦼ㑆ߩ߁ߜߦ㧘᜛ᒛߧࠇ߆ࠄ⿥᠘᳓߳ߣᄌൻߔࠆ㧚⇹᳓ൻߩㅜਛߢ㧘ࡊ࡜࠭ࡑࠍᾖ኿ߔࠇ߫⍍ᤨߦ᜛ᒛߧࠇߦᚯࠆ㧚หߓ⴫㕙߇⿥ⷫ᳓ߣ⿥᠘᳓ߩਔᣇࠍⴕ߈᧪ߢ߈ࠆߣ޿
߁ߩߪ㕖Ᏹߦ⃟ߒ޿⃻⽎ߢ޽ࠆ㧚ේ࿃ߪᧂߛਇ᣿

AL
rA S

rough surface(a) T <90º

ᑼ(26)ࠍ Wenzel ߩᑼ[5]ߣ޿߁㧚r ࠍ☻ᐲ࿃ሶߣ޿
޿㧘ታ⴫㕙Ⓧߣಳಲࠍߥࠄߒߡ᷹ቯߒߚ࿕૕ߩ⴫
㕙ⓍߩᲧߢ޽ࠆ㧚Tf ߪ☻㕙ߢߩធ⸅ⷺߢ޽ࠅ㧘ᐔ  cos T f

Tf

T

Tf
rA LS

Figure 9: Water-repellent surface޽߈ࠄ߆ߦ㧘r>1 ߢ޽ࠆ߆ࠄ㧘࿑ 10 ߦ␜ߔࠃ߁ߦ
T <90ºߩᤨߪ㧘Tf ߪTࠃࠅዊߐߊߥࠅ㧘ㅒߦT >90ºߩᤨߪ㧘Tf ߪTࠃࠅᄢ߈ߊߥࠆ㧚ߟ߹ࠅ㧘ߧࠇ߿ߔ޿㕙ߪ߹ߔ߹ߔߧࠇ߿ߔߊ㧘ߧࠇߦߊ޿㕙ߪ߹ߔ߹ߔߧࠇߦߊߊߥࠆ㧚⿥᠘᳓⴫㕙ࠍߟߊࠆߦߪ㧘ࡈ࡜ࠢ࠲࡞ߥ᭴ㅧߢ

- 47-

Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻Contact angle [deg]ߢ޽ࠆ߇㧘᣿ࠄ߆ߦ࿕૕ߩ⴫㕙ࠛࡀ࡞ࠡ࡯߇ᄌൻ
ߒߡ޿ࠆߣ⠨߃ࠄࠇࠆ㧚⴫㕙ߦㆡᒰߥ☻ߐ߇޽ࠆߩߢ㧘ߧࠇ߇ᒝ⺞ߐࠇߡ⿥ⷫ᳓߆ࠄ⿥᠘᳓߳ߣᄌ
ൻߔࠆߩߢ޽ࠈ߁㧚

150

100

50

0
0

Plasma Irradiation Time 300 sec
#320
#600
#1000
#1500
#2000

Irradiation

5

10
15
Lapsed time [week]

Figure 11: Change in contact angle ofplasma-reformed alminum surfaceߎߩࠃ߁ߦ㧘⴫㕙ߩߧࠇߣ☻ߐߪ㕖Ᏹߦ㑐ଥ߇ᷓ޿㧚વᾲᎿቇ⾗ᢱߥߤߢ␜ߐࠇߡ޿ࠆᴣ㛛ᦛ✢ߦߪ㧘⴫㕙☻ߐߩᓇ㗀ߣߒߡ㧘☻ߐ߇Ⴧߔ߶ߤᾲ
વ㆐߇ࠃߊߥࠆࠃ߁ߦቯᕈ⊛ߦឬ߆ࠇߡ޿ࠆ߇㧘නߦ☻ߐߩߺߢߘߩᓇ㗀ࠍ⼏⺰ߔࠆߩߪෂ㒾ߢ޽ࠆ㧚⴫㕙☻ߐߩᓇ㗀ߩ⼏⺰ࠍߔࠆ೨ߦ㧘ߧࠇߩߺߩᓇ㗀ࠍ߹ߕ᣿ࠄ߆ߦߔࠆߎߣ߇㊀ⷐߢ޽ࠆ㧚
7. ߻ߔ߮
⴫㕙ᒛജߪ⥄↱ࠛࡀ࡞ࠡ࡯ߢ޽ࠅ㧘ࠡࡉࠬߩ⥄↱ࠛࡀ࡞ࠡ࡯ߣ޿߁ⷰὐ߆ࠄߢ߽ Laplace ߩᑼ߿Young ߩᑼࠍዉߊߎߣ߇ߢ߈ࠆ⸶ߢ޽ࠆ㧚ߒ߆ߒ㧘⴫㕙ᒛജࠍ‫ޟ‬ജ‫ߚߒߥߺߣޠ‬႐วߩ࿑ 1 ߩ㝯ജߪᝥߡ߇ߚ޿㧚⋥ᗵ⊛ߦಽ߆ࠅ߿ߔ޿߆ࠄߢ޽ࠆ㧚ቇ↢ߦធ⸅ⷺࠍᢎ߃ࠆᤨߪ߿ߞ߬ࠅߎࠇࠍ૶߁ߛࠈ߁㧚ศ↰⧷↢వ↢߆ࠄ㧘ᧄภߩ․㓸⸥੐ߦ߅೨߽૗
߆ᦠߌߣㄼࠄࠇ㧘┙႐਄ᢿࠅ߈ࠇߕߦᛚ⻌ߒߡߒ߹ߞߚ㧚ᒁ߈ฃߌߡ߆ࠄࠪࡑ࠶࠲ߣᕁߞߚ߇㧘⴫㕙ᒛജ߿ߧࠇߦ㑐ߔࠆၮ␆⊛ߥߎߣࠍᓳ⠌ߔࠆ޿޿ᯏળࠍਈ߃ߡ޿ߚߛ޿ߚߣ㧔⴫㕙ߢߪߥߊᔃ߆
ࠄ㧕ᗵ⻢ߒߡ޿ࠆ㧚
ᧄⓂࠍၫ╩ߒߡߺߡ㧘⥄ಽߣߒߡߪ‫ߩߤߩޟ‬ዊ㛽‫ߪޠ‬ᵹߒㄟ߼ߚߣᕁ߁߇㧘߹ߛ⢗ߩߤߎ߆ߢᒁ
ߞ߆߆ߞߡ޿ࠆࠃ߁ߥ᳇߇ߔࠆ㧚ߘࠇ߶ߤߧࠇߣ
⴫㕙ᒛജߩ໧㗴ߪᅏ߇ᷓ޿ߣᕁ߁㧚੹ᐲ߆ࠄߪή
ℂ߿ࠅᵹߒㄟ߻ߎߣߥߊ㧘⚦߆ߊིߺ⎈޿ߡ߆ࠄ
ߦߒࠃ߁㧚
ෳ⠨ᢥ₂
[1] ศ↰⧷↢㧘⴫㕙ᒛജ㧘ᣣᧄᯏ᪾ቇળᾲᎿቇ⻠Ṷળ⻠Ṷ⺰ᢥ㓸㧘pp.657-661, (2001)[2] ੗ᧄ⒤㧘⴫㕙ᒛജߩℂ⸃ߩߚ߼ߦ㧘㜞ಽሶೀⴕળ㧘(1993).
[3] ዊ㊁๟㧘⴫㕙ᒛജ㧘(1976).
[4] ᷰㄝାᷕઁ㧘⴫㕙߅ࠃ߮⇇㕙㧘౒┙಴ 㧘(1973).
[5] ⍹੗ᶻᄦઁ✬㓸㧘ߧࠇᛛⴚࡂࡦ࠼ࡉ࠶ࠢ㧘(ᩣ)࠹ࠢࡁࠪࠬ࠹ࡓ㧘(2001)㧚
[6] ㄞ੗⮍㧘࿕૕⴫㕙ߩỨࠇߣࡈ࡜ࠢ࠲࡞᭴ㅧ㧘࠻ ࡜ࠗ ࡏࡠࠫ ࠬ࠻ 㧘╙ 44 Ꮞ㧘╙ 12 ภ㧘
pp.941-946, (1999)

વᾲ 2004 ᐕ 1 ᦬               - 48-

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻ᄙሹ⾰ᇦ૕ౝߩᾲᵹേ
Heat and Fluid Flow in Porous Mediaਛጊ 㗼㧔㕒ጟᄢቇ㧕
Akira NAKAYAMA (Shizuoka University)ߪߓ߼ߦ
એ೨㧘ડ↹ߐࠇߚ‫ޟ‬વᾲߩᏱ⼂ߣ㕖Ᏹ⼂‫ߢޠ‬ᄙሹ⾰ߩવᾲ[1]ࠍᦠ߆ߒߡ㗂޿ߚߩߢ㧘ߎߎߢߪߘ
ߩ㓙⸅ࠇࠄࠇߥ߆ߞߚ 2 ὐߦ⛉ߞߡㅀߴߡߺߚ޿㧚

㫏㩿㫄㪀
㪊㪇㪇

㪌
㫌㩷㫄㫄㪆㪿㫉

㪉㪌㪇

㪇
㪉㪇㪇

ᄙሹ⾰ᇦ૕ߦႺ⇇ጀㄭૃߪㆡ↪น⢻߆㧫ᄙሹ⾰૕ߩવᾲߦ㑐ߔࠆ⸃⺑ߩᦨೋߦߪ㧘ᔅߕ%JGPI/KPMQY[E\[2]ߩု⋥ᐔ᧼⥄ὼኻᵹߩ⋧ૃ⸃߇㧘ߎߩಽ㊁ߩ⸥ᔨߔߴ߈உᬺߣߒߡ㧘⚫੺ߐࠇߡ޿ࠆ㧚ታߪ㧘ߎࠇࠃࠅ㆚ࠆߎߣ  ᐕ೨ߦ㧘Ⴧጟవ↢[3]߇㧘ࠃࠅ✺ኒߥ⼏⺰ߩਅߦ⋧ૃ⸃ࠍዉ߈㧘ߏ⥄りߩታ㛎⚿ᨐߣᲧセߐࠇߡ޿ࠆ㧚ߎࠇࠍ⍮ࠆᄖ࿖ߩ⎇ⓥ⠪ߪዋߥߊ㧘⑳ߪ㧘ᚒ‫ߎ߈ߴࠆ⹶߇ޘ‬ߩᱧผ⊛੐ታࠍ㧘ᯏળ޽ࠆߏߣߦ㧘ᜰ៰ߒߡ޿ࠆ㧚߽ߜࠈࠎ㧘ᄙሹ⾰ᇦ૕ౝߦ޽ߞߡ߽㧘࿕૕ო㕙ߣᵹ૕ߩ㑆ߦ᷷ᐲᏅ߇޽ࠇ߫㧘⥄ὼኻᵹ߇⊒↢ߔࠆ㧚ߚߛߒ㧘లႯ☸ሶߩሽ࿷ߦࠃࠅ㧘ㅢᏱߪᵹㅦ
ߪૐߊᛥ߃ࠄࠇࠆ㧚ߎߩࠃ߁ߦૐㅦߩ႐วߦߪႺ
⇇ጀ߇ෘߔ߉ߡႺ⇇ጀㄭૃ߇⎕✋ߔࠆߩߢߪߥ޿
߆㧘߹ߚㅒߦ᷷ᐲᏅ߇Ⴧߒ㜞ㅦߦߥߞߚ႐วߦߪ
㧔లႯ☸ሶߩᓘࠃࠅ߽㧕Ⴚ⇇ጀ߇⭯ߊߥࠆߎߣߦ
ߥࠅᄙሹ⾰૕ㄭૃ⥄૕߇⎕✋ߔࠆߩߢߪߥ޿߆ߣ
ߩᩮᧄ⊛ߥ⇼໧߇ᱷࠆ㧚ߎߩὐߦ㑐ߒߡ㧘Ⴧጟవ↢ߪႺ⇇ጀㄭૃߩㆡ↪▸࿐ࠍᰴߩࠃ߁ߦ࡟ࠗ࡝࡯
ᢙߢ␜ߔߎߣߢ㧘᣿⸃ߥ࿁╵ࠍਈ߃ߡ޿ࠆ㧚
150 <Kg E (Tw  Td )lQD

K = 10 12 m 2 , Q = 2.5 × 10 7 m 2 / s

D = 6.3 × 10 7 m 2 / s , E = 1.8 × 10 4 / ͠㪈㪌㪇

Td = 15͠, Tw = 200͠㪈㪇㪇㪈㪏㷄㩷㪜㪻㪾㪼㩷㫆㪽㩷㪹㫆㫌㫅㪻㪸㫉㫐㩷㫃㪸㫐㪼㫉
㪉㪌㷄
㪋㪌㷄
㪐㪇㷄
㪈㪋㪇㷄
㪉㪇㪇㷄

㪌㪇

㪉㪇

㪇

㪋㪇

㪏㪇

㪍㪇

㪈㪇㪇

㪈㪉㪇

㪈㪋㪇

㫐㩷㩿㫄㪀

࿑㧝 ࿾ਅ᳓ߩ⥄ὼኻᵹ㧔ᢥ₂[2]ࠃࠅ㧕ߢ޽ࠅ㧘Ⴚ⇇ጀㄭૃ߇චಽߦᚑ┙ߔࠆ▸࿐ߦ޽ࠆ㧚ᄙሹ⾰ᇦ૕ߢߪ Re=40 ߢ߽ੂᵹߦㆫ⒖ߔࠆ㧫ᄙሹ⾰ᇦ૕ౝߢᵹㅦ߇Ⴧߔߣ㧘࿶ജ㒠ਅ߇ㅦᐲߩੑਸ਼ߦᲧ଀ߒᕆỗߦჇടߒߡ޿ߊ㧚⋥ᓘ d ߩ☸
ሶలႯ♽ᵹࠇኻߒ㧘ᰴߩErgunߩᑼ߇↪޿ࠄࠇࠆ㧚dp
150 ( 1  H )2 uD
1H u 2=P 2 + 1.75 3 U D
3
dx
d
H
d
H

¬­
 Uu 2 ¬­  64= + 1.62 ­­­ 2deq ®­  Redeq­®

< 1000 ߎߎߢ uD  H u ߪ࠳࡞ࠪ࡯ㅦᐲ㧘H ߪ᳇ሹ₸ߢ޽

ߎߎߢ K ߪㅘㆊ₸㧘 l ߪવᾲ㕙ߩ㐳ߐ㧘 Q ߪᵹ૕ߩേ☼ᐲ㧘ߘߒߡ D ߪ᦭ലᾲવዉ₸ࠍ̌ᵹ૕̍ߩ

ࠆ㧚▤ᓘኒᐲߣቯ࿶ᲧᾲߩⓍߢ㒰ߒߚ᦭ലᾲ᜛ᢔ₸ߢ޽ࠆ㧚
࿑ 1 ߪࡑࠣࡑߦࠃࠅ 200͠ߦടᾲߐࠇߚု⋥ጤ⋚߹ࠊࠅߩ࿾ਅߩ࿶❗᳓߇ᤨㅦ 4mm ߢ਄᣹ߔࠆ
႐วࠍ␜ߒ㧘300m ਄ᣇߦߪෘߐ⚂ 80m ߩᏂᄢߥ᷷ᐲႺ⇇ጀ߇ᒻᚑߐࠇߡ޿ࠆ㧚৻⷗㧘Ⴚ⇇ጀℂ⺰ߩㆡ↪▸࿐ᄖߦᕁࠊࠇࠆ߇㧘࡟ࠗ࡝࡯ᢙߪ⚂ 600

- 49-

deq =

32 H
d
150 1  Hߩ▤៺ᡂߩᑼߣኻᲧߐߖߡߺࠆ㧚
Redeq w

udeq

Q

64
! 40 
( ! uQ d ) = 1.62
D⒟ᐲߢጀᵹ߆ࠄ㧔ᐔṖ㕙ੂᵹၞࠍ⚻ߕߦ㧕ቢో☻

Jour. HTSJ, Vol. 43, No. 178

વᾲቇ࡮ᾲᵹ૕ജቇߦ߅ߌࠆ‫ߩߤߩޡ‬ዊ㛽‫ࠍޢ‬ᵹߒㄟ߻㕙ੂᵹߦㆫ⒖ߔࠆߣ޿߁㧘⥄↱ⓨ㑆ߩᵹࠇߢߪ⠨߃ࠄࠇߥ޿̌઒⺑̍ߦㄡࠅ⌕ߊ㧚ታ㓙ߦ૗߇⿠ߎ
ߞߡ޿ࠆ߆ߦߟ޿ߡߪᧂߛਇ᣿ߢ޽ࠅ㧘਎⇇⊛ߦ
⎇ⓥ߇ㅴⴕਛߢ޽ࠆ㧚

વᾲ 2004 ᐕ 1 ᦬               - 50-ෳ⠨ᢥ₂[1]ਛጊ㧘વᾲ 39-154 (2000) 47-48.
[2]Cheng, P. and Minkowycz, W. J., J. GeophysicalResearch 82-14 (1977) 2040-2044.
[3]Ⴧጟ㧘ᯏ⺰ 64-259 (1968) 491-500.

ળ⼏ႎ๔╙䋴࿁ੂᵹᾲ‛⾰ャㅍ࿖㓙ળ⼏㩷 㩿㪫㪟㪤㪫㪄㪇㪊㪀㩷 ႎ๔
Report on the 4th International Symposium on Turbulence, Heatand Mass Transfer (THMT-03), Antalya, Turkey╙㧠࿁ੂᵹᾲ‛⾰ャㅍ࿖㓙ળ⼏ ౒ห⼏㐳 㐳㊁ 㕏ዏ㧔ฬฎደᎿᬺᄢቇ㧕
Yasutaka NAGANO (Nagoya Institute of Technology)㧚ળ⼏ߩ⢛᥊㧞㧚⻠Ṷౝኈ

╙㧠࿁ੂᵹᾲ‛⾰ャㅍ࿖㓙ળ⼏㧔THMT-03㧕߇㧘㧡ઙߩ᜗ᓙ⻠Ṷ߇޽ߞߚ߇㧘⻠ᏧߣߘߩṶ㗴ߪ㧘㧞㧜㧜㧟ᐕ㧝㧜᦬㧝㧞ᣣ߆ࠄ㧝㧣ᣣߦ߆ߌߡ㧘࠻࡞O. Métais: “Large-Eddy Simulations of the Heatࠦߩࠕࡦ࠲࡞ࡗ㧔Antalya㧕ߢ㐿௅ߐࠇߚ㧚⚵❱ᆔຬ

Exchanges㐳ߪ࠺࡞ࡈ࠻Ꮏ⑼ᄢቇߩ Kemal Hanjaliü ᢎ᝼ߣ⑳߇

“Indoor/Outdoor Climate Design by CFD Based on theോ߼ߐߖߡ㗂޿ߚ㧚⚵❱ᆔຬળߩࡔࡦࡃ࡯ߪ㧘ߘߩ

Software Platform”; G. Hetsroni: “Boiling Enhancement

߶߆ߦ T. Gatski㧔NASA㧘ࠕࡔ࡝ࠞ㧕㧘 B.E. Launderwith Surfactants”; J. K. Eaton: “Full-Field Velocity and㧔UMIST, ࠗࠡ࡝ࠬ㧕㧘D. Laurence㧔EDF㧘 ࡈ࡜ࡦ

Temperature Measurements Using Magnetic Resonance

ࠬ/UMIST㧘ࠗࠡ࡝ࠬ㧕㧘K. Suzuki 㧔⦼ᶆᎿᄢ㧘੩ᄢ

Imaging in Turbulent Complex Internal Flows”; A.A.

ฬ⹷ᢎ᝼㧕ߩ⻉వ↢ߢ㧘ળ⼏ߩ੐ോ⽿છ⠪ߪ F. Arincvan Steenhoven: “Counter-Rotating Vortices Behind aᢎ᝼㧔METU㧘࠻࡞ࠦ㧕ߦᜂᒰ㗂޿ߚ㧚ᧄ࿖㓙ળ⼏

Heated Cylinder” ߢ਎⇇⊛ߥ╙৻ੱ⠪ࠍ㓸߼ߡ޿ࠆ㧚ߪ㧟ᐕᲤߦ㐿௅ߐࠇ㧘╙㧝࿁ળ⼏ߪ㧝㧥㧥㧠ᐕߦ࡝৻⥸⊒⴫⺰ᢥߪ㧘㧝㧠㧜ઙߢ޽ߞߚ߇㧘㕖Ᏹߦቇࠬࡏࡦ㧔ࡐ࡞࠻ࠟ࡞㧕㧘╙㧞࿁ળ⼏ߪ࠺࡞ࡈ࠻㧔ࠝ࡜ⴚ⊛ነਈߩᄢ߈޿߽ߩ߇ᄙᢙ޽ࠅ㧘࿖㓙⊛⹏ଔ߇߶ࡦ࠳㧘㧝㧥㧥㧣ᐕ㧕ߢ㧘ߘߒߡ╙㧟࿁ળ⼏ߪฬฎደ߷⏕┙ߒߡ޿ࠆߣᗵߓߚ㧚࠮࠶࡚ࠪࡦ࠹࡯ࡑࠍߑߞ

㧔㧞㧜㧜㧜ᐕ㧕ߢ㐿௅ߐࠇߚ㧚ߣ⷗ߡ߽㧘̌ੂᵹ᭴ㅧߣᾲ࡮‛⾰⒖േ̍㧘̌ੂᵹᾲ‛⾰in

Turbulent

Ducts”;S.

Murakami:ᧄળ⼏ߩෳട⠪ߪᒰᣣߩ⊓㍳⠪ߢ⷗ࠆߣ㧝㧢㧠ฬ

⒖േߦ߅ߌࠆ㕖ቯᏱ⃻⽎̍㧘̌ⴣ⓭㧘೸㔌㧘ౣઃ⌕ᵹߢ㧘ߘߩ߁ߜᣣᧄ߆ࠄߩෳട⠪ߪ㧠㧟ฬߢ޽ߞߚ㧚ߩੂᵹᾲ‛⾰⒖േ̍㧘̌ੂᵹߣߘߩャㅍ⃻⽎ߩࡕ࠺࡝ࠗ࡜ࠢ⚗੎ߪቢోߦ⚳⚿ߒߡ޿ߕ㧘ෳട⠪ߩᷫዋࠍࡦ ࠣ ̍㧘̌ ᾲ ෸ ߮ ‛ ⾰ ⒖ േ ߩ DNS ߣ LES ̍㧘ᔃ㈩ߒߚ߇㧘੍ᗐߦ෻ߒߡኾ㐷ᕈߩ㜞޿࿖㓙ળ⼏ߣ̌RANS/LES ᷙวࡕ࠺࡞෸߮㕖ቯᏱ RANS ̍㧘̌ᷙߒߡߪෳട⠪ᢙߩᄙ޿ㇱ㘃ߦዻߔࠆ߽ߩߣߥߞߚ㧚⋧ᵹੂᵹ̍㧘̌෻ᔕࠍ઻߁ੂᵹ̍㧘̌ᶋജੂᵹ̍㧘̌ⶄ㔀ᣣᧄ߆ࠄߩෳട⠪߇ᄙ߆ߞߚߩߪ㧘೨࿁ߩળ⼏㧔ฬੂᵹߦ߅ߌࠆᾲ‛⾰⒖േ̍㧘̌ੂᵹવᾲଦㅴߣߘߩ೙

ฎደ㧕ߢߩ⹏ଔ߇Ყセ⊛ᅢ⹏ߢ޽ߞߚ߆ࠄߛߣ⡞޿ᓮ̍㧘̌ⅣႺ໧㗴ߣੂᵹャㅍ⃻⽎̍㧘̌↥ᬺ⇇ߦ߅ߌࠆߡ޿ࠆ㧚ᧄળ⼏ߩਥ௅ߪ㧘International Centre for Heat andMass Transfer (ICHMT)ߢ޽ࠆ㧚ICHMT ߩ੐ോ㐳ߩ F.
Arinc ᢎ᝼߇ᧄળ⼏ߩ੐ോ⽿છ⠪ࠍോ߼ߚߩߪߘߩ
ߚ߼ߢ޽ࠆ㧚หᢎ᝼ߩ੐ോಣℂ⢻ജߪ㜞ߊ㧘ᓐߩදജߥߒߢߪ⇣ㇹߩ࿾ߢߎߩࠃ߁ߥ࿖㓙ળ⼏ߪ㐿߆ࠇߥ߆ߞߚߣᕁ߁㧚ICHMT ਥ௅ߩળ⼏ߣߒߡߪ㧘ᦨᄢⷙᮨߩ৻ߟߦ౉ࠆߣߩߎߣߢ޽ࠆ㧚߹ߚ㧘ળ⼏ߪ਄ㅀߒߚࠃ߁ߦᲧセ⊛ኾ㐷⦡߇ᒝߊ㧘✚ߓߡౝኈߪ߆
ߥࠅ㜞޿࡟ࡌ࡞ߢ޽ߞߚ㧚ၮ⺞⻠Ṷࠍ฽߼ߘߩౝኈ
ߩ᭎⇛ࠍએਅߦ⸥ߔ㧚ੂᵹ⃻⽎ߣᾲ‛⾰⒖േ̍㧘̌ᾲᵹ૕⸘᷹ᴺ̍ߥߤ޿ߕ

- 51-

ࠇ߽વᾲᎿቇߩ㊀ⷐ࠹࡯ࡑߢ޽ࠆ㧚TSFP ߣห᭽ߩ✕ᒛᗵࠍෳട⠪ߦਈ߃㧘ળ⼏ߪᚑഞߢ޽ߞߚߣᕁ߁㧚ᧄળ⼏ߩ⺰ᢥࠍౣᩏ⺒ߒߡ㧘࿖㓙ቇⴚ⹹“Int. J.
Heat and Fluid Flow” ߢ․㓸ภ߇಴ߐࠇ߹ߔ㧚߹ߚ㧘ᰴߩળ⼏ߪ㧞㧜㧜㧢ᐕߦ੍ቯߐࠇߡ޿߹ߔ㧚႐ᚲߪධ࡛࡯ࡠ࠶ࡄߩ Dubrovnik ߆ Split㧘߹ߚߪ㖧࿖߇୥⵬ߦ᜼߇ߞߡ޿߹ߔ߇߹ߛ⚵❱ᆔຬળߢᬌ⸛ਛߢߔ㧚ᦨᓟߦߥࠅ߹ߒߚ߇㧘ᧄળ⼏ࠍታᣉߔࠆߦᒰߚࠅ㧘ฦ࿖ߩ 5EKGPVKHKE#FXKUQT[%QOOKVVGG ߩࡔࡦࡃ࡯
ߩߏዧജࠍ⾦ࠅ߹ߒߚ㧚ෘߊᓮ␞↳ߒ਄ߍ߹ߔ㧚

Jour. HTSJ, Vol. 43, No. 178

ㅊᖬࠣ࡝ࠟ࡞ᢎ᝼ㅤ෰ࠍᖬࠎߢ
To the memory of late Professor U. Grigullᐔ↰ ⾫ ⦼ᶆᎿᬺᄢቇ
Masaru HIRATA (Shibaura Inst. of Technology)ࡒࡘࡦࡋࡦᎿ⑼ᄢቇߩ U. Grigull ᢎ᝼߇ 2003 ᐕ
10 ᦬ 20 ᣣߦㅤ෰ߐࠇߚߣߩႎߦធߒ㧘ᔃ߆ࠄຟᖬߩᗧࠍᝤߍߚ޿㧚╩⠪ߪ 1985 ᐕ 7 ᦬߆ࠄ 2 ࡩ᦬㑆㧘ᢥㇱ⋭࿷ᄖ⎇ⓥຬߣߒߡᒰᤨߩൕോవߩ᧲੩ᄢቇ߆ࠄࡒࡘࡦࡋ
ࡦᎿᄢߩᾲജቇ⎇ⓥᚲ(Institut für Thermodynamik,
TU München)ߦᵷ㆜ߐࠇߚ㧚ߎߩ“⎇ⓥᚲ”ߪᣣᧄ
ߩᄢቇߩ“⻠ᐳ”ߦኻᔕߔࠆ߇㧘ᣣᧄߩ⻠ᐳࠃࠅ߽ߪࠆ߆ߦⷙᮨ߇ᄢ߈޿㧚ᒰᤨߩᚲ㐳㧘ߟ߹ࠅ⻠ᐳߩᜂછᢎ᝼߇ Prof. U. Grigull ߢ޽ߞߚ㧚࠼ࠗ࠷ߩᄢቇߢߪ㧘৻ߟߩቇ໧ಽ㊁ߦ৻ߟߩ⻠ᐳ߇ኻᔕߒ㧘ߘߩ⻠ᐳߩࡋ࠶࠼ߢ޽ࠆᢎ᝼ߪ⛘ᄢߥᮭ㒢ࠍᜬߞߡ࠼ࠗ࠷߫߆ࠅ߆਎⇇ࠍ࡝࡯࠼ߔࠆ଀߇ᄙ޿㧚৻዁ഞߥߞߡਁ㛽ᨗࠇࠆࠃ߁ߥᗵߓ߇ߒߥ޿ߢ߽ߥ
޿߇㧘ࡒࡘࡦࡋࡦᎿᄢߩᾲജቇ⻠ᐳߩᱧผࠍ⷗ࠆ
ߣ㧘Karl von Linde㧘W. Nusselt㧘E. Schmidt ߥߤᾲᎿቇಽ㊁ߩ⪺ฬߥቇ⠪߇ฬࠍㅪߨߡ߅ࠅ㧘⎇ⓥቶߢ⢒ߞߚᓟヘ߇వ↢ߩᓟࠍ⛮ߋߣ޿߁ࠃ߁ߥᣣᧄ
ߩᣇᑼࠃࠅ߽㧘࠼ࠗ࠷ࠍਛᔃߦ㧘਎⇇ਛ߆ࠄఝࠇ
ߚቇ⠪ࠍࠬࠞ࠙࠻ߒߡߊࠆ࠼ࠗ࠷ᣇᑼߩ߶߁߇㧘ቇ໧ߩવ⛔ߣ㊀ߺࠍ቞ࠅ㧘␠ળ߳ߩࠗࡦࡄࠢ࠻ࠍ
ᄢ߈ߊߔࠆߚ߼ߦߪലᨐ⊛߆߽ߒࠇߥ޿㧚଀߃߫
19 ਎♿߆ࠄ 20 ਎♿ߩᆎ߼ߦ߆ߌߡߎߩ⻠ᐳߩᢎ᝼ࠍോ߼ߚ Linde ߪ㧘ᢎ᝼࿷⡯ਛߩ 1879 ᐕߦ㧘ⓨ᳇ᶧൻߥߤૐ᷷ᛛⴚߩળ␠ Linde AG ࠍࡒࡘࡦࡋ
ࡦ㇠ᄖߦ⸳┙ߒ㧘ᶧ૕᳓⚛ߥߤ 21 ਎♿㨬᳓⚛ߩᤨઍ㨭ࠍᡰ߃ࠆᛛⴚߩၮ␆ࠍ 120 ᐕ߽೨ߦᜏ޿ߡ޿
ࠆ㧚ࡃࠗࠛ࡞ࡦᎺ᡽ᐭߪ 1995 ᐕߦ㧘㜞࿶᳇૕᳓⚛
߿ᶧ૕᳓⚛ࠍ⥄േゞߦలႯߔࠆࠬ࠲ࡦ࠼ࠍ਎⇇ߦవ㚟ߌߡࡒࡘࡦࡋࡦⓨ᷼ౝߦ⸳⟎ߔࠆߎߣࠍ᳿߼㧘
Linde ␠߇ਛᔃߣߥߞߡ 1998 ᐕߦቢᚑߒߚ㧚࿶❗
᳇૕᳓⚛Ά὾ߩࡇࠬ࠻ࡦࠛࡦࠫࡦߢ⿛ࠆࡃࠬߪࡌ
ࡦ࠷⵾㧘ᶧ૕᳓⚛ࠍゞタߒߡหߓߊࡇࠬ࠻ࡦࠛࡦ
ࠫࡦߢ⿛ࠆਸ਼↪ゞߪ BMW ⵾ߢ޽ࠆ߇㧘᳓⚛ߩ࠲ࡦࠢߪ޿ߕࠇ߽ Linde ⵾ߢ㧘ฦ␠ߣ߽ࡒࡘࡦࡋࡦ
ㄭறߦᧄ␠Ꮏ႐߇޽ࠅ㧘ࡒࡘࡦࡋࡦᎿᄢߩතᬺ↢߇ᵴべߒߡ޿ࠆ㧚⑼ቇᛛⴚߢ਎⇇ࠍ࡝࡯࠼ߒ⛯ߌࠆવ⛔߇⢒ߟℂ↱ߩ৻┵ߪߎߎߦ޽ࠆߛࠈ߁㧚ߎߩᵹࠇߦ೉ߥࠆࠣ࡝ࠟ࡞ᢎ᝼ߪቇ໧⊛ߦߪ෩ߒߊቇ↢ࠍᜰዉߒߡ߅ࠄࠇߚ߇㧘ᆭ෩ߩਛߦ߽㧘વᾲ 2004 ᐕ 1 ᦬               - 52-

࿾ᣇ಴りߩੱߦ․᦭ߩ㧘ߪߦ߆ࠎߛࠃ߁ߥੱ㑆⊛ᥦ߆ߐ߇ᗵߓࠄࠇ㧘ቇ↢ߪᘗߞߡ޿ߚ㧚ᄐߩࡒࡘࡦࡋࡦߪ᫪ߩਛߩࡆࠕࠟ࡞࠹ࡦ߇޽ߜߎߜߦᢔ࿷
ߒߡ޿ߚ߇㧘ቇ↢߿⧯ᚻߩ⎇ⓥ⠪ߚߜߣ࠰ࡈ࠻ࡏ
࡯࡞ߢ৻᳨ᵹߒߚᓟ㧘㨬࠷࡯ࡓ ࡧࠜ࡯࡞!㨭ߣੇ᧰ࠍ➅ࠅ㄰ߒߡ߅ࠄࠇߚ㧚
2002 ᐕ 8 ᦬ߦߪ㧘ࡈ࡜ࡦࠬߩࠣ࡞ࡁ࡯ࡉ࡞ߢ 12࿁⋡ߩ㨬࿖㓙વᾲળ⼏(International Heat Transfer
Conference)㨭߇㐿߆ࠇߚ߇㧘ߎߩળ⼏ߪવᾲᎿቇߩ
ਛߢߪᦨᄢߩ࿖㓙ቇળߢ޽ࠅ㧘㧠ᐕߦ㧝ᐲ㧘਎⇇ฦ࿖ߩ࿁ࠅᜬߜߢ㐿௅ߐࠇߡ߈ߚ㧚ᣣᧄߢߪ 1974
ᐕ 9 ᦬ߦ㧡࿁⋡ߩળ⼏߇᧲੩ߩ⚻࿅ㅪળ㙚ߢ㐿߆ࠇߡ޿ࠆ㧚ߎߩળ⼏ߩ╙㧝࿁ߪ 1951 ᐕߦࡠࡦ࠼ࡦ
ߢ㐿௅ߐࠇߡ޿ࠆ߇㧘☨࿖ߩ Prof. E.R.G. Eckert㧘
Prof. T.F. Irvine㧘Prof. J.P. Hartnett㧘⧷࿖ߩ Prof. D.B.
Spalding㧘ࡈ࡜ࡦࠬߩ Prof. E.A. Brun㧘࠼ࠗ࠷ߩ Prof.
U. Grigull㧘ߘࠇߦᣣᧄߩ⷏⣁ੳ৻ᢎ᝼㧘᳓⑼◊㇢ᢎ᝼ߥߤߩᣇ‫߇ޘ‬ਛᔃߣߥߞߡ㧘ᣣᧄ㧘☨࿖㧘⧷࿖㧘ࠗࠬ࡜ࠛ࡞㧘ࠞ࠽࠳㧘⷏࠼ࠗ࠷(ᒰᤨ)㧘ࡈ࡜ࡦࠬ㧘࡙࡯ࠧࠬ࡜ࡆࠕ㧘࠰ㅪ(ᒰᤨ)ߩฦ࿖߆ࠄㆬ
಴ߐࠇߚᯏ᪾Ꮏቇ♽ߣൻቇᎿቇ♽ߩᆔຬ㧞ੱߕߟߢ᭴ᚑߔࠆ The Assembly for International Heat
Transfer Conferences ߣ޿߁ᆔຬળࠍ⚵❱ߒ㧘ࠝ࡝ࡦࡇ࠶ࠢߩࠃ߁ߦᰴߩ㐿௅࿖ߥߤࠍ᳿߼ߡࠁߊᣇ
ᴺߢㆇ༡߇ⴕࠊࠇߡ߈ߚ㧚᧲੩ߩળ⼏ߪ㧘╩⠪ߩᕲᏧ࡮⷏⣁ᢎ᝼ࠍ⚵❱ᆔຬ㐳ߣߒߡ㧘᧲ᄢߩౝ↰⑲㓶ᢎ᝼߇ታⴕᆔຬ㐳ࠍോ߼ࠄࠇ㧘╩⠪ߪᆔຬߣߒߡ⿛ࠅ࿁ߞߚ߇㧘700 ੱ૛ߩෳടࠍᓧߡ⋓ળߦ⚳ࠊߞߚ㧚㐿ળᑼߢს਄ߦ㧘⷏⣁ᢎ᝼ߣࠣ࡝ࠟ࡞
ᢎ᝼߇ਗࠎߢ⌕Ꮸߐࠇ⺣╉ߒߡ߅ࠄࠇߚߩ߇ශ⽎⊛ߢ޽ߞߚ㧚ࠣ࡝ࠟ࡞ᢎ᝼ߪߘߩ㧤ᐕᓟߦ╙㧣࿁ࡒࡘࡦࡋࡦળ⼏ࠍਥ௅ߐࠇߚ߇㧘ߘߩᙣⷫળߪࡒ
ࡘࡦࡋࡦߩ᦭ฬߥࡎࡈࡉࡠࠗࡂ࠙ࠬߢ⋓ᄢߦⴕࠊࠇ㧘వ↢ߩ ⣨ Prof. J. Straub ਥዉߩ᱌޽ࠅ〭ࠅ޽ࠅߩ⾟߿߆ߐߩਛߢ㧘వ↢߇⷗੐ߥࠬ࠹࠶ࡊߢࡢ
࡞࠷ࠍ〭ࠄࠇߚᗧᄖᕈ߇㞲ὓߥ⸥ᙘߦᱷߞߡ޿ࠆ㧚෩ߒ޿ਛߦ޽ߚߚ߆ߊ⚛ᧉߢ⼾߆ߥੱ㑆ᕈࠍ൮ߺㄟࠎߛ 20 ਎♿ߩᏂᤊࠍવᾲቇ⇇ߪᄬߞߚ㧚ᔃ߆ࠄߏ౵⑔ࠍ␨ࠅߚ޿㧚ㅊᖬࠣ࡝ࠣ࡞ᢎ᝼ߩᱫࠍᖬ߻
To the memory of late Professor Ulrich Grigull㐳ፉ ᤘ㧔ᘮᙥ⟵Ⴖᄢቇ㧕
Akira NAGASHIMA (Keio University)⩲ේ⩲㓶㧘૒⮮ବߘߩઁ߇ઍ⴫ߢ㧘ᒰᤨߩ⪺ฬቇ⠪ߣ↥ᬺ⇇ߩᄢ┙ߡ⠪ߣ౒ߦ㧘ߘߩᓟᾲജቇ㧘ࠛࡀ࡞ࠡ࡯㧘વᾲߩߐ߹ߑ߹ߥಽ㊁ߢᵴべߔࠆߎߣߦߥࠆቇ⠪ࠍ฽ࠎߢ޿ߚ㧚ࠣ࡝ࠣ࡞ᢎ᝼ߪ㧘ߘߩᓟ߽㐳ᐕߦࠊߚࠅ㧘વᾲߥߤᐢ޿ಽ㊁ߢ਎⇇ߩ࡝࡯࠳࡯ߩ৻ੱߣߒߡᵴべߐࠇߚ߇㧘ߘߩ਎⇇⥰บ߳ߩ⊓႐ࠍᒝߊශ⽎ߠߌߚߩ߇ߎߩ࠾ࡘ࡯࡛࡯ࠢળ⼏ߢ޽ߞߚࠃ߁ߦᕁ߃
ࠆ㧚⫳᳇ᕈ⾰ߩ⎇ⓥߦߟ޿ߡߪ㧘ߘߩᓟ㐳޿㑆㧘․ߦᾲᔃߦ਎⹤ࠍߐࠇ㧘਎⇇ฦ࿾ߢ㐿௅ߐࠇߚℂ੐ળ╬ߦߪᰳ߆ߐߕ಴Ꮸߐࠇߚ㧚ᓟߦߪ࿖㓙⫳᳇ᕈ⾰දળߩળ㐳߽ോ߼ࠄࠇߚ㧚߹ߚ㧘ฦ࿖ߩ࿖㓙⫳᳇⴫ߩ߁ߜߢ߽㧘࠼ࠗ࠷Ꮏቇදળ㨂㧰㧵ߩ ߪ㧘ߘߩ✬㓸ᣇ㊎߇వዉ⊛߆ߟ↥ᬺ⽸₂⊛ߢ޽ࠆ߇㧘ߎࠇߪࠣ࡝ࠣ࡞ᢎ᝼ߩᒝ޿࡝࡯࠳࡯ࠪ࠶ࡊߢㅴ߼
ࠄࠇߚఝᦠߢ޽ߞߚ㧚࠼ࠗ࠷ߩࡒࡘࡦࡋࡦᎿ⑼ᄢቇߩᢎ᝼߿ᓟߦቇ㐳ࠍോ߼ࠄࠇ㧘࿖㓙⊛ߦવᾲቇ߿⫳᳇ᕈ⾰㧘ᾲജቇߩಽ㊁ߢ㗼⪺ߥ⽸₂ࠍߐࠇߚ࠙࡞࡝࠶ࡅ࡮ࠣ࡝ࠣ
࡞ᢎ᝼߇㧘2003 ᐕ 10 ᦬ 20 ᣣߦㅤ෰ߐࠇߚ㧚ቇ໧⊛ᬺ❣ߣ൮ኈജ޽ࠆ߅ੱᨩߢ㧘਎⇇ߦ⍮ࠄࠇߚᄢ߈ߥሽ࿷ߢ߅ࠄࠇߚߛߌߦ㧘߭ߣߟߩᤨઍߩ᐀߇
㒠ࠅߚᕁ޿߇ߔࠆ㧚ᔃ߆ࠄߏ౵⑔ࠍ␨ࠅߚ޿㧚╩⠪߇ࠣ࡝ࠣ࡞ᢎ᝼ߦೋ߼ߡ߅⋡ߦ߆߆ߞߚߩ
ߪ㧘1963 ᐕߩߎߣߥߩߢ㧘ߜࠂ߁ߤ 40 ᐕ೨ߩߎߣߦߥࠆ㧚ߘߩᐕߦ࠾ࡘ࡯࡛࡯ࠢߢ㐿௅ߐࠇߚ╙㧢࿁࿖㓙⫳᳇ᕈ⾰ળ⼏㧔㧵㧯㧼㧿㧕ߪ㧘߹ߛ࿖㓙ળ⼏߇⃟ߒ޿㗃ߢ޽ߞߚߩߢ㧘㧭㧿㧹㧱߇ᄢᄌߥജࠍ޿ࠇߡ㐿௅ߒߚ㧚╩⠪ߪ㧘ߘߩ೨ᐕ߆ࠄ⇐ቇߒߡ޿ߚࡉ࡜࠙ࡦᄢቇߢߩᜰዉᢎ᝼ࠤࠬ࠹ࠖࡦᢎ
᝼߇☨࿖ઍ⴫ߩ৻ੱߢ޽ࠅ㧘߹ߚᣣᧄߢߩᜰዉᢎ
᝼⼱ਅᏒ᧻ᢎ᝼߇ᣣᧄઍ⴫ߢ಴Ꮸߐࠇߚ✼ߢ㧘ߎߩળ⼏ߩ߅ᚻવ޿ࠍઔߖߟ߆ߞߚ㧚ᒰᤨߩࠣ࡝ࠣ࡞ඳ჻ߪ⧯ߊജᒝ޿዁ᩞߩࠃ߁ߥ
ᗵߓߢ㧘࠼ࠗ࠷ઍ⴫㧱㧚ࠪࡘࡒ࠶࠻ᢎ᝼ࠍりㄭߢ⵬૒ߒ㧘ળ႐ߢ߽⋡┙ߟሽ࿷ߢ㧘ශ⽎⊛ߢ޽ߞߚ㧚ળ⼏ߢߪ㧘ߐࠄߦ⧯ߊߡቇ↢㘑ߩࡑࠗࡦࠟ࡯ඳ჻
ߩᣇ߇࠼ࠗ࠷ࠍઍ⴫ߒߡ⻠Ṷࠍߒߚ㧚ࡒࡘࡦࡋࡦ
Ꮏ⑼ᄢቇߩ㧱㧚ࠪࡘࡒ࠶࠻ᢎ᝼ߩ⻠ᐳߪࠣ࡝ࠣ࡞
ᢎ᝼߇⛮޿ߛߩߢ޽ࠆ߇㧘ߘߩߐࠄߦ޽ߣࠍࡑࠗ
ࡦࠟ࡯ᢎ᝼߇⛮޿ߛ㧚⫳᳇ᕈ⾰⎇ⓥߪ㧘1920 ᐕઍ߆ࠄࠛࡀ࡞ࠡ࡯࡮േ
ജಽ㊁ߢ࿖㓙⊛ߥផㅴ࡮⺞ᢛߩᔅⷐᕈࠍ⹺߼ࠄࠇ
ߚ⎇ⓥߢ㧘࿖㓙ળ⼏㐿௅ߩዋߥ޿ᤨઍߦߪ㧘ᐢߊᎿቇ߿ᛛⴚߩ࿖㓙੤ᵹߦᄢ߈ߥᓎഀࠍᨐߚߒߚ㧚
1963 ᐕߩળ⼏ෳട⠪㧔ᢘ⒓⇛㧕ࠍ⷗ߡ߽㧘☨࿖ߩ
Keenan(MIT)㧘Keyes(MIT)㧘Kestin(Brown), Spencer(GE)㧘Cisler(Detroit Edison)㧘࠼ࠗ࠷ߩ E. Schmidt(Munick)㧘K.R. Schmidt (Siemens)㧘U. Grigull㧘H.D.
Baehr㧘F. Mayinger㧘࠰ㅪߩ Vukalovich㧘Sychev㧘⧷࿖ߩ Newitt㧘Campbell㧘Haywood㧘LeFevre㧘ࠞ࠽࠳ߩ Whalley ߥߤ㧘ߘߒߡᣣᧄ߆ࠄߪ⼱ਅᏒ᧻㧘
U. Grigull ᢎ᝼-53-

Jour. HTSJ, Vol. 43, No. 178

ㅊᖬࠣ࡝ࠣ࡞ᢎ᝼ߣߘߩ⎇ⓥ࠴࡯ࡓߩቇ໧⊛ᬺ❣ߪ㧘ߎߎߢ೉᜼ߔࠆ߹ߢ߽ߥߊ㧘࿖㓙⊛ߦᐢߊ⍮ࠄࠇߡ޿ࠆ߇㧘⫳᳇ᕈ⾰ߩ⎇ⓥ㧘વᾲߩ⎇ⓥࠍ㧞ᧄߩᩇߣߒߡ㧘ᄙᢙߩ⎇ⓥ⺰ᢥ߇⊒⴫ߐࠇ㧘ߘߩ߶߆㧘࠼ࠗ࠷ߩ⫳᳇⴫ߩ✬➏࡮⊒ⴕ㧘ᾲജቇ߿ᾲવዉ࡮
વᾲߩᢎ⑼ᦠߥߤᢎ⢒㕙ߩᬺ❣㧘ߥߤࠍ᜼ߍࠆߎ
ߣ߇ߢ߈ࠆ㧚ቇ໧⎇ⓥߦ߅ߌࠆᬺ❣ߣ㧘ᢎ⢒࡮໪⫥ߦ߅ߌࠆᬺ❣ߦട߃ߡ㧘ᄢቇⴕ᡽ߩᬺ❣߇޽ࠆ㧚ࡒࡘࡦࡋࡦᎿ⑼ᄢቇߩቇ㐳ߣߒߡ㧘ᄙᐕߦࠊߚࠅ
ᄢቇㆇ༡ߦ߽ജࠍᵈ߇ࠇߚ߇㧘╩⠪ߪߎߩ㕙ߢߩ⹦⚦ߦߟ޿ߡߪ⍮⼂߇ߥ޿㧚ߚߛ㧘ߘߩ㑆ߦળ⼏ߢ߅⋡ߦ߆߆ࠆᯏળ߇޽ࠆߣ㧘޿ߟ߽ᄢᄌߥߏᄙ
ᔔߩࠃ߁ߔߢ㧘♖ജࠍᵈ޿ߢᾲᔃߦขࠅ⚵ࠎߢ߅ࠄࠇߚߎߣࠍផኤߒߚߩߺߢ޽ࠆ㧚ࠣ࡝ࠣ࡞ᢎ᝼ߪ 1912 ᐕߦ᧲ࡊࡠࠪࡖߩࠟ࡝ࡦ
ࠥࡦߢ↢߹ࠇ㧘1935 ᐕ࠳ࡦ࠷ࠖ࠶ࡅᄢቇࠍතᬺ㧘
E. Schmidt ᢎ᝼ߩഥᚻࠍോ߼ߚᓟ㧘⥶ⓨᯏ߿ẜ᳓⦘㑐ㅪߩ⎇ⓥߦ៤ࠊࠅ㧘1960 ᐕ߆ࠄࡒࡘࡦࡋࡦᎿ
ᄢߩᢎ᝼ߦዞછߐࠇߚ㧚ߤߩࠃ߁ߥⅣႺߢ⢒ߚࠇߚߩ߆⹦ߒ޿ߎߣߪ╩⠪ߪ⍮ࠄߥ޿߇㧘ᢎ᝼ߪઁੱߩ࿎㔍߿⧰ߒ޿⁁ᴫߦኻߒߡ㕖Ᏹߦᢅᗵߢ㧘⚦
߿߆ߥ᳇㈩ࠅߩⴕ߈ዯ޿ߚੱߢ޽ߞߚ㧚㧞㧜ᐕ߽೨ߩߎߣ㧘࠼ࠗ࠷ߢߩળ⼏ߩว㑆ߦ㧘ࠣ࡝ࠣ࡞ᢎ
᝼ߩᜰዉࠍฃߌߡ޿ߚ⧯޿⎇ⓥ⠪ߩ৻ੱߣ㧘ࠕ࡞ࠦ࡯࡞ࠍ㘶ࠎߢ㔀⺣ࠍߒߡ޿ߚߣߎࠈ㧘ߘߩੱ߇⓭ὼᶡࠍᵹߒߚߎߣ߇޽ࠆ㧚⡞ߊߣ㧘⚻ᱧ⊛ߦ⧰ᴫߦ޽ߞߚߘߩੱࠍ㧘ࠣ࡝ࠣ࡞ᢎ᝼߇⋡┙ߚߥ޿᳇㆜޿ߢᏱߦᡰេߒߡߊࠇߡ޿ࠆߣߩߎߣߢ޽ߞߚ㧚╩⠪⥄り߽㧘ߘߩࠃ߁ߥ৻┵ࠍ߆޿߹⷗ߚᗵߓ
ࠍ⚻㛎ߒߚߎߣ߇޽ࠆ㧚޽ࠆᤨ㧘࠼ࠗ࠷ߢ⫳᳇ᕈ⾰ߩᆔຬળ߇㐿߆ࠇ㧘ߚ߹ߚ߹ᐜ޿ሶଏ㆐ࠍㅪࠇ
ߡෳടߒߚߣߎࠈ㧘ㆇᖡߊሶଏ㆐߇᳓∧ߩ∝⁁ߦ

વᾲ 2004 ᐕ 1 ᦬               - 54-ߥࠅ㧘ኅౝߣ߽ߤ߽⧰ഭߒߚ㧚ߎࠇߦ᳇ߠ߆ࠇߚ
ࠣ࡝ࠣ࡞ᢎ᝼ߪ㧘⥄ಽߩ⒁ᦠߦᜰ␜ߒߡ╩⠪ࠄߩࡎ࠹࡞ߩᚻ㈩╬ߩ޿ࠈ޿ࠈߥ਎⹤ࠍߒߡਅߐߞߚ㧚ߘߩ㓙ߩᜰ␜ߩ⚦߿߆ߢ㧘╩⠪ࠄߩ᳇ᜬߜࠍ޿ߜ
޿ߜ⏕⹺ߒߡਅߐࠆ߅᳇㆜޿ߦߪᷓߊᗵᔃߒߚ㧚ࡒࡘࡦࡋࡦᎿ⑼ᄢቇߩᾲജቇࠗࡦࠬ࠹ࠖ࠹ࡘ࡯
࠻ߪ㧘ฎߊ߆ࠄ㧘ⓨ᳇ᶧൻߩ Linde㧘ಝ❗⎇ⓥߥ
ߤߩ Nusselt㧘Ꮏᬺᾲജቇߩ E. Schmidt ߣ޿߁㧘ᄢవ↢ߚߜߩવ⛔ࠍ⛮ᛚߔࠆฬ㐷ਛߩฬ㐷ߢ޽ߞߚ߇㧘ࠣ࡝ࠣ࡞ᢎ᝼ߩ⛔₸ࠃࠈߒ߈ࠍᓧߡ㧘⚛᥍ࠄߒ޿⎇ⓥ࠴࡯ࡓ߇⛽ᜬߐࠇ㧘㤛㊄ᤨઍࠍ▽޿ߚ㧚⧯޿⎇ⓥ⠪߳ߩࠣ࡝ࠣ࡞ᢎ᝼ߩᜰዉߩ⒁⸬ߪ㧘෩ߒߐߣ౒ߦ㧘ఝߒ޿᳇㈩ࠅߩࡃ࡜ࡦࠬߦ޽ߞߚࠃ
߁ߦᕁ߁㧚޽ࠆߣ߈㧘╩⠪߇ࠗࡦࠬ࠹ࠖ࠹ࡘ࡯࠻
࿾ਅቶߩታ㛎ቶࠍ⷗ቇߒߡ޿ࠆߣ߈㧘㒮↢߇߈ߜࠎߣࡀࠢ࠲ࠗࠍߒ߼㧘޿ߟߦߥߊ✕ᒛߒߡ޿ࠆߩ
ߢ㧘዆ߨࠆߣ㧘੹ᣣߪඦᓟ㧞ᤨߦࠣ࡝ࠣ࡞ᢎ᝼߇
ታ㛎ⵝ⟎ࠍ⷗ߦߎࠄࠇࠆߣ޿߁ߎߣߢ㧘ߚߞߚߘࠇߛߌߩߎߣߦ㧘㒮↢ߪᚻవ߇߱ࠆ߱ࠆߣ㔡߃ߡ޿ࠆࠃ߁ߥ✕ᒛ߱ࠅߢ޽ߞߚ㧚ߘߩࠃ߁ߥ෩ߒߐ
߇৻ᣇߦ޽ߞߡ㧘߹ߚ৻ᣇߢߪ㧘⎇ⓥቶࡔࡦࡃ࡯
߳ߩ⺈ߦᥦ߆޿᳇㈩ࠅ߇޽ߞߡ㧘㐳޿ᦼ㑆ߦࠊߚࠆ࠴࡯ࡓࡢ࡯ࠢ߇⊒ើߢ߈ߚߩߢ޽ࠈ߁㧚
Mayinger, Straub ਔᢎ᝼ࠍߪߓ߼⚛᥍ࠄߒ޿ੱ⣂ߦ߽㧘ࠣ࡝ࠣ࡞ᢎ᝼ߩ߅ੱᨩ߇ᶋ߆߮਄߇ߞߡߊ
ࠆ㧚ࠣ࡝ࠣ࡞ᢎ᝼ߪ㧘ቇ⠪ખ㑆ߣߩⷫߒ޿᱑⺣ߩᤨߢ߽㧘᷷㗻ߩਛߦ᳿ߒߡᘒᐲߩੂࠇࠆߎߣ߇ή߆
ߞߚ㧚࠼ࠗ࠷ࠍઍ⴫ߔࠆ⚩჻ߢ޽ࠅ㧘㛉჻ߩࠃ߁ߥࡁ࡯ࡉ࡞ߥ㔓࿐᳇߽ߚߚ߃ߡ߅ࠄࠇߚ㧚㐳ᐕߦࠊߚߞߡᕁ޿⿠ߎߔߎߣߪዧ߈ߥ޿߇㧘உᄢߥቇ⠪࡮ᢎ⢒⠪ߣஉᄢߥੱ㑆ࠍᄬߞߚ᳇߇ߒߡߥࠄߥ
޿㧚ᡰㇱᵴേႎ๔

ർ㒽ା⿧ᡰㇱᵴേႎ๔
Report of Hokuriku-shin-etsu Branchᐔ↰ ືᄦ㧔ାᎺᄢቇ㧕
Tetsuo HIRATA (SHINSHU University)ᙸ‫˟ܖ‬Ὁᅸ‫ܓ‬ἍἱἜὊᴾߒߡਈ߃ࠆᓇ㗀ࠍャㅍᣇ⒟ᑼߩ⸃ᨆߦࠃߞߡ⺞ߴ㧘Ά὾ߦ㑐ߔࠆ㗄ߩࡕ࠺࡞ൻࠍⴕߞߚ㧚ᵆᵐᵇᕓ‫׹‬ᐯ໱ᆰϬᩓ‫܇‬ೞ֥ỉሆ˳ͼẨỆợỦ໺ᆳјௐίီễỦሆ˳ἇỶἌỉ‫ئ‬ӳὸᴾർ᧛㓁ఽ㧔ንጊ⋵ᄢ㒮㧕㧘⍹Ⴆ ൎ㧔ንጊ⋵ᄢ㧕㧘ਛᎹᘕੑ㧔ንጊ⋵ᄢ㧕㨇᭎ⷐ㨉 ࡁ࡯࠻ဳ 2% ࠍᗐቯߒ㧘⥄ὼⓨ಄ߩ಄ළᕈ⢻ࠍჇടߐߖࠆᚻᲑߣߒߡ╲૕ࠍ௑ߌࠆߎߣߢ
ߩ಄ළലᨐ㧔ᾍ⓭ലᨐ㧕ߩะ਄ߦߟ޿ߡᬌ⸛ࠍⴕ
ߞߚ㧚ࡅ࡯࠲ࠍ⾍ઃߌߚᐔ㕙⊒ᾲ૕ࠍ↪޿ߡታ㛎ࠍⴕ޿㧘╲૕ࠨࠗ࠭ࠍ⠨ᘦߒߚୃᱜઍ⴫ኸᴺߩᬌ
⸛߅ࠃ߮╲૕ߩ௑ᢳⷺᐲ߇ ޯ ᐲߩߣ߈಄ළ
ലᨐ߇ᦨᄢߦߥࠆߎߣࠍ᣿ࠄ߆ߦߒߚ㧚ᴾ ᵆᵑᵇ࿢‫ؾ‬༏᝟ᒵửӖẬỦሆ˳ỉภࡇʖยᴾ
ዊ═ේ৻ၮ㧔ᣂẟᄢ㒮㧕㧘᧻ේᐘᴦ㧔ᣂẟᄢ㧕㧘ዊᨋ⌬ᄦ㧔ᣂẟᄢ㧕㨇᭎ⷐ㨉 ૑ዬ㧘ᐫ⥩㧘ή✢ᯏ߿⸘ེ᷹ߩ෼⚊ࠪࠚ࡞࠲࡯╬ߩደᄖ᭴ㅧ‛ߦ߅޿ߡߪ㧘ᾲ⊛⸳⸘߿ⓨ⺞⸳஻ߩㆬቯߦ߅޿ߡⅣႺᾲ⽶⩄ߦࠃߞߡ᭴ㅧ
‛ߦᵹ౉ߔࠆᾲ㊂ࠍ⷗Ⓧ߽ࠆᔅⷐ߇޽ࠆ㧚ᣣ኿╬ߦࠃࠆᵹ౉ᾲ߅ࠃ߮ᒝ೙ኻᵹ╬ߦࠃࠆᵹ಴ᾲߦߟ
޿ߡၮ␆ታ㛎߅ࠃ߮⸘▚ᚻᴺߩ㐿⊒ࠍⴕߞߚ㧚ᧄ
ᚻᴺߦࠃࠅᤤ㑆ߩ╲૕᷷ᐲࡇ࡯ࠢ୯ߦߟ޿ߡᅷᒰ
ߥ੍᷹୯߇ᓧࠄࠇߚ㧚
ᵆᵒᵇࢲỉီễỦỾἻἋቩ‫܇‬ẦỤễỦ‫ޖܭ׍‬ỉஊј༏ˡ‫ྙݰ‬ỉย‫ܭ‬ί᭗ภᔛ༏಺ỉࣱᏡӼɥỆ᧙ẴỦ౨᚛ύᇹᾀ‫إ‬ὸᴾ⍹↰ື⟵㧔ർ㒽㔚ജ㧕㧘⠀౉↰ൎ਽㧔ർ㒽㔚ജ㧕㨇᭎ⷐ㨉 㔚ജ⽶⩄ᐔḰൻࠍ⋡⊛ߦ㜞᷷⫾ᾲᮏࠍ㐿⊒ߒߚ㧚⫾ᾲ᧚ߦ㑐ߒߡߪᓘߩ⇣ߥࠆࡑࠣࡀࠪ
ࠕࠢ࡝ࡦࠞࠍ↪޿ߡలႯ₸ࠍ㜞߼ߡ޿ࠆ߇㧘ၮ␆⎇ⓥߣߒߡࠟ࡜ࠬ☸ሶࠍ↪޿㧞⒳㘃ߩ⇣ߥࠆ☸ሶᓘ߆ࠄߥࠆ࿕ቯጀౝߩવᾲᯏ᭴ࠍ⺞ߴߚ㧚ߘߩ⚿ᨐ㧘ᄢ☸ሶᓘ OO㧘ዊ☸ሶᓘ OO ߩ႐วߦ᦭ല
ᾲવዉ₸߇ᦨ߽ᄢ߈ߊߥࠆߎߣࠍ␜ߒߚ㧚ᣣ ᤨ㧦ᐔᚑ  ᐕ  ᦬  ᣣ ㊄ ޯ ᣣ ࿯ ႐ ᚲ㧦 ᩣ ࠦࡠ࠽ਃ᧦Ꮏ႐㧘ᣂẟ⋵⋵ᄩ࿾ၞ࿾႐↥ᬺᝄ⥝࠮ࡦ࠲࡯
ෳട⠪㧦 ฬ㧔ળຬ  ฬ㧘ቇ↢  ฬ㧕 ᣂẟᄢቇߩ߅਎⹤ߢ⷗ቇળ࡮⑺ቄ࠮ࡒ࠽࡯㧔⻠Ṷળ㧕߇ⴕࠊࠇߚ㧚․೎⻠Ṷߣߒߡࡂࠗࡉ࡝࠶࠼
ࠪࠬ࠹ࡓߩ⎇ⓥ⚫੺߇޽ߞߚ㧚ẔཎКᜒ๫ẕᴾ
ẐЎ૝ᩓเểẲềỉ ᵱᵭᵤᵡᵋᵫᵥᵲ ἡỶἨἼἕἛἉἋἘ
ἲểˡ༏ᄂᆮẑᴾ㋈ᧁஜੑ㇢㧔⦼ᶆᎿᬺᄢቇ㧕㨇᭎ⷐ㨉 㔚ജ૶↪ჇടߦࠃࠆⅣႺ߳ߩᓇ㗀߿ㇺᏒ஗㔚ߥߤߩਇ᷹ߩ੐ᘒߦኻߒߡ㧘ಽᢔ㔚Ḯߩᔅⷐᕈ߇޽ࠆ㧚ࡑࠗࠢࡠࠟࠬ࠲࡯ࡆࡦг ࿕૕㉄ൻ‛ဳΆᢱ㔚ᳰࡂࠗࡉ࡝࠶࠼ࠪࠬ࠹ࡓߪ㧘Άᢱ㔚ᳰ߆ࠄߩឃᾲߦᱷሽߒߡ޿ࠆ⚂ ߩࠛࡀ࡞ࠡ࡯ࠍ
ࡑࠗࠢࡠࠟࠬ࠲࡯ࡆࡦߢ㔚ജߦᄌ឵ߔࠆ߽ߩߢ޽
ࠆ㧚․ᓽߣߒߡ㧘㉄⚛ࠗࠝࡦવዉᕈ㧘Άᢱߪ᳓⚛
ߦ㒢ࠄߥ޿㧘ឃᾲࠛࡀ࡞ࠡ࡯߇㜞⾰㧘⸅ᇦ߇ਇⷐ
ߢ޽ࠆߥߤߩ೑ὐ߇޽ࠅ㧘⊒㔚ല₸߇ ࠍ⿧ߔ
㜞ല₸߇ᦼᓙߢ߈ࠆ㧚Ẕɟᑍᜒ๫ẕᴾᵆᵏᵇʏ්ʖฆӳ༓໲ỉἴἙἼὅἂᴾ
㍪ᘕਯഥ㧔㐳ጟᛛᄢ㧕㧘㐷⣁ ᢅ㧔㐳ጟᛛᄢ㧕㧘㐳⼱Ꮉ㆐਽㧔ฬᄢ㧕㧘ࡠ࡜ࡦࡏ࡞ࠡ㧔./#%045㧕㧘ᆢ㊁㦖ᄥ㇢㧔ℂ⎇㧕㨇᭎ⷐ㨉 ᵹ౉ߔࠆ৻᭽╬ᣇᕈੂᵹਛࠍવ᠞ߔࠆ
චಽߦ⊒㆐ߒߚੂᵹ੍ᷙวΆ὾ߩ⸘▚ࠍ &05 ߦࠃߞߡⴕ޿㧘 ⒳㘃ߩἫἻ೨ᓟߩኒᐲᲧ㧔Ά὾ߦࠃࠆᾲ⤘ᒛ㧕ߦߟ޿ߡ࠺࡯࠲ࡌ࡯ࠬࠍ᭴▽ߒߚ㧚ߘߒߡ᭴▽ߒߚ࠺࡯࠲ࡌ࡯ࠬߦၮߠ޿ߡ㧘ੂᵹ੍ᷙวἫἻ߇ੂᵹࠛࡀ࡞ࠡ࡯߿ੂᵹࠬࠞ࡜࡯ᵹ᧤ߦኻ

-55-



Jour. HTSJ, Vol. 43, No. 178

ᡰㇱᵴേႎ๔

᧲ᶏᡰㇱᵴേႎ๔
Report of Tokai Branchർ᧛ ஜਃ㧔⼾ᯅᛛⴚ⑼ቇᄢቇ㧕
Kenzo KITAMURA (Toyohashi Univ. of Tech.) ╙  ࿁‫᧲ޟ‬ᶏવᾲࠦࡠࠠ࠙ࡓ‫ޠ‬ᣣᤨ㧦2003 ᐕ 9 ᦬ 19 ᣣ(㊄)ඦᓟ 1 ᤨ 30 ಽ㨪ඦᓟ 5 ᤨ႐ᚲ㧦㧔ᩣ㧕࠺ࡦ࠰࡯ᧄ␠ౝ࠰ࡈ࠻࠙ࠛࠕ࠮ࡦ࠲
ಿ⼱Ꮢᤘ๺↸ 1-1
਎⹤ੱ㧦 ૒⮮⧷᣿㧔࠺ࡦ࠰࡯ၮ␆⎇ⓥᚲ㧕ෳട⠪㧦75 ฬ ‫ޟ‬ᣂߒ޿⥄േゞ࡮᳃↢↪ߩࠛࠕࠦࡦࠪࠬ࠹ࡓ‫ޠ‬ࠍਛᔃߦ㧘એਅߩ㧠ઙߩ⹤㗴ឭଏ߇޽ߞߚ㧚(1)‫ޟ‬ๆ⌕ᑼ಄ಓᯏߩᄙᲑൻߦࠃࠆᕈ⢻ะ਄ᬌ⸛‫ޠ‬੗਄ ື㧔࠺ࡦ࠰࡯ၮ␆⎇ⓥᚲ㧕(2)‫ޟ‬ๆ⌕ᑼ಄ಓᯏߩࠦࡦࡄࠢ࠻ൻߦะߌߚ㜞ᕈ⢻ๆ⌕ࡕࠫࡘ࡯࡞ߩ㐿⊒‫ޠ‬┄↰శብ㧔ฬฎደᄢቇᄢቇ㒮ࠛࡀ࡞ࠡ࡯ℂᎿቇኾ᡹㧕(3)‫ޟ‬Άᢱ㔚ᳰゞ↪ࡈࡠࡦࡈ࡝࡯ࠛࠕࠦࡦ‫ޠ‬ጊਛᐽม㧔࠺ࡦ࠰࡯ ಄ᥦᚱ㐿⊒㧝ㇱ㧕
(4)‫⥄ޟ‬േゞߩ㧸㧯㧭ⅣႺ⽶⩄⸃ᨆ࡮⹏ଔ㧔಄ළࠪࠬ࠹ࡓࠍਛᔃߣߒߡ㧕‫ޠ‬ട⮮ᓕਃ㧔ਃ㊀ᄢቇᎿቇㇱᯏ᪾Ꮏቇ⑼㧕
(1), (2)ߢߪๆ⌕ᑼ಄ಓࠪࠬ࠹ࡓߩ߁ߜਥߣߒߡ
ๆ⌕ེߩᕈ⢻ะ਄㧘ࠦࡦࡄࠢ࠻ൻࠍ⋡ᜰߒߚᛛⴚ
㐿⊒ߩ⃻⁁߇⚫੺ߐࠇߚ㧚߹ߚ㧘(3)ߢߪ㔚᳇⥄േゞ߿Άᢱ㔚ᳰゞะߌߦ㐿⊒ߐࠇߚ CO2 ࠍ಄ᇦߣߔ
ࠆࡅ࡯࠻ࡐࡦࡊࠪࠬ࠹ࡓߩ᭎ⷐߦߟ޿ߡ⚫੺߇޽ߞߚ㧚ߐࠄߦ(4)ߢߪฦ⒳⥄േゞߩ LCA ⸃ᨆߩ⚿ᨐ߇⚫੺ߐࠇߚ㧚ߣߊߦࡂࠗࡉ࡝࠶࠼ゞ߇ᔅߕߒ
߽ⅣႺߦఝߒߊߥ޿ߣߩ⚿ᨐߪ⡬⻠⠪ߩᒝ޿㑐ᔃࠍ๭ࠎߛ㧚ߥ߅㧘ࠦࡠࠠ࠙ࡓ⚳ੌᓟ㧘࠺ࡦ࠰࡯ᧄ
␠ౝߦ޽ࠆ࠺ࡦ࠰࡯ࠡࡖ࡜࡝࡯ࠍ⷗ቇߒ㧘ળ႐ㄭㄝߦߡᙣⷫળࠍ㐿௅ߒߚ㧚╙  ࿁‫᧲ޟ‬ᶏવᾲ࠮ࡒ࠽࡯‫ޠ‬ᣣᤨ㧦2003 ᐕ 10 ᦬ 31 ᣣ㧔㊄㧕ඦᓟ 2 ᤨ㨪
11 ᦬ 1 ᣣ㧔࿯㧕ඦ೨ 12 ᤨ㧔㧝ᴱ㧞ᣣ㧕႐ᚲ㧦㇌๺࠮ࡒ࠽࡯ࡊ࡜ࠩ⎇ୃቶ㧘ฬฎደᏒ᷼඙
਎⹤ੱ㧦᧼⼱⟵♿㧔ฬฎደᄢቇᄢቇ㒮㧘ಽሶൻቇᎿቇኾ᡹㧕
ෳട⠪㧦55 ฬᡰㇱᕡ଀ߩવᾲ࠮ࡒ࠽࡯߽ᧄᐕߢ 14 ࿁⋡ࠍᢙ߃ࠆ㧚Ფ࿁ෳട⠪ߩᄙߊߪᄢቇ㒮↢ߢ޽ࠆߎߣ߆
ࠄ㧘⻠Ṷ⠪ߩᣇ‫ߪߦޘ‬㒮↢ߦ߽ಽ߆ࠆᐔᤃߥౝኈ
ߩ⻠Ṷࠍ߅㗿޿ߒߡ㗂޿ߚ㧚એਅߦ⻠Ṷ㗴⋡߅ࠃ߮⻠Ṷ⠪ࠍ⸥ߔ㧚(1)‫ࡠࠢࠗࡑޟ‬Ά὾ᛛⴚߩዷᦸíἫἻߪߤߎ߹ߢዊ
ߐߊߢ߈ࠆߩ߆㧫‫ޠ‬ਛ᧛␭ੑ㧔ฬฎደᄢቇℂᎿ⑼ቇ✚⎇࠮ࡦ࠲࡯㧕 (2)‫࠽࡯ࡃࡉࠖ࠹ࠗ࡟ࡀࠚࠫ࡝ޟ‬Ἱߩᕈ⢻⹏ଔᚻᴺ
ߩ㐿⊒ߦߟ޿ߡ‫ޠ‬㕍ᧁ ୃ৻㧔᧲㇌ࠟࠬ㧘ၮ⋚ᛛⴚ⎇ⓥㇱ㧕
 (3)‫ޟ‬᳓↥ടᎿᑄ᫈‛Ά὾ㆊ⒟ߦ߅ߌࠆ㊀㊄ዻ᡼಴⹏ଔߣ᷷ᐲଐሽᕈ‫ޠ‬⟵ኅ ੫㧔ጘ㒂ᄢቇੱ㑆ᖱႎࠪࠬ࠹ࡓᎿቇ⑼㧕
(4)‫ࡦࡆ࡯࠲ࠬࠟޟ‬ๆ᳇᷷ᐲ೙ᓮߦ㑐ߔࠆ⎇ⓥ⚫
੺‫ޠ‬ᄢጤ ᓼ㓶㧔ਛㇱ㔚ജ㧘㔚ജᛛⴚ⎇ⓥᚲ㧕(5)‫ޟ‬ๆ⌕ᑼ಄ಓᯏߩๆ⌕ེዊဳൻߦะߌߚᾲ‛⾰⒖േ⃻⽎ߩᬌ⸛‫ޠ‬੗਄⺈ม㧔࠺ࡦ࠰࡯ ၮ␆⎇ⓥᚲ㧕(6)‫ޟ‬ๆ⌕⃻⽎ࠍ೑↪ߒߚ㒰Ḩ࡮಄ᚱᛛⴚߦ߅ߌࠆ
વᾲ․ᕈ‫ޠ‬ዊᨋẢ㧔ฬฎደᄢቇవ┵ᛛⴚ౒⎇࠮ࡦ࠲࡯㧕(7) ․೎⻠Ṷ‫ޟ‬ฎߊߡᣂߒ޿ᄙሹ⾰૕ㄭૃߩ⠨߃ᣇ‫ޠ‬ਛጊ 㗼㧔㕒ጟᄢቇᎿቇㇱᯏ᪾Ꮏቇ⑼㧕
ߥ߅㧘╙㧝ᣣ⋡ߩ⻠Ṷ⚳ੌᓟ㧘ળ႐ౝ㘩ၴߢෳട⠪ోຬߦࠃࠆᙣⷫળࠍⴕߞߚ㧚࠮ࡒ࠽࡯ߢߪડ
ᬺ⃻႐ߢߩᛛⴚ㐿⊒ߩ⧰ഭ⹤߿㧘ᦨవ┵ߩ⎇ⓥ⺖
㗴ߦߟ޿ߡ⹤㗴ឭଏ߇޽ࠅ㧘߹ߚ㧘ቇ↢⻉ำߦߣߞߡߪᣣ㗃߶ߣࠎߤ੤ᵹߩߥ޿ઁᄢቇߩቇ↢ߣ߭ߑࠍ੤߃ߡ⹤ߒว߁ߎߣ߇ߢ߈㧘᦭ᗧ⟵ߥ߭ߣᤨࠍㆊߒߚࠃ߁ߢ޽ࠆ㧚વᾲ 2004 ᐕ 1 ᦬               - 56-

ⴕ੐ࠞ࡟ࡦ࠳࡯

ⴕ੐ࠞ࡟ࡦ࠳࡯
ᧄળਥ௅ⴕ੐
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ේⓂ✦ಾ

໧วవ

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ንጊᄢቇᎿቇㇱ ᯏ᪾⍮⢻ࠪࠬ࠹ࡓᎿቇ⑼
╙ ࿁ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓታⴕᆔຬળ
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ᄢቇᵹ૕⑼ቇ⎇ⓥᚲ ౞ጊ㊀⋥
Tel & Fax: 022-217-5243
E-mail: maruyama@ifs.tohoku.ac.jp‫ ޥ‬႓Ꮢቇ࿦↸㧝⇟㧝ภ ᄢ㒋ᐭ┙ᄢቇᄢቇ㒮Ꮏቇ⎇ⓥ⑼ ᯏ᪾♽ኾ᡹ࠛࡀ࡞ࠡ
࡯ᯏ᪾Ꮏቇಽ㊁ ਛㇱਥᢘ
Tel: 072-254-9224 Fax: 072-254-9904
E-mail: nakabe@energy.osakafu-u.ac.jp
http://www.ifht2004.energy.osakafu-u.ac.jp/ឝタภ
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ᧄળ౒௅㧘ද⾥㧘ᓟេⴕ੐
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http://www.ismnt.com
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15th International Symposium on Transport Phenomena+562 㧔ࡃࡦࠦࠢ‫ࠗ࠲ޔ‬㧕╙ ࿁นⷞൻᖱႎࠪࡦࡐࠫ࠙ࡓ
㧔Ꮏቇ㒮ᄢቇᣂኋᩞ⥢‫᧲ޔ‬੩㧕 ᣣ㧔ᧁ㧕㨪 ᣣᧄᷙ⋧ᵹቇળᐕળ⻠Ṷળ  ෸߮╙  ࿁ᷙ⋧ᵹࠪࡦࡐࠫ࠙ࡓ ᣣ㧔࿯㧕㧔ጟጊᄢቇᵤፉࠠࡖࡦࡄࠬ‫ޔ‬ጟጊᏒ㧕 ᣣ㧔ᣣ㧕㨪 ╙ 24 ࿁࿖㓙⥶ⓨ⑼ቇળ⼏ᮮᵿᄢળ(24th Congress of the ᦬ ᣣ㧔㊄㧕
 International Council of the Aeronautical Sciences, 2004, Yokohama) 㧔ࡄࠪࡈࠖࠦᮮᵿ࿖㓙ળ⼏႐‫ޔ‬ᮮᵿᏒ㧕᦬  ᣣ㧔᦬㧕㨪 ╙㧢࿁ේሶἹᾲᵹേߣㆇォ෸߮቟ోᕈߦ㑐ߔࠆ࿖㓙ળ⼏ ᣣ㧔㊄㧕
㧔076*15㧕㧔ᄹ⦟⋵ᣂ౏ળၴ‫ޔ‬ᄹ⦟Ꮢ㧕

-57-



ឝタภ



















Jour. HTSJ, Vol. 43, No. 178

߅⍮ࠄߖ

╙  ࿁ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓෳട↳ㄟᣇᴺ࡮㐿 ௅ ᣣ  ᐔᚑ  ᐕ  ᦬  ᣣ㧔᳓㧕㨪 ᣣ㧔㊄㧕࡮ળ  ႐  ንጊ࿖㓙ળ⼏႐㧔‫ ́ޥ‬ንጊᏒᄢᚻ↸  ⇟  ภ  6'.㧦  ́㧕ንጊ⋵᳃ળ㙚 㧔‫ ́ޥ‬ንጊᏒᣂ✚ᦛベ  ⇟  ภ 6'.㧦  ́㧕࡮ࠪࡦࡐࠫ࠙ࡓ ৻⥸㧔੐೨↳ㄟ㧦6,000 ౞㧘ળ႐↳ㄟ㧦8,000 ౞㧕ෳ ട ⾌  ቇ↢㧔੐೨↳ㄟ㧦3,000 ౞㧘ળ႐↳ㄟ㧦4,000 ౞㧕࡮⻠Ṷ⺰ᢥ㓸   વᾲቇળળຬ㧦ήᢱ㧔CD-ROM ߪ੐೨ㅍઃ㧘ශ೚ ߪࠪࡦࡐࠫ࠙ࡓෳട⠪ߦᒰᣣᚻᷰߒ㧕㕖ળຬ㧦8,000 ౞㧔ળ႐ฃઃߢળຬ⊓㍳ߒߚ႐วߪήᢱߢߔ㧕                 㧔⸤ㅍࠍᏗᦸߐࠇࠆ႐วߪ㧘೎ㅜㅍᢱ 1,000 ౞ࠍ㗂߈߹ߔ㧕࡮ᙣ ⷫ ળ  ᣣ ᤨ㧦ᐔᚑ 16 ᐕ 5 ᦬ 27 ᣣ㧔ᧁ㧕ળ ႐㧦ฬ㋕࠻ࡗࡑࡎ࠹࡞㧔‫ ́ޥ‬ንጊᏒ᪉ᯅㅢࠅ́㧘6'.  ́㧕ෳട⾌㧦৻⥸㧔੐೨↳ㄟ㧦8,000 ౞㧘ળ႐↳ㄟ㧦10,000 ౞㧘ᄦᇚห઻⠪ 1 ฬήᢱ㧕             ቇ↢㧔੐೨↳ㄟ㧦4,000 ౞㧘ળ႐↳ㄟ㧦5,000 ౞㧕࡮ෳട↳ㄟᣇᴺ  ᧄภߦ᜽ㄟߺߩㇷଢᝄᦧᛄㄟขᛒ␿ࠍߏ೑↪ߊߛߐ޿㧚ㅢାᰣߦߪ㧘‫ޟ‬᳁ฬ㧔߰ࠅ߇ߥ㧕㧘ળຬ࡮㕖ળຬߩ೎㧘ൕോవ෶ߪቇᩞฬ㧘ෳട⾌㧘ᙣⷫળ⾌㧔ห઻⠪ߩ᦭ή㧕㧘⺰ᢥ㓸⾌㧘หㅍᢱ㧘ᛄㄟว⸘㗵‫ߩ౉⸥ߏࠍޠ‬਄㧘ߘߩว⸘㊄㗵ࠍߏㅍ㊄ਅߐ޿㧚ෳട⸽╬ߪળ႐ฃઃߦߡ߅ᷰߒ⥌ߒ߹ߔ㧚ߥ߅㧘㗔෼ᦠߪㇷଢᝄᦧᛄㄟ㊄ฃ㗔⸽ߢ߽ߞߡ߆߃ߐߖߡ㗂߈߹ߔ߇㧘ᔅⷐߥᣇߪ߅↳ߒ಴ਅߐ޿㧚࡮↳ㄟ⾌ᛄㄟవ ญᐳ⇟ภ㧦́́㧘ญᐳฬ㧦╙  ࿁ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓታⴕᆔຬળ
࡮੐೨↳ㄟ✦ಾ ᐔᚑ  ᐕ  ᦬  ᣣ㧔㊄㧕࡮ኋᴱ࡮⥶ⓨ೛  ኋᴱ࡮⥶ⓨ೛ߩߏ᩺ౝߩࡍ࡯ࠫࠍߏෳᾖߊߛߐ޿㧚࡮߅໧޿วߖవ

‫ ޥ‬ንጊᏒ੖⑔㧟㧝㧥㧜ንጊᄢቇᎿቇㇱ ᯏ᪾⍮⢻ࠪࠬ࠹ࡓᎿቇ⑼ౝ
╙  ࿁ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓታⴕᆔຬળ੐ോዪ
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E-mail㧦thermo@eng.toyama-u.ac.jp
URL㧦 http:// www3.toyama-u.ac.jp/~thermo/વᾲ 2004 ᐕ 1 ᦬               - 58-߅⍮ࠄߖ╙  ࿁ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓ⺰ᢥේⓂឭ಴ᣇᴺ
‫⻠ޣ‬ṶේⓂ╬ߩឭ಴ᣇᴺ‫ޤ‬ᧄࠪࡦࡐࠫ࠙ࡓߢߪ㧘ᤓᐕߣห᭽ߦ⻠Ṷ⺰ᢥ㓸ࠍหౝኈߩ‫ޟ‬CD-ROM ‫ߣޠ‬㨬ౠሶ (ශ೚‛)㨭ߩ 2 ᭽ᑼߢ⊒ⴕ޿ߚߒ߹ߔ㧚 ⻠Ṷ⺰ᢥ 1 ઙߦߟ߈ਅ⸥ߩ߽ߩࠍឥ߃ߡ㧘ᐔᚑ 16 ᐕ㧟᦬㧤ᣣ(᦬)ᔅ⌕ߦߡߏឭ಴㗿޿߹ߔ㧚ߚߛߒ‫ޔ‬ਅ⸥㧝એᄖߩ㧞㨪㧡ߩឭ಴‛ߪᔅߕㇷㅍ߹ߚߪ⸤ㅍଢߢㅍઃߒߡߊߛߐ޿㧚㧝 ⻠Ṷ⺰ᢥߩ㔚ሶࡈࠔࠗ࡞ේⓂ  ㇱzේೣߣߒߡ PDF ࡈࠔࠗ࡞ߢឭ಴ߒߡߊߛߐ޿.
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123.pdf)zឭ಴ߒߡ޿ߚߛ޿ߚ PDF ࡈࠔࠗ࡞ߦ໧㗴߇޽ߞߚ႐วߪ㧘ౣឭ಴ࠍ߅㗿޿ߔࠆ႐ว߇޽ࠅ߹ߔ
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PDF ࡈࠔࠗ࡞એᄖߢߪ㧘ᣣᧄ⺆ MS-Word97 એ㒠㧘৻ᄥ㇢ 8 એ㒠ߩᢥᦠࡈࠔࠗ࡞㧘2QUVUETKRVࡈࠔࠗ࡞㧘PageMaker ࡈࠔࠗ࡞߆ࠄߩ PDF ࡈࠔࠗ࡞߳ߩᄌ឵㧘߅ࠃ߮ࠞࡔ࡜࡟࠺ࠖේⓂ߆ࠄߩ
ࠬࠠࡖࡦࠍฃߌઃߌ߹ߔ߇㧘ᄌ឵૞ᬺᢱ 3,000 ౞߇ᔅⷐߣߥࠅ߹ߔ㧚(ᄌ឵૞ᬺᢱߪ 3 ᦬ 15 ᣣ߹ߢߦਅ⸥ญᐳ߹ߢㇷଢᝄᦧߢߏㅍ㊄ߊߛߐ޿㧚ߘߩ㓙㧘ౝ⸶ߣߒߡࡈࠔࠗ࡞ᄌ឵ᢱߢ޽ࠆߎ
ߣࠍ᣿⸥ߒߡߊߛߐ޿)zญᐳ⇟ภ㧦00750-9-92676㧘ญᐳฬ㧦╙ 41 ࿁ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓታⴕᆔຬળzࡈࠔࠗ࡞ߪਅ⸥ߩ a)෶ߪ b)ߩ޿ߕࠇ߆ߩᣇᴺߢㅍઃߒߡ޿ߚߛ߈߹ߔ㧚⺰ᢥࠍฃઃᢛℂߔࠆ਄ߢᷙੂߩరߦߥࠅ߹ߔߩߢ㧘㊀ⶄߒߡߩㅍઃ㧘ⶄᢙߩᣇᴺߦࠃࠆㅍઃߪⴕࠊߥ޿ࠃ߁߅㗿޿޿ߚߒ߹ߔ㧚a) 㔚ሶࡔ࡯࡞ߦᷝઃߒߡㅍઃ㧦heat@ice.pu-toyama.ac.jpb) ㇷㅍ߹ߚߪ⸤ㅍ(ࡈࡠ࠶ࡇ࡯࠺ࠖࠬࠢ㧘CD-R ߥߤ)㧦ਅ⸥ㅍઃవ ⻠Ṷ⺰ᢥߩශ೚ߒߚᱜේⓂ  ㇱz⺰ᢥේⓂߪේೣߣߒߡ㄰ළ޿ߚߒ߹ߖࠎ㧚․ߦ㄰ළࠍᏗᦸߔࠆ႐ว㧘ተవࠍ⸥౉ߒߚ㄰ା↪ኽ╴(ಾᚻ⾍ઃ)ࠍหኽ㗿޿߹ߔ㧚 ⻠Ṷ⺰ᢥߩශ೚ߒߚ೽ේⓂ 㧝ㇱ ,+%56 ࠺࡯࠲ࡌ࡯ࠬ↪ᛞ㍳  ㇱ    ࠪࡦࡐࠫ࠙ࡓࡎ࡯ࡓࡍ࡯ࠫ http://www3.toyama-u.ac.jp/~thermo/)ߦ⸥౉↪࠹ࡦࡊ࡟࡯࠻ࠍḰ஻ߒߡ߅ࠅ߹ߔߩߢߏ೑↪ਅߐ޿㧚 ឭ಴‛࠴ࠚ࠶ࠢࠪ࡯࠻ 㧝ㇱࠪࡦࡐࠫ࠙ࡓࡎ࡯ࡓࡍ࡯ࠫ(http://www3.toyama-u.ac.jp/~thermo/)ߦ⸥౉↪࠹ࡦࡊ࡟࡯࠻ࠍḰ஻ߒߡ߅ࠅ߹ߔߩߢߏ೑↪ਅߐ޿㧚‫ᦠޣ‬㘃ㅍઃవ࡮໧วߖవ‫ޤ‬‫ޥ‬939-0398 ንጊ⋵኿᳓㇭ዊ᧖↸㤥ᴡ㧡㧝㧤㧜ንጊ⋵┙ᄢቇᎿቇㇱᯏ᪾ࠪࠬ࠹ࡓᎿቇ⑼  ⊖↢ ⊓ ተ
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E-mail㧦heat@ice.pu-toyama.ac.jp‫⺰ޣ‬ᢥේⓂឭ಴✦ಾ‫ޤ‬ᐔᚑ  ᐕ  ᦬  ᣣ㧔᦬㧕

-59-



Jour. HTSJ, Vol. 43, No. 178

߅⍮ࠄߖ

ឭ಴‛࠴ࠚ࠶ࠢࠪ࡯࠻
ឭ಴‛ࠍߏ⏕⹺ߩ਄㧘࠴ࠚ࠶ࠢⷩߦ࠴ࠚ࠶ࠢߒߡ޿ߚߛ߈㧘ᦠ㘃ߦหኽߒߡߊߛߐ޿㧚

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⴫␜ߐࠇࠆ↹㕙߆ࠄ㧘[࡚ࠫࡉࠝࡊ࡚ࠪࡦ]ࠍ[PrintOptimized]ߦ⸳ቯߒߡߊߛߐ޿㧚⻠Ṷ⇟ภ㧘ࠪࡦࡐࠫ࠙ࡓฬ㧘ࡍ࡯ࠫ⇟ภ╬ߪ㧘ታⴕᆔຬળߦߡᝌ౉ߒ߹ߔ㧚

-61-



Jour. HTSJ, Vol. 43, No. 178

߅⍮ࠄߖ
⻠Ṷ⺰ ᢥේⓂ‫ᦠޓ‬ᑼ ⸳ቯ‫ᧄ⷗ޓ‬ᧄ ᢥ(2)

વᾲࠪࡦࡐࠫ࠙ࡓ⻠Ṷ⺰ᢥߩᦠ߈ᣇ㧔๺ᢥ⴫㗴࡮14 ࡐࠗࡦ࠻㧕㧔๺ᢥ೽㗴࡮12 ࡐࠗࡦ࠻㧘ή޿႐วߪ 1 ⴕ޽ߌࠆ㧕
Instruction for Preparing a Paper 㧔⧷ᢥ⴫㗴࡮12 ࡐࠗࡦ࠻㧕㧔⧷ᢥ೽㗴࡮12 ࡐࠗࡦ࠻㧘ή޿႐วߪߟ߼ࠆ㧕㧔1 ⴕ޽ߌࠆ㧕વᱜ 㧖વᾲ ᄥ㇢㧔ᾲ㊀Ꮏ㧕ᯏᱜ  ᯏ᪾ ᰴ㇢㧔વᎿᄢ㧕વቇ  ᾲജ ⧎ሶ㧔વᎿᄢ㧕
㧔12 ࡐࠗࡦ࠻㧘⊒⴫⠪ߦߪ㧖ࠍઃߌࠆ㧕㧔1 ⴕ޽ߌࠆ㧕
Taro DENNETSU , Jiro KIKAI2, Hanako NETURIKI2㧔10 ࡐࠗࡦ࠻㧕1
Netsu Heavy Industries Ltd., 1-2-3 Sakura, Ohmiya, Saitama 123-4567
2
Dept. of Mech. Eng., Dennetsu Inst. Tech., 4-5 Fuji, Yokohama, Kanagawa 890-1234
㧔1 ⴕ޽ߌࠆ㧕㧔5 ᢥሼ޽ߌࠆ㧕English abstract. 㧔⧷ᢥࠕࡉࠬ࠻࡜ࠢ࠻࡮10 ࡐࠗࡦ࠻㧘100 ⺆⒟ᐲ㧕‫غغغغ‬‫غغغغغغغغغغغغغغغغغغغغغغغغغغغغغغغغغغغغغغغغغ‬‫غغغغغغغغغغغ‬.
㧔1 ⴕ޽ߌࠆ㧕
Key Words : Heat Transfer, Forced Convection...㧔10 ࡐࠗࡦ࠻࡮3㨪5 ୘⒟ᐲ㧕⴫㗴ࡄ࡯࠻ߩ⷗ᧄ
1

વᾲ 2004 ᐕ 1 ᦬               - 62-ฝ ૛⊕㧦15mmᧄ ᢥ(1)

Ბ 㑆㓒㧦10mmᏀ ૛⊕㧦15mm⻠Ṷ⺰ᢥ PDF ࡈࠔࠗ࡞෸߮⻠Ṷ⺰ᢥේⓂߪ㧘એਅ਄ ૛⊕㧦20 mm
ߦ␜ߔⷐ㗄ߦᓥߞߡ૞ᚑߒߡߊߛߐ޿㧚⴫㗴ࡄ࡯࠻⴫㗴㧔๺ᢥ࡮⧷ᢥ㧕⪺⠪ฬ ࡮ ᚲ ዻ 㧔๺ ᢥ ࡮ ⧷ ᢥ 㧕⴫㗴ࡄ࡯࠻ߪ㧘࿑ߩࠃ߁ߦ㧘Ბ⚵ߖߕ᏷ 150mm⧷ᢥࠕࡉࠬ࠻࡜ࠢ࠻
ߦ෼߹ࠆࠃ߁࡟ࠗࠕ࠙࠻ߒߡߊߛߐ޿㧚⧷⺆ࠠ࡯ࡢ࡯࠼
⺰ᢥ࠲ࠗ࠻࡞㧘ળຬ⾗ᩰ࡮⪺⠪ฬ࡮ᚲዻ㧔⇛⸥㧕ߪ㧘↳ㄟᦠߣหߓ߽ߩࠍ㧘ห৻㗅ᐨߢ߅ᦠ߈ਅ
150mm
ߐ޿㧚↳ㄟᦠߣ⇣ߥࠆ႐วߢ߽㧘⋡ᰴ╬ߦߪ෻ᤋߐࠇ߹ߖࠎߩߢ㧘ߏᵈᗧߊߛߐ޿㧚ㅪฬ⠪߇޽ࠆ႐วߦߪ㧘⻠Ṷ⠪ߩ೨ߦ㧖ශࠍߟߌߡਅߐ޿㧚⧷ᢥߩᚲዻᯏ㑐࡮ᚲ࿷࿾ߪ㧘ⶄᢙߩ႐วߦߪ਄ઃ߈ᢙሼߢ඙೎ߒߡਅߐ޿㧚ᧄᢥࡄ࡯࠻
ᧄᢥߪ 1 ࡍ࡯ࠫ⋡ࠍฝ࿑ߩ᭽ߦ 2 Ბ⚵ߺ ஥ 1
ⴕ 26 ᢥሼ⒟ᐲ㧘9 ࡐࠗࡦ࠻ߢ૞ᚑਅߐ޿㧚2 ࡍ࡯ࠫ⋡ߪ㧘వ㗡߆ࠄ 2 Ბ⚵ߺߣߒ㧘 ஥ 60 ⴕ⒟ᐲࠍ⋡቟ߣߒߡ૞ᚑਅߐ޿㧚࿑⴫࿑⴫ਛߩ⸥ภ෸߮ࠠࡖࡊ࡚ࠪࡦߪ⧷⺆ߢ߅ᦠ߈ਅߐ޿㧚ᢥ₂ᢥ₂ࠍᒁ↪ߔࠆ႐วߦߪ㧘ᧄᢥਛߩᒁ↪▎ᚲߩฝ਄ߦዊ᜝ᒐࠍઃߌߚ⇟ภ(1)ߢ⴫ߒ㧘ᧄᢥߩᧃየߦਅ⸥ߩࠃ߁ߦ߹ߣ߼ߡᢥ₂ࠍ೉⸥ߒߡਅߐਅ ૛⊕㧦20 mm
޿㧚
A4 (210mm X 297 mm) ❑ ↪⚕‫ޓ‬ੑᨎએ ౝ(1)વᾲ࡮ઁ 2 ฬ㧘ᯏ⺰(B)㧘12-345(2001), 1234.
 㧔⪺⠪ฬ㧕㧘㧔㔀⹹⇛⒓㧕
㧘㧔Ꮞ㧙ภ㧔⊒ⴕᐕ㧕㧕㧘㧔వ㗡ࡍ࡯ࠫᢙ㧕ߘߩઁ⻠Ṷ⺰ᢥේⓂ㧔ශ೚↪㧕ߪ㧘ฝ਄㓈ߩ૛⊕ㇱಽߦ⻠Ṷ⠪ฬߣࡍ࡯ࠫ㧔વᾲ࡮1㧛2㧕㧘෸߮⎇ⓥ⊒⴫↳ㄟᤨߦ⊒ⴕߒߚฃઃ⇟ภࠍ㧘⭯ߊ㋦╩ߢߏ⸥౉ਅߐ޿㧚߅⍮ࠄߖ

JICST ࠺࡯࠲ࡌ࡯ࠬ↪⻠Ṷ⺰ᢥ㓸ᛞ㍳ឭ಴ߩ߅㗿޿ ᧄࠪࡦࡐࠫ࠙ࡓߢ⊒⴫ߐࠇࠆ⺰ᢥߪㅦ߿߆ߦ߆ߟᐢߊᒁ↪ߐࠇࠆߎߣࠍ⋡⊛ߣߒߡ㧘ߘߩᛞ㍳ࠍᣣᧄ⑼ቇ
ᛛⴚᖱႎ࠮ࡦ࠲࡯㧔JICST㧕ߩ࠺࡯࠲ࡌ࡯ࠬߦ෼㍳ߐࠇ߹ߔ㧚ߟ߈߹ߒߡߪਅᰣߦ⾆⺰ᢥߩ᭎ⷐࠍᔅߕߏ⸥
౉ߩ਄㧘ේⓂߦᷝઃߒߡߏឭ಴㗿޿߹ߔ㧚 ߥ߅㧘ࠪࡦࡐࠫ࠙ࡓࡎ࡯ࡓࡍ࡯ࠫ㧔http://www3.toyama-u.ac.jp/~thermo/㧕ߦ⸥౉↪࠹ࡦࡊ࡟࡯࠻ࠍḰ஻ߒߡ߅ࠅ߹ߔߩߢ㧘ߏ೑↪ਅߐ޿㧚㧔⸥౉਄ߩᵈᗧ㧕㧝㧚⪺⠪ฬ㧦⻠Ṷ⠪ࠍ╩㗡ߦᦠ߈㧘ㅪฬ⠪߽฽߼ోߡ߰ࠅ߇ߥ㧔ࠞ࠲ࠞ࠽㧕ࠍઃߔ㧚        㧞㧚ᛞ㍳ 㧦200㨪250 ሼએౝߢߏ⸥౉ਅߐ޿㧚                                   ታⴕᆔຬળߢ⸥౉

⻠Ṷળฬ⒓╙ 41 ࿁ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓ

⾆⻠Ṷ⇟ภ

⪺ ⠪

  ฬ

ࡈ࡝ ࠟ ࠽ฝᰣߪ JICST ߇⸥౉⻠Ṷ⠪ൕോవ

ࡈ࡝ ࠟ

 ࠽


ਥ
⴫ 㗴
೽

-63-

 Jour. HTSJ, Vol. 43, No. 178

߅⍮ࠄߖ

ኋᴱ࡮⥶ⓨ೛࡮JR ೛ߩߏ᩺ౝ
ߎߩᐲ‫ޔ‬ንጊߦߡ㐿௅ߐࠇ߹ߔ‫╙ޟ‬㧠㧝࿁ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓ‫ߏߩ߳ޠ‬ෳടࠍᔃࠃࠅ᱑ㄫ↳ߒ਄ߍ߹ߔ‫ޕ‬ో࿖ฦ࿾ࠃࠅෳടߐࠇ߹ߔ⊝᭽ߩኋᴱ߿੤ㅢߦߟ޿ߡߏଢቱࠍ߅࿑ࠅߔࠆߚ߼ߦ‫ࡓ࠙ࠫࡐࡦࠪᧄޔ‬㒢ቯߩഀᒁࡄ࠶ࠢߩߏ᩺ౝ
ࠍㄭ⇰ᣣᧄ࠷࡯࡝ࠬ࠻㧔ᩣ㧕ንጊᡰᐫࠃࠅߐߖߡ޿ߚߛߊߎߣߣߥࠅ߹ߒߚ‫ޕ‬ንጊᏒౝߩࡎ࠹࡞ߪ෼ኈᢙ߇ዋߥߊᷙ㔀߇੍ᗐߐࠇ߹ߔ‫߅ޔߚ߹ޕ‬ㇱደᢙߦߪ㒢ࠅ߇ߏߑ޿߹ߔߩߢ߅ᣧ߼ߦ߅↳ߒㄟߺਅߐ޿߹ߔࠃ߁߅㗿޿޿ߚߒ߹ߔ‫             ޕ‬ᢘౕㄭ⇰ᣣᧄ࠷࡯࡝ࠬ࠻㧔ᩣ㧕ንጊᡰᐫ㧝㧚ኋᴱߩߏ᩺ౝ  ↳ㄟߺ✦߼ಾࠅ 㧞㧜㧜㧠ᐕ㧡᦬㧝㧜ᣣ㧔᦬㧕ᔅ⌕㧔㧝㧕ኋᴱ⸳ቯᣣ  㧞㧜㧜㧠ᐕ㧡᦬㧞㧡ᣣ㧔Ἣ㧕㧞㧢ᣣ㧔᳓㧕㧞㧣ᣣ㧔ᧁ㧕㧞㧤ᣣ㧔㊄㧕ߩ㧠ᴱ
㧝ᴱᦺ㘩ઃ࡮ࠨ࡯ࡆࠬᢱ࡮ᶖ⾌⒢ㄟߺߩ߅৻ੱ᭽ߩ㊄㗵ߢߔ‫ޕ‬㧔㧞㧕⸳ቯࡎ࠹࡞  ⴫ਛߩ㊄㗵ߪ㧘㧝
⸥ ภ
㧭㧙㧿
㧭㧙㨀
㧮㧙㧿
㧮㧙㨀

ࡎ ࠹ ࡞ ฬንጊోᣣⓨࡎ࠹࡞ฬ㋕࠻ࡗࡑࡎ࠹࡞

ㇱደ࠲ࠗࡊ
ࠪࡦࠣ࡞
࠷ࠗࡦ
ࠪࡦࠣ࡞
࠷ࠗࡦ

ኋᴱઍ㊄
㧝㧝㧘㧜㧜㧜౞㧝㧜㧘㧜㧜㧜౞㧝㧝㧘㧜㧜㧜౞㧝㧜㧘㧜㧜㧜౞ࡠࠤ࡯࡚ࠪࡦ
㧶㧾ንጊ㚞ࠃࠅᓤᱠ㧝㧞ಽ㧔࿖㓙ળ⼏႐㓞ធ㧕㧶㧾ንጊ㚞ࠃࠅᓤᱠ㧢ಽ㧔ᙣⷫળ႐ࡎ࠹࡞㧕㧯ንጊ╙৻ࡎ࠹࡞

ࠪࡦࠣ࡞㧝㧝㧘㧜㧜㧜౞㧶㧾ንጊ㚞ࠃࠅᓤᱠ㧝㧜ಽ

㧰㧙㧿
㧰㧙㨀

ࠕࡄࡎ࠹࡞ንጊ㚞೨

ࠪࡦࠣ࡞
࠷ࠗࡦ

 㧤㧘㧜㧜㧜౞ 㧤㧘㧜㧜㧜౞㧶㧾ንጊ㚞ࠃࠅᓤᱠ㧢ಽ㧱ንጊ࿾㋕ࡎ࠹࡞

ࠪࡦࠣ࡞㧣㧘㧞㧜㧜౞

㧶㧾ንጊ㚞㓞ធንጊ࿾㋕㚞⋥⚿㧲࡞࡯࠻ࠗࡦንጊ

ࠪࡦࠣ࡞㧢㧘㧤㧜㧜౞

㧶㧾ንጊ㚞ࠃࠅᓤᱠ㧟ಽ㧳ࡄ࡯ࠢࠗࡦንጊ

ࠪࡦࠣ࡞㧡㧘㧡㧜㧜౞

㧶㧾ንጊ㚞ࠃࠅᓤᱠ㧡ಽ㧴ࡎ࠹࡞ࡊ࡜ࠗࡓ

ࠪࡦࠣ࡞㧡㧘㧞㧜㧜౞

㧶㧾ንጊ㚞ࠃࠅᓤᱠ㧡ಽٟ ฃઃߪవ⌕㗅ߣߐߖߡ޿ߚߛ߈߹ߔ‫ߏޕ‬Ꮧᦸ࠲ࠗࡊ߇ᄁࠅಾࠇߩ႐ว‫ߦ࡞࠹ࡎ߿ࡊࠗ࠲ߩઁޔ‬ᄌᦝߐߖߡ޿ߚ
ߛߊ႐ว߇ߏߑ޿߹ߔߩߢ޽ࠄ߆ߓ߼ߏੌᛚߊߛߐ޿‫ޕ‬ٟ 㘩੐᧦ઙߩᄌᦝߦࠃࠆᛄ޿ᚯߒߪⴕ޿߹ߖࠎ‫ޕ‬㧞㧚⥶ⓨ೛࡮ኋᴱࡄ࠶ࠢߩߏ᩺ౝ

↳ㄟߺ✦߼ಾࠅ 㧞㧜㧜㧠ᐕ㧡᦬㧝㧜ᣣ㧔᦬㧕ᔅ⌕ਅ⸥ߩ․೎ഀᒁ⥶ⓨㆇ⾓ߪߏߏኋᴱࠍ߅↳ߒㄟߺߩᣇߩߺ᦭ലߣߥࠅ߹ߔ‫⥶ޕ‬ⓨ೛ߩߺߩ߅↳ߒㄟߺߪฃߌ߆ߨ߹ߔߩߢ
ߏੌᛚਅߐ޿‫ޕ‬㧔a㧕ᓔ〝⸳ቯଢ
⸥ภ

៞ਸ਼ᣣ

඙ 㑆

ଢ ฬ

⊒⌕ᤨ㑆ߩ⋡቟᥉ㅢㆇ⾓ᄢળഀᒁㆇ⾓#㧡㧛㧞㧡㧔Ἣ㧕⠀↰ψንጊోᣣⓨ㧤㧤㧥

ψ

㧝㧤㧘㧤㧜㧜౞ 㧝㧟㧘㧜㧜㧜౞$㧡㧛㧞㧢㧔᳓㧕⠀↰ψንጊోᣣⓨ㧤㧤㧟

ψ

㧝㧤㧘㧤㧜㧜౞ 㧝㧡㧘㧜㧜㧜౞%㧡㧛㧞㧢㧔᳓㧕⠀↰ψንጊోᣣⓨ㧤㧤㧡

ψ

㧝㧤㧘㧤㧜㧜౞ 㧝㧡㧘㧜㧜㧜౞㧔b㧕ᓳ〝⸳ቯଢ
⸥ภ

៞ਸ਼ᣣ

඙ 㑆

ଢ ฬ

⊒⌕ᤨ㑆ߩ⋡቟᥉ㅢㆇ⾓ᄢળഀᒁㆇ⾓ࠕ㧡㧛㧞㧤㧔㊄㧕ንጊψ⠀↰ోᣣⓨ㧤㧤㧠

ψ

㧝㧤㧘㧤㧜㧜౞ 㧝㧟㧘㧜㧜㧜౞ࠗ㧡㧛㧞㧤㧔㊄㧕ንጊψ⠀↰ోᣣⓨ㧤㧤㧤

ψ

㧝㧤㧘㧤㧜㧜౞ 㧝㧡㧘㧜㧜㧜౞

ٟઍ㊄ߦߪ⥶ⓨ଻㒾ᢱ‫ޔ‬ᶖ⾌⒢ࠍ฽ߺ߹ߔ‫ޕ‬㧞㧞㧜㧜㧟ᐕ㧝㧞᦬⃻࿷ߩࠬࠤࠫࡘ࡯࡞෸߮ઍ㊄ߦၮߠ޿ߡ߅ࠅ߹ߔߩߢᄌ

વᾲ 2004 ᐕ 1 ᦬               - 64-߅⍮ࠄߖᦝߦߥࠆ႐ว߇ߏߑ޿߹ߔ‫ޕ‬㧔ᦨᣂߩㆇⴕ࠳ࠗࡗࠍߏ⏕⹺ਅߐ޿‫ޕ‬㧕ٟฦଢߣ߽߅
߅↳ߒㄟߺߩੱຬ߇㧡ฬ᭽એ਄ߦḩߚߥ޿႐วߪଢߩߏᄌᦝࠍ߅㗿޿ߔࠆ߆‫ޔ‬ㅢᏱㆇ⾓ߢߩߏ᩺ౝߣߥࠅ߹
ߔߩߢߏੌᛚਅߐ޿‫↪ߏ߼੍ޔߚ߹ޕ‬ᗧߒߚᐳᏨ߇ḩᏨߦߥࠅᰴ╙✦߼ಾࠅߣߐߖߡ޿ߚߛ߈߹ߔ‫ޕ‬㧟㧚㧶㧾೛࡮ኋᴱࡄ࠶ࠢߩߏ᩺ౝ

↳ㄟߺ✦߼ಾࠅ 㧞㧜㧜㧠ᐕ㧡᦬㧝㧜ᣣ㧔᦬㧕ᔅ⌕ਅ⸥ߩ․೎ഀᒁ㧶㧾ᢱ㊄ߪߏ
ߏኋᴱࠍ߅↳ߒㄟߺߩᣇߩߺ᦭ലߣߥࠅ߹ߔ‫ޕ‬㧶㧾೛ߩߺߩ߅↳ߒㄟߺߪฃߌ߆ߨ߹ߔߩߢߏੌᛚ
ਅߐ޿‫ޕ‬
⸳ቯ඙㑆඙  㑆೑↪೉ゞฬ᧲ ੩㨪ን ጊߣ߈㧗ߪߊߚ߆

ฬฎደ㨪ን ጊ

ㅢᏱᢱ㊄㧔

㆏㧕

ᄢળഀᒁᢱ㊄㧔㆏㧕㧝㧝㧘㧢㧜㧜౞㧥㧘㧡㧜㧜౞

ߒࠄߐ߉㧤㧘㧞㧤㧜౞

㧣㧘㧜㧜㧜౞ᄢ 㒋㨪ን ጊࠨࡦ࠳࡯ࡃ࡯࠼

㧤㧘㧠㧥㧜౞

㧣㧘㧞㧡㧜౞੩ ㇺ㨪ን ጊࠨࡦ࠳࡯ࡃ࡯࠼

㧣㧘㧥㧢㧜౞

㧢㧘㧣㧡㧜౞ጟ ጊ㨪ን ጊ߭߆ࠅ㧗ࠨࡦ࠳࡯ࡃ࡯࠼

㧝㧝㧘㧝㧝㧜౞㧝㧜㧘㧞㧡㧜౞ᐢ ፉ㨪ን ጊ߭߆ࠅ㧗ࠨࡦ࠳࡯ࡃ࡯࠼

㧝㧟㧘㧤㧞㧜౞㧝㧝㧘㧣㧡㧜౞ඳ ᄙ㨪ን ጊ߭߆ࠅ㧗ࠨࡦ࠳࡯ࡃ࡯࠼

㧝㧢㧘㧟㧢㧜౞㧝㧟㧘㧞㧡㧜౞ٟߏᏗᦸߩ೉ゞ࡮ਸ਼ゞᣣࠍᜰቯߩ਄‫ޔ‬㧞㧞ฬ᭽એ਄ߢ߅↳ߒㄟߺਅߐ޿‫․ߚ߹ޕ‬೎ഀᒁಾ╓ߩߚ߼‫ߒ↳߅ޔ‬ㄟߺᓟߩ੍⚂ߩᄌᦝߪߢ߈߹ߖࠎ‫ޕ‬㧔੍߼೉ゞߩᤨೞ⴫ࠍ߅⺞ߴਅߐ޿߹ߔࠃ߁߅㗿޿޿ߚߒ߹ߔ‫ޕ‬㧕ٟᐳᏨߪ᥉ㅢᜰቯᏨߣߥࠅ߹ߔ‫ޕ‬ઍ㊄ߦߪ ㆏ߩਸ਼ゞ೛࡮ᜰቯᏨ․ᕆᢱ㊄߇฽߹ࠇ߹ߔ‫ޕ‬ߏਸ਼ゞᣣߩ㧝ࡩ᦬೨ߩ⊒ᄁߣߥࠅ‫ߏޔ‬ᜰቯߩ೉ゞ߇ߏ↪ᗧߢ߈ߥ޿႐ว߽ߏߑ޿߹ߔߩ
ٟ㧶㧾ฦ೉ゞߩᜰቯᏨߪߏ
ߢ੍߼ߏੌᛚߊߛߐ޿‫ޕ‬㧠㧚߅↳ߒㄟߺᣇᴺߦߟ޿ߡ
೎⚕↳ㄟᦠߦᔅⷐ੐㗄ࠍߏ⸥౉ᓟ‫࡝ࡒࠪࠢࠔࡈޔ‬෶ߪㇷㅍߦߡ߅↳ߒㄟߺਅߐ޿‫ޕ‬ਅ⸥ࡎ࡯ࡓࡍ࡯ࠫߢ߽ฃઃࠍ޿ߚߒߡ߅ࠅ߹ߔ‫ޕ‬ http://www.knt.co.jp/ec/2004/htsj41/       ↳ㄟߺ✦߼ಾࠅ 㧞㧜㧜㧠ᐕ㧡᦬㧝㧜ᣣ㧔᦬㧕ᔅ⌕㧡㧚੍⚂࿁╵ᦠ⊒ㅍߦߟ޿ߡ  వ⌕㗅ߦฃߌઃߌ‫ޔ‬‫⚂੍ޟ‬࿁╵ᦠ࡮⺧᳞ᦠ‫↳ࠍޠ‬ㄟߺઍ⴫⠪߳⊒ㅍ޿ߚߒ߹ߔ‫ޕ‬㧢㧚ઍ㊄ߩ߅ᡰᛄ޿      ᜰቯᣣ߹ߢߦ⺧᳞ᦠߦ⸥タߩญᐳ߳߅ᝄࠅㄟߺਅߐ޿‫ޕ‬ߥ߅‫ޔ‬ㅢା੐ോ⾌ߣߒߡ߅৻ੱߦߟ߈㧡㧜㧜౞ࠍ↳ߒฃߌ߹ߔߩߢߏੌᛚਅߐ޿‫ޕ‬㧣㧚ᄌᦝ࡮ขᶖߦߟ޿ߡ    ↳ㄟߺᓟߩᄌ
ᄌᦝ࡮ขᶖߦߟ޿ߡߪᔅߕᦠ㕙ߦߡߏㅪ⛊ਅߐ޿‫ޕ‬ขᶖᣣߦᔕߓߡએਅߩขᶖᢱࠍ↳ߒฃߌ߹ߔ㧔ᒰ␠༡ᬺᣣࠍၮḰߣߒ߹ߔߩߢભᣣߦ޽ߚࠆ႐วߪߘߩ೨ᣣ߆
ࠄขᶖᢱ߇⊒↢޿ߚߒ߹ߔ㧕‫ޕ‬ขᶖᢱߣㅢା੐ോ⾌ࠍᏅߒᒁ޿ߚᱷ㊄ࠍߏ㄰㊄ߐߖߡ޿ߚߛ߈߹ߔ‫ߏޕ‬㄰㊄ߩ♖▚ߪ੐ോᚻ⛯߈਄ᄢળ⚳ੌᓟߦⴕ߁ߎߣ߇޽ࠅ߹ߔߩߢ੍߼ߏੌᛚਅߐ޿‫ޕ‬-65-

 Jour. HTSJ, Vol. 43, No. 178

߅⍮ࠄߖ

ขᶖᢱ㧔㧝㧕ኋᴱ㧛㧝ᴱߦߟ߈ขᶖᣣኋᴱᣣߩ㧞㧜ᣣ೨એ㒠

ኋᴱᣣߩ 10 ᣣ೨એ㒠

ኋᴱᣣߩ೨ᣣ

ኋᴱᒰᣣ෸߮ήㅪ⛊ขᶖᢱኋᴱᢱ㊄ߩ㧞㧜㧑

ኋᴱᢱ㊄ߩ㧟㧜㧑

ኋᴱᢱ㊄ߩ㧡㧜㧑

ኋᴱᢱ㊄ߩ㧝㧜㧜㧑㧔㧞㧕⥶ⓨ೛㧛㆏ߦߟ߈඙  㑆

಴⊒ߩ 13 ᣣ೨㨪10 ᣣ೨಴⊒ߩ 9 ᣣ೨㨪㧝ᣣ೨಴⊒ᒰᣣ෸߮ήㅪ⛊⠀↰⊒⌕ଢ㧞㧘㧠㧞㧜౞

㧠㧘㧠㧞㧜౞

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಴⊒ᤨೞએ㒠෸߮ήㅪ⛊

ขᶖᢱ

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㧶㧾ઍ㊄ߩ㧟㧜㧑

㧶㧾ઍ㊄ߩ㧝㧜㧜㧑߅↳ߒㄟߺ࡮߅໧޿วࠊߖవ

ㄭ⇰ᣣᧄ࠷࡯࡝ࠬ࠻㧔ᩣ㧕ንጊᡰᐫ‫╙ޟ‬㧠㧝࿁ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓ‫ޠ‬ᜂᒰ㧦ਣ↰࡮ဈ੗‫ޥ‬㧥㧟㧜㧙㧜㧜㧜㧟 ንጊᏒ᪉↸㧝㧙㧠㧙㧞㧠㨀㧱㧸㧦㧜㧣㧢㧙㧠㧟㧟㧙㧤㧤㧡㧡 㧲㧭㨄㧦㧜㧣㧢㧙㧠㧟㧟㧙㧤㧢㧜㧥༡ᬺᤨ㑆㧦㧥ᤨ㨪㧝㧤ᤨ ࿯࡮ᣣ࡮␸ᣣભߺ

વᾲ 2004 ᐕ 1 ᦬               - 66-߅⍮ࠄߖ╙㧠㧝࿁ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓ ኋᴱ࡮⥶ⓨ೛࡮㧶㧾೛↳ㄟᦠ㧲㧭㨄ㅍઃవ㧦㧜㧣㧢㧙㧠㧟㧟㧙㧤㧢㧜㧥߅↳ㄟߺᚻ㗅ߦߟ޿ߡ࡮ ᔅⷐ੐㗄ߏ⸥౉ᓟ㧲㧭㨄෶ߪㇷㅍߦߡ߅↳ߒㄟߺਅߐ޿‫ޕ‬㧔✦߼ಾࠅ㧡᦬㧝㧜ᣣᔅ⌕㧕࡮ వ⌕㗅ߦฃߌઃߌᓟߦ‫ޔ‬ઍ⴫⠪ߩᣇ߳‫⚂੍ޟ‬࿁╵ᦠ࡮⺧᳞ᦠ‫ࠍޠ‬ㇷㅍ޿ߚߒ߹ߔ‫ޕ‬࡮ ᜰቯߩญᐳ߳㧔⺧᳞ᦠߦ⸥タ㧕ઍ㊄ో㗵ࠍ߅ᝄࠅㄟߺ߅㗿޿ߒ߹ߔ‫ޕ‬࡮ ㅢା੐ോ⾌ߣߒߡ߅↳ߒㄟߺ㧝ฬ᭽ߦߟ߈㧡㧜㧜౞ട▚ߐߖߡ޿ߚߛ߈߹ߔ‫ޕ‬࡮⥶ⓨ೛෸߮㧶㧾೛ߪᑷ␠ߦኋᴱߩ߅↳ߒㄟߺ߇޽ࠆ႐วߩߺ᦭ലߢߔ‫ޕ‬ᔅߕኋᴱߣ࠮࠶࠻ߢ߅↳ߒㄟߺਅߐ޿‫ޕ‬↳ㄟઍ⴫⠪᳁ฬㅪ⛊వ㨀㧱㧸㧔    㧕     㧙             㧔ౝ✢㧕

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䃂⥶ⓨ೛䊶䌊䌒೛䈱੍⚂䉕䈍↳䈚ㄟ䉂䈱ᣇ㩷 䋨਄⸥䈪ኋᴱ䉕䈍↳䈚ㄟ䉂䈱ᣇ䈮㒢䉍䉁䈜䋩㩷⥶ⓨ೛䈱੍⚂䋨⸳ቯଢ䈱ਛ䈎䉌䈗ㆬᛯਅ䈘䈇䇯䋩㩷䌊䌒೛䋨⸳ቯ඙㑆䈱ਛ䈪䈗Ꮧᦸ䈱೉ゞ䉕ᜰቯ䈚䈩䈒䈣䈘䈇䇯䋩㩷

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⠀↰䌾ንጊ㩷

䌁䌎䌁䋸䋸䋳ଢ㪇㪐㪑㪇㪇 㗃⊒⠀↰䌾ንጊ㩷

䌁䌎䌁䋸䋸䋵ଢ㪈㪈㪑㪇㪇 㗃⊒ንጊ䌾⠀↰㩷

㪘㪥㪘䋸䋸䋴ଢ㪇㪐㪑㪇㪇 㗃⊒

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〝

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㩷
㩷
䋨㩷 㩷 㩷 䋺㩷 㩷 㩷 㪀

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䉝㩷

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ᓳ
〝

䋵䋯䋲䋸㩷
䋨㊄䋩㩷

ንጊ䌾⠀↰㩷

㪘㪥㪘䋸䋸䋸ଢ㪈㪍㪑㪊㪇 㗃⊒

䉟㩷

㩷

ੱᢙ㩷

ᾍ⨲

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⑌ᾍ

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䋨㩷 㩷 㩷 䋺㩷 㩷 㩷 䋩

⌕㩷

㩷

㩷
䋵䋯䋲䋸㩷
䋨㊄䋩㩷

೉ゞฬ㩷

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䋨㩷 㩷 㩷 䋩ንጊ㚞㩷㩷䋨㩷 㩷 㩷 䋺㩷 㩷 㩷 䋩

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-67-

㩷
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䋨㩷 㩷 㩷 䋺㩷 㩷 㩷 䋩⌕㩷 Jour. HTSJ, Vol. 43, No. 178

߅⍮ࠄߖ

ળ႐࡮ࡎ࠹࡞᩺ౝ
⥋࿖㆏㧤ภ✢

ࠕࡄࡎ࠹࡞ንጊ㚞೨㧔ർญ㧕⥋㊄ᴛ㧶㧾ർ㒽ᧄ✢‫ع‬ንጊ㚞‫ ع‬ንጊ࿾㋕ࡎ࠹࡞

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‫ع غ‬
ንጊోᣣⓨࡎ࠹࡞⥋ⓨ᷼࡮ንጊ㧵㧯㧜㧞㧡㧜ንጊⓨ᷼ⴕ߈ㅪ⛊ࡃࠬ஗‫ޓ‬٨Ꮢ㔚ߩࠅ̪߫ንጊ㚞ࠃࠅንጊ࿖㓙ળ⼏႐㧔✚วฃઃ㧕߹ߢᓤᱠ㧝㧞ಽ̪ንጊ㚞ࠃࠅฬ㋕࠻ࡗࡑࡎ࠹࡞㧔ᙣⷫળ႐㧕߹ߢᓤᱠ㧢ಽ̪ንጊⓨ᷼߆ࠄ㧶㧾ንጊ㚞߹ߢ⋥ㅢㅪ⛊ࡃࠬߢ⚂ 30 ಽ㧘࠲ࠢࠪ࡯ߢ⚂ 20 ಽ̪ർ㒽⥄േゞ㆏ንጊࠗࡦ࠲࡯ࠃࠅንጊ㚞߹ߢゞߢ⚂ 20 ಽવᾲ 2004 ᐕ 1 ᦬               - 68-

㧡㧜㧜㨙



߅⍮ࠄߖ

ᣣᧄવᾲቇળડ↹ㇱળਥ௅ߩ䊐䉤䊷䊤䊛[㐿௅⿰ᣦ]

䇸વᾲ䈫䈇䈉ቇ໧䊶ᛛⴚ䈮䈍䈔䉎⋥ㄭ䈱ዷ㐿⺖㗴䈫䈲䋣䇹‫ޟ‬વᾲߣ޿߁⃻⽎ߪ㧘߆ߥࠅᮮᢿ⊛ߥቇ໧ߢ޽ࠆߣ޿߁ߎߣ߆ࠄ৻ߟߩቇળߣߒߡᗧ๧ࠍߥߔ‫߁޿ߣޠ‬䉮䊮䉶䊒䊃ߦၮߠ޿ߡ㧘40 ᐕએ਄೨ߦ⊒⿷ߒߚવᾲ⎇ⓥળߪ 10 ᦭૛ᐕ೨ߦ‫ޡ‬વᾲቇળ‫ߦޢ‬ᄌりߒߚ㧚ቇળߢ޽ࠆߣ޿߁ߎߣߪ㧘߿ߪࠅ‫ޟ‬ቇ໧ߣߒߡߩ⁛⥄ᕈߩ⊒ើߣᛛⴚߣߒߡߩታ䊐䉞䊷䊦䊄ዷ㐿‫ߪޠ‬ゞߩਔベߢߥߌࠇ߫ߥࠄߥ޿㧚৻ᣇ㧘વᾲ⎇ⓥળ⊒⿷ᒰᤨ߆ࠄߩળຬ⋧੕ߩ⌀៼ߥ‫ߩ⺰⸛ޟ‬႐‫ߩޠ‬ឭଏߣ޿ߞߚߎߣߪ㧘ߘߩ
ᣇᴺ⺰ߣߒߡ㊀ⷐߢ޽ࠅ㧘વᾲ䉲䊮䊘䉳䉳䉡䊛ߪᱜߦߘߩࠃ߁ߥ႐ߢ޽ࠆߣ޿ߞߡ߽ㆊ⸒ߢߥ޿㧚ߘߎߢ੹⥸㧘વᾲቇળડ↹ㇱળߣߒߡ㧘વᾲቇળߦ߅ߌࠆ‫ޟ‬䊒䊤䉪䊁䉞䉴㊀ⷞߣᯏേ⊛ߥᄌᦝ‫ࠍޠ‬ታ〣ߔࠆᣂߚߥᄾᯏࠍળຬฦ૏ߦឭଏߢ߈ࠆߎߣࠍᔨߓߡ㧘એਅߩࠃ߁ߥ䊐䉤䊷䊤䊛ࠍડ↹ߐߖߡ㗂޿ߚ㧚ߘߩⓥᭂ⋡ᮡߪ㧘વᾲቇળ 50 ๟ᐕ⋡ߦߪ㧘વᾲߣ޿߁ቇ໧࡮ᛛⴚߦኻߒߡ㧘વᾲቇળߩౝᄖ߆ࠄࠃࠅ㜞޿⹺⍮ࠍᓧࠆߎߣߦ޽ࠆ㧚ળຬฦ૏ߩⓍᭂ⊛ߥߏෳ↹ߦࠃߞߡ㧘㝯ജ⊛ߢ᳗⛯ᕈߩ޽ࠆ⸛⺰ߩ႐߇ౣ↢ߔࠆߎߣࠍಾߦᦼᓙ
ߒߚ޿╙ 42 ᦼ ડ↹ᜂᒰ೽ળ㐳 ዊỈ↱ⴕ㧘ડ↹ㇱળ㐳 㐷಴᡽ೣ
ᣣ ᤨ 㧦ᐔᚑ 16 ᐕ 3 ᦬ 30 ᣣ㧔Ἣ㧕13:30㨪17:00
႐ ᚲ 㧦᧲੩Ꮏᬺᄢቇ ᄢጟጊ䉨䊞䊮䊌䉴 ⍹Ꮉบ 1 ภ㙚 4 㓏 454 ቶ㧔ᯏ᪾ቝቮቇ⑼ળ⼏ቶ㧕     ‫ޥ‬152-8552 ⋡㤥඙ᄢጟጊ 2-12-1 (TEL: 03-5734-3335 ጟፒஜᢎ᝼ቶ㧕     URL: http://www.titech.ac.jp/home-j.html ߦ㨮੤ㅢ᩺ౝߣ䉨䊞䊮䊌䉴䊶䊙䉾䊒߇޽ࠅ߹ߔ㧚⸛⺰⺖㗴㧦  વᾲ⃻⽎ߩ 㪤㫀㪺㫉㫆㩿㪛㫀㫊㪺㫉㪼㫋㪼㪀㹖㪤㪸㪺㫉㫆㩿㪚㫆㫅㫋㫀㫅㫌㫆㫌㫊㪀ߩዷ㐿ߣߪ䋿‫ޟ‬MDߦࠃࠆᾲᵹ૕ᣇ⒟ᑼߩ⺃ዉ‫ߦޠ‬㑐ߔࠆዊ┻రળ㐳ၫ╩ߩTSE⺰ᢥߣ䉮䊜䊮䊃䈭䈬䉕ෳ⠨䈮䈚䈩㧘ߎߩ㔍⸃ߢᧄ⾰⊛ߥ໧㗴ߦὶὐࠍ⛉ߞߡ⸛⺰ࠍⴕ߁㧚ᚒ‫ⷰ߇ޘ‬ኤߔࠆ䊙䉪䊨ߥ⃻⽎ߪ㧘ߤߩࠃ߁ߥ䊚䉪䊨ߥ⃻⽎ߩ㓸วߣߒߡౕ⃻ߒߡ޿ࠆߩ߆?MDߢ⸥ㅀߐࠇߚᣇ⒟ᑼߪ㧘ℂ⺰⊛ߦߪߤߩࠃ߁ߥ᧦ઙߩ߽ߣߢ㧘ߤߩࠃ߁ߥᐔဋൻⷰኤߦࠃߞߡ㧘䊙䉪䊨ߥ⃻⽎ߦ⚿߮ߟߊߩ߆? ߘࠇߥࠄㅒߦ㧘ㅢᏱ૶ࠊࠇࠆ䊙䉪䊨ߥᣇ⒟ᑼߩᱜߒ޿ㆡ↪▸࿐ߣ೙⚂᧦ઙߣߪ㧘ߤߩࠃ߁ߥ߽ߩߥߩ߆?ߐࠄߦ㧘䊚䉪䊨߆ࠄ䊙䉪䊨߳ߩᐔဋൻᠲ૞߿ߘߩߣ߈ߩ೙
⚂᧦ઙߪ㧘ㅪ⛯ߩᑼ࡮ㆇേᣇ⒟ᑼ࡮䉣䊈䊦䉩䊷ᑼߘࠇߙࠇߢߤߩࠃ߁ߦ⇣ߥࠆߩ߆?
ߎߩࠃ߁ߥવᾲ⃻⽎ߩᧄ⾰ࠍᷓߊℂ⸃ߔࠆߚ߼ߩ⥄↱⸛⺰ࠍㅢߒߡ㧘Ẵࠎߛ䉝䉦䊂䊚䉵䊛ࠍવᾲቇળߦ༐⿠ߔࠆᯏળߣߒߚ޿=䉮䊷䊂䉞䊈䊷䉺㧦ጟፒஜ ᧲Ꮏᄢ ?㧚 㪧㪜㪤ᒻ╬ߩΆᢱ㔚ᳰߦ߅ߌࠆ㔚᳇ൻቇ㧙‛⾰㧙ᾲߩㅪᚑ⃻⽎ߩ⸃ᨆߣ㜞ᕈ⢻ൻᛛⴚ߳ߩዷ㐿ߣߪ䋿Άᢱ㔚ᳰߦ߅ߌࠆ෻ᔕᜬ⛯᧦ઙ߅ࠃ߮㜞ല₸⊒㔚․ᕈߩታ⃻ߩਛߢ㧘વᾲ⃻⽎ߩᗧ๧ߣᓎഀ
ߣߪ?޽ࠆ޿ߪΆᢱ㔚ᳰߩ㜞ᕈ⢻ൻߦะߌߚ㔚᳇ൻቇ෻ᔕ࡮‛⾰વ㆐࡮ᾲવ㆐ߣ޿ߞߚਃ⠪ߩㅪᚑ⃻⽎ߦኻߔࠆวℂ⊛ߥ⸃ᨆ㧛⸳⸘ᣇᴺߣߪ?ߐࠄߦߪ㧘Άᢱ㔚ᳰࠍਛᔃߣߒߚ䉣䊈䊦䉩䊷䉲䉴䊁䊛ߩ⵬ེߢ޽ࠆᡷ⾰ེ㧘ᄌᕈེ㧘ടḨེ╬ߩ䉮䊮䊌䉪䊃ൻ㧛⋭䉣䊈䊦䉩䊷ൻߩᚻᲑߣߪ? ߣ޿ߞߚ⺖㗴ࠍ⸛⺰ߒߡߺߚ޿=䉮䊷䊂䉞䊈䊷䉺㧦ᕲ↰๺ᄦ ⼾ᯅᛛ⑼ᄢ ?㧚  䉮䊜䊮䊁䊷䉺䊷䉵㧦ફା৻ᘮ㧔᧲Ꮏᄢ㧕㧘ᐔ੗⑲৻㇢㧔᧲Ꮏᄢ㧕㧘ㄭਭᱞ⟤㧔ർᄢ㧕㧘㜞ᧁ㕏㓶㧔ᱞ⬿Ꮏᄢ㧕㧘᧻ᧄᵏ㇢㧔ᣂẟᎿ⍴ᄢ㧕㧘٤٤٤٤㧔ٌٌ㧕㧘Ṛᧄᱜੱ㧔ን჻✚⎇㧕㧘ዊỈ↱ⴕ㧔㜞⍾ᾲቇ㧕㧘٤٤٤٤㧔ٌٌ㧕㧘

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 Jour. HTSJ, Vol. 43, No. 178

߅⍮ࠄߖ
ෳട⾌ 㧦ήᢱቯ ຬ 㧦⥄↱⸛⺰ߩ⿰ᣦ߆ࠄ㨮ቯຬߪߣߊߦ⸳ߌ߹ߖࠎ㧚㧔ߤߥߚߢ߽ߏ⥄↱ߦෳട޿ߚߛߌ߹ߔ㧚㧕ߚߛߒ㨮ળ႐Ḱ஻ߩㇺว߆ࠄ㨮ᐔᚑ16ᐕ2᦬ᧃᣣ߹ߢߦ㨮น⢻ߢ޽ࠇ߫‫ޔ‬ෳട⠪ߩԘ᳁ฬ㧘ԙᚲዻ㧘Ԛㅪ⛊వ૑ᚲ㧘ԛ㔚⹤⇟ภ㧘ԜE-mail䉝䊄䊧䉴ࠍ㧘ਅ⸥߳E-mail㧘ߪ߇߈㧘߹ߚߪ(#:ߢ߅↳ߒㄟߺᚬߌࠇ߫ᐘ↟ߢߔ㧚  ‫ޥ‬840-8502૒⾐⋵૒⾐Ꮢᧄᐣ↸ ૒⾐ᄢቇℂᎿቇㇱᯏ᪾ࠪࠬ࠹ࡓᎿቇ⑼ 㐷಴᡽ೣ      E-mail: monde@me.saga-u.ac.jpTEL: 0952-28-8608, FAX: 0952-28-8587 ౒      ߥ߅㧘⸛⺰⺖㗴(2)ߦߟ޿ߡߪ㧘ࠦ䊜䊮䊁䊷䉺ෳടࠍ㗂ߌࠆᣇࠍ᳞߼ߡ޿߹ߔ㧚ᒰᣣߦࠦࡔࡦ࠻ࠍᚬ
ߌࠆ⺖㗴࡮ಽ㊁࡮᭎ⷐࠍ㨮એਅߩࠦ࡯࠺ࠖࡀ࡯࠲ߦ߅ነߖ㗿޿߹ߔ㧚‫ޥ‬441-8580⼾ᯅᏒᄤષ↸㔕㓴ࡩਐ1-1⼾ᯅᛛⴚ⑼ቇᄢቇ㔚᳇࡮㔚ሶᎿቇ♽                ᕲ↰๺ᄦ E-mail: onda@eee.tut.ac.jpTEL/FAX: 0532-44-6722

વᾲ 2004 ᐕ 1 ᦬               - 70-߅⍮ࠄߖᣣᧄવᾲቇળ࡮ቇ↢ળᆔຬળߩᵴേߦߟ޿ߡ
ቇ↢࡮⧯ᚻߩવᾲ㑐ㅪ⎇ⓥ⠪ߩᣇ‫ߪߦޘ‬㧘ࡈࠚࠕߥ႐ߢಾ⏢℉⏴ߒᜰዉࠍฃߌࠄࠇࠆ੐㧘⥄ಽߢᧄ‛ࠍ⷗ᭂ߼ࠆ੐߇㊀ⷐߣ⠨߃ࠄࠇࠃ߁൘߼ࠆ੐㧘ᰴ਎ઍߦᔅⷐߥ⎇ⓥߦ಴ળ߃ࠆࠃ߁ߥᯏળࠍ૞ࠆ੐㧘ࠍ㊀ⷐߣ⠨߃ߡ߅ࠅ㧘ᣂߒ޿ᤨઍߦೣߒߡ㧘ᤨઍߦ⋧ᔕߒ޿ᣇᴺ࡮ᚻᲑߢ㧘ታ⃻ߒߚ޿ߣᕁ޿߹ߔ㧚ቇ↢ળຬ࡮⧯ᚻળຬࠍਥߚࠆኻ⽎ߣߔࠆਅ⸥ߩ㧞ⴕ੐ߩ㐿௅ࠍ੍ቯߒߡ߅ࠅ߹ߔ㧚ߗ߭ᓮෳടᚬ߈߹ߔ
ࠃ߁ߦᓮ㗿޿↳ߒ਄ߍ߹ߔ㧚߹ߚ㧘ᓮ๟࿐ߩᣇ‫ߩ߳ޘ‬ᓮ൘⺃ࠍ㧘૗ಽߦ߽㧘ࠃࠈߒߊᓮ㗿޿↳ߒ਄ߍ߹ߔ㧚ቇ↢ળᆔຬળ࡮ᆔຬ㐳 ਃ᧻ 㗅ᴦఝ⑲ࡊ࡟࠯ࡦ࠹࡯࡚ࠪࡦ⾨㧔╙  ࿁ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓ㧦ንጊ㧕ߦߟ޿ߡ
╙ 41 ࿁ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓߦ߅޿ߡ㧘ਅ⸥ߩࠃ߁ߦఝ⑲ࡊ࡟࠯ࡦ࠹࡯࡚ࠪࡦ⾨ࠍታᣉߒ߹ߔ੍ቯߢߔ
ߩߢ㧘ડᬺ࡮ᄢቇ࡮⎇ⓥᯏ㑐╬㧘ᄙᢙߩᓮෳട࡮ᔕ൐↳ㄟࠍ㧘૗ಽߦ߽㧘ࠃࠈߒߊᓮ㗿޿↳ߒ਄ߍ߹ߔ㧚ᣣ  ᤨ㧦 ᐔᚑ 16 ᐕ 5 ᦬ 26 ᣣ㧔᳓㧕 ቇળ╙ 1 ᣣ⋡ ఝ⑲ࡊ࡟࠯ࡦ࠹࡯࡚ࠪࡦ⾨࠮࠶࡚ࠪࡦኻ  ⽎㧦 ડᬺ㧘ᄢቇ㧘⎇ⓥᚲ╬ߩᛛⴚ⠪࡮⎇ⓥ⠪ߢ㧘ᐔᚑ㧝㧢ᐕ㧟᦬㧟㧝ᣣ⃻࿷㧞㧤ᚽએਅߩ⠪㧘߹ߚߪ㧘⊒⴫↳ㄟᒰᣣቇ↢ߩ⠪ 㧔੹࿁ࠃࠅ⊒⴫ኻ⽎⠪ࠍᐢߍ㧘⧯ᚻ⎇ⓥ⠪߽ኻ⽎ߦ⥌ߒ߹ߔ㧚㧕ᔕ൐⾗ᩰ㧦 ⊒⴫ᤨ㧔㧩ክᩏᤨ㧕ߦ㧘ᣣᧄવᾲቇળߩળຬ㧔ᱜຬ㧘ቇ↢ຬ㧕QT ↳ߒㄟߺਛߢ޽ࠆ੐㧚ᔕ൐ߩᢙ㧦 ⎇ⓥࠣ࡞࡯ࡊ㐳߹ߚߪᜰዉᢎቭ╬޽ߚࠅ㧘㧝ฬ㧔㧝ઙ㧕ߩ⊒⴫ᔕ൐ߣߐߖߡ㗂߈߹ߔ㧚
ᔕ൐ᣇᴺ㧦 ╙  ࿁ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓ⎇ⓥ⊒⴫↳ㄟᤨߦ㧘↳ㄟᦠߩ࠮࠶࡚ࠪࡦಽ㘃ߩ̌ఝ
ఝ⑲ࡊ࡟࠯ࡦ
࠹࡯࡚ࠪࡦ⾨࠮࠶࡚ࠪࡦ̍ߦ࠴ࠚ࠶ࠢࠍߒ㧘̌ᜰᜰዉᢎቭ߹ߚߪ⎇ⓥࠣ࡞࡯ࡊ㐳╬᳁ฬ̍ࠍ߅ᦠ
߈ਅߐ޿㧚㧔ߥ߅㧘↳ㄟᓟߩᔕ൐ㅊടᄌᦝߪ㧘ࡊࡠࠣ࡜ࡓ✬ᚑ೨ߢ㧘น⢻ߥ႐วߩߺኻᔕߒ߹ߔ㧚㧕ክᩏᣇᴺ㧦 ฦ⻠Ṷߦኻߒߡ㧘ᢙฬߩቇળᓎຬ㧔ℂ੐㧘⹏⼏ຬ㧘ડ↹ㇱળຬ߅ࠃ߮ቇ↢ળᆔຬ╬㧦⃻࿷࡮ᣥ㧕ߦ㧘ክᩏ࡮⻠⹏ࠍଐ㗬ߒ㧘ክᩏ⚿ᨐࠍ㓸⸘ߒߡㆬ⠨ߒ߹ߔ㧚వߦឭ಴ߩ⺰ᢥේⓂౝኈࠃࠅ㧘ᒰᣣߩࡊ࡟࠯ࡦ࠹࡯࡚ࠪࡦ㧔⻠Ṷ࡮⸛⼏╬㧕ࠍ㊀ⷞߒߡክᩏߒ㧘⛯ߊ੤ᵹળߢ⚿ᨐࠍ߅ᷰߒ߹ߔ㧚ቇ↢࡮⧯ᚻ⎇ⓥ⠪ߩ੤ᵹળ㧔౗㧦ఝ⑲ࡊ࡟࠯ࡦ⾨⚿ᨐ⊒⴫ળ㧕㐿௅ߩߏ᩺ౝ
㧨ᣣᧄવᾲቇળ࡮ቇ↢ળᆔຬળ㧘ડ↹ㇱળ㧦౒หਥ௅㧪
ఝ⑲ࡊ࡟࠯ࡦ⾨࠮࠶࡚ࠪࡦᓟ㧘ቇ↢ળຬ࡮⧯ᚻ⎇ⓥ⠪ߩ੤ᵹࠍ⋡⊛ߣߒߚળࠍ੍ቯߒߡ߅ࠅ߹ߔ㧚ᓮ⥄ಽߢ⧯ᚻ㧔㧩⃻ᓎ㧕ߣ⥄⽶ߐࠇࠆ⎇ⓥ⠪ࠍ฽߼㧘ᄙᢙߩ⊝᭽ߩᓮෳട࡮ᓮᡰេࠍ㧘ᓮ㗿޿↳ߒ਄ߍ߹ߔ㧚ᣣ  ᤨ㧦 ᐔᚑ 16 ᐕ 5 ᦬ 26 ᣣ㧔᳓㧕 ቇળ╙ 1 ᣣ⋡ᄕᣇ ఝ⑲ࡊ࡟࠯ࡦ࠹࡯࡚ࠪࡦ⾨࠮࠶࡚ࠪࡦᓟኻ  ⽎㧦 ࡊ࡟࠯ࡦ⾨ᔕ൐⠪㧘ቇቇ↢ળຬ㧘વ
વᾲቇળߩ⧯ᚻળຬ㧘ቇળᓎຬ㧘ቇ↢ળᆔຬ㧘฽߻㧦ክᩏຬෳട⾌㧦 ήᢱ㧩ࡊ࡟࠯ࡦ⾨ᔕ൐⠪࡮ቇ↢ળຬ㧘 ౞㧗ǩ㧩ߘࠇએᄖ㧔੐೨ߦ⾃޿㧘Ḱ஻࡮⾼౉߳㧕૕  ⵙ㧦 ᳇ᭉߥ◲නࡄ࡯࠹ࠖᒻᑼ㧔㘶ߺ‛࡮㘩ߴ‛ࠍ㘶㘩ߒߥ߇ࠄ㐿௅㧕㧘ෳട⠪࡝ࠬ࠻࡮ฬᧅࠍ૞ᚑౝ  ኈ㧦 ࡮ᰴᰴ਎ઍ⎇ⓥ⠪߳ߩࡔ࠶࠮࡯ࠫ㧔⻠Ṷ㧕㧨વᾲቇળ㧘࿖㓙ൻ㧘ᰴ਎ઍ⎇ⓥ㧘ቇળߢߩ⧯ᐕጀ㧪
࡮㈩Ꮣ %&41/ ᭎ⷐ㧔*2㧘㩉㩖㩎㧕㧘࿖ౝᄖߩ⎇⎇ⓥቶ࡮⎇ⓥ㧳ߩ⚫੺㧔ฦࡉࡠ࠶ࠢᲤ㧘ቇ↢ળᆔຬ㧕      ࡮ఝ⑲ࡊ࡟࠯ࡦ⾨ߩክᩏᣇᴺ࡮ክᩏ⁁ᴫ࡮ో૕ಽᏓ╬ߩ⺑᣿㧔ቇ↢ળᐙ੐㧕㧘ฦ⥄ߩ⚿ᨐ⴫㈩Ꮣ      ࡮ఝ
ఝ⑲ࡊ࡟࠯ࡦ࠹࡯࡚ࠪࡦ⾨ߩ⚿ᨐ⊒⴫࡮୥⵬⠪ౝቯ㧔㧩᳿ቯ㧕࡮⏕⹺㧘߅␸޿㧘᜿ᜦ㧘ㅪ⛊࡮੤੤ᵹળ㧩ᙣⷫળ㧔಴Ꮸ⠪㑆੤ᵹଦㅴ㧘⧯ᚻડᬺ⎇ⓥ⠪ߩ⎇ⓥ࡮ዞ⡯૕㛎⺣ߩ⍴޿⊒⴫㧦ᢙઙ㧕
↳ㄟᣇᴺ㧦 ෳടฃઃ࡮⹦⚦ߩ WEB 㩗㩩㨺㩆㩨࡮E-Mail ࠍ㧘ᓟᣣ㧘ᓮ᩺ౝ↳ߒ਄ߍ߹ߔ㧚વᾲ HP ߦ߽ឝタ੍ቯ㧚

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 Jour. HTSJ, Vol. 43, No. 178

߅⍮ࠄߖ

‫ޟ‬વᾲ‫ޠ‬ળ๔ߩᦠ߈ᣇ

વᾲ 2004 ᐕ 1 ᦬               - 72-

੐ോዪ߆ࠄߩㅪ⛊੐ോዪ߆ࠄߩㅪ⛊㧝㧚ቇળ᩺ౝߣ౉ળᚻ⛯߈ߦߟ޿ߡ
‫ޤ⊛⋡ޣ‬ᧄળߪ㧘વᾲߦ㑐ߔࠆቇℂᛛⴚߩㅴዷߣ⍮⼂ߩ᥉෸㧘ળຬ⋧੕෸߮࿖㓙⊛ߥ੤ᵹࠍ࿑ࠆߎߣࠍ⋡⊛ߣߒߡ޿߹ߔ㧚‫ޣ‬ળ⸘ᐕᐲ‫ޤ‬ળ⸘ᐕᐲߪ㧘Ფᐕ㧠᦬㧝ᣣߦᆎ߹ࠅ⠉ᐕ㧟᦬㧟㧝ᣣ߹ߢߢߔ㧚‫ޣ‬ળຬߩ⒳೎ߣળ⾌‫ޤ‬ળຬ⒳⾗  ᩰળ⾌㧔ᐕ㗵㧕
વᾲߦ㑐ߔࠆቇ⼂⚻㛎ࠍ᦭ᱜળຬ ߔࠆ⠪ߢ㧘ᧄળߩ⋡⊛ߦ⾥ 㧤㧜㧜㧜౞หߒߡ౉ળߒߚ୘ੱ
ᧄળߩ⋡⊛ߦ⾥หߒ㧘ᧄળ㧝ญ⾥ഥ ߩ੐ᬺࠍេഥߔࠆᴺੱ߹ߚ
㧟㧜㧜㧜㧜ળຬ ߪߘߩ੐ᬺᚲ㧘޽ࠆ޿ߪ୘౞ੱ㜞ኾ㧘⍴ᄢ㧘ᄢቇߩቇㇱ߅ቇ↢ ࠃ߮ᄢቇ㒮ߦ࿷ቇਛߩቇ↢㧠㧜㧜㧜౞ળຬ ߢ㧘ᧄળߩ⋡⊛ߦ⾥หߒߡ౉ળߒߚ୘ੱ

2. ‫ޟ‬ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓ⻠Ṷ⺰ᢥ㓸‫ࠍޠ‬ήᢱߢߐߒ޽ߍ߹ߔ㧚  ࡮ᱜ࡮ቇ↢࡮ฬ⹷࡮ផ⮈ߩฦળຬߦ㧝ㇱ㧘⾥ഥળຬߦญᢙಽߩㇱᢙ㧔ૉߒ㧘વᾲࠪࡦࡐࠫ࠙
ࡓ㐿௅ߩ೨ᐕᐲߩ㧟᦬㧞㧡ᣣ߹ߢߦ೨ᐕᐲಽ
߹ߢߩળ⾌ࠍ⚊౉ߒߚળຬߦ㒢ࠆ㧕‫౉ޣ‬ળᚻ⛯߈‫ޤ‬ᱜળຬ߹ߚߪቇ↢ળຬ߳ߩ౉ળߩ㓙ߪ㧘౉ળ↳ㄟ↪
⚕ߦߏ⸥౉ߩ਄㧘੐ോዪተߦࡈࠔ࠶ࠢࠬ߹ߚߪㇷㅍߢㅍࠅ㧘ㇷଢᝄᦧߦߡᒰ⹥ᐕᐲળ⾌ࠍ߅ᡰᛄ޿ਅߐ
޿㧚⾥ഥળຬ߳ߩ౉ળߩ㓙ߪ㧘౉ળ↳ㄟ↪⚕ߦߏ⸥౉ߩ਄㧘੐ോዪተߦࡈࠔ࠶ࠢࠬ߹ߚߪㇷㅍߢ߅ㅍࠅ
ਅߐ޿㧚ᔅⷐ߇޽ࠇ߫ᧄળߩౝኈ㧘ળೣ㧘౉ળᚻ⛯߈╬ߦߟ޿ߡߏ⺑᣿ߒ߹ߔ㧚⾥ഥળຬ߳ߩ↳ㄟߺߪ૗ญߢ߽น⢻ߢߔ㧚㧔ᵈᗧ㧕࡮↳ㄟ↪⚕ߦߪ᳁ฬࠍ᣿⍎ߦ⸥౉ߒ㧘㔍⺒ᢥሼߦ
ߪJIS㩄-㩎㩨ߩߏᜰ␜ࠍ߅㗿޿ߒ߹ߔ㧚࡮ળ⾌⚊౉ᤨߩㇷଢᝄᦧ↪⚕ߦߪ㧘ળຬฬ㧔ᔅⷐߦᔕߓߡࡈ࡝ࠟ࠽ࠍઃߔ㧕ࠍᔅߕ⸥౉ߒߡਅߐ޿㧚ળ␠ฬߩߺ⸥タߩ႐ว㧘౉㊄ߩขᛒ޿߇ߢ߈ߕ㧘ળ⾌ᧂ⚊ߩ߹߹ߣߥࠅ߹ߔ㧚࡮ቇ↢ળຬ߳ߩ౉ળ↳ㄟߦ߅޿ߡߪ㧘ᜰዉᢎቭߦࠃ
ࠆ࿷ቇ⸽᣿㧔⟑ฬ࡮ᝲශ㧕߇ᔅⷐߢߔ㧚㧞㧚ળຬߩᣇ‫߳ޘ‬

ᧄળߦ․ߦഞഭߩ޽ߞߚ⠪ 㧤㧜㧜㧜౞ฬ⹷ߢ㧘✚ળߦ߅޿ߡផ⮈ߐࠇ ૉߒ㧘ᚽ
ળຬ
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ᧄળߩ⊒ዷߦነਈߔࠆߎߣ
ផ⮈ ߇ᦼᓙߢ߈ࠆ⠪ߢ㧘ᒰ⹥ᐕળຬ ᐲߩ✚ળߦ߅޿ߡផ⮈ߐࠇ
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‫ޣ‬ળຬߩ․ౖ‫ޤ‬ળຬߪᧄળߩᵴേߦෳടߢ߈㧘ᰴߩ․ౖ߇޽ࠅ߹ߔ㧚
1. ‫ޟ‬વᾲ‫ޠ‬,‫ޟ‬THERMAL SCIENCE AND
ENGINEERING‫ࠍޠ‬ㇷㅍߒ߹ߔ㧚 㧔ᧄᐕᐲ⊒ⴕ੍ቯ㧦5㧘7㧘9㧘11㧘1㧘3᦬ภ㧕  ࡮ᱜળຬ㧘ቇ↢ળຬ㧘ฬ⹷ળຬ㧘ផ⮈ળຬߦ㧝ౠㅍઃ  ࡮⾥ഥળຬߦญᢙಽߩౠᢙㅍઃ

‫ޣ‬ળຬჇടߣ⾥ഥળຬญᢙჇടߩ߅㗿޿‫ޤ‬୘ੱળຬߣ⾥ഥળຬߩჇട߇ᬌ⸛ߐࠇߡ޿߹ߔ㧚ળຬߩ⊝᭽ߦ߅߆ࠇ߹ߒߡ߽㧘ߢ߈ࠆ㒢ࠅ๟࿐ߩ㑐ㅪߩᣇ‫߿ޘ‬࿅૕ߦ౉ળࠍ߅⺃޿ਅߐࠆࠃ߁߅
㗿޿ߒ߹ߔ㧚߹ߚ㧘⾥ഥળຬ߳ߩ౉ળ↳ㄟߺฃઃߦ߅߈߹ߒߡ㧘㧭㧔㧟ญ㧕㧘㧮㧔㧞ญ㧕㧘㧯㧔㧝ญ㧕ߣಽߌߡ߅ࠅ߹ߔ㧚⃻⾥ഥળຬߦ߅߆ࠇ߹ߒߡ߽㧘ߢ߈ࠆ㒢ࠅญᢙߩჇടࠍ߅㗿޿ߒ߹ߔ㧚‫ޣ‬ળ⾌⚊౉ߦߟ޿ߡ‫ޤ‬ળ⾌ߪᒰ⹥ᐕᐲౝߦ⚊౉ߒߡߊߛߐ޿㧚⺧᳞ᦠߪ߅↳ߒ಴ߩߥ޿㒢ࠅ․ߦ⊒ⴕߒ߹ߖࠎ㧚ળ⾌⚊౉⁁ᴫߪ੐ോዪߦ߅໧޿วߖਅߐ޿㧚ળ⾌⚊౉ߦߪ᛬ㄟߺߩㇷଢᝄᦧ↪⚕ࠍߏ೑↪ਅߐ޿㧚ߘߩઁߩ
ㅍ㊄ᣇᴺߢᚻᢙᢱ߇ᔅⷐߥ႐วߦߪ㧘ㅍ㊄⠪஥ߩ
⽶ᜂߦߡ߅㗿޿⥌ߒ߹ߔ㧚ࡈ࡝ࠟ࠽ฬߩᬌ⚝ߦࠃ
ߞߡ౉㊄ߩ੐ോಣℂࠍⴕߞߡ߅ࠅ߹ߔߩߢળ␠
ฬߩߺߢળຬฬߩ⸥タ߇ߥ޿႐วߦߪᧂ⚊ᛒ޿ߦߥࠅ߹ߔ㧚

-73-

 Jour. HTSJ, Vol. 43, No. 178

੐ോዪ߆ࠄߩㅪ⛊‫ޣ‬ᄌᦝዯߦߟ޿ߡ‫ޤ‬㧔ൕോవ㧘૑ᚲ㧘ㅢାవ╬ߩᄌᦝ㧕ൕോవ㧘૑ᚲ㧘ㅢାవ╬ߦᄌᦝ߇↢ߓߚ႐วߦߪ㧘Ꮞᧃߩ‫ޟ‬ᄌᦝዯ↪⚕‫ߡߦޠ‬ㅦ߿߆ߦ੐ോዪ߳߅⍮ࠄߖਅߐ޿㧚ㅢାవߩᄌᦝዯ߇ߥ޿႐วߦߪ㧘ㇷㅍ‛߇ળຬߦ⏕ታߦዯ߆ߕ㧘޽ࠆ޿ߪተฬਇ᣿ߦ
ࠃࠅએ㒠ߩㇷㅍ߇⛮⛯ߢ߈ߥߊߥࠅ߹ߔ㧚߹ߚ㧘ౣ⊒ㅍ߇น⢻ߥ႐วߦ߽ߘߩ⾌↪ࠍߏ⽶ᜂ㗂ߊߎߣߦߥࠅ߹ߔ㧚㧔⾥ഥળຬߩઍ⴫⠪ᄌᦝ㧕
⾥ഥળຬߩ႐วߦߪ㧘ᔅⷐߦᔕߓߡઍ⴫⠪ࠍᄌᦝߢ߈߹ߔ㧚㧔ቇ↢ળຬ߆ࠄᱜળຬ߳ߩᄌᦝ㧕ቇ↢ળຬ߇␠ળੱߦߥࠄࠇߚ႐วߦߪ㧘ળ⾌߇ᄌࠊࠅ߹ߔߩߢᱜળຬ߳ߩᄌᦝዯࠍㅦ߿߆ߦߏឭ
಴ਅߐ޿㧚ߎߩߎߣߦߟ߈߹ߒߡߪ㧘ᜰዉᢎቭߩ
ᣇ‫ߏ߽ࠄ߆ޘ‬ᜰዉࠍ߅㗿޿ߒ߹ߔ㧚㧔ᄌᦝዯឭ಴਄ߩᵈᗧ㧕ળຬ࠺࡯࠲ࠍᄌᦝߔࠆ㓙ߩ⺋ࠅࠍ㒐ߋߚ߼㧘ᄌᦝዯߪᔅߕᦠ㕙ߦߡળຬ⥄り߽ߒߊߪઍℂߣ⹺߼ࠄࠇࠆᣇ߇ߏឭ಴ਅߐࠆࠃ߁߅㗿޿ߒ߹ߔ㧚‫ޣ‬ㅌળዯߦߟ޿ߡ‫ޤ‬ㅌળࠍᏗᦸߐࠇࠆᣇߪ㧘ㅌળᣣઃߌࠍ⸥ߒߚᦠ㕙ߦߡㅌળዯ㧔ㇷଢᝄᦧ↪⚕ߦ⸥タน㧕ࠍឭ಴ߒ㧘ᧂ⚊ળ⾌ࠍ⚊౉ߒߡਅߐ޿㧚ળຬ⊓㍳ࠍ᛹ᶖߒ߹ߔ㧚‫ޣ‬ળ⾌ࠍ㐳ᦼṛ⚊ߐࠇߡ޿ࠆᣇ߳‫ޤ‬㐳ᦼ㑆㧘ળ⾌ࠍṛ⚊ߐࠇߡ޿ࠆળຬߩᣇ‫ߪޘ‬㧘⥋ᕆ⚊౉ࠍ߅㗿޿ߒ߹ߔ㧚․ߦ㧘ᐔᚑ 12ᐕᐲએ㒠 ߩ ળ ⾌ ᧂ ⚊ ߩ ᣇ ߦ ߪ ‫ ޟ‬વ ᾲ ‫ ޟޠ‬THERMALSCIENCE AND ENGINEERING‫ߩޠ‬ㅍઃࠍ஗ᱛߒ
ߡ߅ࠅ㧘ㄭߊㅌળಣಽ߇ℂ੐ળߢ᳿ቯߐࠇ߹ߔ㧚㧟㧚੐ോዪߦߟ޿ߡ
ᰴߩᬺോࠍਅ⸥ߩ੐ോዪߢⴕߞߡ߅ࠅ߹ߔ㧚੐ ോ ዪ‫ ޝ‬ᬺോౝ ኈ‫ޞ‬γ )౉ ળዯ㧘ᄌ ᦝዯ㧘 ㅌળ ዯߩฃ ઃδ )ળ ⾌⚊౉ߩ ฃઃ㧘 ળ⾌ ᓽ෼╬ε )ળ ຬ㧘㕖ળ ຬ߆ࠄ ߩ໧ ޿วࠊ ߖߦ ኻߔࠆ ᔕኻ 㧘ㅪ⛊ ╬ζ )વ ᾲࠪࡦࡐ ࠫ࠙ࡓ ⚳ੌ ᓟߩ‫⻠ ޟ‬Ṷ ⺰ᢥ㓸‫ޠ‬ߩ ᵈᢥฃ ઃ㧘 ᣂ౉ળ ຬ߳ ߩቇળ ⹹‫ ޟ‬વᾲ‫ޠ‬㧘⺰ᢥ㓸‫ޟ‬THERMAL SCIENCE AND
ENGINEERING‫⊒ޠ‬ㅍ 㧘ߘ ߩઁೀ ⴕ‛ ߩ⊒ㅍη )ߘ ߩઁᔅⷐ ߥᬺോ‫ ޝ‬ᚲ࿷࿾ ‫ޞ‬ ‫ޥ‬113-0034 ᧲ ੩ㇺᢥ ੩඙ ḡፉ 2-16-16     ␠ ࿅ᴺੱ  ᣣ ᧄવᾲ ቇળ     TEL, FAX㧦03-5689-3401
E-MAIL: htsj@asahi-net.email.ne.jp
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વᾲ 2004 ᐕ 1 ᦬               - 74-‫ ޥ‬113-8656 ᧲੩ㇺ ᢥ੩ ඙ᧄㇹ 7-3-1
 ᧲੩ᄢ ቇᄢ ቇ㒮Ꮏ ቇ♽ ⎇ⓥ⑼ ᯏ᪾ Ꮏቇኾ ᡹       ═ᧁ િ⧷
TEL: 03-5841-6417  FAX: 03-5800-6999
E-Mail : htsj@thtlab.t.u-tokyo.ac.jp੐ോዪ߆ࠄߩㅪ⛊ᣂ౉ળຬ㧔㨪㧕 ฬ

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◉ᐔ ᄢテ૑෹㊀ᯏ᪾Ꮏᬺࢃቇ↢็႐ ᵴ૫

✚ว⎇ⓥᄢቇ㒮ᄢቇ





ቇ↢

ጊᧄ ᵏਯ

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⦼ᶆᎿᬺᄢቇᱜ⷏↰ ື਽

᳓↥ᄢቇᩞ





ᱜ

ጤፒ ⑲ᄦ

ࢃ᧲⦼⎇ⓥ㐿⊒࠮ࡦ࠲࡯





-75-

 Jour. HTSJ, Vol. 43, No. 178

ᣣᧄવᾲቇળᱜળຬ࡮ቇ↢ળຬ౉ળ↳ㄟߺ࡮ᄌᦝዯ↪⚕

વᾲ 2004 ᐕ 1 ᦬               - 76-

ᣣᧄવᾲቇળ ⾥ഥળຬᣂⷙ౉ળ↳ㄟߺዯߌ↪⚕㧜 ↳ㄟᐕ᦬ᣣ

ᐕ᦬ᣣ̪ߏ⸥౉ߦ㓙ߒߡߩᵈᗧᣣᧄવᾲቇળ߆ࠄߩㇷㅍ‛ߪઍ⴫⠪ߦ߅ㅍࠅߒߡ߅ࠅ߹ߔߩߢ㧘ઍ⴫⠪ߩᚲዻߦᄌᦝ߇޽ࠅ߹ߒߚࠄ㧘ᦠ㕙ߦߡ੐ോዪተߏㅪ⛊ߊߛߐࠆࠃ߁߅㗿޿ߒ߹ߔ㧚
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㧝㧚ቇળߩળ⸘ᐕᐲߪᲤᐕ 4 ᦬ 1 ᣣ߆ࠄ⠉ᐕ 3 ᦬ᧃᣣ߹ߢߢߔ㧚㧞㧚⾥ഥળຬߩળ⾌ߪ㧝ญ㧟㧜㧘㧜㧜㧜౞㧛ᐕߢ㧘↳ߒㄟߺߪ૗ญߢ߽⚿᭴ߢߔ㧚↳ߒㄟߺญᢙߦࠃࠅ㧘ᰴߩࠃ߁ߦಽߌߡ߅ࠅ߹ߔ㧚㧔㧟ญ㧕㧘B㧔㧞ญ㧕㧘C㧔㧝ญ㧕㧟㧚ળຬߦߥࠅ߹ߔߣ‫ޟ‬વᾲ‫ޟޠ‬THERMAL SCIENCE AND ENGINEERING‫ߒ↳߅ࠍޠ‬ㄟߺญᢙ㧝ญߦߟ߈ฦ
㧝ㇱ߅ㅍࠅߒ߹ߔ㧚‫ޟ‬ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓ⻠Ṷ⺰ᢥ㓸‫ߒ↳߅ࠍ╬ޠ‬ㄟߺญᢙ㧝ญߦߟ߈㧝ㇱήᢱߢߐߒ
޽ߍ߹ߔ㧚ߎߩવᾲߣ THERMAL SCIENCE AND ENGINEERING ߪㅢᏱ㧘ᐕ㧢࿁㧔㧡㧘㧣㧘㧥㧘㧝㧝㧘㧝㧘㧟᦬ภ㧕⊒ⴕߒߡ߅ࠅ߹ߔ㧚ૉߒ㧘ᣣᧄવᾲࠪࡦࡐࠫ࠙ࡓ⻠Ṷ⺰ᢥ㓸ߦߟ߈߹ߒߡߪ㧘೨ᐕᐲߩળ
⾌ࠍᐕᐲᧃ߹ߢߦቢ⚊ߐࠇߚળຬߦ㒢ࠅᒰ⹥ᐕᐲߩ߽ߩࠍήᢱߢߐߒ޽ߍ߹ߔ㧚ߥ߅㧘ᐕᐲㅜਛߢߏ౉
ળߐࠇߚᣇߦߪᱷㇱߩㇺวߢ߅ㅍࠅߢ߈ߥ޿႐ว߽޽ࠅ߹ߔߩߢ㧘޽ࠄ߆ߓ߼ߏᛚ⍮߅߈ߊߛߐ޿㧚㧠㧚ᧄቇળߢߪ㧘੐ോ૞ᬺ◲⚛ൻߩߚ߼ߦળ⾌ߩ㗔෼ᦠߩ⊒ⴕߪㇷଢᝄᦧ߿㌁ⴕᝄㄟߩប߃ࠍ޽ߡߡ޿߹ߔ㧚◲නߥᦠᑼߩ㗔෼ᦠߪߏ↪ᗧߢ߈߹ߔ߇㧘ߘࠇએᄖߩ႐วߦߪ⾆␠ߏᜰቯߩᦠᑼࠍߏㅍઃਅߐ޿߹ߔࠃ
߁߅㗿޿↳ߒ޽ߍ߹ߔ㧚↳ㄟᦠㅍઃవ‫᧲ ޥ‬੩ㇺᢥ੩඙ḡፉ               ␠࿅ᴺੱᣣᧄવᾲቇળ੐ോዪ  6'.㧒(#:㧧
ળ⾌ߩᝄㄟవ㧧 ㇷଢᝄᦧߩ႐ว̆ㇷଢᝄᦧญᐳ   ␠࿅ᴺੱᣣᧄવᾲቇળ
 ㌁ⴕᝄㄟߩ႐ว̆ߺߕ߶㌁ⴕᄢጟጊᡰᐫ᥉ㅢ㗍㊄ญᐳ 
␠࿅ᴺੱᣣᧄવᾲቇળ  ⃻㊄ᦠ⇐ߩ႐ว̆਄⸥ߩ੐ോዪተߦᓮㅍ㊄ਅߐ޿㧚



-77-

 Jour. HTSJ, Vol. 43, No. 178

વᾲ 2004 ᐕ 1 ᦬               - 78-ᐢ๔>࠮ࡦࠨ࠹ࠢࡁࠬᩣᑼળ␠

ᐢ๔᦭㧕࠹ࠢࡁࠝࡈࠖࠬ  ᦬ภ ᦝᣂᐢ๔ᣣᧄࠞࡁࡑ࠶ࠢࠬ

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ISSN 1344-8692

Journal of The Heat Transfer Society of Japan

Vol. 43, No. 178

2004 ᐕ  ᦬⊒ⴕ⊒ⴕᚲ ␠࿅ᴺੱ ᣣᧄવᾲቇળ
‫ޥ‬113-0034 ᧲੩ㇺᢥ੩඙ḡፉ 2-16-16
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