Journal of the Heat Transfer Society of Japan
Vol. 59, No. 246
2020. 1

Thermal Science and Engineering
Vol. 28, No. 1
2020. 1

◆特集：接触熱抵抗の評価と低減 −基礎研究と実用化の進展−

http://www.htsj.or.jp/journals/1955.html

 
ᕥ㸸ᅽຊ

ᐃࣇ࢕࣒ࣝ࡟ࡼࡿ᥋ゐ㠃࡟࠾ࡅࡿᒁᡤ᥋ゐᅽຊ pcell ศᕸࡢホ౯᪉ἲྑ㸸࠺ࡡࡾࡀ᭷ࡿ Al2O3㸦96%㸧࡜࠺ࡡࡾࡀ↓࠸ A5052H34 ࢆࢢ࣮ࣜࢫࣞࢫ᥋ゐࡉࡏࡓሙྜࡢ୙ᆒ୍᥋
ゐᅽຊࡢᅽຊ

ᐃࣇ࢕࣒ࣝ࡟ࡼࡿホ౯᪉ἲ࡜㸦≉㞟グ஦ࠕᅽຊ

ᐃ⤖ᯝ౛㸬ᐃࣇ࢕࣒ࣝࢆ฼⏝ࡋࡓ᥋ゐ⇕᢬ᢠࡢホ౯᪉ἲ㸦㟷ᮌ ὒ⛱㸧
ࠖࡼࡾ㸧

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ᕥ㸸ឤ⇕༳ๅࡢ࢖࣓࣮ࢪᅗ   ྑ㸸ᑐᛂࡍࡿ⇕ᅇ㊰⥙ࢻࢵࢺࣄ࣮ࢱ㸦ᚤ⣽࡞᢬ᢠయ㸧ࡀከᩘᐇ⿦ࡉࢀࡓࢧ࣮࣐ࣝ࣊ࢵࢻ࡜࿧ࡤࢀࡿ༳ๅᶵ࡜ࣉࣛࢸ࣮ࣥࣟࣛ
ࡢ㛫ࢆ㸪Ⰽ⣲ࢆሬᕸࡋࡓឤ⇕⣬ࡀ㏻㐣ࡍࡿ㸬ࡇࡢ࡜ࡁ㸪༳ๅࡍࡿᩥᏐࡸ⏬ീ࡟ᛂࡌ㸪ᑐᛂࡍࡿࢻࢵࢺࣄ
࣮ࢱࢆ㏻㟁ຍ⇕ࡉࡏឤ⇕⣬࡟⇕ࢆຍ࠼ࡿ㸬ឤ⇕⣬࡟ሬᕸࡉࢀࡓⰍ⣲ࡀ⇕࡟ࡼࡾኚⰍࡋ㸪ࡑࡢ⤖ᯝ㸪⏝⣬࡟ᩥᏐࡸ⏬ീࡀ༳ๅࡉࢀࡿ㸬㸦≉㞟グ஦ࠕឤ⇕༳ๅࣉࣟࢭࢫ࡟ᙳ㡪ࡍࡿ᥋ゐ⇕᢬ᢠࡢホ౯㸦⚟Ụ 㧗ᚿ㸧ࠖࡼࡾ㸧ఏ⇕ 2020 ᖺ 1 ᭶

J. HTSJ, Vol. 59, No. 246

Vol.59

2020

No 246

Januaryఏ  ⇕┠ ḟࠑᕳ㢌ࢢࣛࣅ࢔ࠒ㟷ᮌ ὒ⛱㸦KOA ᰴᘧ఍♫㸧࣭⚟Ụ 㧗ᚿ㸦㔠ἑᕤᴗ኱Ꮫ㸧 ··········· ⾲⣬⿬ࠑ≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫ࠒ㟁Ꮚᶵჾ࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠண ࡜᥋ゐ㠃࡛ࡢ⇕⦰ὶࡢᙳ㡪···························································· ␊ᒣ ཭⾜㸪ර⸨ ᩥ⣖㸦ᐩᒣ┴❧኱Ꮫ㸧 ··········· 1㠀ᐃᖖἲ࡟ࡼࡿ᥋ゐ⇕᢬ᢠࡢ ᐃ࡜ホ౯ ······· ྜྷ⏣ ⠜ṇ㸪ຍ㈡⏣ ⩧㸦኱㜰ᗓ❧኱Ꮫ㸧 ··········· 7㧗⇕ὶ᮰⎔ቃୗ࡟࠾ࡅࡿ TIM ཬࡧ᥋ゐᅽຊ༳ຍ࡟ࡼࡿ᥋ゐ⇕᢬ᢠపῶຠᯝࡢ᳨ド····································································· ᮌఅ ⌮ἋᏊ㸦ᒣཱྀᮾி⌮⛉኱Ꮫ㸧 ··········· 14㟁Ꮚᶵჾ࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠࡢపῶᢏ⾡······················ ⠛⏣ ༟ஓ㸦ᰴᘧ఍♫ࢹࣥࢯ࣮㸧㸪Ᏻ஭ 㱟ኴ㸦ᰴᘧ఍♫࣓࢖ࢸࢵࢡ㸧 ··········· 19ᅽຊ ᐃࣇ࢕࣒ࣝࢆ฼⏝ࡋࡓ᥋ゐ⇕᢬ᢠࡢホ౯᪉ἲ ········ 㟷ᮌ ὒ⛱㸦KOA ᰴᘧ఍♫㸧 ··········· 25ឤ⇕༳ๅࣉࣟࢭࢫ࡟ᙳ㡪ࡍࡿ᥋ゐ⇕᢬ᢠࡢホ౯ ················ ⚟Ụ 㧗ᚿ㸦㔠ἑᕤᴗ኱Ꮫ㸧 ··········· 31ࠑࣄࢫࢺ࣮ࣜQࠒே࡜⇕࡜ࡢ㛵ࢃࡾࡢ㊊㊧㸦ࡑࡢ 6㸧㸫㜿Ἴ⸛ࡢⓎᒎ࡜⸛ᰁࡵࡢఏ⤫ᢏ⾡࡟࠾ࡅࡿ⇕࡜ࡢ㛵ࢃࡾ㸫····································································· Ἑᮧ ὒ㸦බ❧ㄶゼᮾி⌮⛉኱Ꮫ㸧⯞஭ ⏤⨾Ꮚ㸦୕ᮌᩥᗜ㸧㸪᪂ᒃ ಟ㸦᪂ᒃ〇⸛ᡤ㸧 ··········· 37ࠑ࢚ࢹࣗࢣ࣮ࢩࣙࣥ Qࠒ
ࢽ࣮ࣗࢺࣥࡢ෭༷ἲ๎㸦ࡑࡢ 3㸧㸫ᙉไᑐὶᐇ㦂㸫················································· ᅭᒣ 㔜┤㸦ඵᡞ㧗ᑓ㸧㸪Ᏺ㇂ ಟ୍㸦ᮾ໭኱Ꮫ㸧 ··········· 46
ࠑሗ࿌ࠒThe 7th Asian Symposium on Computational Heat Transfer and Fluid Flow ̽2019 㛤ദሗ࿌···························································· 㡲㈡ ୍ᙪ㸪㔠⏣ ᫀஅ㸦኱㜰ᗓ❧኱Ꮫ㸧 ··········· 52᪥ᮏఏ⇕Ꮫ఍୺ദㅮ⩦఍ࠕィ ᢏ⾡ ࠥ ᗘ࣭⇕ὶ࣭⇕ఏᑟ⋡ ᐃࡢᇶ♏࡜ᛂ⏝ࠥࠖ㛤ദሗ࿌··········· ⩚㫽 ோே㸦࣋ࢸࣝ㸧㸪㏆⸨ ⩏ᗈ㸦᪥❧࢔࢝ࢹ࣑࣮㸧㸪す ๛ఛ㸦㊊฼኱Ꮫ㸧 ··········· 55
ࠑ⾜஦࢝ࣞࣥࢲ࣮ࠒ ········································································································· 59ࠑ࠾▱ࡽࡏࠒ
➨ 57 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࡢࡈ᱌ෆ ·············································································· 60ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹㸦➨ 57 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘㸧࡟ࡘ࠸࡚ ··································· 66
࣭஦ົᒁ࠿ࡽࡢ㐃⤡····································································································· 67ࠑ⦅㞟ฟ∧㒊఍ࣀ࣮ࢺࠒ ·································································································· 71

Vol.59㸪No. 246㸪January 2020
CONTENTS
㸺Opening-page Gravure: heat-page㸼
Hirotoshi AOKI (KOA Corporation)
Takashi FUKUE (Kanazawa Institute of Technology) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā

Opening Page

㸺Special Issue: Evaluation and Reduction of Thermal Contact ResistanceɆ Progress in Basic Research and Practical Application Ɇ㸼Prediction of Contact Thermal Resistance in Electronics and Constriction Heat Flow at Contact Surface
Tomoyuki HATAKEYAMA, Yoshiki HYODO (Toyama Prefectural University) āāāāāāāāāāāāāāāāāā 1
Measurement and Evaluation of Thermal Contact Resistance by Unsteady-State Method
Atsumasa YOSHIDA, Kakeru KAGATA (Osaka Prefecture University) āāāāāāāāāāāāāāāāāāāāāāāāāāāā 7
Verification of the Reduction Effect of Contact Thermal Resistancewith TIM and Contact Pressure in High Heat Flux
Risako KIBUSHI (Sanyo-Onoda City University) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 14
Technique for Reducing Thermal Contact Resistance of Electronic Control Unit
Takuya SHINODA (DENSO CORPORATION),
Ryuta YASUI (MEITEC CORPORATION) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 19
Evaluation method of contact thermal resistance using pressure measurement film
Hirotoshi AOKI (KOA Corporation) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 25
Evaluation of Effects of Contact Thermal Resistance on Direct Thermal Printing Process
Takashi FUKUE (Kanazawa Institute of Technology) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 31

㸺History Q㸼
Footprints of the relationship between humans and heat (Part 6)-Development of Awa Indigo and the Relationship between Traditional Indigo Dyeing and HeatHiroshi KAWAMURA (Suwa Univ. of Science),
Kumiko FUNAI (Miki Archives), Osamu NII (Nii Indigo Factory) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 37

㸺Education Q㸼
Newton’s Law of Cooling, Part 3, Experiment on Forced Convection
Shigenao MARUYAMA (INT, Hachinohe College),
Syuichi MORIYA (Tohoku University) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 46

㸺Conference Report㸼Report on the 7th Asian Symposium on Computational Heat Transfer and Fluid Flow-2019 (ASCHT2019)
Kazuhiko SUGA and Masayuki KANEDA* (Osaka Prefecture University) āāāāāāāāāāāāāāāāāāāāāā 52
Report on the Lecture “Measurement Technology, from Foundation and Application of
Temperature, Heat Flux and Thermal Conductivity Measurement”
Kimihito HATORI (Bethel), Yoshihiro KONDO (Hitachi Academy),
Koji NISHI (Ashikaga University) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 55

㸺Calendar㸼 āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 59
㸺Announcements㸼 āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 60
㸺Note from the JHTSJ Editorial Board㸼 āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 71≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫㟁Ꮚᶵჾ࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠண࡜᥋ゐ㠃࡛ࡢ⇕⦰ὶࡢᙳ㡪Prediction of Contact Thermal Resistance in Electronics and Constriction Heat Flowat Contact Surface␊ᒣ ཭⾜㸪ර⸨ ᩥ⣖㸦ᐩᒣ┴❧኱Ꮫ㸧Tomoyuki HATAKEYAMA, Yoshiki HYODO (Toyama Prefectural University)e-mail: hatake@pu-toyama.ac.jp㸯㸬ࡣࡌࡵ࡟
㟁ᏊᶵჾࡢⓎ⇕ᐦᗘࡢቑ኱࡟ࡼࡾ㸪㟁Ꮚᶵჾࡢ⇕⟶⌮ࡀ㔜せ࡜࡞ࡗ࡚࠸ࡿࡢࡣ࿘▱ࡢ஦ᐇ࡛࠶ࡿ㸬㟁Ꮚᶵჾࡢᨺ⇕ᛶࢆ㧗ࡃࡍࡿࡓࡵ࡟ࡣ㸪Ⓨ⇕㒊࠿ࡽእẼࡲ࡛ࡢ⇕᢬ᢠࢆᑠࡉࡃࡍࡿࡇ࡜ࡀ㔜せ࡛࠶ࡿ㸬㟁Ꮚᶵჾࡢෆ㒊ࡢ⇕᢬ᢠࢆᑠࡉࡃࡍࡿࡓࡵ࡟ࡣ㸪୺࡟⇕ఏᑟࡢ⇕᢬ᢠࢆᑠࡉࡃࡍࡿ࡜Ⰻ࠸㸬ࡑࡢࡓࡵ㸪㧗⇕ఏᑟᛶࡢࣇ࢕࣮ࣛࢆᶞ⬡࡟ΰධࡍࡿ࡞࡝㸪⇕ఏᑟᛶࡢ㧗࠸⤯⦕ᛶᮦᩱࡢ㛤Ⓨ࡞࡝ࡀ┒ࢇ࡟⾜ࢃࢀ࡚࠸ࡿ㸬ࡲࡓ㸪෭༷㒊࡟࠾ࡅࡿእẼ࡬ࡢᨺ⇕࡟㛵ࡋ࡚ࡣ㸪ᙉไᑐὶࢆ⏝࠸ࡓ෭༷ࢆ᥇⏝ࡍࡿᶵჾ࡛ࡣ㸪ᑐὶ⇕ఏ㐩ࡢ⇕᢬ᢠࢆ㸪⮬↛✵෭ࢆ⾜࠺ᶵჾ࡛ࡣ㸪ᑐὶ⇕ఏ㐩࡜㍽ᑕࡢ⇕᢬ᢠࢆᑠࡉࡃࡍࡿᚲせᛶࡀ⏕ࡌࡿ㸬ࡑࡢࡓࡵ㸪ࣄ࣮ࢺࢩࣥࢡ࡟ࡼࡿ⾲㠃✚ࡢቑ኱ࡸ㸪ࣄ࣮ࢺࢩࣥࢡࡢࣇ࢕ࣥᙧ≧ࢆᕤኵࡍࡿ࡞࡝ࡋ࡚
⇕ఏ㐩⋡ࢆ㧗ࡵࡿ◊✲࣭㛤Ⓨࡀᚲせ࡜࡞ࡿ㸬ࡇࢀࡽࡢ⇕᢬ᢠࢆపῶࡍࡿࡓࡵࡢ◊✲࣭㛤Ⓨࡀ㐍ࡴ࡜࡜ࡶ࡟㸪Ꮡᅾឤࢆቑࡋ࡚ࡁࡓ⇕᢬ᢠࡀ㸪᥋ゐ⇕᢬ᢠ࡛࠶ࡿ㸬᥋ゐ⇕᢬ᢠࡣ㸪ᅛయ࡜ᅛయࢆ≀⌮ⓗ࡟᥋ゐࡉࡏࡿࡇ࡜࡛Ⓨ⏕ࡍࡿ᥋ゐ㠃࡟࠾࠸࡚⏕ࡌࡿ⇕᢬ᢠ࡛࠶ࡿ㸬ᅛయࡢ⾲㠃ࢆᚤどⓗ࡟ほᐹࡍࡿ࡜㸪࡝ࢀ࡯࡝ࡼࡃ◊☻ࡋࡓ㠃࡛ࡶᚤ⣽࡞พฝࡀᏑᅾࡍࡿ㸬[1, 2]ࡇࡢᚤ⣽࡞พฝ࡟ࡼࡗ࡚㸪ᅛయྠኈࡢ≀⌮ⓗ࡞᥋ゐ㠃ࡣ㸪ᚤ⣽࡞ฝ㒊࡟ࡼࡿከᩘࡢⅬ᥋ゐ࡛ᵓᡂࡉࢀ࡚
࠸ࡿ㸬ࡑࡢࡓࡵ㸪᥋ゐ㠃࡟ࡣከࡃࡢ✵㝽㒊ࡀᏑᅾࡋ㸪✵㝽㒊ࡢᏑᅾࡀ⇕ࡢ㍺㏦ࢆጉࡆࡿ㸬ࡑࡢ⤖ᯝ࡜ࡋ࡚㸪᥋ゐ㠃࡟኱ࡁ࡞⇕᢬ᢠࡀⓎ⏕ࡍࡿ㸬㏻ᖖ㸪ᡃࠎࡀ฼⏝ࡍࡿ㟁Ꮚᶵჾࡣ኱Ẽ୰࡛฼⏝ࡉࢀࡿࡓࡵ㸪᥋ゐ㠃ࡢ✵㝽㒊࡟Ꮡᅾࡍࡿ≀㉁ࡣ✵Ẽ࡜࡞ࡿ㸬✵Ẽࡣ⇕ఏᑟ⋡ࡀ㠀ᖖ࡟ᑠࡉ࠸ࡓࡵ㸪✵Ẽࡀ᥋ゐ㠃࡟࠾ࡅࡿ⇕㍺㏦ࡢ኱ࡁ࡞㜼ᐖせᅉ࡜࡞ࡿ㸬ࡘࡲࡾ㸪᥋ゐ⇕᢬ᢠࢆᑠࡉࡃࡍࡿࡓࡵ࡟ࡣ㸪✵㝽㒊࡟Ꮡᅾࡍࡿ✵Ẽࢆ௚ࡢ⇕ఏᑟᛶࡢⰋ࠸≀㉁࡛⨨ࡁ᥮࠼ࢀࡤࡼࡃ㸪᥋ゐ㠃࡟ሬᕸࡍࡿ⇕ఏᑟࢢࣜࢫ࡞࡝ࡢ㛤Ⓨࡀ⾜ࢃࢀ࡚࠸ࡿ㸬ࡋ࠿ࡋ࡞ࡀࡽ㸪㏆ᖺࡣࢢࣜࢫࢆሬᕸࡋࡓ᥋ゐ㠃࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠ࡛ࡶ㸪㟁Ꮚᶵჾࡢᨺ⇕࡟࠾࠸࡚ఏ⇕ 2020 ᖺ 1 ᭶-1-ၥ㢟どࡉࢀࡿࡼ࠺࡟࡞ࡗ࡚ࡁࡓ㸬ࡑࡢせᅉࡣ㸪୺࡟஧ࡘ⪃࠼ࡽࢀࡿ㸬୍ࡘࡣ㸪ᶵჾ඲యࡢ⇕᢬ᢠ࡟ᑐࡋ
࡚㸪᥋ゐ⇕᢬ᢠࡢ༨ࡵࡿ๭ྜࡀ┦ᑐⓗ࡟኱ࡁࡃ࡞ࡗ
࡚ࡁࡓࡓࡵ࡜⪃࠼ࡽࢀࡿ㸬㟁Ꮚᶵჾࡢ⇕⟶⌮ࡢࡓࡵ࡟ࡣ㸪ᶵჾ඲యࡢ⇕᢬ᢠࢆᑠࡉࡃࡍࡿᚲせࡀ࠶ࡿ㸬ᢏ⾡ࡢ㐍ᒎ࡟క࠸㸪ᵝࠎ࡞⇕᢬ᢠࢆᑠࡉࡃࡋࡓ⤖ᯝ㸪ࡇࢀࡲ࡛┦ᑐⓗ࡟ᑠࡉ࠸್࡛࠶ࡗࡓ᥋ゐ⇕᢬ᢠࡢ༨ࡵࡿ๭ྜࡀቑ኱ࡋ㸪ၥ㢟どࡉࢀࡿࡼ࠺࡟࡞ࡗ࡚ࡁ
ࡓ࡜⪃࠼ࡽࢀࡿ㸬ࡶ࠺୍ࡘࡢせᅉࡣ㸪㧗Ⓨ⇕ᶵჾࡢ㟂せࡢቑ኱࡛࠶ࡿ㸬⮬ື㌴࡞࡝࡟฼⏝ࡉࢀࡿࣃ࣮࣡
࢚ࣞࢡࢺࣟࢽࢡࢫᶵჾࡢ㟂せࡢቑ኱࡟ࡼࡾ㸪኱ࡁ࡞
Ⓨ⇕ᐦᗘࢆ᭷ࡍࡿࢹࣂ࢖ࢫ࠿ࡽࡢᨺ⇕ࡢᚲせᛶࡀቑࡋ࡚࠸ࡿ㸬ᶵჾࡢ ᗘୖ᪼ࡣ㸪Ⓨ⇕㔞࡟⇕᢬ᢠࢆ஌ࡌࡿࡇ࡜࡛ィ⟬࡛ࡁࡿ㸬ࡘࡲࡾ㸪Ⓨ⇕㔞ࡀ኱ࡁࡃ࡞ࡿ࡜㸪ᑠࡉ࡞⇕᢬ᢠࡢ㒊఩࡛⏕ࡌࡿ ᗘୖ᪼ࡶ኱
ࡁࡃ࡞ࡿ㸬౛࠼ࡤ㸪࠶ࡿⓎ⇕㔞ࡢ᥋ゐ㠃࡛ 0.1Υࡢᗘୖ࡛᪼࠶ࡗࡓ࡜ࡋ࡚ࡶ㸪Ⓨ⇕㔞ࡀ 100 ಸ࡟࡞ࡿ࡜ ᗘୖ᪼ࡣ 10Υ࡜࡞ࡿ㸬㟁Ꮚᶵჾࡢ ᗘ⟶⌮࡛ࡣ㸪ࢩࣜࢥࣥࢆᮦᩱ࡜ࡋࡓ༙ᑟయࢆ⏝࠸ࡿᶵჾࡢሙ
ྜ㸪᭱ࡶ㧗 ࡟࡞ࡿ༙ᑟయࢹࣂ࢖ࢫ㒊ࡢチᐜ ᗘࡀ125Υ࠿ࡽ 175Υ⛬ᗘ࡛࠶ࡿࡓࡵ㸪10Υࡢ ᗘୖ᪼ࡣ↓ど࡛ࡁ࡞࠸್࡜࡞ࡿ㸬ࡑࡢࡓࡵ㸪ᑠࡉ࡞⇕᢬ᢠ࡛࠶ࡗ࡚ࡶ኱ࡁ࡞ၥ㢟࡜࡞ࡗ࡚ࡋࡲ࠸㸪᥋ゐ⇕᢬ᢠࡀၥ㢟どࡉࢀࡿࡼ࠺࡟࡞ࡗ࡚ࡁࡓ࡜⪃࠼ࡽࢀࡿ㸬[3]௨ୖࡢࡼ࠺࡟㸪᥋ゐ⇕᢬ᢠࡣ㟁Ꮚᶵჾࡢᨺ⇕࡟࠾ࡅࡿ㞀ᐖ࡛࠶ࡿ୍᪉࡛㸪㟁Ꮚᶵჾࢆタィࡍࡿ㝿ࡢᗘண ࡟࠾࠸࡚ࡶ኱ࡁ࡞㞀ᐖ࡜࡞ࡗ࡚࠸ࡿ㸬ࡑࡢ⌮⏤ࡣ㸪᥋ゐ⇕᢬ᢠࡀᮦᩱࡢ⾲㠃⢒ࡉࡸ᥋ゐᅽຊ࡞࡝ࡢ᥋ゐ≧ែ࡟ࡼࡗ࡚ኚ໬ࡋ㸪ணࡵ▱ࡿࡇ࡜ࡢ࡛ࡁ࡞
࠸್࡛࠶ࡿ࠿ࡽ࡛࠶ࡿ㸬ᩘ್ゎᯒ࡞࡝ࢆ⏝࠸࡚ᶵჾࡢ ᗘࢆண ࡍࡿ㝿㸪ᶵჾࢆᵓᡂࡍࡿ㟁Ꮚ㒊ရ࡞࡝ࡢෆ㒊࡟㛵ࡋ࡚ࡣ㸪⇕ఏᑟ⋡࡞࡝ࡢ≀ᛶ್ࢆධຊࡍ
ࡿࡇ࡜ࡀྍ⬟࡛࠶ࡿ㸬ࡋ࠿ࡋ㸪᥋ゐ⇕᢬ᢠࡣ㒊ရྠ
ኈࡢ᥋ゐ≧ែ࡟ࡼࡗ࡚ኚ໬ࡋ࡚ࡋࡲ࠺ࡓࡵ㸪ᐇ㝿࡟ᶵჾ࡛฼⏝ࡍࡿ㝿࡜ྠࡌ᥋ゐ≧ែࢆ෌⌧ࡋ࡚ィ

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫ࡍࡿ࡞࡝㸪࡞ࢇࡽ࠿ࡢᙧ࡛ィ ࡍࡿᚲせࡀ⏕ࡌࡿ㸬ࡘࡲࡾ㸪᥋ゐ⇕᢬ᢠࡣ㸪タィࡢึᮇẁ㝵࡟࠾ࡅࡿࢥ
ࣥࣆ࣮ࣗࢱࡢࡳ࡛ࡢᶵჾࡢ ᗘண ࡢ㞀ᐖ࡟࡞ࡗ࡚࠸ࡿ㸬௨ୖࡢࡼ࠺࡟㸪᥋ゐ⇕᢬ᢠࡣ㸪ࡑࡢ್⮬యࢆᑠࡉࡃࡍࡿᚲせࡀ࠶ࡿ࡜࡜ࡶ࡟㸪ṇ☜࡞್ࢆணࡍࡿࡇ࡜ࡶồࡵࡽࢀ࡚࠸ࡿ㸬ᮏ✏࡛ࡣ㸪᥋ゐ⇕᢬ᢠࡢண ࡟㛵ࡍࡿ᳨ウ஦౛ࢆ⤂௓ࡍࡿ㸬㸰㸬᥋ゐ⇕᢬ᢠࡢண ᘧ᥋ゐ⇕᢬ᢠࡢண ࡟㛵ࡋ࡚ࡣ㸪ᶲ࣭బ㔝ᕝ࡟ࡼࡗ࡚ྂࡃ࠿ࡽ᳨ウࡉࢀ࡚࠸ࡿ㸬ᶲ࣭బ㔝ᕝࡀᥦ᱌ࡋ࡚
࠸ࡿᘧࡣ㸪᥋ゐ㠃ࢆ⡆᫆ⓗ࡟ࣔࢹࣝ໬ࡋ㸪ࣘࢽࢵࢺࢭࣝ࡜࿧ࡤࢀࡿ⡆᫆ࣔࢹࣝ࡟࠾ࡅࡿ⇕᢬ᢠࢆᐃᘧ
໬ࡋࡓࡶࡢ࡛࠶ࡿ㸬ࡓࡔࡋ㸪ᶲ࣭బ㔝ᕝࡢᘧࡣ㸪ཎᏊຊศ㔝࡛ࡢᛂ⏝ࢆ┠ⓗ࡜ࡋ᳨࡚ドࡉࢀ࡚ࡁࡓࡓ
ࡵ㸪᥋ゐᅽຊࡀ 1 MPa ௨ୖࡢሙྜ࡛ࡢ㐺⏝ࡀ᥎ዡࡉࢀ࡚࠸ࡿ㸬[4, 5] ୍᪉࡛㸪㟁Ꮚᶵჾ࡟࠾࠸࡚ࡣ㸪㒊ရࡢ᥋ゐᅽຊࡀ 10ࠥ1000 kPa ࡛࠶ࡿ࡜ゝࢃࢀ࡚࠾ࡾ㸪ᶲ࣭బ㔝ᕝࡢᘧ࡛ࡢ᥋ゐ⇕᢬ᢠࡢண ⢭ᗘࡀಖドࡉࢀ࡚࠸࡞࠸㸬௨ୗ㸪ᶲ࣭బ㔝ᕝࡢᘧࡢᑟฟࢆ
⤂௓ࡍࡿ࡜࡜ࡶ࡟㸪㟁Ꮚᶵჾ࡟࠾ࡅࡿ᥋ゐᅽຊ⠊ᅖ࡛ࡢ㐺⏝ྍ⬟ᛶࢆ㆟ㄽࡍࡿ㸬ᅗ 1 ࡟㸪᥋ゐ㠃ࡢࣔࢹࣝ໬ࡢ࢖࣓࣮ࢪᅗࢆ♧ࡍ㸬᥋ゐ㠃ࡣ㸪ᅗ 1(a)ࡢࡼ࠺࡟」㞧࡛ࣛࣥࢲ࣒࡞ከᩘࡢ
Ⅼ᥋ゐ࡛ᵓᡂࡉࢀ࡚࠸ࡿ㸬ࡇࡢࡼ࠺࡞᥋ゐ㠃ࢆ㸪ᅗ
1(b)࡟♧ࡍࡼ࠺࡞ࣔࢹࣝ໬࡟ࡼࡾ㸪୍ᐃࡢ㧗ࡉࡢฝ㒊ࡀ㸪୍ᐃࡢ࢖ࣥࢱ࣮ࣂ࡛ࣝ⧞ࡾ㏉ࡋ୪ࢇ࡛࠸ࡿᵓ
㐀࡛࠶ࡿ࡜௬ᐃࡍࡿ㸬᭦࡟㸪⧞ࡾ㏉ࡋᵓ㐀ࡢ୍㒊ࡢࡳࢆྲྀࡾฟࡋ㸪ࡇࢀࢆࣘࢽࢵࢺࢭࣝ࡜࿧ࡪ㸬ࣘࢽࢵࢺࢭࣝୖഃࡢᮦᩱࢆᮦᩱ 1㸪ୗഃࡢᮦᩱࢆᮦ
ᩱ 2 ࡜ࡍࡿ㸬ᮦᩱ 1 ࡜ᮦᩱ 2 ࡢ᥋ゐ㒊ࡣ㸪ᮦᩱྠኈࡀ┤᥋᥋ゐࡋ࡚࠸ࡿ┿ᐇ᥋ゐ㒊࡜㸪✵㝽㒊࡟ࡼࡗ࡚ᵓᡂࡉࢀࡿᙧ࡜࡞ࡗ࡚࠸ࡿ㸬┿ᐇ᥋ゐ㒊ࡢ㠃✚ࢆ a࡜ࡋ㸪✵㝽㒊ࡶྵࡴࣘࢽࢵࢺࢭࣝ඲యࡢ㠃✚ࢆ A ࡜ࡍࡿ㸬ᮦᩱ 1 ࠾ࡼࡧ 2 ࡢ┿ᐇ᥋ゐ㒊ࡢ㧗ࡉࢆ z1㸪z2࡜ࡍࡿ㸬ࡲࡓ㸪ᮦᩱ 1㸪2 ࠾ࡼࡧ✵Ẽࡢ⇕ఏᑟ⋡ࢆ㸪ࡑࢀࡒࢀ k1㸪k2㸪O࡜ࡍࡿ㸬

ᮦᩱ1

㠃✚a

z1
z2

Rreal
ᮦᩱ2

㠃✚A

ᅗ 2 ࣘࢽࢵࢺࢭࣝࣔࢹࣝ

ᅗ 3 ┿ᐇ᥋ゐ㒊ࡢ⇕᢬ᢠࡇࡢࣘࢽࢵࢺࢭࣝࣔࢹࣝ࡟࠾ࡅࡿ㸪┿ᐇ᥋ゐ㒊࡜✵㝽㒊ࡢྜᡂ⇕᢬ᢠࢆồࡵࡿ㸬ࡲࡎ㸪ࣘࢽࢵࢺࢭࣝ
ࣔࢹࣝࡢ᥋ゐ㒊࡛ࡣ㸪ᅗ 2 ࡟♧ࡍࡼ࠺࡟㸪┿ᐇ᥋ゐ㒊࡜✵㝽㒊ࡢ୪ิࡢ⇕᢬ᢠ࡜࡞ࡗ࡚࠸ࡿࡓࡵ㸪ྜィࡢ⇕᢬ᢠࡣᘧ 1 ࡢࡼ࠺࡟࡞ࡿ㸬ࡇࡇ࡛㸪Rreal ࡣ┿ᐇ᥋ゐ㒊ࡢ⇕᢬ᢠ㸪Rair ࡣ✵㝽㒊ࡢ⇕᢬ᢠ࡛࠶ࡿ㸬
1
1
1
ൌ
൅
ܴ ܴ௥௘௔௟ ܴ௔௜௥(a) ᥋ゐ㠃ࡢ࢖࣓࣮ࢪᅗ

Rair

(1)

᭦࡟㸪┿ᐇ᥋ゐ㒊ࡢ⇕᢬ᢠࡣ㸪ᅗ 3 ࡟♧ࡍࡼ࠺࡟ᮦᩱ 1 ࡜ᮦᩱ 2 ࡢ┤ิࡢ⇕᢬ᢠ࡜࡞ࡗ࡚࠸ࡿࡓࡵ㸪ྜィࡢ⇕᢬ᢠࡣᘧ 2 ࡢࡼ࠺࡟࡞ࡿ㸬(b) ࣔࢹࣝ໬ࡋࡓ᥋ゐ㠃ܴ௥௘௔௟ ൌ ܴଵ ൅ ܴଶ(2)

ᅗ 1 ᥋ゐ㠃ࡢࣔࢹࣝ໬
ᅗ 2 ࡟㸪ࣘࢽࢵࢺࢭࣝࡢヲ⣽ࢆ♧ࡍ㸬ࡇࡇ࡛ࡣ㸪ఏ⇕ 2020 ᖺ 1 ᭶-2-ࡇࡇ࡛㸪R1 ࡜ R2 ࡣ㸪ࡑࢀࡒࢀᮦᩱ 1 ࡜ᮦᩱ 2 ࡢ⇕᢬ᢠ࡛࠶ࡿ㸬

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫
R1 ࡜ R2 ࡣ㸪ᘧ 3 ࠾ࡼࡧᘧ 4 ࡛⟬ฟ࡛ࡁࡿ㸬
ܴଵ ൌ

‫ݖ‬ଵ
ܽ
݇ଵ
‫ܣ‬

‫ݖ‬ଶ
ܴଶ ൌ ܽ
݇ଶ‫ܣ‬ࡇࡇ࡛㸪1/h0 ࡀ⇕⦰ὶࡢᙳ㡪ࢆ⾲ࡋࡓ㡯࡛࠶ࡾ㸪
1/h0 ࡣ㸪ᘧ 9 ࡛⾲ࡉࢀࡿ㸬
1
11
ൌ 2.3 ൈ 10ିହ ൬ ൅ ൰
݄଴
݇ଵ ݇ଶ

(3)

(4)
ࡲࡓ㸪┿ᐇ᥋ゐ㒊࡜ࣘࢽࢵࢺࢭࣝࡢ㠃✚ẚࡣ㸪ḟᘧ࡛㏆ఝࡍࡿࡇ࡜ࡀ࡛ࡁࡿ㸬[1]ࡇࢀࡽࢆᘧ 2 ࡟௦ධࡍࡿࡇ࡜࡟ࡼࡾ㸪ᘧ 5 ࢆᚓࡿ㸬ܴ௥௘௔௟ ൌ ൬‫ݖ‬ଵ ‫ݖ‬ଶ ‫ܣ‬൅ ൰݇ଵ ݇ଶ ܽ

ܽ ܲ
ൌ
‫ܪ ܣ‬

(5)

‫ݖ‬ଵ ൅ ‫ݖ‬ଶܽ
ቀ1 െ ቁ ߣ‫ܣ‬(6)ᘧ 5 ࡜ᘧ 6 ࢆ㸪ᘧ 1 ࡟௦ධࡍࡿࡇ࡜࡟ࡼࡾ㸪ᘧ 7
ࢆᚓࡿ㸬
ܴൌ

1
ߣ
ܽ
1 ܽ
‫ݖ‬ଵ ‫ݖ‬ଶ ‫ ܣ‬൅ ‫ݖ‬ଵ ൅ ‫ݖ‬ଶ ቀ1 െ ‫ܣ‬ቁ
൅
݇ଵ ݇ଶ

(7)

ᘧ 7 ࡀ㸪ᶲࡀᥦ᱌ࡋࡓ᥋ゐ⇕᢬ᢠࡢண ᘧ࡛࠶ࡿ㸬ࡋ࠿ࡋ㸪ࡇࡢᘧࢆ⏝࠸࡚⟬ฟࡋࡓ್ࡣ㸪ᐇ ࡋࡓ⇕᢬ᢠࡼࡾࡶᑠࡉ࡞್ࢆ♧ࡍ㸬ࡑࡢཎᅉࡣ㸪┿ᐇ᥋ゐ㒊࡟ὶࢀ㎸ࡴ⇕ࡢ⦰ὶ࡜㸪┿ᐇ᥋ゐ㒊࠿ࡽὶࢀฟ
ࡍ⇕ࡢᛴᣑ኱ࡢᙳ㡪࡛࠶ࡿ㸬ὶయ࡜ྠᵝ࡟㸪⇕ὶࡶ⦰ὶࡸᛴᣑ኱㸦௨ୗ㸪ᛴᣑ኱ࡶྵࡵ࡚⦰ὶ࡜࿧ࡪ㸧࡟ࡼࡗ࡚㸪᢬ᢠࡀⓎ⏕ࡍࡿ㸬ᘧ 7 ࡛ࡣ㸪ࡇࢀࡽࡢᙳ
㡪ࡀ⪃៖ࡉࢀ࡚࠸࡞࠸ࡓࡵ㸪ᐇ ࡼࡾࡶᑠࡉ࡞⇕᢬ᢠࡀ⟬ฟࡉࢀࡿࡇ࡜࡜࡞ࡿ㸬ࡑࡇ࡛㸪ᘧ 7 ࢆ࣮࣋ࢫ࡜ࡋ࡚㸪⇕⦰ὶࡢᙳ㡪ࢆຍ࿡ࡋࡓᘧ 8 ࡀ㸪బ㔝ᕝ࡟ࡼࡗ࡚ᥦ᱌ࡉࢀࡓ㸬ܴൌ㸱㸬᥋ゐ⇕᢬ᢠࡢィ ᥋ゐ⇕᢬ᢠࡢィ ࡟ࡣ㸪ᐩᮧࡽࡀ⪃᱌ࡋࡓᐃᖖἲ
ࡢ⇕᢬ᢠィ ⿦⨨ࢆ⏝࠸ࡓ㸬[6] ᅗ 4 ࡟㸪ィ ⿦⨨඲యᅗࢆ♧ࡍ㸬ࡲࡓ㸪ᅗ 5 ࡟㸪ࢸࢫࢺࢭࢡࢩࣙࣥࡢ
ᣑ኱ᅗࢆ♧ࡍ㸬⿦⨨ࡣኳ⛗ᆺ࡟࡞ࡗ࡚࠾ࡾ㸪㔜ࡾࡢ㔜ࡉࢆኚ᭦ࡍࡿࡇ࡜࡛㸪ࢸࢫࢺࢭࢡࢩࣙࣥ࡟༳ຍࡍࡿ᥋ゐᅽຊࢆኚ᭦ࡍࡿࡇ࡜ࡀྍ⬟࡛࠶ࡿ㸬ࢸࢫࢺࢭࢡࢩࣙࣥࡣ㸪஧ᮏࡢ┿㘷〇ࣟࢵࢻࡢ㛫࡟ࢧࣥࣉࣝࢆ
ᣳࡳ㸪ୖ㒊ࣟࢵࢻࡢୖ㠃ࢆࣄ࣮ࢱ࡛ຍ⇕ࡋ㸪ୗ㒊ࣟࢵࢻࡢୗ㠃ࢆᚠ⎔෭༷Ỉ࡟ࡼࡗ࡚෭༷ࡉࢀࡓ㖡ࣈࣟࢵࢡ࡛෭༷ࡍࡿᙧ࡟࡞ࡗ࡚࠸ࡿ㸬ୖୗࣟࢵࢻࡑࢀ
ࡒࢀࡢ㸪 ᗘ໙㓄ࢆ⇕㟁ᑐ࡛ィ ࡍࡿ㸬ィ ࡉࢀࡓᗘ໙㓄ࢆ⏝࠸࡚㸪ࢧࣥࣉࣝୖୗ㠃ࡢ ᗘᕪࢆồࡵࡿ࡜࡜ࡶ࡟㸪ࣇ࣮࢚ࣜࡢἲ๎࡟ࡼࡗ࡚ࣟࢵࢻෆ㒊ࢆὶࢀࡿ⇕ὶࢆồࡵࡿ㸬ồࡵࡽࢀࡓ ᗘᕪ࡜⇕ὶࢆ⏝࠸࡚㸪ᘧ 11 ࡼࡾ⇕᢬ᢠࢆồࡵࡿ㸬

1
1
ܽ
ߣ
ܽ
‫ݖ‬ଵ 1 ‫ݖ‬ଶ ‫ ܣ‬൅ ‫ݖ‬ଵ ൅ ‫ݖ‬ଶ ቀ1 െ ‫ܣ‬ቁ൅ ൅݇ଵ ݄଴ ݇ଶఏ⇕ 2020 ᖺ 1 ᭶(10)ࡇࡇ࡛㸪P ࡣ᥋ゐᅽຊ㸪H ࡣࣦ࢕ࢵ࣮࢝ࢬ◳ࡉ࡛࠶ࡿ㸬㸦H ࡣࣦ࢕࣮࢝ࢬ◳ࡉ㸪ࣈࣜࢿࣝ◳ࡉࡢ࠺ࡕ㸪㌾ࡽ࠿࠸᪉࡜࠸࠺⪃࠼᪉ࡶ࠶ࡿ㸧ᮏ✏࡛ࡣ㸪ᘧ 7 ࢆᶲࡢᘧ㸪ᘧ 8 ࢆᶲ࣭బ㔝ᕝࡢᘧ࡜࿧ࡪ㸬ඛ࡟ࡶグࡋࡓ࡜࠾ࡾ㸪ࡇࢀࡽࡢᘧࡣ 1 MPa ௨ୖ
ࡢ᥋ゐᅽຊࢆ᝿ᐃࡋ࡚࠾ࡾ㸪㟁Ꮚᶵჾࡢ᥋ゐᅽຊ⠊ᅖ࡛ࡢ㐺⏝ᛶࡢ᳨ドࡀᚲせ࡛࠶ࡿ㸬ࡑࡇ࡛㸪㟁Ꮚᶵჾࡢ᥋ゐᅽຊ⠊ᅖ࡛㸪᥋ゐ⇕᢬ᢠࢆᐇ ࡋࡓ⤖ᯝ࡜
ᘧ 7 ࠾ࡼࡧᘧ 8 ࠿ࡽ⟬ฟࡉࢀࡓ್࡜ࢆẚ㍑ࡋ㸪ᘧࡢ㐺⏝ᛶࢆ᳨ドࡋࡓ㸬ࡲࡓ㸪✵㝽㒊ࡢ⇕᢬ᢠࡣ㸪ᘧ 6 ࡛ồࡵࡿࡇ࡜ࡀ࡛
ࡁࡿ㸬ܴ௔௜௥ ൌ

(9)

ܴൌ

(8)

-3-

ȟܶ
‫ݍ‬

(11)

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫ࡇࡇ࡛㸪'T ࡣࢧࣥࣉࣝୖୗ㠃ࡢࣉࣝࢆὶࢀࡿ⇕ὶ᮰࡛࠶ࡿ㸬ᅗ 4 ⇕᢬ᢠィᗘᕪ㸪q ࡣࢧࣥࡓ᥋ゐ⇕᢬ᢠࢆ♧ࡍ㸬ᅗ 5 ࡟♧ࡍ ᗘᕪࢆ⏝࠸࡚ᘧ
11 ࡼࡾ⇕᢬ᢠࢆồࡵࡿ࡜㸪ࢧࣥࣉࣝ⮬యࡢ⇕᢬ᢠ࡜᥋ゐ⇕᢬ᢠࡢྜィ್ࡀồࡵࡽࢀࡿࡇ࡜࠿ࡽ㸪ᘧ
11 ࡼࡾᚓࡽࢀࡓ್࠿ࡽ㸪ࢧࣥࣉࣝ⮬యࡢ⇕᢬ᢠࢆᘬࡃࡇ࡜࡟ࡼࡗ࡚㸪᥋ゐ⇕᢬ᢠࡢࡳࢆ⟬ฟࡋ࡚࠸ࡿ㸬ᅗ࠿ࡽ᫂ࡽ࠿࡞ࡼ࠺࡟㸪ィ ࡉࢀࡓ᥋ゐ⇕᢬ᢠࡣ㸪
ᘧ 7㸦ࢢࣛࣇ୰ Tachibana㸧࡜ᘧ 㸦
8 ࢢࣛࣇ୰ Tachibana& Sanokawa㸧ࡢ㛫ࡢ್࡜࡞ࡗ࡚࠸ࡿ㸬ࡇࡢࡇ࡜࠿ࡽ㸪㟁Ꮚᶵჾ᥋ゐᅽຊ࡟࠾࠸࡚ࡶ⇕⦰ὶࡢᙳ㡪ࡀ࠶ࡿࡇ࡜ࡀࢃ࠿ࡿ࡜࡜ࡶ࡟㸪ᘧ 8 ࡛ࡣ⇕⦰ὶࡢᙳ㡪ࢆ㐣኱ホ౯ࡋ࡚࠸ࡿࡇ࡜ࡀࢃ࠿ࡿ㸬ࡋ࠿ࡋ࡞ࡀࡽ㸪ᘧ 8ࡢ⤖ᯝ࡜ィ ⤖ᯝ࡟኱ࡁ࡞ᕪࡣ࡞ࡃ㸪ᘧ 8 ࡛ࡶ㟁Ꮚᶵჾ᥋ゐᅽຊࡢ⠊ᅖ࡟࠾࠸࡚㸪᥋ゐ⇕᢬ᢠࡢ್ࢆண
ྍ⬟࡛࠶ࡿ࡜ࡶゝ࠼ࡿ㸬⿦⨨

Thermalresistance[K䞉mm2 /W]

HeaterTemperature
measurementpointȴTSamples

CoolingBlock

600
500
400
300
Tachibana

200

Tachibana&Sanokawa

100

Experiment

0
0

20

ᅗ 5 ࢸࢫࢺࢭࢡࢩࣙࣥ
ᅗ 7 ィ
ᅗ 6 ࡟㸪᥋ゐ⇕᢬ᢠࢆィ ࡋࡓࢧࣥࣉࣝࢆ♧ࡍ㸬⾲㠃⢒ࡉࡢ␗࡞ࡿ 2 ࡘࡢ Al1010 ྠኈࡢ᥋ゐ㠃㸦Ra= 0.2 Pm ࡜ Ra = 3.2 Pm ࢆ᥋ゐࡉࡏࡓ᥋ゐ㠃㸧࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠࢆィ ࡋࡓ㸬

ᅗ6 ィ
ᅗ 7 ࡟ィ

ࢧࣥࣉࣝ⤖ᯝ࡜㸪ᘧ 7 ࠾ࡼࡧᘧ 8 ࠿ࡽ⟬ฟࡉࢀఏ⇕ 2020 ᖺ 1 ᭶

-4-

40
60
Contactpressure[kPa]

⤖ᯝ࡜ண

80

100

ᘧࡢẚ㍑

㸲㸬᥋ゐ㠃࡟࠾ࡅࡿ⇕⦰ὶࡢᙳ㡪᥋ゐ⇕᢬ᢠࡢィ ⤖ᯝ࡜ᘧ 7 ࠾ࡼࡧᘧ 8 ࡢ⤖ᯝࢆẚ㍑ࡍࡿࡇ࡜࡛㸪⇕⦰ὶࡢᙳ㡪ࢆ⪃៖ࡋ࡞࠸ሙྜࡣ᥋ゐ⇕᢬ᢠࢆᑠࡉࡃぢ✚ࡶࡿࡇ࡜࡟࡞ࡾ㸪ᘧ 8 ࡢᙧ࡛⇕⦰ὶࡢᙳ㡪ࢆ⪃៖ࡋࡓሙྜࡣ㸪᥋ゐ⇕᢬ᢠࢆ኱ࡁࡃぢ✚ࡶࡿࡇ࡜࡟࡞ࡿࡇ࡜ࡀࢃ࠿ࡗࡓ㸬ࡇࡢ⤖ᯝࡼࡾ㸪㟁Ꮚᶵჾ᥋ゐᅽຊࡢ⠊ᅖ࡛ࡢࡉࡽ࡞ࡿண
⢭ᗘࢆồࡵࡿࡓࡵ࡟ࡣ㸪ᘧ 8 ࡟࠾ࡅࡿ⇕⦰ὶࡢ㡯ࢆぢ┤ࡍᚲせࡀ࠶ࡿ㸬ࡑࡇ࡛㸪ᅗ 2 ࡟♧ࡍ༢఩ࢭࣝࣔ
ࢹࣝࢆゎᯒࢯࣇࢺୖ࡛෌⌧ࡋ㸪⇕ఏᑟゎᯒ࡟ࡼࡗ࡚
⇕⦰ὶࡢᙳ㡪ࡢ⪃ᐹࢆ⾜ࡗࡓ㸬ゎᯒ࡟ࡣ㸪ࢯࣇࢺ࢙࢘࢔ࢡࣞ࢖ࢻࣝ〇 Stream V14 ࢆ฼⏝ࡋࡓ㸬ࣘࢽࢵࢺࢭࣝࣔࢹࣝ࡟࠾࠸࡚㸪᥋ゐᅽຊࡢᙳ㡪ࡣ㸪
ᘧ 10 ࡼࡾ㸪᥋ゐᅽຊࡢኚ໬࡟క࠸┿ᐇ᥋ゐ㒊ࡢ๭ྜࡀኚ໬ࡍࡿࡇ࡜ࢆ฼⏝ࡋ࡚㸪┿ᐇ᥋ゐ㒊ࡢ㠃✚ࢆኚ໬ࡉࡏࡿࡇ࡜࡟ࡼࡗ࡚⾲⌧ࡋࡓ㸬ࡲࡓ㸪ᐇ㦂࡜ྠᵝ࡟㸪ࣘࢽࢵࢺࢭࣝࣔࢹࣝࡢୖ㠃࡟⇕ὶ᮰ࢆ୚࠼㸪

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫ᅖ࡛ࡣ㸪ᶲ࣭బ㔝ᕝࡢᘧࢆ࣮࣋ࢫ࡜ࡋ࡚㸪⇕⦰ὶࡢ㡯ࢆಟṇࡍࡿࡇ࡜࡟ࡼࡾ㸪ࡼࡾṇ☜࡞᥋ゐ⇕᢬ᢠࡢண ࡀྍ⬟࡜࡞ࡿ࡜⪃࠼ࡽࢀࡿ㸬

500
450
400
350
300
250
200
150
100
50
0

50
Heatflowratio[%]Thermalresistance[K䞉mm2 /W]ࣘࢽࢵࢺࢭࣝෆ㒊ࢆୖ㒊࠿ࡽୗ㒊࡟⇕ࡀ㏻㐣ࡍࡿ᮲௳࡛᥋ゐ⇕᢬ᢠࢆ᳨ドࡋࡓ㸬సᡂࡋࡓࣘࢽࢵࢺࢭࣝࣔࢹࣝ࠿ࡽᚓࡽࢀࡓ᥋ゐ⇕᢬ᢠ࡜ᐇ㦂⤖ᯝࡢẚ㍑ࢆ㸪ᅗ 8 ࡟♧ࡍ㸬ࡇࡢ⤖ᯝ࠿ࡽศ࠿ࡿࡼ࠺࡟㸪ࣘࢽࢵࢺࢭࣝࣔࢹ࡛ࣝࡢゎᯒ⤖ᯝࡣ㸪ᐇ㦂⤖ᯝ࡜Ⰻ࠸୍⮴ࢆ♧ࡋ㸪ࣔࢹࣝࡢጇᙜᛶ
ࡀ☜ㄆ࡛ࡁࡿ㸬

40
30
20
10
0
0

Experiment

20

40
60
80
Contactpressure[kPa]100

Analysisᅗ 9 ┿ᐇ᥋ゐ㒊ࢆὶࢀࡿ⇕ὶࡢ๭ྜ
0

20

40

60

80

100

Contactpressure[kPa]ᅗ 8 ゎᯒ࡜ᐇ㦂⤖ᯝࡢẚ㍑
ᅗ 9 ࡟㸪ࣘࢽࢵࢺࢭࣝࣔࢹࣝ࡟࠾ࡅࡿ┿ᐇ᥋ゐ㒊ࢆὶࢀࡿ⇕ὶࡢ๭ྜࢆ♧ࡍ㸬ࡇࡢࢢࣛࣇ࡛ࡣ㸪ࣘࢽࢵࢺࢭࣝࣔࢹࣝ୰ࢆୖ㒊࠿ࡽୗ㒊࡟㏻㐣ࡍࡿ඲⇕ὶ࡟ᑐࡋ࡚㸪┿ᐇ᥋ゐ㒊ࢆὶࢀࡿ⇕ὶࡢ๭ྜࢆ♧ࡋ࡚࠸ࡿ㸬ࢢࣛࣇ࠿ࡽ᫂ࡽ࠿࡞ࡼ࠺࡟㸪᥋ゐᅽຊࡀ኱ࡁࡃ࡞ࡿ࡟ࡘࢀ࡚㸪┿ᐇ᥋ゐ㒊ࢆὶࢀࡿ⇕ὶࡢ๭ྜࡀ኱ࡁࡃ࡞ࡿࡇ࡜ࡀࢃ࠿ࡿ㸬ࡲࡓ㸪᥋ゐᅽຊࡀ኱ࡁ
ࡃ࡞ࡿ࡟ࡘࢀ࡚㸪┿ᐇ᥋ゐ㒊ࢆὶࢀࡿ⇕ὶࡢ๭ྜࡀ
㣬࿴ࡍࡿഴྥ࡟࠶ࡿࡇ࡜ࡀศ࠿ࡿ㸬┿ᐇ᥋ゐ㒊࡟ὶࢀࡿ⇕ὶࡢ๭ྜࡀ኱ࡁ࠸࡯࡝㸪⦰ὶࡢᙳ㡪ࡀ኱ࡁࡃ࡞ࡿ࡜⪃࠼ࡽࢀࡿࡓࡵ㸪⦰ὶ࡟ࡼࡿ⇕᢬ᢠࡣ㸪᥋ゐᅽຊࡀᑠࡉ࠸࡯࡝ᑠࡉࡃ㸪᥋ゐᅽຊࡀ኱ࡁࡃ࡞ࡿ࡟
ࡘࢀ࡚ቑ኱ࡋ㸪㣬࿴ࡍࡿഴྥ࡟࡞ࡿ࡜⪃࠼ࡽࢀࡿ㸬ᘧ 9 ࢆぢࡿ࡜㸪ᶲ࣭బ㔝ᕝࡢᘧ࡛ࡣ㸪᥋ゐ㠃࡟࠾ࡅࡿ⇕⦰ὶࡣ㸪ᮦᩱࡢ⇕ఏᑟ⋡ࡢࡳ࡟౫Ꮡࡍࡿᙧ࡟࡞
ࡗ࡚࠸ࡿ㸬ࡇࢀࡣ㸪ᶲ࣭బ㔝ᕝࡢᘧ࡛ࡣ㸪᥋ゐᅽຊࡀ኱ࡁ࠸ሙྜࢆࢱ࣮ࢤࢵࢺ࡜ࡋ࡚࠸ࡿࡓࡵ࡛࠶ࡾ㸪ᅗ 9 ᳨࡛ドࡋ࡚࠸ࡿ᥋ゐᅽຊࡼࡾࡶ኱ࡁ࡞᥋ゐᅽຊࡢ⠊ᅖ࡛㸪┿ᐇ᥋ゐ㒊ࢆὶࢀࡿ⇕ὶࡀ㣬࿴ࡍࡿഴྥ࡟࡞ࡿࡇ࡜࠿ࡽ㸪ྜ⌮ⓗ࡞ᘧ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿ㸬୍᪉࡛㸪㟁Ꮚᶵჾࢆᑐ㇟࡜ࡋࡓ᥋ゐᅽຊࡢ⠊ᅖ࡛ࡣ㸪
ᅗ 9 ࡟♧ࡍࡼ࠺࡟⇕⦰ὶࡢᙳ㡪ࡀ᥋ゐᅽຊ࡟౫Ꮡ
ࡍࡿᙧ࡟࡞ࡿࡓࡵ㸪ᘧ 9 ࡛⾲⌧ࡉࢀࡿ⇕⦰ὶ࡟ࡼࡿ
⇕᢬ᢠࡣ㸪⇕⦰ὶࡢᙳ㡪ࢆ㐣኱ホ౯ࡋ࡚ࡋࡲ࠺࡜⪃࠼ࡽࢀࡿ㸬ࡘࡲࡾ㸪㟁Ꮚᶵჾ࡟࠾ࡅࡿ᥋ゐᅽຊࡢ⠊ఏ⇕ 2020 ᖺ 1 ᭶-5-㸳㸬࠾ࢃࡾ࡟
ᮏ✏࡛ࡣ㸪㟁Ꮚᶵჾࡢ⇕⟶⌮࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠࡢၥ㢟Ⅼࢆ⤂௓ࡍࡿ࡜࡜ࡶ࡟㸪ᚑ᮶ᥦ᱌ࡉࢀ࡚࠸ࡿ᥋ゐ⇕᢬ᢠࡢண ᘧ࡛࠶ࡿᶲ࣭బ㔝ᕝࡢᘧࢆ⤂௓ࡋ㸪㟁Ꮚᶵჾ࡟࠾ࡅࡿ㐺⏝ྍ⬟ᛶࢆ㆟ㄽࡋࡓ㸬ᶲ࣭బ㔝ᕝࡢᘧࡣ㸪᥋ゐ㠃ࡢጇᙜ࡞ࣔࢹࣝ໬ࢆ⾜࠸㸪᥋ゐ㠃࡛ࡢ⇕᢬ᢠࢆ⌮ㄽⓗ࡟⪃៖ࡋ࡚ᘧࢆᵓ⠏ࡋ࡚࠸ࡿࡇ࡜࠿ࡽ㸪㠀ᖖ࡟ಙ㢗ᛶࡢ㧗࠸ᘧ࡛࠶ࡿ࡜ゝ࠼ࡿ㸬ࡘࡲࡾ㸪ᶲ࣭బ㔝ᕝࡢᘧࢆ࣮࣋ࢫ࡜ࡋ࡚㸪᥋ゐ⇕᢬
ᢠࡢ್ࢆ㆟ㄽࡍࡿࡇ࡜࡟␲ၥࡢవᆅࡣ࡞࠸㸬ࡇࡢࡇ࡜ࡣ㸪㟁Ꮚᶵჾࡢ᥋ゐᅽຊࡢ⠊ᅖ࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠࡢᐇ ⤖ᯝࡀ㸪ᶲ࣭బ㔝ᕝࡢᘧ࡜ྠࡌ࣮࢜ࢲ࣮ࡢ
್ࢆ♧ࡍࡇ࡜࠿ࡽࡶ⿬௜ࡅࡽࢀࡓ㸬㟁Ꮚᶵჾࡢ⇕⟶⌮࡟ᑐࡋ࡚㸪ᶲ࣭బ㔝ᕝࡢᘧࢆ㐺⏝ࡍࡿ㝿ࡢ၏୍ࡢၥ㢟Ⅼࡣ㸪᥋ゐᅽຊࡀᑠࡉ࠸ࡇ࡜࡟ࡼࡿ⇕⦰ὶࡢ⇕᢬ᢠࡢᙳ㡪࡛࠶ࡿ㸬ᮏ✏࡛ࡣ㸪ᩘ್ゎᯒࢆ⏝࠸࡚㸪⇕⦰ὶࡢᙳ㡪ࢆ⪃ᐹࡋࡓ⤖ᯝࡢ୍౛ࢆ⤂௓ࡋࡓ㸬ࡑࡢ⤖ᯝ㸪ᶲ࣭బ㔝ᕝࡢᘧࡀᑐ㇟࡜ࡋ࡚࠸ࡿ᥋ゐᅽຊࡢ⠊ᅖ࡛ࡣ㸪⇕⦰ὶ࡟ࡼࡿ⇕᢬ᢠࡀᮦᩱࡢ⇕ఏᑟ⋡ࡢࡳ࡟౫Ꮡࡍࡿࡇ࡜ࡀ♧၀ࡉࢀࡓ୍᪉࡛㸪㟁Ꮚᶵჾࡢ᥋ゐᅽຊࡢ⠊ᅖ࡛ࡣ㸪⇕⦰ὶ࡟ࡼࡿ⇕᢬ᢠࡀ᥋ゐᅽຊ࡟ࡶ౫Ꮡࡍࡿࡇ࡜ࡀ♧ࡉࢀࡓ㸬ࡇࡢࡇ࡜࠿ࡽ㸪ᶲ࣭బ㔝ᕝࡢᘧࡢ⇕⦰ὶࡢ㡯ࢆಟṇࡍࡿࡇ࡜࡟ࡼࡾ㸪ᶲ࣭బ㔝ᕝࡢᘧࢆ⏝࠸࡚㟁Ꮚᶵჾࡢ⇕⟶⌮࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠࢆ㧗࠸⢭ᗘ࡛ண ྍ⬟࡞ࡇ࡜ࡀ♧၀ࡉ
ࢀࡓ㸬




J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫
[5] బ㔝ᕝዲẕ㸪㔠ᒓ᥋ゐ㠃࡟࠾ࡅࡿఏ⇕࡟㛵ࡍࡿ◊✲ : ➨ 4 ሗ, ᥋ゐ㠃ࡢ⾲㠃࠶ࡽࡉࡢᙧ≧࣭࠺ࡡࡾࡢᙳ㡪࡜᥋ゐ⇕᢬ᢠࡢ㏆ఝィ⟬ἲ㸪᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟㸪1131-1137 (1967) 33-251.
[6] Tomimura, T. et al., Simple evaluation method fortemperature drop at contact interface between roughsurfaces under low contact pressure conditions, IOP
Conference Series: Materials Science andEngineering, 012040 (2014) 61.

ཧ⪃ᩥ⊩
[1] Holm, R., Electric Contacts, Springer (1999).
[2] ᪥ᮏᶵᲔᏛ఍㸪ఏ⇕ᕤᏛ㈨ᩱ ᨵゞ➨ 5 ∧㸪᪥ᮏᶵᲔᏛ఍㸦2009㸧.
[3] Tokuyama, T. et al., A Novel Direct Water andDouble-Sided Cooled Power Module for HEV/EV
Inverter, Proc. of ICEP2014, WA1-2 (2014).
[4] ᶲ⸨㞝㸪᥋ゐ㠃ࡢ⇕᢬ᢠ࡟㛵ࡍࡿ◊✲㸪᪥ᮏᶵᲔᏛ఍ㄅ㸪102-107 (1952) 55-397.

ఏ⇕ 2020 ᖺ 1 ᭶-6-

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≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫㠀ᐃᖖἲ࡟ࡼࡿ᥋ゐ⇕᢬ᢠࡢᐃ࡜ホ౯

Measurement and Evaluation of Thermal Contact Resistanceby Unsteady-State Methodྜྷ⏣ ⠜ṇ㸪ຍ㈡⏣ ⩧㸦኱㜰ᗓ❧኱Ꮫ㸧Atsumasa YOSHIDA, Kakeru KAGATA (Osaka Prefecture University)e-mail: ayoshida@me.osakafu-u.ac.jp㠃࡬ࡢ᥋ゐᮦᤄධࡢ᭷↓ࢆࣃ࣓࣮ࣛࢱ࡜ࡋࡓ ᐃࢆ⾜࡞࠸㸪ග㡢㡪ἲ࡟ࡼࡿ᥋ゐ⇕᢬ᢠࡢホ౯ࢆヨࡳࡓ㸬ࡲࡓᚑ᮶࠿ࡽ⏝࠸ࡽࢀࡿᐃᖖἲ࡛ࡶྠᵝࡢ᮲௳࡛ ᐃࢆ⾜࠸㸪ග㡢㡪ἲ࡟ࡼࡿ ᐃ⤖ᯝ࡜ࡢẚ㍑㸪ホ౯ࢆ⾜࡞ࡗࡓ㸬㸯㸬ࡣࡌࡵ࡟
୍⯡࡟ᅛయᮦᩱࡣ᥋ゐ㠃ࡢฝพ࡟ࡼࡾ᥋ゐ㠃ࡣ᏶඲࡟ᐦ╔ࡏࡎ㸪᥋ゐ⇕᢬ᢠࡀ⏕ࡌࡿ㸬᥋ゐ⇕᢬
ᢠ࡜ࡣ᥋ゐ㠃ࡢฝพ࡟ࡼࡿᐇ㉁ⓗ࡞᥋ゐ㠃✚ࡢῶᑡࡸ㸪㝽㛫࡟⇕ఏᑟ⋡ࡢప࠸✵Ẽࡀ௓ᅾࡍࡿࡇ࡜
࡟ࡼࡾ᥋ゐ㠃࡛⇕ࡢὶࢀࡀ㜼ᐖࡉࢀࡿ⌧㇟࡛࠶ࡿ㸬ࡇࢀࡲ࡛᥋ゐ㠃ࡢ⾲㠃⢒ࡉࡸ㸪᥋ゐᅽຊࡀ᥋ゐ⇕᢬ᢠ࡟୚࠼ࡿᙳ㡪ࡸ㸪᥋ゐ㠃㛫࡟㔠ᒓ⟩ࡸࣇ࢕࣮ࣛࢆᤄධࡋࡓሙྜࡢ᥋ゐ⇕᢬ᢠపῶࡢຠᯝ࡟㛵ࡍࡿ◊✲([1] - [9])࡞࡝ࡀ⾜࡞ࢃࢀ࡚࠸ࡿ㸬ࡑࢀࡽࡢ◊✲࠿ࡽ᥋ゐᅽຊࡀ㧗࠸࡯࡝㸪᥋ゐ㠃ࡀ⁥ࡽ࠿࡛࠶ࡿ࡯࡝᥋ゐ⇕᢬ᢠࡣప࠸ࡇ࡜ࡸ㸪ⷧࡃᰂࡽ࠿࠸᥋ゐᮦࢆ᥋ゐ㠃࡟ᣳࡴ࡜㸪᥋ゐ⇕᢬ᢠࡣపῶࡉ
ࢀࡿࡇ࡜࡞࡝㸪ᐃᛶⓗ࡞㒊ศࡣ᫂ࡽ࠿࡜࡞ࡗ࡚࠸
ࡿ㸬ࡲࡓ⾲㠃⢒ࡉ㸪᥋ゐᅽຊ㸪◳ᗘ࡞࡝࠿ࡽ᥋ゐ⇕᢬ᢠࢆ᥎ᐃࡍࡿᐇ㦂ᘧࡶከࡃᥦ᱌ࡉࢀ࡚࠸ࡿ㸬ࡋ࠿ࡋ㸪᥋ゐ⇕᢬ᢠࡣ⌧㇟ࡀᩘከࡃࡢᅉᏊ࡟ᨭ㓄
ࡉࢀࡿⅭ㸪ࡑࡢ᫬࡝ࡁࡢ᥋ゐ≧ែ࡟኱ࡁࡃᕥྑࡉ
ࢀࡿ㸬ᐇ㝿ࡢ᥋ゐ≧ἣࢆᩘ್ⓗ࡟ṇ☜࡟ᢕᥱࡍࡿ
ࡇ࡜ࡣᐜ࡛᫆ࡣ࡞ࡃ㸪࠶ࡿᐇ㦂⤖ᯝࡀࡑࡢࡲࡲ௚
ࡢሙྜ࡟㐺⏝࡛ࡁࡿ࡜ࡣ㝈ࡽ࡞࠸㸬ࡋࡓࡀࡗ࡚᥋
ゐ⇕᢬ᢠࢆ᥎ᐃࡍࡿᐇ㦂ᘧࡀᐇ㝿ࡢタィ࡟౑⏝࡛ࡁࡿࡇ࡜ࡣከࡃ࡞࠸㸬ࡇࢀࡲ࡛᥋ゐ⇕᢬ᢠࡢ ᐃ࡟ࡣ㸪ఏ⇕ᐇ㦂࡛ᐃᖖ≧ែ࡟࠾ࡅࡿ ᗘ໙㓄ࢆ ᐃࡍࡿᐃᖖἲࡀከࡃ
⏝࠸ࡽࢀ࡚ࡁࡓ㸬ࡋ࠿ࡋᐃᖖἲ࡟ࡼࡿ ᐃࡣヨᩱෆࡢ ᗘࡀ୍ᐃ࡟࡞ࡿࡲ࡛㛗࠸᫬㛫ࢆせࡍࡿୖ㸪ᗘࢆ ᐃࡍࡿࡓࡵ࡟⇕㟁ᑐ࡞࡝ࡢࢭࣥࢧࢆヨᩱ࡟┤᥋᥋ゐࡉࡏࡿᚲせࡀ࠶ࡾ㸪౛࠼ࡤࢭࣥࢧࢆྲྀ
ࡾࡘࡅࡽࢀ࡞࠸ࡼ࠺࡞ᚤᑠ࡞ࢧ࢖ࢬࡢヨᩱ࡟ᑐࡋ࡚ࡢ ᐃࡣᅔ㞴࡛࠶ࡿ㸬㏆ᖺ㸪ᚑ᮶ࡢᐃᖖἲ௨እ
ࡢ᪉ἲ࡟ࡼࡿ᥋ゐ⇕᢬ᢠࡢホ౯ࡶヨࡳࡽࢀ࡚࠸ࡿ
([10] - [13])㸬
ᮏሗ࡛ࡣග㡢㡪ἲࢆ⏝࠸ࡓ᥋ゐ⇕᢬ᢠࡢ ᐃ࡟ࡘ࠸᳨࡚ウࢆ⾜࡞࠺㸬஧ࡘࡢ㔠ᒓࢆ᥋ゐࡉࡏࡓヨᩱ࡟ᑐࡋ࡚㸪᥋ゐᅽຊ㸪᥋ゐ㠃ࡢ⾲㠃⢒ࡉ㸪᥋ゐఏ⇕ 2020 ᖺ 1 ᭶㸰㸬᥋ゐ⇕᢬ᢠࢆ⪃៖ࡋࡓ ᐃ⌮ㄽᅛయヨᩱ࡟㛵ࡍࡿග㡢㡪ἲࡢ ᐃ⌮ㄽࡣ RG⌮ㄽ࡜࿧ࡤࢀ㸪Rosencwaig and Gersho[14]࡟ࡼࡾᐃ
ᘧ໬ࡉࢀ࡚࠸ࡿ㸬RG ⌮ㄽࡣ㸪ᅗ 1 ࡟♧ࡍẼయ(g)࣭
ヨᩱ(s)࣭ᇶ┙(b)ࡢ୕ࡘࡢᒙ࠿ࡽᡂࡿࣔࢹࣝࢆ⏝࠸࡚㸪ྛᒙ࡟࠾ࡅࡿ୍ḟඖ⇕ఏᑟ᪉⛬ᘧࢆ⪃࠼࡚࠸ࡿ㸬Sample-(ls+lb)lg-lsᅗ 1 ග㡢㡪ἲ஧ᒙᮦᩱ

ᐃࣔࢹࣝ

᪤㏙ࡢ RG ⌮ㄽ࡛ࡣ㸪ヨᩱ࡜ᇶ┙࡜ࡢቃ⏺㠃࡛ᗘࡣ㐃⥆࡛࠶ࡿࡀ㸪᥋ゐ⇕᢬ᢠࡀᏑᅾࡍࡿሙྜ
ࡣᅗ 2 ࡢࡼ࠺࡟ቃ⏺㠃࡟࠾࠸࡚ぢ࠿ࡅୖ㸪 ᗘࡣ୙㐃⥆࡜࡞ࡿ㸬᥋ゐ⇕᢬ᢠ R [m2K/W]ࡣ᥋ゐ㠃࡟⏕ࡌࡿぢ࠿ࡅࡢ ᗘᕪԥT[K]࡜᥋ゐ㠃ࢆ㏻ࡿ⇕ὶ
᮰ qc [W/ m2]ࢆ⏝࠸࡚ḟࡢࡼ࠺࡟ᐃ⩏ࡉࢀࡿ㸬

R㸻

'T
qc

[m2K/W]     (1)ࡇࡇ࡛᥋ゐ⇕᢬ᢠࢆ⪃៖ࡋࡓග㡢㡪ἲ ᐃࣔࢹࣝࢆ⪃࠼ࡿ㸬ᅗ 1 ࡢ 2 ᒙࣔࢹࣝ࡟࠾࠸࡚ 1 ᒙ┠࡜ 2-7-

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫Ἴᩘ࡟౫Ꮡࡏࡎ 45r୍ᐃ࡜࡞ࡿ㸬ࡘࡲࡾྠࡌᮦ㉁ࡢᅛయྠኈࢆ᥋ゐࡉࡏࡓヨᩱ࡟࠾࠸࡚㸪᥋ゐ㠃࡟
᥋ゐ⇕᢬ᢠࡀᏑᅾࡋ࡞ࡅࢀࡤ㸪ࡑࢀࡣ⇕ⓗ࡟ཌ࠸༢୍ࡢᮦᩱ࡜ྠࡌ࡛࠶ࡾ㸪఩┦㐜ࢀࡣ 45r୍ᐃ࡜࡞ࡿ㸬ࡑࡋ࡚᥋ゐ⇕᢬ᢠࡀᏑᅾࡍࡿሙྜࡶ᥋ゐ⇕᢬ᢠࡀᑠࡉ࠸࡯࡝㸪ࡑࡢ⇕ⓗᛶ㉁ࡣ༢୍ࡢᮦᩱ࡟
㏆ࡃ࡞ࡿࡓࡵ఩┦㐜ࢀࡣ 45r࡟㏆࡙ࡃ㸬

120
110
ᗘศᕸ

100
Phase lag [degree]ᅗ 2 ᥋ゐ㠃㏆ഐࡢᒙ┠ࡢ㛫࡟᥋ゐ⇕᢬ᢠࡀᏑᅾࡍࡿሙྜࢆ⪃࠼ࡿ㸬୧⪅ࡢ ᗘቃ⏺᮲௳ࡣ᥋ゐ⇕᢬ᢠࡢᐃ⩏࡟ᚑࡗ࡚ḟࡢࡼ࠺࡟⾲ࢃࡉࢀࡿ㸬ܶ‫ ݏ‬െ݈‫ ݏ‬, ‫ ݐ‬െ ܾܶ െ݈‫ ݏ‬, ‫ ݐ‬ൌ ܴܾ߲ܾ݇ܶെ݈‫ ݏ‬, ‫ ݐ‬䚷ሺ2ሻ߲‫ݔ‬ࡇࡇ࡛㸪k ࡣ⇕ఏᑟ⋡ࢆ⾲ࡍ㸬ࡇࡢ㛵ಀࢆ 1 ᒙ┠
࡜ 2 ᒙ┠ࡢ㛫ࡢቃ⏺᮲௳࡜ࡋ࡚ྛᒙࡢ⇕ఏᑟ᪉⛬ᘧࢆゎࡁ㸪ග㡢㡪ಙྕࢆᑟࡃ࡜㸪ග㡢㡪ಙྕࡢ఩┦㐜ࢀȭ ࡣ᥋ゐ⇕᢬ᢠ R ࢆኚᩘ࡟ྵࡴ㛵ᩘ࡜ࡋ࡚⾲ࢃࡉࢀࡿ㸬

M

[

Ds

ࠉࠉb

kb D s
ks Db

ࠉ

70
60

40

100

101
102
103
104
Modulation frequency [Hz]ᅗ 3 ᥋ゐ⇕᢬ᢠ࡜఩┦㐜ࢀࡢ㛵ಀ

 
(4)

ࡇࡇ࡛㸪Șࡣ⇕ᣑᩓ⋡ࢆ⾲ࡍ㸬b ࡣヨᩱ࡜ᇶ┙ࡢ⇕ᾐ㏱⋡ࡢẚࢆព࿡ࡍࡿ㸬㸱㸬 ᐃ⌮ㄽ࡟ᇶ࡙࠸ࡓィ⟬๓❶ࡢ᥋ゐ⇕᢬ᢠࢆ⪃៖ࡋࡓ⌮ㄽࣔࢹࣝ࡟ᇶ࡙
࠸࡚ኚㄪ࿘Ἴᩘ࡟ᑐࡍࡿග㡢㡪ಙྕࡢ఩┦㐜ࢀࢆィ⟬ࡋ㸪᥋ゐ⇕᢬ᢠࡀ఩┦㐜ࢀ࡟୚࠼ࡿᙳ㡪ࢆㄪ࡭ࡓ㸬୍ᒙ┠ࡣཌࡉ 50 ȝm ࡢ Ti ࡢⷧᯈ㸪஧ᒙ┠ࡣTi ࡢࣂࣝࢡヨᩱ࡜ࡋ㸪 ᥋ゐ⇕᢬ᢠ R ࢆ✀ࠎኚ໬ࡉࡏ࡚఩┦㐜ࢀࢆィ⟬ࡋࡓ㸬ィ⟬࡟㝿ࡋ࡚ Ti ࡢ⇕≀ᛶ್ࡣᩥ⊩[15]ࡢ್ࢆ⏝࠸ࡓ㸬ィ⟬⤖ᯝࢆᅗ 3 ࡟♧ࡍ㸬᥋ゐ⇕᢬ᢠࡀᑠࡉ࠸࡯
࡝఩┦㐜ࢀࡢࣆ࣮ࢡ್ࡀᑠࡉࡃ࡞ࡿࡇ࡜ࡀศ࠿ࡿ㸬྾ගಀᩘࢆ K㸪⇕ᣑᩓ㛗ࢆȣ࡜ࡍࡿ࡜㸪ගᏛⓗ࡟
୙㏱࡛᫂⇕ⓗ࡟ཌ࠸ヨᩱ(lsӍ1/K㸪lsӍȝs )࠿ࡽᚓࡽ
ࢀࡿග㡢㡪ಙྕࡢ఩┦㐜ࢀࡣ㸪⇕≀ᛶ್㸪ኚㄪ࿘ఏ⇕ 2020 ᖺ 1 ᭶

8050( f : [ , b, R )    (3)ls

90

R[m2K/W]
1.0x10-3
8.0x10-4
6.0x10-4
4.0x10-4
2.0x10-4
0-8-㸲㸬ᐇ㦂᪉ἲ࠾ࡼࡧヨᩱග㡢㡪ἲ࡛᥋ゐ⇕᢬ᢠࡢ ᐃࢆヨࡳࡿ࡜ඹ࡟㸪ࡑࡢ ᐃ⤖ᯝࡢ᳨ド㸪ホ౯ࡢࡓࡵᚑ᮶࠿ࡽ᥋ゐ⇕᢬ᢠࡢホ౯࡟⏝࠸ࡽࢀࡿᐃᖖἲ࡛ࡶྠᵝࡢ ᐃࢆ⾜࡞ࡗࡓ㸬࡝ࡕࡽࡢ ᐃ࡟࠾࠸࡚ࡶ᥋ゐ⇕᢬ᢠ࡟ᙳ㡪ࡍࡿせᅉ࡛࠶ࡿ᥋ゐ㠃ࡢ⾲㠃⢒ࡉ㸪᥋ゐᅽຊ㸪᥋ゐᮦࡢ᭷↓ࢆࣃ࣓࣮ࣛࢱ࡜ࡋ㸪ྛせᅉࡀ᥋ゐ⇕᢬ᢠ࡟୚࠼ࡿᙳ㡪ࢆㄪ࡭ࡓ㸬࠸ࡎࢀࡢ ᐃ࡟࠾࠸࡚ࡶヨᩱ࡜ࡋ࡚ 2 ࡘࡢ Ti ࢆ᥋ゐࡉࡏࡓࡶࡢࢆ⏝࠸ࡓ㸬 ᐃ⿦⨨ࡣᩥ⊩[16]ࢆཧ↷ࡋ࡚ୗࡉ࠸㸬ୗグ 2 ࡘࡢᮦᩱ㸦A㸪B㸧ࢆ᥋ゐࡉࡏࡓࡶࡢࢆヨᩱ࡜ࡋග㡢㡪ಙྕࡢ఩┦㐜ࢀࢆ ᐃࡋࡓ㸬A.ⷧᯈ㸦Ti㸪┤ᚄ 12 mm㸪ཌࡉ 0.050 mm㸧
B.ࣂࣝࢡᮦ㸦Ti, ┤ᚄ 12 mm㸪ཌࡉ 13 mm㸧᥋ゐ㠃ࡢ⾲㠃⢒ࡉࡢᙳ㡪ࢆㄪ࡭ࡿⅭ࡟୕✀㢮ࡢ⾲㠃⢒ࡉࢆᣢࡘࣂࣝࢡᮦࢆ‽ഛࡋࡓ㸬᥋ゐࡍࡿ➃㠃ࢆࡑࢀࡒࢀ#120㸪#220㸪#1000 ࡢ◒▼࡛☻ࡁ㸪⾲㠃⢒ࡉ࡟ᕪࢆᣢࡓࡏ࡚࠸ࡿ㸬ⷧᯈ࡜ྛࣂࣝࢡᮦ
ࡢ⾲㠃⢒ࡉࢆ⾲ 1 ࡟♧ࡍ㸬⾲㠃⢒ࡉࡣ㍯㒌ᙧ≧J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫⾲ 1 ྛヨᩱࡢ⾲㠃⢒ࡉ ග㡢㡪ἲ

ᐃヨᩱ 

A
(Plate)B-1(Bulk)

B-2(Bulk)

B-3(Bulk)Ra [ȝm]

0.080

1.141

0.979

0.205

⾲ 2 ྛヨᩱࡢ⾲㠃⢒ࡉ㸦ᐃᖖἲRt [ȝm]

0.627

7.603

6.535

1.530

Sample1

Sample2-a

Sample2-b

Rmax [ȝm]0.811

13.053

8.196

1.995

Ra [ȝm]

0.106

0.505

0.110

Rt [ȝm]

0.935

3.346

0.910

Rmax [ȝm]

1.264

4.558

1.151

ࣥࢻ࣮࣌ࣃ࣮㸦#120,#2000㸧ࢆ౑⏝ࡋ࡚⾲㠃ࢆ☻࠸ࡓ㸬⾲㠃⢒ࡉࡢ ᐃ⤖ᯝࢆ⾲ 2 ࡟♧ࡍ㸬ᐃᶵ㸦࣑ࢶࢺࣚ〇 CS-5000㸧࡛ ᐃࡋࡓ㸬࡞࠾᥋ゐ≧ែࡢ෌⌧ᛶࢆᚓࡿⅭ࡟ⷧᯈࡣᖖ࡟ྠࡌࡶࡢࢆ౑⏝ࡋࡓ㸬
ࡇࢀࡽ 3 ✀㢮ࡢ⢒ࡉࡢヨᩱ࡟ࡘ࠸࡚㸪ࡑࢀࡒࢀ᥋ゐᅽຊࢆ 0.16㹼7.0 MPa ࡢ⠊ᅖ࡛ኚ໬ࡉࡏ࡚ග
㡢㡪ಙྕࡢ ᐃࢆ⾜࡞ࡗࡓ㸬ࡲࡓ᥋ゐ⇕᢬ᢠࢆపῶࡉࡏࡿຠᯝࡢ࠶ࡿࢩ࣮ࢺ≧ࡢ᥋ゐᮦ㸦ࢩࣜࢥࣥᮦᩱ㸧ࢆ᥋ゐ㠃࡟ᣳࢇࡔሙྜ࡟ࡘ࠸࡚ࡶ ᐃࢆ⾜࡞࠸㸪ࡑࡢຠᯝࢆㄪ࡭ࡓ㸬୍ᅇࡢ ᐃ࡟せࡍࡿ᫬㛫ࡣ࠾ࡼࡑ 5 ศ㛫࡛࠶ࡿ㸬࡞࠾ ᐃ࡟⏝࠸ࡓ Tiࡢ⪏ຊࡣ୍⯡ⓗ࡟ 200 MPa ⛬ᗘ࡛࠶ࡾ㸪ᮏ ᐃ࡟࠾ࡅࡿ᥋ゐᅽຊ࡟ࡼࡿᮦᩱࡢኚᙧࡣᙎᛶ㡿ᇦෆ࡛࠶ࡿ㸬ᐃᖖἲ࡛ࡣ㸪ヨᩱ࡟ࡣ┤ᚄ 40[mm]㸪㛗ࡉ 45[mm]ࡢ Ti ࡢ෇ᰕ 2 ࡘࢆ᥋ゐࡉࡏࡓࡶࡢࢆ⏝࠸ࡓ㸬ຍ⇕ഃࡢヨᩱ㸦Sample2㸧ࡢ➃㠃࡟ࢩࣜࢥࣥࣛࣂ࣮ࣄ࣮
ࢱ࣮㸦┤ᚄ 40[mm]㸧ࢆᐦ╔ࡉࡏ࡚ຍ⇕ࡋ㸪෭༷ഃࡢヨᩱ㸦Sample1㸧ࢆࢧ࣮ࣔࣔࢪ࣮ࣗࣝ㸦࣌ࣝࢳ࢙⣲Ꮚ㸪40[mm]×40[mm]㸧࡛෭༷ࡋヨᩱ㛗ᡭ᪉ྥ࡟ᗘ໙㓄ࢆ⏕ࡌࡉࡏࡓ㸬ࢧ࣮ࣔࣔࢪ࣮ࣗࣝ࡟ࡣᨺ
⇕ࡢࡓࡵ࡟࢔࣑ࣝ〇ࡢࣄ࣮ࢺࢩࣥࢡࢆタ⨨ࡋ㸪ࡑࡇ࡬෭༷⏝ࣇ࢓࡛ࣥ㢼ࢆ㏦ࡾ෭༷ࡋࡓ㸬ヨᩱࡢഃ㠃ࡣ᩿⇕ࡢࡓࡵⓎἻࢫࢳ࣮࡛ࣟࣝそࡗࡓ㸬ྛヨᩱ࡟ࡣ᥋ゐ㠃࠿ࡽ 8㸪16㸪24㸪32㸪40[mm]ࡢ఩⨨࡟┤ᚄ 0.6[mm] ῝ࡉ 10[mm]ࡢ ᗘ ᐃ⏝ࡢ✰ࢆタࡅ㸪ࡑࡇ࡬┤ᚄ⣙ 0.6[mm]ࡢ T ᆺ⇕㟁ᑐࢆᤄධࡋ࡚ ᗘࢆ ᐃࡋࡓ㸬✰ࡀ⇕ఏᑟ࡟୚࠼ࡿ
ᙳ㡪ࢆᑠࡉࡃࡍࡿࡓࡵ࡟㸪ྛ✰ࡣ෇࿘᪉ྥ࡟ 60°ࡎࡘࡎࡽࡋࡓ఩⨨࡟タࡅࡓ㸬᥋ゐᅽຊࡣᢲࡋ௜ࡅ
ࡡࡌ㸦M8㸧1 ᮏࢆ⥾ࡵ௜ࡅࡿࡇ࡜࡟ࡼࡗ࡚ᚓࡽࢀ㸪ᢲࡋ௜ࡅࡡࡌ࡜ Sample2 ࡜ࡢ㛫࡟タ⨨ࡋࡓᑠᆺࣟ
࣮ࢻࢭࣝ࡟ࡼࡾ᥋ゐⲴ㔜ࢆ ᐃࡋࡓ㸬
10 ศ㛫࠶ࡓࡾࡢ ᗘኚືࡀ 0.1[K]௨ୗ࡜࡞ࡗࡓ
≧ែࢆᐃᖖ≧ែ࡜ࡋ࡚ࡑࡢ᫬ࡢྛ ᐃⅬ࡟࠾ࡅࡿᗘࢆ ᐃࡋࡓ㸬1 ᮲௳࡟ࡘࡁ࠾ࡼࡑ 1 ᫬㛫ࡢᐃ᫬㛫ࢆせࡋࡓ㸬⾲㠃⢒ࡉࡢ␗࡞ࡿ 2 ✀㢮ࡢヨᩱࢆ⏝࠸ࡓ㸬ࡑࢀࡒࢀ⢒ࡉࡢ␗࡞ࡿ 2 ✀㢮ࡢ‵ᘧࢧఏ⇕ 2020 ᖺ 1 ᭶ᐃヨᩱ㸧㸳㸬 ᐃ⤖ᯝ࠾ࡼࡧ⪃ᐹᐃᖖἲ࡟ࡼࡿ ᐃ⤖ᯝࡢ౛ࢆᅗ 4 ࡟♧ࡍ㸬ᐇ⥺ࡣ ᐃ್ࡢ୍ḟᘧ࡟ࡼࡿ᭱ᑠ஧஌㏆ఝ࡛࠶ࡿ㸬ࡇࡢᐇ⥺ࡼࡾ᥋ゐ㠃࡟࠾ࡅࡿ ᗘᕪԥT [K]ࢆồࡵ㸪ᐇ⥺ࡢ໙㓄࡜ Ti ࡢ⇕ఏᑟ⋡[15]࡜ࢆ⏝࠸࡚ᖹᆒ⇕ὶ᮰ qc[W/m2]ࢆ⟬ฟࡋ㸪᥋ゐ⇕᢬ᢠࡢᐃ⩏ᘧ(1)࡟ᚑࡗ࡚᥋ゐ⇕᢬ᢠ R [m2K/W]ࢆ⟬ฟࡋࡓ㸬45

2-a 0.028 MPa

40

7>Υ@

35
30
25
20

'7 >.@
qc=3380[W/m2]
R=6.48x10-4[m2K/W]

150 10 20 30 40 50 60 70 80 90
Distance [mm]

ᅗ 4 ᐃᖖἲ࡟ࡼࡿ

ᗘศᕸ

ᐃ౛

ྛ᮲௳࡟࠾࠸࡚ồࡵࡓ᥋ゐ⇕᢬ᢠ್ࢆᅗ 5 ࡟♧ࡍ㸬ྛ್ࡣྠ᮲௳࡟࡚ 2㹼3 ᅇࡢ ᐃ࠿ࡽᚓࡽࢀࡓ
್ࡢᖹᆒ್࡛࠶ࡿ㸬⾲㠃⢒ࡉࡢ㐪࠸࡟ࡼࡿ᥋ゐ⇕᢬ᢠࡢᕪࢆぢࡿ࡜㸪⾲㠃ࡀ⁥ࡽ࠿࡞ヨᩱ 2-b ࡢ᪉ࡀ㸪⾲㠃ࡀ⢒࠸ 2-a ࡟ẚ࡭࡚᥋ゐ⇕᢬ᢠࡀప࠸ࡇ
࡜ࡀศ࠿ࡿ㸬᥋ゐᅽຊࡢ㐪࠸࡟ࡼࡿᕪࢆぢࡿ࡜㸪⾲㠃ࡀ⢒࠸ヨᩱ 2-a ࡟࠾࠸࡚ᅽຊࡀ㧗࠸㡿ᇦ࡛ᅽຊࡢቑຍ࡟కࡗ࡚᥋ゐ⇕᢬ᢠࡣపୗࡍࡿഴྥࡀぢࡽࢀࡿ㸬୍᪉㸪⾲㠃ࡀ⁥ࡽ࠿࡞ヨᩱ 2-b ࡣᅽຊ࡟ࡼࡿኚ໬ࡀぢࡽࢀ࡞࠸㸬ࡇࢀࡣヨᩱ 2-b ࡣ⾲㠃ࡀ⁥ࡽ࠿࡛࠶ࡾ᥋ゐ㠃ࡢฝพࡀᑠࡉ࠸ࡓࡵ㸪᥋ゐᅽ-9-J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫ຊࡀኚ໬ࡋ࡚ࡶ᥋ゐ㠃✚ࡢኚ໬ࡀᑠࡉ࠸Ⅽ࡜⪃࠼ࡽࢀࡿ㸬࡝ࡕࡽࡢヨᩱ࡟࠾࠸࡚ࡶ᥋ゐᮦࢆᤄධࡋ
ࡓሙྜ㸪᥋ゐ⇕᢬ᢠࡣపࡃ࡞ࡾ㸪᥋ゐᮦ࡟ࡼࡿ᥋
ゐ⇕᢬ᢠࡢపῶຠᯝࡀ☜ㄆࡉࢀࡓ㸬௒ ᅇ ᐃ ࡉ ࢀ ࡓ ᥋ ゐ ⇕ ᢬ ᢠ ࡣ 10-4 㹼 10-3
[m2K/W]ࡢ⠊ᅖ࡛࠶ࡗࡓ㸬᥋ゐ⇕᢬ᢠ࡟㛵ࡍࡿ௚ࡢ◊✲ሗ࿌ࢆぢࡿ࡜ヨᩱ࡟㯤㖡ࢆ⏝࠸ࡓሙྜ࡛ࡣ
࠶ࡿࡀ㸪᥋ゐ㠃ࡢ୰ᚰ⥺ᖹᆒ⢒ࡉࡀ 1.0 [ȝm]⛬ᗘ
࡛᥋ゐᅽຊ 0.1㹼1.0[MPa]ࡢ᫬㸪᥋ゐ⇕᢬ᢠࡣ
4×10-4㹼6×10-4[m2K/W]࡛࠶ࡿ࡜࠸࠺ᐇ㦂⤖ᯝࡀሗ࿌ࡉࢀ࡚࠸ࡿ[8]㸬௒ᅇࡢ ᐃ࡛ᚓࡽࢀࡓ್ࡣࡑࢀ
ࡽ࡜ྠࡌ࣮࢜ࢲ࣮࡛࠶ࡾ㸪௒ᅇࡢ ᐃ࡟ࡼࡗ࡚ᚓ
ࡽࢀࡓ᥋ゐ⇕᢬ᢠ್ࡣጇᙜ࡞್࡛࠶ࡿ࡜ゝ࠼ࡿ㸬

Phase lag [deg]








2-a
2-b
2-a(Sheet)
2-b(Sheet)

4
2

B-2




0.16MPa
0.32MPa
1.0MPa3.0MPa7.0MPa




0.1
0.2
0.3
Contact preassure[MPa]ᅗ 5 ᐃᖖἲ࡟ࡼࡿ᥋ゐ⇕᢬ᢠ









Modulation frequency [Hz]

ᐃ⤖ᯝ

B-3


ග㡢㡪ἲ࡟ࡼࡿ᥋ゐ⇕᢬ᢠ࡟㛵ࡍࡿ ᐃ⤖ᯝࢆ
ᅗ 6 ࡟♧ࡍ㸬⢒ࡉࡢ␗࡞ࡿྛヨᩱ࡟ࡘ࠸࡚㸪ࡑࢀ
ࡒࢀ᥋ゐᅽຊࢆኚ໬ࡉࡏ࡚ ᐃࡋࡓග㡢㡪ಙྕࡢ఩┦㐜ࢀ࡛࠶ࡿ㸬࠸ࡎࢀࡢヨᩱ࡟࠾࠸࡚ࡶ᥋ゐᅽຊࡀ㧗࠸࡯࡝㸪఩┦㐜ࢀࡢࣆ࣮ࢡ್ࡀపࡃ࡞ࡿഴྥࡀぢࡽࢀࡿ㸬ྛ ᐃ⤖ᯝ࠿ࡽ఩┦㐜ࢀࡢࣆ࣮ࢡ್ࡢࡳࢆᢤ⢋ࡋࡓ⤖ᯝࢆᅗ 7 ࡟♧ࡍ㸬᥋ゐᅽຊࡀ㧗࠸࡯࡝఩┦㐜ࢀࡢࣆ࣮ࢡ್ࡀప࠸஦ࡀศ࠿ࡿ㸬ࡲࡓ⾲㠃⢒ࡉ࡟ࡘ࠸࡚ࡣ㸪⾲㠃ࡀ⁥ࡽ࠿࡞ヨᩱ࡯࡝఩┦㐜ࢀࡢࣆ࣮ࢡ್ࡀప࠸ഴྥࡀぢࡽࢀࡿ㸬᥋ゐ㠃ࡢ⾲㠃ࡀ⁥ࡽ࠿࡛࠶ࡿ࡯࡝㸪ࡲࡓ᥋ゐᅽຊࡀ㧗࠸࡯࡝㸪᥋ゐ⇕᢬ᢠࡣపࡃ࡞ࡿ㸬ࡑࢀࡽ᥋ゐ⇕᢬ᢠࡢኚ໬ࡢഴྥ࡜ග㡢㡪ἲ࡟ࡼࡾ ᐃࡉࢀఏ⇕ 2020 ᖺ 1 ᭶





6

0





Phase lag [deg]Thermal contact resistanceModulation frequency [Hz]800.16MPa
0.32MPa
1.0MPa3.0MPa7.0MPax10-4 [m2K/W]
12
10

B-1



Phase lag [deg]





0.16MPa
0.32MPa
1.0MPa3.0MPa7.0MPa











Modulation frequency [Hz]ᅗ 6 ᥋ゐᅽຊ࡜఩┦㐜ࢀ㸦ヨᩱ B-1, B-2, B-3㸧- 10 -J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫ᙳ㡪࡟ࡼࡿ᥋ゐ⇕᢬ᢠࡢኚ໬࡟క࠸㸪ග㡢㡪ಙྕࡢ఩┦㐜ࢀࡢࣆ࣮ࢡࡶྠᵝ࡟ኚ໬ࡍࡿ஦ࡀ☜ㄆࡉࢀࡓ㸬ࡇࢀࡣ 3 ❶࡛᪤㏙ࡋࡓ⌮ㄽ್ࡢഴྥ࡜ࡶ୍
⮴ࡍࡿ㸬௨ୖࡢ஦࠿ࡽග㡢㡪ಙྕࡢ఩┦㐜ࢀࡢ㸪≉࡟ࣆ࣮ࢡ್ࡢ኱ᑠࢆẚ㍑ࡍࡿࡇ࡜࡛᥋ゐ⇕᢬ᢠࡢኚ໬ࢆᤊ࠼ࡿࡇ࡜ࡀྍ⬟࡛࠶ࡿ࡜ゝ࠼ࡿ㸬

B-1
B-2
B-3

90

85

90

80

0

2

4

6

Phase lag [deg]808Contact pressure[MPa]ᅗ 7 ఩┦㐜ࢀࡢࣆ࣮ࢡ್ࡢẚ㍑
ࡓ఩┦㐜ࢀࡢࣆ࣮ࢡ್ࡢኚ໬ࡢഴྥࡣ୍⮴ࡋ࡚࠸ࡿ㸬ࡶ࠺ᑡࡋヲࡋࡃྛ ᐃ⤖ᯝࢆぢࡳࡿ࡜㸪B-3 ࡢヨᩱࡢ఩┦㐜ࢀࡣ B-1㸪B-2 ࡢሙྜ࡟ẚ࡭࡚≉࡟ᑠࡉ࠸㸬ࡑࢀࡒࢀࡢヨᩱࡢ⾲㠃⢒ࡉ㸦⾲ 1㸧ࢆẚ࡭ࡿ࡜㸪B-1 ࡢ Ra 1.141 ȣm㸪B-2 ࡢ Ra 0.979 ȣm࡜ẚ࡭࡚ B-3 ࡢヨᩱࡢ⾲㠃⢒ࡉࡣ Ra 0.205 ȣm ࡛࠶ࡾ௚࡜ẚ࡭࡚≉࡟⁥ࡽ࠿࡞㠃࡛࠶ࡿࡇ࡜ࡀศ࠿
ࡿ㸬ࡋࡓࡀࡗ࡚ B-3 ࡢ఩┦㐜ࢀࡀ௚ࡢヨᩱ࡜ẚ࡭࡚≉࡟ᑠࡉ࠸ࡢࡣ㸪⾲㠃ࡀ≉࡟⁥ࡽ࠿࡛࠶ࡿࡓࡵ᥋ゐ⇕᢬ᢠࡀᑠࡉ࠸࠿ࡽ࡛࠶ࡿ࡜ゝ࠼ࡿ㸬ࡲࡓ
B-3 ࡢヨᩱࡣ௚ࡢ஧ࡘࡢሙྜ࡜ẚ࡭࡚᥋ゐᅽຊࢆኚ໬ࡉࡏࡓ㝿ࡢ఩┦㐜ࢀࡢኚ໬ࡀᑠࡉ࠸㸬ࡇࢀࡶ⾲㠃ࡀ⁥ࡽ࠿࡛࠶ࡿࡓࡵ᥋ゐ㠃ࡢฝพࡀᑠࡉࡃ㸪᥋ゐᅽຊࢆቑࡋ࡚ࡶ᥋ゐ㠃✚ࡢኚ໬ࡀᑠࡉ࠸Ⅽ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿ㸬ࡇࢀࡣᐃᖖἲ࡟ࡼࡿ᥋ゐ⇕᢬ᢠࡢ ᐃ⤖ᯝ࡟࠾࠸࡚ぢࡽࢀࡓഴྥ࡜୍⮴ࡍࡿ㸬᥋ゐ㠃࡟᥋ゐᮦࢆᤄධࡋࡓሙྜࡢ఩┦㐜ࢀࡢᐃ⤖ᯝࢆᅗ 8 ࡟♧ࡍ㸬┤᥋᥋ゐࡉࡏࡓሙྜ㸦ᅗ 6㸧
࡜ẚ࡭ࡿ࡜఩┦㐜ࢀࡢࣆ࣮ࢡ್ࡀప࠸㸬ࡇࡇ࡛⏝࠸ࡓ᥋ゐᮦ࡟ࡼࡿ᥋ゐ⇕᢬ᢠࡢపῶຠᯝࡣᐃᖖἲ࡟ࡼࡿ ᐃ࠿ࡽ☜ㄆࡉࢀ࡚࠾ࡾ㸪ග㡢㡪ἲ࡟ࡼࡗ࡚᥋ゐᮦ࡟ࡼࡿ᥋ゐ⇕᢬ᢠࡢపῶຠᯝࡀ☜ㄆࡉࢀࡓ࡜ゝ࠼ࡿ㸬ࡲࡓ᥋ゐᮦࢆᤄධࡋࡓሙྜ㸪᥋ゐ㠃ࡢ⢒ࡉࡢ㐪࠸࡟ࡼࡿ఩┦㐜ࢀࡢᕪࡶぢࡽࢀ࡞࠸㸬᥋ゐᮦࢆᤄධࡋࡓሙྜ㸪⢒ࡉ࡟ࡼࡿᕪࡀぢࡽࢀ࡞࠸஦ࡶᐃᖖἲ࡟ࡼࡿ ᐃ⤖ᯝࡢഴྥ࡜ྠࡌ࡛࠶ࡿ㸬௨ୖࡢࡼ࠺࡟᥋ゐ㠃⢒ࡉ㸪᥋ゐᅽຊ㸪᥋ゐᮦࡢఏ⇕ 2020 ᖺ 1 ᭶- 11 -

70

0.16MPa
0.32MPa
1.0MPa3.0MPa7.0MPa

60
50
40
30

90
80
Phase lag [deg]Maximum phase lag [deg]9570

B-1 (With sheet)
101
102
103
Modulation frequency [Hz]0.16MPa
0.32MPa
1.0MPa3.0MPa7.0MPa

60
50
40
30

B-3 (With sheet)
102
103
101
Modulation frequency [Hz]ᅗ 8 ᥋ゐᮦࢆᤄධࡋࡓሙྜࡢ఩┦㐜ࢀ㸦ヨᩱ B-1, B-3㸧㸴㸬᥋ゐ⇕᢬ᢠࡢᐃ㔞ⓗホ౯఩┦㐜ࢀࡢ ᐃ⤖ᯝ࡜㸪᥋ゐ⇕᢬ᢠࢆ⪃៖ࡋࡓ⌮ㄽࣔࢹࣝ࡟ࡼࡿ⌮ㄽ᭤⥺࡜ࡢẚ㍑࠿ࡽ㸪᥋ゐ⇕᢬ᢠࡢᐃ㔞ⓗホ౯ࢆヨࡳࡓ㸬ᅗ 9 ࡟ࡑࡢ୍౛ࢆ♧ࡍ㸬ᐇ⥺ࡣ⌮ㄽ᭤⥺࡛࠶ࡾ㸪᥋ゐ⇕᢬ᢠ R ࢆኚ໬ࡉࡏ࡚ィ⟬ࢆ⾜࡞ࡗࡓ⤖ᯝ࡛࠶ࡿ㸬 ᐃ⤖ᯝ࡜⌮J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫㸵㸬ࡲ࡜ࡵ
ග㡢㡪ἲ࡟ࡼࡾ᥋ゐ⇕᢬ᢠࡢᏑᅾࡍࡿ 2 ᒙᮦᩱ࡟ࡘ࠸࡚఩┦㐜ࢀࢆ ᐃࡋ᥋ゐ⇕᢬ᢠࡢホ౯᪉ἲࢆᥦ᱌ࡋ㸪ᐇ㦂ⓗ㸪⌮ㄽⓗ࡞᳨ウࢆ⾜࡞ࡗࡓ㸬ࡑࡢ⤖ᯝ㸪≉࡟఩┦㐜ࢀࡢࣆ࣮ࢡ್ࢆẚ㍑ࡍࡿࡇ࡜࡟ࡼࡗ࡚᥋ゐ⇕᢬ᢠࡢኚ໬ࢆᤊ࠼ࡿࡇ࡜ࡀྍ⬟࡛࠶ࡿࡇ࡜ࡀศ࠿ࡗࡓ㸬᥋ゐ㠃ࡢ⢒ࡉ㸪᥋ゐᅽຊ㸪᥋ゐ㠃࡬ࡢ᥋ゐᮦᤄධࡢ᭷↓࡟ࡼࡿ᥋ゐ⇕᢬ᢠࡢኚ໬ࢆග㡢㡪ἲ࡛ᤊ࠼ࡿ஦ࡀ࡛ࡁ㸪ࡑࢀࡽࡢഴྥ
ࡣᐃᖖἲ࡟ࡼࡿẚ㍑ᐇ㦂ࡢ⤖ᯝ࡜୍⮴ࡋࡓ㸬ቃ⏺
᮲௳࡟᥋ゐ⇕᢬ᢠࢆ⪃៖ࡋࡓග㡢㡪ἲ ᐃ⌮ㄽࢆ⏝࠸࡚㸪 ᐃ⤖ᯝ࠿ࡽ᥋ゐ⇕᢬ᢠࢆ⟬ฟࡋࡓ⤖ᯝ㸪ᐃᖖἲ࡛ ᐃࡉࢀࡓ್࡜ྠࡌ࣮࢜ࢲ࣮ࡢ᥋ゐ⇕᢬ᢠ್ࡀᚓࡽࢀࡓ㸬 ᐃ್ࡢ⢭ᗘࡢྥୖ࡟ࡣ 3 ḟඖⓗ࡞⇕ࡢὶࢀࢆ⪃៖ࡋࡓゎᯒࡀᚲせ࡛࠶ࡿ㸬

90 B-3Phase lag [deg]

80
70
60
50
Meas. (0.32MPa)
Cal. (R=2.5x10-4 [m2K/W]

40
30

101
102
103
Modulation frequency [Hz]ᅗ 9 ఩┦㐜ࢀࡢᐃ್࡜⌮ㄽ್࡜ࡢẚ㍑

ㄽ᭤⥺࡜ࡣ᏶඲࡟ࡣ୍⮴ࡋ࡞࠿ࡗࡓࡀ㸪఩┦㐜ࢀࡢࣆ࣮ࢡ್ࡢẚ㍑࡟ࡼࡾ᥋ゐ⇕᢬ᢠࡢኚ໬ࢆᤊ࠼
ࡽࢀࡿࡇ࡜࠿ࡽ㸪 ᐃ⤖ᯝ࡜⌮ㄽ᭤⥺࡜࡛ࣆ࣮ࢡ
್ࡀ୍⮴ࡍࡿ᫬ࡢ᥋ゐ⇕᢬ᢠ್ࢆồࡵࡓ㸬ࡑࡢ⤖ᯝ㸪౛࠼ࡤヨᩱ B-3㸦ⷧᯈ Ra0.080[ȝm]㸪
ࣂࣝࢡ Ra0.205[ȝm]㸧ࡢ᥋ゐᅽຊ 0.32 [MPa]ࡢ ᐃ⤖ ᯝ ࠿ ࡽ ᚓ ࡽ ࢀ ࡓ ᥋ ゐ ⇕ ᢬ ᢠ ್ ࡣ 2.5×10-4[m2K/W]࡜࡞ࡗࡓ㸦ᅗ 9㸧㸬ࡑࢀ࡟ᑐࡋ࡚ᐃᖖἲࡢ
ᐃ⤖ᯝࡢ୰࡛ẚ㍑ⓗྠᵝࡢ᮲௳࡛࠶ࡿヨᩱ 2-b
㸦ヨᩱ 1㸸Ra0.106 [ȝm]㸪ヨᩱ 2-b㸸Ra0.110[ȝm]㸧㸪
᥋ゐᅽຊ 0.32[MPa]ࡢሙྜࡢ᥋ゐ⇕᢬ᢠࡣ 3.6×10-4[m2K/W]࡛࠶ࡿ㸬୧⪅ࡢ࣮࢜ࢲ࣮ࡣ୍⮴ࡋ࡚࠾ࡾ㸪ྠᵝࡢ᮲௳ୗ࡟࠾ࡅࡿ ᐃ⤖ᯝ࠿ࡽග㡢㡪ἲ࡜ᐃᖖἲ࡜࡛ྠࡌ࣮࢜ࢲ࣮ࡢ᥋ゐ⇕᢬ᢠ್ࡀᚓࡽࢀࡓ㸬
ࡓࡔࡋ᪤㏙ࡢ㏻ࡾ㸪 ᐃ⤖ᯝ࡜⌮ㄽ᭤⥺࡜ࡣ᏶඲࡟ࡣ୍⮴ࡋ࡞࠸㸬ᮏ◊✲࡛⏝࠸ࡓ ᐃ⌮ㄽࡣ⇕ࡢὶࢀࡀ୍ඖⓗ࡛࠶ࡿ࡜࠸࠺௬ᐃ࡟ᇶ࡙࠸࡚࠸ࡿ㸬ග㡢㡪ἲ୍࡛ḟඖⓗ࡞ྲྀࡾᢅ࠸ࡀฟ᮶ࡿࡢࡣ㸪↷ᑕගࡢࣅ࣮࣒ᚄ࡟ᑐࡋ࡚⇕ᣑᩓ㛗ࡀᑠࡉ࠸᫬࡛࠶
ࡿ㸬ᮏ◊✲࡛ᢅࡗࡓ Ti ࡢሙྜ㸪ኚㄪ࿘Ἴᩘࡀ 5[Hz]ࡢ᫬㸪⇕ᣑᩓ㛗ࡣ ȝ=0.77 [mm]࡛࠶ࡿ㸬࣮ࣞࢨ࣮ᚄ 2[mm]࡟ᑐࡋ࡚⇕ᣑᩓ㛗ࡣࡑࢀࡼࡾࡶᑠࡉ࠸ࡀ㸪༑ศᑠࡉ࠸࡜ࡣゝ࠼ࡎ㸪ࡲࡓᐇ㝿࡟ࡣ࡝ࡢ⛬ᗘ࣮ࣞࢨ࣮ᚄ࡟ᑐࡋ࡚⇕ᣑᩓ㛗ࡀᑠࡉࡅࢀࡤ 1 ḟඖⓗ࡟⇕ࡢὶࢀࢆྲྀࡾᢅ࠼ࡿ࠿ࡣ୙࡛᫂࠶ࡿ㸬௒ᚋ㸪ࡼࡾṇ☜࡞᥋ゐ⇕᢬ᢠࡢᐃ㔞ⓗホ౯ࢆ⾜࠺ࡓࡵ࡟ࡣ 3 ḟඖⓗ࡞⇕ࡢὶࢀࢆ⪃៖ࡋࡓゎᯒࢆ⾜࠺ᚲせࡀ࠶ࡿ࡜⪃࠼ࡽࢀ㸪ࡑࢀࡣ௒ᚋࡢㄢ㢟࡛࠶ࡿ㸬ఏ⇕ 2020 ᖺ 1 ᭶- 12 -ཧ⪃ᩥ⊩[1] ⰱศ⠊⾜㸪኱㯮ᓫᘯ㸪ᕝᮧᆂ୕㸪㢌ኈ㙠ኵ㸪Ⓨ⇕⣲Ꮚ෭༷⏝ࡢ࣐ࣝࢳࣇ࢕ࣥᙧ⇕ఏᑟయ࡟㛵ࡍࡿ◊✲㸦➨ 2 ሗ㸪Ⓨ⇕⣲Ꮚ࡜⇕ఏᑟయ㛫ࡢ᥋ゐ⇕᢬ᢠࡢண ᪉ἲ㸧㸪᪥ᮏᶵᲔᏛ఍ㄽᩥ
㞟 B ⦅㸪58-547, (1992), 871.
[2] ⰱศ⠊⾜㸪Ⓨ⇕⣲Ꮚ෭༷⏝ࡢ࣐ࣝࢳࣇ࢕ࣥᙧ
⇕ఏᑟయ࡟㛵ࡍࡿ◊✲㸦➨ 3 ሗ㸪Ⓨ⇕⣲Ꮚ࡜⇕ఏᑟయ㛫ࡢ᥋ゐ⇕᢬ᢠ࡬ࡢ㠀➼᪉ᛶ⾲㠃⢒ࡉࡢᙳ㡪࡟ࡘ࠸࡚ࡢ⌮ㄽⓗ⪃ᐹ㸧㸪᪥ᮏᶵᲔᏛ
఍ㄽᩥ㞟 B ⦅㸪58-554, (1992), 3141.
[3] Nishino, K., Yamashita, S. and Torii, K., Thermal
contact conductance under low applied load in a
vacuum environment, Experimental Thermal andFluid Science, 10-2, (1995), 258.
[4] ኱᭮᰿㟹ኵ㸪ஂಖ㈗㸪୰㔛඾⏕㸪ᅛయ᥋ゐ㠃࡟࠾ࡅࡿ᥋ゐ⇕ࢥࣥࢲࢡࢱࣥࢫࡢ㔠ᒓⷧ⭷࡟ࡼࡿᨵၿ㸪᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟 B ⦅㸪71-710,(2005), 2500.
[5] బ㔝ᕝዲẕ㸪㔠ᒓ᥋ゐ㠃࡟࠾ࡅࡿఏ⇕࡟㛵ࡍࡿ◊✲➨ 4 ሗ, ᥋ゐ㠃ࡢ⾲㠃࠶ࡽࡉࡢᙧ≧࣭࠺ࡡࡾࡢᙳ㡪࡜᥋ゐ⇕᢬ᢠࡢ㏆ఝィ⟬ἲ㸪᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟㸪33-251, (1967), 1097.
[6] Sridhar, M. R. and Yovanovich, M. M., Thermal
contact conductance of tool steel and comparison
with model, International Journal of Heat andMass Transfer, 39-4, (1996), 831.
[7] 㕥ᮌᩔ㸪బࠎᮌせ㸪᱓ཎᖹྜྷ㸪࢔࣑ࣝ㟁ゎࢥ

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫
[12] 㧗ᶫ୍㑻㸪෠ኈཎ⪽㸪㔠ᒓ᥋ゐ⏺㠃࡟࠾ࡅࡿ⇕ࢥࣥࢲࢡࢱࣥࢫࡢ㠀ᐃᖖ≉ᛶ㸪᪥ᮏᶵᲔᏛ
఍ㄽᩥ㞟 B ⦅㸪65-639, (1999), 3720.
[13] Zhang, X., Cong, P. Z., Fujiwara,S. and Fujii, M.,
A new method for numerical simulation of thermal
contact resistance in cylindrical coordinates,
International Journal of Heat and Mass Transfer,ࣥࢹࣥࢧ࡟࠾ࡅࡿ࢚࣓ࣞࣥࢺ࡜ࢣ࣮ࢫ㛫ࡢ᥋ゐ⇕᢬ᢠ㸪᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟 B ⦅㸪66-645,(2000), 1503.
[8] Tomimura, T., Experimental study of filler
insertion effect on mean thermal contact
conductance, JSME International Journal. Series
B, Fluids and thermal engineering 47-3, (2004),447.

47, (2004), 1091.
[14] Rosencwaig, A. and Gersho, A., Theory of thephotoacoustic effect with solids, Journal of[9] ⠏ῧṇ㸪ஂ㛛㍤ṇ㸪㔠ᒓ᥋ゐ㠃ࡢఏ⇕ᶵᵓ㸦➨
1 ሗ㸪➨ 2 ሗ㸧㸪᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟㸪37-299,(1971), 1361.
[10] Cong, P. Z., Zhang, X. and Fujii, M., Estimationof thermal contact resistance using ultrasonicwaves, International Journal of Thermophysics,

Applied Physsics. 47-1, (1976), 64.͒[15] ᪥ᮏ⇕≀ᛶᏛ఍⦅, ⇕≀ᛶࣁࣥࢻࣈࢵࢡ, 㣴㈼ᇽ, (1990).
[16] ຍ㈡⏣⩧㸪ᒣ⏣ဴஓ㸪ྜྷ⏣⠜ṇ㸪ග㡢㡪ἲ࡟ࡼࡿᅛయ᥋ゐ㠃ࡢ⇕᢬ᢠࡢ ᐃ࡜ࡑࡢホ౯㸪᪥ ᮏᶵᲔᏛ఍ ㄽᩥ㞟㸪 81-823, Paper No.1400435 (Total 13pages), (2015).

27-1, (2006), 171.
[11] 㣤⏣჆ᏹ㸪㏆⸨ᫀᘯ㸪㔠ᓮ೺㸪Ώ㎶⿱அ㸪᥋ゐ⇕᢬ᢠࡢ㠀ᐃᖖ௵ពຍ⇕࡟ࡼࡿ ᐃἲ㸪᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟 B ⦅㸪63-610, (1997), 2154.

ఏ⇕ 2020 ᖺ 1 ᭶- 13 -J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫㧗⇕ὶ᮰⎔ቃୗ࡟࠾ࡅࡿ TIM ཬࡧ᥋ゐᅽຊ༳ຍ࡟ࡼࡿ᥋ゐ⇕᢬ᢠపῶຠᯝࡢ᳨ド
Verification of the Reduction Effect of Contact Thermal Resistancewith TIM and Contact Pressure in High Heat Fluxᮌఅ ⌮ἋᏊ㸦ᒣཱྀᮾி⌮⛉኱Ꮫ㸧
Risako KIBUSHI (Sanyo-Onoda City University)
kibushi@rs.socu.ac.jp㸯㸬ࡣࡌࡵ࡟
㟁Ꮚᶵჾࡢ୰࡟ࡣከࡃࡢ༙ᑟయ⣲Ꮚࡀᦚ㍕ࡉࢀ࡚࠸ࡿ㸬ࡇࢀࡽࡢ༙ᑟయ⣲Ꮚ࡟ࡣ㸪ࣟࢪࢵࢡ༙ᑟయ
ࡸࣃ࣮༙࣡ᑟయࡀ࠶ࡿ㸬≉࡟ࣃ࣮༙࣡ᑟయࡣ㸪኱ࡁ࡞㟁ᅽࡸ㟁ὶࢆྲྀࡾᢅ࠺༙ᑟయ࡛㸪㕲㐨㌴୧ࡸ⮬ື㌴㸪ࢫ࣐࣮ࢺࣇ࢛ࣥࡸࣀ࣮ࢺࣃࢯࢥࣥࡢ඘㟁ჾ࡜ࡋ࡚ࡶ౑⏝ࡉࢀ࡚࠸ࡿ㸬ࡇࢀࡽࡢ༙ᑟయ⣲Ꮚࡢ⣲ᮦࡣ㸪ᚑ᮶ࡣࢩࣜࢥࣥ㸦Si㸧࡛࠶ࡗࡓࡀ㸪㏆ᖺࡣ┬࢚ࢿࣝࢠ࣮໬࡟㈉⊩ࡍࡿ࡜ࡉࢀࡿࠕḟୡ௦༙ᑟయࠖ࡜࿧ࡤࢀࡿࢩࣜࢥ࣮ࣥ࢝ࣂ࢖ࢻ㸦SiC㸧ࡸ࣒࢞ࣜ࢘ࢼ࢖ࢺࣛ࢖ࢻ㸦GaN㸧ࡀὀ┠ࡉࢀ࡚࠾ࡾ㸪〇ရ໬ࡀጞࡲࡗ࡚࠸ࡿ㸬༙ᑟయ⣲Ꮚࡢ⣲ᮦࡀ Si
࠿ࡽ SiC ࡸ GaN ࡟⨨ࡁ᥮࠼ࡽࢀ㸪ࡉࡽ࡟ࡣࡑࢀࡽ
ࡢ᭱኱ᛶ⬟࡛౑⏝ࡉࢀࡿࡼ࠺࡟࡞ࡿ࡜㸪⣲Ꮚ࡟ࡣ኱㟁ᅽ࣭኱㟁ὶࡀ༳ຍࡉࢀࡿ㸬ࡇࢀࡽ⣲Ꮚࡢ㥑ື᫬࡟㉳ࡇࡿ⮬ᕫⓎ⇕࡟ࡼࡾ㸪㠀ᖖ࡟㧗࠸ ᗘ㸦ሙྜ࡟ࡼࡗ࡚ࡣ 200 oC ࠿ࡽ 250 oC㸧࡟฿㐩ࡍࡿ࡜ணࡉࢀࡿ㸬[1, 2] ࡇࡢࡼ࠺࡞㸪㧗 ⎔ቃ࡛౑⏝ࡉࢀࡿ༙ᑟయ⣲Ꮚࡢ࿘㎶࡟ࡣ㸪ከࡃࡢ⣲ᮦ࠿ࡽᵓᡂ
ࡉࢀࡿ㒊ရࡀᏑᅾࡋ㸪ࡑࢀࡒࢀࡢᮦᩱࡀ␗࡞ࡗࡓ
⇕⭾ᙇಀᩘࢆ᭷ࡍࡿࡓࡵ㸪 ᗘୖ᪼࡟క࠸㒊ရ࣭ᮦᩱࡢቃ⏺࡟ட⿣ࡀ⏕ࡌ㸪ᨾ㞀ࡢཎᅉ࡜ᡂࡾᚓࡿ㸬ࡑࡢࡓࡵ㸪⪏⇕ᛶࡀ㧗࠸࡜ࡉࢀࡿḟୡ௦༙ᑟయࢆ
᥇⏝ࡋࡓ㟁Ꮚᶵჾ࡛࠶ࡗ࡚ࡶ㸪 ᗘୖ᪼ࢆ᭱ᑠ㝈࡟ᢚ࠼ࡿ෭༷ᢏ⾡ࡣ㔜せ࡛࠶ࡿ㸬෭༷ᛶ⬟ࢆྥୖࡉࡏࡿࡓࡵ࡟ࡣ㸪෭༷ࢩࢫࢸ࣒㸦౛࠼ࡤ㸪⇕஺᥮ჾ㸪ࣄ࣮ࢺࢩࣥࢡ࡞࡝㸧ࡢᛶ⬟ࡢྥୖࡸ㸪Ⓨ⇕ࢆ㉳ࡇࡍ༙ᑟయ࠿ࡽ෭༷ࢩࢫࢸ࣒ࡲ࡛ࡢ⇕ࡢ⛣ື⤒㊰࡟Ꮡᅾࡍࡿᵝࠎ࡞㒊ရࡸᮦᩱࡢ᥋⥆㒊ศ࡟Ⓨ⏕ࡍࡿ᥋ゐ⇕᢬ᢠࡢపῶࡀㄢ㢟࡛࠶ࡿ㸬[3] 㒊ရࡢ᥋⥆㒊ࢆᴟࡵ࡚ᖹ⁥࡟௙ୖࡆࡿࡇ࡜ࡀ࡛ࡁࢀࡤ㸪᥋ゐ⇕᢬ᢠࢆపῶࡍࡿࡇ࡜ࡣྍ⬟࡛࠶ࡿࡀ㸪ᐇ㝿ࡣ㒊ရྠኈࡀ᥋ゐࡋ࡚࠸ࡿ⾲㠃ࡣࠕ⾲㠃⢒ࡉࠖ࡜㸪⢒ࡉࡼࡾࡶ኱ࡁ࡞࿘ᮇࡢ㉳అࢆࡶࡘࠕ࠺ࡡࡾࠖࡀ
Ꮡᅾࡍࡿ㸬ࡑࡢࡓࡵ㸪ぢ࠿ࡅୖ᥋ゐࡋ࡚࠸ࡿ㠃✚࡟ᑐࡋ࡚㸪ᐇ㝿࡟㒊ရྠኈࡀ᥋ゐࡋ࡚࠸ࡿ┿ᐇ᥋ఏ⇕ 2020 ᖺ 1 ᭶

ゐ㠃✚ࡣ㠀ᖖ࡟ᑠࡉࡃ㸪ぢ࠿ࡅࡢ᥋ゐ㠃✚࡟ᑐࡋ
࡚ 0.1 %ࢆୗᅇࡿ࡜ࡉࢀ࡚࠸ࡿ㸬[4] ࡑࡢࡓࡵ㸪㒊ရྠኈࢆ༢⣧࡟᥋⥆ࡋࡓሙྜ㸪┿ᐇ᥋ゐ㒊ࡀ୺࡞⇕⤒㊰࡜࡞ࡾ㸪ࡑࢀ௨እࡢ✵㝽㒊࡛ࡣ㧗 ഃ࠿ࡽప ഃ࡟ྥࡅ࡚✵Ẽࢆ௓ࡋ࡚⇕⛣ືࡍࡿࡇ࡜࡟࡞
ࡿ㸬ࡇࡢࡼ࠺࡟༢⣧࡟㒊ရྠኈࢆ᥋ゐࡉࡏࡓሙྜ㸪ᅗ 1 ࡟♧ࡍࡼ࠺࡟ࡑࡢ㠃✚ࡢ࡯࡜ࢇ࡝ࡀ⇕ఏᑟ⋡ࡢప࠸✵Ẽࢆ௓ࡋ࡚࠾ࡾ㸪᥋ゐ⇕᢬ᢠࡀ኱ࡁࡃ࡞
ࡿ㸬ᐇ㝿ࡢ〇ရ࡛ࡣ㸪✵Ẽࡼࡾࡶ⇕ఏᑟᛶࡀ㧗࠸ࠕ⇕ఏᑟࢢ࣮ࣜࢫࠖࡸ㸪ࠕ⇕ఏᑟࢩ࣮ࢺࠖ࡞࡝ࢆᣳ
ࡴࡇ࡜࡛᢬ᢠࡀపῶࡉࢀࡿ㸬[3,5] ࡇࢀࡽࡢ᥋ゐ⇕᢬ᢠࢆపῶࡉࡏࡿࡓࡵ࡟㒊ရ㛫࡟ᣳࡳ㎸ࡴᮦᩱࡢࡇ࡜ࢆ Thermal Interface Material (TIM)࡜࿧ࡪ㸬ḟୡ௦ࣃ࣮༙࣡ᑟయࢆᦚ㍕ࡋࡓ㟁Ꮚᶵჾࡢሙྜ࡟㐺⏝ࡉࢀࡿ TIM ࡟ࡘ࠸࡚ࡣ㸪㧗࠸⪏⇕ᛶࡀᚲせ࡜࡞ࡿࡓࡵ㸪ᚑ᮶ရ࡜ࡣ␗࡞ࡿ TIM ࢆ㐺⏝ࡍࡿᚲせࡀ࠶ࡿ㸬౛࠼ࡤ㸪⪏⇕ᛶࡶ㧗ࡃ⇕ఏᑟᛶࡀⰋ࠸ TIM
࡜ࡋ࡚㸪㖡࣮࣌ࢫࢺࡸ㖟࣮࣌ࢫࢺࡀᣲࡆࡽࢀࡿ㸬ࡇࢀࡽࡢ㐺⏝࡟ࡼࡾ㸪ḟୡ௦༙ᑟయࢹࣂ࢖ࢫࡢ฿㐩 ᗘࡣ᭱ᑠ㝈࡟ᢚ࠼ࡿࡇ࡜ࡀᮇᚅࡉࢀࡿ㸬ࡶࡢ࡙ࡃࡾࡢ⌧ሙ࡛ࡣ㸪10 0C ࡢ ᗘୖ᪼ࡀᮦᩱࡢຎ໬
ࢫࣆ࣮ࢻࢆ 2 ಸ࡟ࡍࡿ࡜࠸࠺⤒㦂್ⓗἲ๎ࡢࠕ100
C 2 ಸ๎ࠖࡀᣦᶆ࡜ࡉࢀ࡚࠸ࡿ㸬㟁Ꮚᶵჾࡢタィ࡛ࡣ㸪㥑ື᫬ࡢṇ☜࡞ ᗘୖ್᪼ࢆᤊ࠼࡞ࡅࢀࡤ㸪ண᝿௨ୖ࡟▷࿨࡞ᶵჾࢆ⏕ࡳฟࡋ࡚ࡋࡲ࠺ࡇ࡜ࡶ
኱࠸࡟࠶ࡾᚓࡿ㸬ࡑࡇ࡛㸪༙ᑟయ⣲Ꮚࡢ ᗘୖ᪼ࢆᢚ࠼ࡿࡓࡵ࡟౑⏝ࡉࢀࡿ TIM ࡛࠶ࡿࡀ㸪ࡑࡢṇ☜࡞᥋ゐ⇕᢬ᢠపῶຠᯝࢆ᫂ࡽ࠿࡟ࡋ࡞ࡅࢀࡤ㸪┬࢚ࢿࣝࢠ࣮࠿ࡘ㛗ᑑ࿨࡞ᶵჾࢆタィࡍࡿࡇ࡜ࡣ㞴ࡋ࠸㸬ᅗ 1 ᅛయྠኈࡢ᥋ゐ㠃- 14 -J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫≉࡟㸪ḟୡ௦༙ᑟయ࡛ࡣ༢఩య✚࠶ࡓࡾࡢⓎ⇕
㸦Ⓨ⇕ᐦᗘ㸧ࡀࡼࡾ㧗ࡃ࡞ࡿࡇ࡜ࡀண ࡉࢀ࡚࠾ࡾ㸪㠀ᖖ࡟㧗࠸⇕ὶ᮰⎔ቃ࡛ TIM ࡀ౑⏝ࡉࢀࡿ㸬ࡇࡢ㧗⇕ὶ᮰㸪࠿ࡘ㧗 ୗ࡛ࡢ౑⏝࡟㐺ࡋࡓ TIM ࡢ㑅ᐃࡸ㸪㧗 ࣭㧗⇕ὶ᮰࡛ࡢఏ⇕≉ᛶࢆṇ☜࡟ᤊ࠼࡞ࡅࢀࡤ㸪ḟୡ௦༙ᑟయࡢṇ☜࡞⇕タィࡣ㞴ࡋ࠸㸬ࡇࡇ࡛㸪ᨾ㞀ࢆ㑊ࡅࡓ࠸ࡀࡓࡵ࡟㐣๫࡟Ᏻ඲࡞タィࢆ᪋ࡑ࠺࡜ࡍࡿሙྜ㸪ᚲせ௨ୖ࡟ᛶ⬟ࡢ㧗࠸෭༷ࢩࢫࢸ࣒ࢆᦚ㍕ࡋ࡞ࡅࢀࡤ࡞ࡽ࡞࠸㸬୍᪉࡛㸪┬࢚ࢿࣝࢠ࣮໬ࡢࡓࡵ࡟ࡣ෭༷ࢩࢫࢸ࣒࡟㈝ࡸࡍ
㟁ຊࢆ᭱ᑠ㝈࡟ᢚ࠼࡞ࡅࢀࡤ࡞ࡽࡎ㸪ṇ☜࠿ࡘᏳ඲࡞⇕タィᡭἲࡀồࡵࡽࢀࡿ㸬 ࡇࢀࡲ࡛࡟㸪ᶲ[6]㸪బ㔝ᕝ[7] ࡽ࡟ࡼࡗ࡚᥋ゐᅽຊ࡜᥋ゐ⇕᢬ᢠࡢ㛵ಀࡀ♧ࡉࢀ࡚࠸ࡿࡀ㸪ࡇࢀࡽࡣ㟁Ꮚᶵჾ࡛౑⏝ࡉࢀࡿ᥋ゐᅽຊࡼࡾࡶ㧗࠸㡿ᇦ࡛㐺⏝ࡉࢀ㸪ࡼࡾప᥋ゐᅽຊୗ࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠࢆホ౯ࡍࡿᚲせࡀ࠶ࡿ㸬ࡑࡇ࡛㸪ᮏ◊✲࡛ࡣ
ప᥋ゐᅽຊୗ࡟࠾࠸࡚㸪ᚑ᮶౑⏝ࡉࢀ࡚࠸ࡿ TIM
ࢆྵࡵ㸪㧗 ࣭㧗⇕ὶ᮰ୗ࡛ࡢ౑⏝ࡀᮇᚅࡉࢀࡿ
㖟࣮࣌ࢫࢺࢆ᥇⏝ࡋࡓሙྜࡢ᥋ゐ⇕᢬ᢠపῶຠᯝ
ࢆᐇ㦂ⓗ࡟ホ౯ࡍࡿ㸬㸰㸬ᐇ㦂ᴫせ ᐇ㦂⿦⨨࡜ ᐃ᪉ἲ
ᅗ 2 ࡟㸪⇕᢬ᢠ ᐃ⿦⨨ࢆ♧ࡍ㸬ᮏヨ㦂࡛ࡣ㸪ᐃᖖἲ࡟ࡼࡾ⇕᢬ᢠࢆィ ࡍࡿ㸬ᅗ୰ࡢヨ㦂㒊ࡣ↓㓟⣲㖡〇࡛㸪2 ࡘࡢࣃ࣮ࢶ㸦௨㝆㸪㖡ࣈࣟࢵࢡ࡜⛠ࡍࡿ㸬㸧ࢆ௜ࡁྜࢃࡏ㸪ࡑࡢ᥋ゐ㠃㛫࡟ TIM
ࢆᣳࡳ㎸ࡳ㸪⇕᢬ᢠࢆ ᐃࡍࡿ㸬ᮏヨ㦂࡛ࡣ㧗⇕ὶ᮰ヨ㦂ࢆᐇ⌧ࡍࡿࡓࡵ㸪㖡ࣈࣟࢵࢡࡢࣄ࣮ࢱ࠾
ࡼࡧ෭፹⏝ὶ㊰㏆ഐࡣ᩿㠃✚ࡢ኱ࡁ࠸ࣆ࣑ࣛࢵࢺ
ᙧ≧࡜ࡋ㸪ヨ㦂㒊࿘㎶ࡣ᩿㠃✚ࡢᑠࡉ࠸෇ᰕᙧ≧࡟ࡍࡿࡇ࡜࡛⇕ὶࢆ⦰ὶࡉࡏࡿ㸬௨㝆㸪ࡇࡢ෇ᰕ㒊ୖ㠃ࢆఏ⇕㠃࡜࿧ࡪ㸬ᮏヨ㦂ࡢ෇ᙧఏ⇕㠃ࡢ┤ᚄࡣI 10 mm ࡜ࡋࡓ㸬ୖഃࡢ㖡ࣈࣟࢵࢡࢆ࣮࢝ࢺ
ࣜࢵࢪࣄ࣮ࢱ࡟ࡼࡾຍ⇕ࡋ㸪ୗഃࡢ㖡ࣈࣟࢵࢡࢆ
Ỉ㐨Ỉ࡟ࡼࡾ෭༷ࡍࡿࡇ࡜࡛ୖ࠿ࡽୗ࡬ࡢ⇕ὶࢆ
Ⓨ⏕ࡉࡏࡿ㸬ఏ⇕㠃㛫ࢆ㏻㐣ࡍࡿ⇕ὶ᮰ࢆ⟬ฟࡍࡿࡓࡵ㸪㖡ࣈࣟࢵࢡ෇ᰕ㒊ࡢ ᗘ໙㓄ࢆྲྀᚓࡍࡿ㸬ୖୗ㖡ࣈࣟࢵࢡ෇ᰕ㒊ࡢ୰ᚰ㍈ୖ࡟ 2.5 mm 㛫㝸࡛ 4 ⟠ᡤ࡟⇕㟁ᑐࢆタ⨨ࡋ㸪 ᗘࢆ ᐃࡍࡿ㸬⪏⇕ᛶࡢၥ㢟࡟ࡼࡾຍ⇕ഃ㖡ࣈࣟࢵࢡ࡟タ⨨ࡍࡿ⇕㟁ᑐࡣ K ᆺࢡࣛࢫ 1 ࡜ࡋ㸪෭༷ഃ㖡ࣈࣟࢵࢡ࡟ࡣ
T ᆺࢡࣛࢫ 1 ࡢ⇕㟁ᑐࢆタ⨨ࡍࡿ㸬࣮࢝ࢺࣜࢵࢪ

ఏ⇕ 2020 ᖺ 1 ᭶

ᅗ 2 ⇕᢬ᢠᐃ⿦⨨ࡢᴫ␎

ᅗ 3 ᥋ゐ⇕᢬ᢠࡢホ౯᪉ἲࣄ࣮ࢱ࡬ࡢ༳ຍ㟁ᅽࢆ 5V 㛫㝸࡛ୖ᪼ࡉࡏ㏻㟁ຍ⇕ࡋ㸪ྛ࣎ࣝࢺ࡛ᐃᖖ≧ែࡢ ᗘࢆ ᐃࡍࡿ㸬 ᐇ㦂᮲௳ᮏヨ㦂࡛ࡣ㸪⇕ఏᑟ⋡ࡀ㠀ᖖ࡟㧗࠸㖟ࢆ⣲ᮦ࡜ࡍࡿ㖟࣮࣌ࢫࢺࢆ㐺ᛂࡋࡓሙྜࡢ⇕᢬ᢠࢆィ ࡍࡿ㸬ࡲࡓ㸪ᚑ᮶౑⏝ࡉࢀ࡚࠸ࡿ TIM ࡜ࡋ࡚ࢧ࣮࣐
ࣝࢢ࣮ࣜࢫ㸪⇕ఏᑟࢤࣝ㸪ࡣࢇࡔ㸪㖡࣮࣌ࢫࢺࡢ
ሙྜࡢ⇕᢬ᢠࢆィ ࡋ㸪ࡑࢀࡒࢀࡢ TIM ࡢఏ⇕≉ᛶ࡟ࡘ࠸࡚ホ౯ࢆ⾜࠺㸬ࡲࡓཧ⪃ࢹ࣮ࢱ࡜ࡋ࡚
TIM ࢆሬᕸࡋ࡞࠸ሙྜࡢ⇕᢬ᢠࡢィ ⤖ᯝࡶ♧ࡍ㸬ᮏヨ㦂࡛ࡣఏ⇕㠃࡟᥋ゐᅽຊࢆ୚࠼㸪᥋ゐᅽຊ࡟ࡼࡿᙳ㡪ࡶホ౯ࡍࡿ㸬᥋ゐᅽຊࡣ 0.33 MPa㸪1.71
MPa㸪3.08 MPa ࡜ࡋࡓ㸬ࡣࢇࡔ࠾ࡼࡧ㖟࣮࣌ࢫࢺ࡟࠾࠸࡚ࡣ㸪ヨ㦂ࢆ㛤ጞࡍࡿ๓࡟ຍ⇕ࡋ㸪ᅛ໬ࡉࡏࡿ㸬ࡇࡇ࡛㸪඲࡚ࡢ TIM ࡢཌࡳࡣ᥋ゐᅽຊ࡟ࡼࡗ࡚Ỵᐃࡉࢀࡿࡶࡢ࡜ࡍࡿ㸬- 15 -J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫

ᐃᡭἲ

TIM

0.33 / 1.71 / 3.08 MPa

᥋ゐᅽຊ Pcᐇ㦂⤊஢᮲௳

ࡀ㸪༳ຍᅽຊ࡜ẚ౛㛵ಀ࡛ࡣ࡞࠸㸬1.71 MPa ࡢሙྜࡣ㸪㟁Ꮚᶵჾ࡟࠾ࡅࡿ᥋ゐᅽຊࡼࡾࡶ㧗࠸ᅽຊ࡛ࡣ࠶ࡿࡀ㸪TIM ࡞ࡋ࡛࠶ࡗ࡚ࡶ⇕ఏᑟࢢ࣮ࣜࢫ
㸦Pc = 0.33 MPa㸧࡟㏆࠸⇕᢬ᢠࢆ♧ࡋ࡚࠸ࡿ㸬ὀどࡍ࡭ࡁࡣ㸪᥋ゐᅽຊࡀ 0.33 MPa ࡢሙྜࡢࢧ࣮࣐ࣝ
ࢢ࣮ࣜࢫ࡛㸪⇕ὶ᮰ࡀ 250 W/cm2 ௜㏆࡛⇕᢬ᢠࡀୖ᪼ࡍࡿഴྥࡀ☜ㄆࡉࢀࡓࡇ࡜࡛࠶ࡿ㸬ࢧ࣮࣐ࣝࢢ࣮ࣜࢫࡣ ᗘୖ᪼࡟క࠸ࡕࡻ࠺ᗘࡀୖ᪼ࡍࡿࡓ
ࡵ㸪TIM ࡢཌࡳࡀኚ໬ࡍࡿࡇ࡜࡛ᚎࠎ࡟⇕᢬ᢠࡀపῶࡍࡿഴྥࡀぢࡽࢀࡿࡀ㸪250 W/cm2 ௜㏆࡛᢬ᢠ್ࡀᛴ⃭࡟ୖ᪼ࡋ࡚࠸ࡿ㸬ࡇࢀࡣ㸪ࢧ࣮࣐ࣝࢢ
࣮ࣜࢫࡀ⵨Ⓨࡋࡓࡇ࡜࡛ࡑࡢయ✚ࡀῶᑡࡋ㸪ෆ㒊࡟✵㝽ࡀⓎ⏕ࡋࡓࡓࡵ࡟⇕᢬ᢠࡀୖ᪼ࡋࡓ࡜⪃࠼ࡽࢀࡿ㸬ᮏヨ㦂ࡢ┿ᐇ᥋ゐ㠃✚ࡢ๭ྜࡣ㸪TIM ࢆ౑⏝ࡏࡎ᥋ゐᅽຊࢆ 0.33 MPa ࡜ࡋࡓሙྜࡢ⇕᢬ᢠ್ࡀ㧗࠸ࡇ࡜࠿ࡽ㸪㠀ᖖ࡟ᑡ࡞࠸ࡇ࡜ࡀண᝿ࡉ
ࢀࡿ㸬ࡑࡢࡓࡵ㸪⇕⤒㊰ࡢ࡯࡜ࢇ࡝ࡀࢧ࣮࣐ࣝࢢ
࣮ࣜࢫࢆ௓ࡋࡓ⇕ఏᑟ࡜࡞ࡾ㸪⇕ὶ᮰ࡢୖ᪼࡟క
࠸ࢧ࣮࣐ࣝࢢ࣮ࣜࢫෆ࡟✵㝽ࡀ⏕ࡌጞࡵࡓࡇ࡜࡛
ᛴ⃭࡟⇕᢬ᢠࡀୖ᪼ࡍࡿࡇ࡜ࡀ⪃࠼ࡽࢀࡿ㸬୍᪉ࡢ᥋ゐ㠃ᅽຊࡀ㧗࠸ሙྜࡣ㸪ప࠸ሙྜ࡜ẚ㍑ࡋ࡚┿ᐇ᥋ゐ㠃✚ࡀከࡃ㸪┿ᐇ᥋ゐ㒊ࢆ⇕⤒㊰࡜ࡍࡿ⟠ᡤࡶከࡃ࡞ࡿ㸬ࡑࡢࡓࡵ㸪ࢧ࣮࣐ࣝࢢ࣮ࣜࢫࡢ
⵨Ⓨ࡟క࠺✵㝽ࡢⓎ⏕ࡶ㸪⇕᢬ᢠ್࡜ࡋ࡚ࡣ኱ࡁ
ࡃ⌧ࢀ࡞࠸࡜⪃࠼ࡽࢀࡿ㸬௨ୖࡢࡇ࡜࠿ࡽ㸪ᚑ᮶ရࡢࢧ࣮࣐ࣝࢢ࣮ࣜࢫࡢሙྜࡣ㸪㧗 ࣭㧗⇕ὶ᮰࡛౑⏝ࡍࡿሙྜ࡟㸪⵨Ⓨ࡟ࡼࡾ⇕᢬ᢠࡀᛴ⃭࡟㧗ࡃ࡞ࡿྍ⬟ᛶࡀ࠶ࡾ㸪㛗ᮇ㛫ࡢ౑⏝ࡀᅔ㞴࡛࠶ࡿ࡜♧၀ࡉࢀࡿ㸬⾲ 1 ᐇ㦂᮲௳ᐃᖖἲ㸦࡞ࡋ㸧ࢧ࣮࣐ࣝࢢ࣮ࣜࢫ
⇕ఏᑟࢤࣝ
㖡࣮࣌ࢫࢺ
ࡣࢇࡔ
㖟࣮࣌ࢫࢺ

TIM ⪏⇕

ᗘ / ࣄ࣮ࢱ⪏⇕ᗘ ホ౯᪉ἲᅗ 2 ࡟♧ࡍࡼ࠺࡟㸪ຍ⇕ഃ࠾ࡼࡧ෭༷ഃࡢྛ 4
Ⅼࡢ ᗘࢆ ᐃࡋ㸪ࡇࢀࡽࡢ ᗘࢆእᤄࡍࡿࡇ࡜࡛㧗 ഃࡢఏ⇕㠃 ᗘ TH (oC)࠾ࡼࡧప ഃࡢఏ⇕㠃 ᗘ TL (oC)ࢆ⟬ฟࡍࡿ㸬ࡇࢀࡽࡢ ᗘᕪࢆ(1)ᘧ࡟⾲ࡍࡼ࠺࡟ఏ⇕㠃㛫 ᗘᕪ'T (oC)࡜ࡍࡿ㸬(1)
ࡲࡓ㸪ィ ࡋࡓ ᗘ࠿ࡽຍ⇕ഃࡢ⇕ὶ᮰ qH(W/cm2)࠾ࡼࡧ෭༷ഃࡢ⇕ὶ᮰ qL (W/cm2)ࢆ(2)ᘧ
࡟♧ࡍࣇ࣮࢚ࣜࡢἲ๎࠿ࡽồࡵࡿ㸬
(2)ࡇࡇ࡛㸪Oࡣ㖡ࣈࣟࢵࢡࡢ⇕ఏᑟ⋡(W/(m࣭K))㸪
x ࡣ ᗘ ᐃ఩⨨ࡢ㊥㞳 (m)ࢆ♧ࡋ࡚࠸ࡿ㸬TIM㒊ࡢ⇕᢬ᢠ R (K/W)ࡣ㸪(3)ᘧ࠿ࡽồࡵࡿ㸬(3)ᮏヨ㦂࡟࠾࠸࡚㸪⇕᢬ᢠࡢホ౯࡛ᇶ‽࡜ࡍࡿ⇕ὶ᮰ࡣ㸪ຍ⇕ഃ࠾ࡼࡧ෭༷ഃࡢ⇕ὶ᮰ࢆᖹᆒࡋࡓ
qave (W/cm2)࡜ࡍࡿ㸬᩿㠃✚ A (cm2) ࡣఏ⇕㠃ࡢ㠃
✚࡛࠶ࡿ㸬

2

㸱㸬ᐇ㦂ᴫせ 7,0 ࡞ࡋ࡜ࢧ࣮࣐ࣝࢢ࣮ࣜࢫࡢẚ㍑
 ᅗ 4 ࡟㸪ఏ⇕㠃ࡢ᥋ゐ㒊࡟ TIM ࢆ౑⏝ࡋ࡞࠸ሙྜ࡜㸪ᚑ᮶౑⏝ࡉࢀ࡚࠸ࡿࢧ࣮࣐ࣝࢢ࣮ࣜࢫࢆᣳ
ࡳ㎸ࢇࡔሙྜࡢ⇕᢬ᢠࢆ♧ࡍ㸬[8] TIM ࡞ࡋࡢ᥋ゐᅽຊࡀ 0.33 MPa ࡢሙྜ࡟࠾࠸࡚㸪㠀ᖖ࡟㧗࠸⇕᢬ᢠࢆ♧ࡋࡓ㸬⇕ὶ᮰ࡢୖ᪼࡟క࠸⇕᢬ᢠࡀῶᑡࡍ
ࡿࡀ㸪ࡇࢀࡣ✵Ẽࡢ ᗘୖ᪼࡟క࠸⇕ఏᑟ⋡ࡀୖ᪼ࡋࡓࡇ࡜ࡸ㸪㖡ࣈࣟࢵࢡࡢ⇕⭾ᙇ࡟ࡼࡾ┿ᐇ᥋ゐ㠃✚ࡀቑຍࡋࡓࡇ࡜ࡀཎᅉ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿ㸬ࡲࡓ㸪᥋ゐ㠃ᅽຊࡢቑຍ࡟క࠸⇕᢬ᢠࡣῶᑡࡍࡿ

ఏ⇕ 2020 ᖺ 1 ᭶- 16 -

Thermal resistance [K/W]⇕᢬ᢠ

w/o TIM Pc=0.33 MPa
w/o TIM Pc=1.71 MPa
w/o TIM Pc=3.08 MPa
Thermal Greece Pc=0.33 MPa
Thermal Greece Pc=1.71 MPa
Thermal Greece Pc=3.08 MPa

1

0

100

200

300

400
2

Heat flux [W/cm ]500

ᅗ 4 TIM ⇕ὶ᮰࡜⇕᢬ᢠࡢ㛵ಀ
㸦TIM ࡞ࡋ࡜ࢧ࣮࣐ࣝࢢ࣮ࣜࢫሬᕸࡢẚ㍑㸧

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫᭱ࡶ⇕᢬ᢠࡀప࠸ࡣࢇࡔࡣ㸪⇕ὶ᮰ࡢୖ᪼࡟క
ࡗ࡚⇕᢬ᢠࡀⱝᖸୖ᪼ࡋ࡚࠸ࡿࡀ㸪௚ࡢ TIM ࡟ẚ࡭ࡿ࡜ᴟࢃࡎ࠿࡞ኚ໬࡛㸪࡯ࡰ୍ᐃࡢ⇕᢬ᢠࢆಖࡗ࡚࠸ࡿ㸬ࡇࡢ᢬ᢠࡢୖ᪼ࡣ㸪ࡣࢇࡔࡢ ᗘୖ᪼࡟ࡼࡿ⇕ఏᑟ⋡ࡢపୗࡀཎᅉ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿ㸬ࡣࢇࡔࡢ⇕᢬ᢠ ᐃヨ㦂ࡣ㸪ࡣࢇࡔࡀ⪏⇕ ᗘࢆ㏄࠼ࡓࡓࡵヨ㦂ࢆ⤊஢ࡋࡓࡀ㸪450 W/cm2 ࡲ࡛฿㐩ࡋ࡚࠸ࡿ㸬ࡋ࠿ࡋ㸪ࡣࢇࡔࡢ⪏⇕ ᗘࡣ㸪ḟୡ௦༙ᑟయࡢ㥑ື᭱኱ ᗘ࡜ࡉࢀࡿ 250 Υ࡜ྠ➼࠿ࡑࢀ௨ୗ࡜࡞ࡿࡓࡵ࡟⪏⇕ᛶ࡟ㄢ㢟ࡀṧࡿ㸬 ᚑ᮶ရࡢ 7,0 ࡟࠾ࡅࡿ⇕᢬ᢠࡢẚ㍑
ᅗ 5 ࡟㸪ᚑ᮶ရࡢ TIM ࡛࠶ࡿ 4 ✀ࢆ᥇⏝ࡋࡓሙྜࡢ⇕ὶ᮰࡜⇕᢬ᢠࡢ㛵ಀࢆ♧ࡍ㸬[8] ࡇࡢ୰࡛㸪᭱ࡶ⇕᢬ᢠࡀ኱ࡁ࠸ࡢࡣ⇕ఏᑟࢤ࡛ࣝ࠶ࡿ㸬⇕ఏᑟࢤࣝࡣࢧ࣮࣐ࣝࢢ࣮ࣜࢫ࡟ᑐࡋ࡚⇕ఏᑟ⋡ࡀ㧗࠸ࡶࡢࡢ㸪ࡕࡻ࠺ᗘࡣ 1/6 ௨ୗ࡜ᑠࡉࡃ㸪ྠࡌ᥋ゐᅽຊࢆ༳ຍࡋࡓሙྜࡢ TIM ࡢཌࡳࡣ⇕ఏᑟࢤࣝࡀཌࡃ࡞ࡿ࡜ண᝿ࡉࢀ㸪ࡑࡢཌࡳ࡟ࡼࡾ኱ࡁ࡞
⇕᢬ᢠࢆ♧ࡋࡓྍ⬟ᛶࡀ࠶ࡿ㸬ࡲࡓ㸪⇕ఏᑟࢤࣝࡣప⇕ὶ᮰࠿ࡽ⇕ὶ᮰ࡢୖ᪼࡟క࠺⇕᢬ᢠࡢୖ᪼
ࡀ㢧ⴭ࡛࠶ࡿ㸬⪏⇕ ᗘࡢ᭱ࡶప࠸⇕ఏᑟࢤࣝࡣ
ప⇕ὶ᮰࠿ࡽ⵨Ⓨࢆ㛤ጞࡋ㸪✵㝽ࡀⓎ⏕ࡋࡸࡍ࠸ࡇ࡜ࡀ⪃࠼ࡽࢀࡿ㸬ḟ࡟⇕᢬ᢠࡢ㧗࠸ TIM ࡣ㖡࣮࣌ࢫࢺ࡛࠶ࡿ㸬≉࡟᥋ゐᅽຊࡀప࠸᮲௳ୗ࡛㸪⇕ὶ᮰ࡢୖ᪼࡟క࠺
⇕᢬ᢠࡢୖ᪼ࡀ㢧ⴭ࡛࠶ࡿࡇ࡜ࡀࢃ࠿ࡿ㸬㖡࣮࣌ࢫࢺࡣᶞ⬡୰࡟㖡⢏Ꮚࡀῧຍࡉࢀ࡚࠸ࡿࡓࡵ㸪᥋ゐᅽຊࡀ኱ࡁ࠸ሙྜ࡟ࡣఏ⇕㠃㛫㊥㞳ࡀ▷ࡃ࡞ࡾ⢏Ꮚࡀ㐃࡞ࡿࡇ࡜࡛ఏ⇕㠃㛫ࢆ⧅ࡄሙྜࡀ࠶ࡿ
㸦ᅗ 6㸦a㸧㸧㸬ࡇࡢሙྜ㸪ᶞ⬡ࡀ⵨Ⓨࡋ࡚✵㝽ࢆⓎ⏕ࡋࡓሙྜࡶ㸪ࣃࢫࡀ୺࡞⇕⤒㊰࡜࡞ࡾᚓࡿࡀ㸪ᅽຊࡀప࠸ሙྜ࡟ࡣ㸪⢏Ꮚࡢ㐃⤖࡟ࡼࡾఏ⇕㠃㛫ࢆᶫΏࡋࡍࡿྍ⬟ᛶࡣపࡃ㸦ᅗ 6㸦b㸧㸧㸪⇕ὶ᮰ࡢ
ୖ᪼࡟క࠺✵㝽ࡢⓎ⏕ࡣ⇕᢬ᢠࡢୖ᪼ࡢཎᅉ࡜࡞
ࡿ㸬

Solder Pc=0.33 MPa
Solder Pc=1.71 MPa
Solder Pc=3.08 MPa
Thermal Greece Pc=0.33 MPa
Thermal Greece Pc=1.71 MPa
Thermal Greece Pc=3.08 MPa
Cu Paste Pc=0.33 MPa
Cu Paste Pc=1.71 MPa
Cu Paste Pc=3.08 MPa
Thermal Gel Pc=0.33 MPa
Thermal Gel Pc=1.71 MPa
Thermal Gel Pc=3.08 MP

1

0.5

0

100

200

300

400

Heat flux [W/cm2]

0.1

Thermal resistance [K/W]

Thermal resistance [K/W]

1.5 ࡣࢇࡔ࡜㖟࣮࣌ࢫࢺ࡟࠾ࡅࡿ⇕᢬ᢠࡢẚ㍑
 ᅗ 7 ࡟ḟୡ௦༙ᑟయᑐᛂࡢ TIM ࡜ࡋ࡚ᮇᚅࡉࢀ
ࡿ㧗⪏⇕ᮦᩱࡢ㖟࣮࣌ࢫࢺࡢ⤖ᯝࢆ♧ࡍ㸬[9] 㖟࣮࣌ࢫࢺࡣ⇕ὶ᮰ࡢୖ᪼࡟క࠸⣙ 200 W/cm2 ࡲ࡛ࡣ⇕᢬ᢠࡢୖ᪼ࡀぢࡽࢀ㸪⣙ 300 W/cm2 ࢆ௨ୖࡢ⇕ὶ᮰࡛ࡣ⇕᢬ᢠࡀపῶࡍࡿ࡜࠸࠺≉ᚩⓗ࡞⤖ᯝࢆ♧ࡋࡓ㸬㖟࣮࣌ࢫࢺ࡟ࡘ࠸࡚ࡣ๓㏙ࡢ㏻ࡾ㸪࣮࣌ࢫࢺ≧ែ࠿ࡽᅛ┦࡟ࡍࡿࡓࡵヨ㦂๓࡟ຍ⇕ࡋ࡚࠸ࡿࡀ㸪ᮏᐇ㦂⿦⨨ࡢI 10 mm ࡢ෇ᙧఏ⇕㠃࡟ᣳࡳ㎸ࢇࡔ≧ែ࡛ຍ⇕ࢆ⾜࡞ࡗࡓࡓࡵ㸪◳໬ࡉࡏࡿᕤ⛬࡟࠾࠸࡚㖟࣮࣌ࢫࢺ୰ࡢ⁐๣ࡀ᏶඲࡟⵨Ⓨࡋ࡞࠿ࡗࡓࡇ࡜ࡀせᅉ࡜ࡋ࡚⪃࠼ࡽࢀࡿ㸬200 W/cm2
ࡲ࡛ࡣ⁐๣ࡀᚎࠎ࡟⵨Ⓨࡋ㸪✵㝽ࡀⓎ⏕ࡋጞࡵࡓࡓࡵ᢬ᢠࡀୖ᪼ࡋࡓ࡜⪃࠼ࡽࢀࡿ㸬300 W/cm2 ࢆ㉸࠼ࡿ࡜㖟⢏Ꮚࡀ㧗 ࡟฿㐩ࡋࡓࡇ࡜࡛㌾໬ࢆࡣࡌࡵ㸪⢏Ꮚྠኈࡢ᥋ゐ㠃✚ࡀቑ኱ࡋࡓࡇ࡜ࡸ↝⤖ࢆ㛤ጞࡋࡓࡇ࡜࡛᢬ᢠࡀᛴ⃭࡟పୗࡋࡓ࡜ண᝿ࡉ
ࢀࡿ㸬ࡑࡢࡓࡵ㸪㧗⇕ὶ᮰᫬࡟ࡣࡣࢇࡔ࡜ྠ➼ࡢ⇕᢬ᢠࡲ࡛పῶࡉࢀࡓ࡜⪃࠼ࡽࢀࡿ㸬500

ᅗ 5 TIM ⇕ὶ᮰࡜⇕᢬ᢠࡢ㛵ಀ㸦ࢢ࣮ࣜࢫ࣭⇕ఏᑟࢤ࣭ࣝࡣࢇࡔ࣭㖡࣮࣌ࢫࢺ㸧

SolderAgPaste

0.08
0.06
0.04
0.02
0

100 200 300 400 500 600

Heat flux [W/cm2](a) ▷࠸ሙྜ     (b)ሙྜ
ᅗ 6 ᥋ゐ㠃㛫㊥㞳࡜ࣃ࣮ࢥ࣮ࣞࢩࣙࣥ

ఏ⇕ 2020 ᖺ 1 ᭶

ᅗ 7 TIM ⇕ὶ᮰࡜⇕᢬ᢠࡢ㛵ಀ㸦ࡣࢇࡔ࣭㖟࣮࣌ࢫࢺ㸪᥋ゐᅽຊ Pc = 1.71 MPa㸧

- 17 -J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫㸱㸬ࡲ࡜ࡵ ᮏ◊✲࡛ࡣ㸪ప᥋ゐᅽຊ࠿ࡘ㧗⇕ὶ᮰⎔ቃୗ࡟࠾࠸࡚㸪ᚑ᮶ရࢆྵࡵḟୡ௦༙ᑟయᑐᛂ࡜ࡋ࡚ᮇ
ᚅࡉࢀ࡚࠸ࡿ TIM ࡛࠶ࡿ㖟࣮࣌ࢫࢺࢆ㐺⏝ࡋࡓሙྜࡢ᥋ゐ⇕᢬ᢠࡢపῶຠᯝ࡟ࡘ࠸࡚ホ౯ࡋࡓ㸬ࡇࡢ⤖ᯝ㸪᭱ࡶ㧗࠸⇕᢬ᢠపῶຠᯝࢆ♧ࡋࡓࡢࡣࡣࢇࡔ࡛࠶ࡿࡀ㸪⪏⇕ᛶࡢၥ㢟࠿ࡽḟୡ௦༙ᑟయ
࡬ࡢ౑⏝ࡣ㞴ࡋ࠸㸬ḟ࡟ຠᯝࢆ♧ࡋࡓࡢࡣ㖟࣮࣌ࢫࢺ࡛࠶ࡾ㸪᏶඲࡟㖟⢏Ꮚࢆ↝⤖ࡉࡏࡿࡇ࡜ࡀྍ
⬟࡛࠶ࢀࡤ㸪ࡣࢇࡔ௨ୖࡢ⇕᢬ᢠపῶຠᯝࢆ♧ࡍྍ⬟ᛶࡣ࠶ࡾ㸪ḟୡ௦༙ᑟయࡢ TIM ࡜ࡋ࡚ᮇᚅ࡛
ࡁࡿ㸬ࡓࡔࡋᮏヨ㦂ࡢࡼ࠺࡟㸪ఏ⇕㠃ࡀȭ10 mmࡢࡼ࠺࡟ᗈ࠸ሙྜࡣ㖟࣮࣌ࢫࢺ࡟ྵࡲࢀࡿ⁐๣ࢆ
༑ศ࡟⵨Ⓨࡉࡏ㸪㖟⢏Ꮚࢆ↝⤖ࡉࡏ࡞ࡅࢀࡤᩘಸ
ࡶࡢ⇕᢬ᢠࢆ♧ࡍྍ⬟ᛶࡀ࠶ࡿ㸬ࡑࡢࡓࡵ㸪౑⏝ࡍࡿ㠃✚࡟ᛂࡌ࡚༑ศ࡟⁐๣ࢆ⵨Ⓨࡉࡏࡿࡓࡵࡢ
ຍ⇕ࢆ⾜ࢃ࡞ࡅࢀࡤ࠸ࡅ࡞࠸㸬ᮏ✏࡛ヨ㦂ᑐ㇟࡜ࡋࡓ TIM ࡟࠾࠸࡚㸪ప᥋ゐᅽຊ࣭㧗⇕ὶ᮰࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠపῶຠᯝࢆᚓࡿࡓࡵ࡟ࡣ㸪㧗 ᫬ࡢ
TIM ࡢ⵨Ⓨ࡟ࡼࡿ✵㝽Ⓨ⏕ࡀ㔜せ࡛࠶ࡿ࡜ゝ࠼ࡿ㸬ཧ⪃ᩥ⊩[1] ⤖ᇛ࿴ஂ㸪ḟୡ௦㌴㍕⏝ SiC ࣃ࣮༙࣡ᑟయࡢ
ࢡ࣮ࣜࣥࢢᢏ⾡㸪࢚ࣞࢡࢺࣟࢽࢡࢫᐇ⿦Ꮫ఍
ㄅ㸪18-2 (2015) 94.
[2] ⤖ᇛ࿴ஂ㸪㧗Ⓨ⇕ᐦᗘࣃ࣮࢚࣡ࣞࢡࢺࣟࢽࢡ
ࢫࡢἛ㦐ᾐₕ෭༷㸪࢚ࣞࢡࢺࣟࢽࢡࢫᐇ⿦Ꮫ

ఏ⇕ 2020 ᖺ 1 ᭶- 18 -

఍ㄅ㸪21-2 (2018) 122.
[3] T. Tomimura 㸪 Experimental Study of Filler
Insertion Effect on Mean Thermal Contact
Conductance㸪JSME International Journal, Series
B, 47-3 (2004) 447.
[4] 㫽ᒃ⸅㸪⾲㠃ᚤ⣽ᵓ㐀࡟ᨭ㓄ࡉࢀࡿಶయ᥋ゐఏ⇕࣐̾ࢡࣟ࡜࣑ࢡࣟࡢ᥋Ⅼ̾㸪᪥ᮏᶵᲔᏛ఍
ㄅ㸪96-892 (1993) 198.
[5] ᐩᮧᑑኵ㸪㔝ᮧᚁ∞㸪ዟᒣṇ᫂㸪᥋ゐ⇕᢬ᢠࡢపῶ࡟ཬࡰࡍࢢ࣮ࣜࢫሬᕸຠᯝ㸦పᖹᆒ᥋ゐᅽຊୗ࡛ࡢ ᐃ⤖ᯝ㸧㸪᪥ᮏᶵᲔᏛ఍ 2006ᖺᗘᖺḟ኱఍බ₇ㄽᩥ㞟㸪(2006) 197.
[6] ᶲ⸨㞝, ᥋ゐ㠃ࡢ⇕᢬ᢠ࡟㛵ࡍࡿ◊✲㸪᪥ᮏᶵᲔᏛ఍ㄅ㸪55-397 (1952) 102㸬[7] బ㔝ᕝẕዲ, 㔠ᒓ᥋ゐ㠃࡟࠾ࡅࡿఏ⇕࡟㛵ࡍࡿ◊✲: ➨ 4 ሗ, ᥋ゐ㠃ࡢ⾲㠃࠶ࡽࡉࡢᙧ
≧࣭࠺ࡡࡾࡢᙳ㡪࡜᥋ゐ⇕᢬ᢠࡢ㏆ఝィ⟬ἲ㸪᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟㸪33-251 (1967) 1131㸬
[8] ᮌఅ⌮ἋᏊ㸪⤖ᇛගᖹ㸪⤖ᇛ࿴ஂ㸪ᾏ㔝ᚫᖾ㸪㧗Ⓨ⇕ᶵჾࡢ⇕᢬ᢠపῶ࡟㛵ࡍࡿ◊✲㸪᪥ᮏᶵᲔᏛ఍ 2017 ᖺᗘᖺḟ኱఍බ₇ㄽᩥ㞟㸪(2017) J0330102㸬
[9] ୹⩚ຬᩯ㸪ᮌఅ⌮ἋᏊ㸪⤖ᇛ࿴ஂ㸪ᾏ㔝ᚫᖾ㸪㧗Ⓨ⇕ᐦᗘ⎔ቃ࡟࠾ࡅࡿ㖟࣮࣌ࢫࢺࡢ᥋ゐ⇕᢬ᢠホ౯㸪᪥ᮏᶵᲔᏛ఍ 2019 ᖺᗘᖺḟ኱఍බ
₇ㄽᩥ㞟㸪(2019) J01104P29㸬

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫㟁Ꮚᶵჾ࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠࡢపῶᢏ⾡Technique for Reducing Thermal Contact Resistance of Electronic Control Unit⠛⏣ ༟ஓ㸦ᰴᘧ఍♫ࢹࣥࢯ࣮㸧㸪Ᏻ஭ 㱟ኴ㸦ᰴᘧ఍♫࣓࢖ࢸࢵࢡ㸧
Takuya SHINODA (DENSO CORPORATION), Ryuta YASUI (MEITEC CORPORATION)
e-mail: takuya.shinoda.j3w@jp.denso.com㸯㸬ࡣࡌࡵ࡟
ࢥࣥࣆ࣮ࣗࢱࡢ⇕タィࡣ㸪CAE ࢆ฼⏝ࡋࡓఏ⇕ゎᯒࡀࡈከศ࡟₃ࢀࡎ┒ࢇ࡛࠶ࡿ.ࡇࡢࡼ࠺࡞௬᝿
ᢏ⾡ࡢⓎᒎ࡟ࡼࡗ࡚㸪ᐇ㦂᳨ド࡟ࡼࡿࢺࣛ࢖㸤࢚࣮ࣛࡣ㠀ᖖ࡟ᑡ࡞ࡃ࡞ࡗ࡚ࡁࡓ㸬
10 ᩘᖺ๓ࡲ࡛ࡣ㸪㟁Ꮚ㒊ရࡀᦚ㍕ࡉࢀ࡚࠸ࡿࣉ
ࣜࣥࢺᇶᯈୖࡢ⇕ゎᯒࡣ㸪୺せ࡞Ⓨ⇕㒊ရࢆ኱㞧ᢕ࡟ࢧࣛࢵ࡜⨨ࡁ㸪኱యࡢ ᗘศᕸࢆࢳ࢙ࢵࢡࡍࡿ⛬ᗘ࡛࠶ࡗࡓ㸬㒊ရࡢࣔࢹࣝࡢከࡃࡣ㸪3D ࡢ❧᪉య࡛⇕ఏᑟࢆ➼౯࡟ࡋࡓ୍⯡ⓗ࡟ゝࢃࢀࡿ 1 ࣈࣟࢵࢡࣔࢹ࡛ࣝ࠶ࡿ㸬㡹ᙇࡗ࡚⇕ఏᑟ⋡ࡢ␗࡞ࡿ㔠ᒓ㒊ศ࡜ᶞ⬡㒊ศ࡟ศࡅࡓ 2 ࣈࣟࢵࢡࣔࢹ࡛ࣝゎᯒࡍࡿࡃࡽ࠸࡛࠶ࡗࡓ㸬ࡑࢀࡀ㸪㟁Ꮚ㒊ရ࡟࠾ࡅࡿෆ㒊ᵓ㐀ࡢ㧗ヲ⣽ᗘࣔࢹࣝࡀⓏሙࡋ࡚ࡁࡓ㸬༙ᑟయ ICࡢ୍␒ ᗘࡀ㧗࠸ࢳࢵࣉ ᗘ㸦ࢪࣕࣥࢡࢩࣙࣥ ᗘ㸧ࢆ☜ᗘ㧗ࡃィ⟬ࡍࡿ᫬௦࡟࡞ࡗ࡚ࡁࡓࡢ࡛࠶ࡿ㸬ࡇࢀࡣࢯࣇࢺ࢙࢘࢔ࡸࣃࢯࢥࣥ⬟ຊࡢⓎ㐩ࡀ኱ࡁ࠸㸬ࡑࡢࡓࡵ㸪⌧ᅾࡣ㸪ᩘⓒࡢ㟁Ꮚ㒊ရࣔࢹࣝࢆ㍕ࡏࡓࣉࣜࣥࢺᇶᯈ࡛㸪ࡋ࠿ࡶࡑࢀࢆᅖ࠺⟂యࣔࢹࣝࡶヲ⣽࡞ 3D ࢹ࣮ࢱ࡛ࡢィ⟬࡛࠶ࡿ㸬ࡓࡔࡋ㸪⡆༢࡟ᐇ㦂࡜ゎᯒࡢᩘ್ࡀ୍⮴ࡍࡿࢃࡅ࡛ࡣ࡞࠸㸬⇕ゎᯒࣔࢹࣝࡢ⢭ᗘࡣ㸪ධຊ್ࡢ⢭ᗘ࡜ゝ࠸᥮࠼ࡽࢀࡿࡃࡽ
࠸࡛࠶ࡿ㸬ࡔࡀ㸪ࡲ࠵࠸࠸࠿࡜㸪ධຊ್ࡣ௦⾲್ࢆ฼⏝ࡍࡿ࡞࡝㸪࠶ࡲࡾ᰿ᣐࢆᣢࡓ࡞࠸ᩘ್ࢆ⏝࠸ࡿ࢚ࣥࢪࢽ࢔ࡣᑡ࡞ࡃ࡞࠸㸬ᐇࡣࡶࡗ࡜࢚ࣥࢪࢽ࢔ࢆᝎࡲࡍࡢࡀ㸪᥋ゐ⇕᢬ᢠ࡛࠶ࡿ㸬3D ࢆసᡂࡋ࡚࢔ࢭࣥࣈࣜࡍࡿࡀ㸪⌮᝿㏻ࡾࡢᑍἲ࡛᭩࠿ࢀࡓ 3D ࡣᙜ↛ࡢࡈ࡜ࡃ㸪᥋ゐ㠃ࡀࣆࢱࢵ࡜᥋ゐࡍࡿ㸬ᨺ⇕ᛶ⬟ࡀࡍࡇࡪࡿ࠸࠸᪉ྥ࡟
࡞ࡗ࡚㸪タィࡢᏳ඲⋡ࡀୗࡀࡿࡢ࡛ࡣ࡜ᚰ㓄ࢆࡋ࡚ࡋࡲ࠺㸬⇕ࡢ▱㆑ࡀ࡞࠸࢚ࣥࢪࢽ࢔࡛ࡶ,ࡑࡇࡑࡇ
ឤ࡙ࡃࡢࡔ㸬᥋ゐ⇕᢬ᢠ್ࡣ࠸ࡃࡽ࡞ࡢࡔࢁ࠺࠿࡜
࡞ࢇ࡜࡞ࡃ㸪▱ࡾࡓࡃ࡞ࡗ࡚ࡃࡿ࢚ࣥࢪࢽ࢔ࡶฟ࡚
ࡃࡿࢃࡅࡔ㸬ఏ⇕ 2020 ᖺ 1 ᭶

㸰㸬㌴㍕㟁Ꮚ〇ရ⇕タィࡢ࣑ࢯ 㟁Ꮚᶵჾࡢᨺ⇕ㄢ㢟⮬ື㌴࡟࡜ࡗ࡚⇕ࡢၥ㢟ࡣ㔜せ࡞ㄢ㢟ࡢ୍ࡘ࡛࠶ࡿ㸬㟁Ꮚᶵჾࢆ㓄⨨ࡍࡿ࢚ࣥࢪ࣮࣒ࣥࣝࡣ
100 Υ ௨ ୖ ࡟ ࡞ ࡾ 㸪 ࡑ ࡢ ୰ ࡛ 㟁 Ꮚ ไ ᚚ ⿦ ⨨㸦Electronic Control Unit㸦௨ୗ ECU㸧㸧ࡣ㧗㏿࡞㟁Ꮚไᚚ࡟ࡼࡿ㐠㌿㺃㉮⾜ᛶ⬟ࡢ㸪⦓ᐦ࡞ࢥࣥࢺ࣮ࣟࣝ
ࢆồࡵࡽࢀ࡚࠸ࡿ㸬
ECU ➼ࡢ㟁Ꮚᶵჾࡢᨺ⇕ᡭẁ࡜ࡋ࡚㸪௦⾲ⓗ࡞ᢏ⾡࡟ࣉࣜࣥࢺᇶᯈ࡟ᐇ⿦ࡉࢀࡓ㟁Ꮚ㒊ရࡢⓎ⇕ࢆ㸪⟂యࢆ௓ࡋ࡚ ECU ࢆᨭᣢࡍࡿࣈࣛࢣࢵࢺࡸ⮬ື㌴࣎ࢹ࢕㸪ࡑࡋ࡚✵Ẽ࡬࡜⇕ఏᑟ࡛ᨺ⇕ࡍࡿᢏ⾡ࡀ࠶ࡿ㸬ࡋ࠿ࡋ㸪ࡇࢀࡽࡢ㒊ရࢆ᥋⥆ࡍࡿ⟠ᡤࡣ㸪㔠ᒓྠኈࡀከࡃ㸪ࡡࡌ࡛⥾ࡵ࡚ࡶ㸪ᑡࡋࡤ࠿ࡾ✵Ẽࢆ㛫࡟ᣳࢇ࡛࠸ࡿ㸬ࡇࡢࡼ࠺࡞⇕᢬ᢠࢆ᥋ゐ⇕᢬ᢠ࡜࠸࠺㸬᥋ゐ⇕᢬ᢠ࡬ࡢ⇕ᑐ⟇ࡢ୰᰾ࢆ࡞ࡍࡢࡀ㸪TIM ᮦ㸦Thermal Interface Material㸧࡜࿧ࡤࢀࡿࢤࣝ➼ࡢᨺ⇕ᮦ࡛࠶ࡿ㸬౛࠼ࡤࣉࣜࣥࢺᇶᯈ࡜⟂యࢆ᥋ゐࡉࡏ࡚࠸ࡿ㒊ศ࡟ᨺ⇕ᮦࢆᣳࡴࡇ࡜࡛㸪ഹ࠿࡟⏕ࡌࡿ㝽㛫࡟Ꮡᅾࡍࡿ⇕ࡀఏࢃࡾ࡟ࡃ࠸✵Ẽࡀ㸪⇕ࡀఏࢃࡾࡸࡍ࠸ᨺ⇕ᮦ࡟⨨ࡁ᥮ࢃࡾ㸪⇕᢬ᢠࡀపࡃ࡞ࡿ㸬ᨺ⇕ᮦࢆ฼⏝ࡍࡿ࡜㸪Ⓨ⇕㔞࡟ࡼࡿࡀ༙ᑟయࡢ ᗘࡣ
10㹼30Υ⛬ᗘపࡃ࡞ࡿ㸬≉࡟ᒁᡤⓗ࡟Ⓨ⇕ࡍࡿࡼ࠺࡞༙ᑟయࡢᨺ⇕タィࢆࡍࡿ࡜ࡁ㸪᥋ゐ⇕᢬ᢠࡀ኱஦
࡜ࢃ࠿ࡿ▐㛫࡛࠶ࡿ㸬ᮏᙜ࡟ຓ࠿ࡿ㸬࡞ࡽ㸪Ẽ࡟࡞ࡿࡍ࡭࡚ࡢ᥋ゐ㒊࡟ሬᕸࡍࢀࡤ࠸࠸
࡛ࡣ࡞࠸࠿࡜ᛮ࠺࠿ࡶࡋࢀ࡞࠸㸬ᙜ↛㸪ࢥࢫࢺࡢ᥇
⟬ࡀྜࢃ࡞ࡃ࡞ࡿࡢ࡛࠶ࡿ㸬ಙ㢗ᛶࡢほⅬ࠿ࡽぢ࡚ࡳࡼ࠺㸬୍⯡ⓗ࡞ရ㉁ಖドࡢ ᗘୖ㝈ࡣ㸪ࣉࣜࣥࢺᇶᯈ࡛ࡣ 130Υ๓ᚋ࡛㸪༙
ᑟయࡣ 150Υ๓ᚋࡢ㝈⏺ࡀከ࠸㸬ࣃࢯࢥࣥࡸࢸࣞࣅ
࡞࡝ࡢᐙ㟁〇ရࡣ㸪ᐊෆࡢ⣙ 25Υ⎔ቃ࡛౑⏝ࡉࢀࡿࡓࡵ㸪ࣉࣜࣥࢺᇶᯈ࡛⣙ 100Υ㸪༙ᑟయ࡛⣙ 120Υࡢ ᗘవ⿱ᗘࡀ࠶ࡿ㸬୍᪉࡛㸪๓㏙ࡢࡼ࠺࡟⮬ື㌴ࡢ࢚ࣥࢪ࣮࣒ࣥࣝࡣ⣙ 100Υ࡛࠶ࡿࡓࡵవ⿱ࡀᑡ

- 19 -J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫࡞࠸㸬〇ရᑑ࿨➼ࡢಙ㢗ᛶࢆᦆ࡞ࢃ࡞࠸ࡓࡵ࡟㸪࡞ࡿ࡭ࡃ ᗘୖ᪼ࢆపῶࡍࡿᚲせࡀ࠶ࡿ㸬ECU ࡢᨺ⇕ᙧែ࡜ࡋ࡚㸪⟂య࠿ࡽࡢࡩࡃᑕ㸪✵Ẽ࡬ࡢᑐὶ⇕ఏ㐩㸪㒊ရ㛫ࡢ⇕ఏᑟࡀᣲࡆࡽࢀࡿ㸬ᑐὶᨺ⇕ࡣຠᯝⓗ࡛࠶ࡿࡀ㸪ᑐὶࢆᐃ㔞ⓗ࡟௻ᴗ㛫ࡢせồ௙ᵝ࡟ࡍࡿࡇ࡜ࡣ ᐃㄗᕪࡀᩘ༑ࣃ࣮ࢭࣥࢺ࠶ࡿࡓࡵ㸪᥇⏝ࡋ࡟ࡃ࠸㸬ࡩࡃᑕ࡟ࡼࡿᨺ⇕ࡶࡶࡕࢁࢇᮇᚅ࡛ࡁ
ࡿࡀ㸪⟂యࡢ㯮Ⰽ໬ࡃࡽ࠸ࡋ࠿ᡭẁࡀ࡞ࡃ㸪ᨺ⇕ᛶࡢఙࡧ௦ࡀᑡ࡞࠸㸬ࡑࡢࡓࡵ㸪⇕ఏᑟ࡟ࡼࡿᨺ⇕ᢏ⾡ࡀ࣑ࢯ࡜࡞ࡿ㸬 ᥋ゐ⇕᢬ᢠᢏ⾡ࡢ⌧ᅾࡸࡣࡾ㸪ࡑ࠺࡞ࡿ࡜᥋ゐ⇕᢬ᢠࡀẼ࡟࡞ࡿ㸬ᑡࡋ
࡛ࡶ᥋ゐ≧ែࢆⰋࡃࡋ࡚ᨺ⇕ᛶࢆྥୖࡋࡓ࠸㸬ࡑࡢࡓࡵ㸪ྛ㒊ရࡢ᥋ゐ㠃࡟࠶ࡿ᥋ゐ⇕᢬ᢠ࡟ࡘ࠸࡚㸪⇕ࢆጉࡆࡿせᅉࢆ≉ᐃࡋࡓ࠸㸬᥋ゐ⇕᢬ᢠࡢィ⟬ᘧ
ࡣ 1950 ᖺ௦㹼1960 ᖺ௦࡟࠿ࡅ࡚ᶲ࣭బ㔝ᕝࡽ࡟ࡼࡾ◊✲ࡉࢀ㸪⌮ㄽᘧ࠾ࡼࡧᐇ㦂ᘧࡀᥦ᱌ࡉࢀࡓ㸬ࡇࡢᘧ࡟࠾࠸࡚㸪᥋ゐ⇕᢬ᢠ࡟ᙳ㡪ࢆ୚࠼ࡿᅉᏊ࡟㔠ᒓ⾲㠃ࡢ⢒ࡉࡸ᥋ゐᅽຊ࡞࡝ࡀᣲࡆࡽࢀ࡚࠸ࡿ[1]㸬
௒᪥ࡲ࡛ࡢ᥋ゐ⇕᢬ᢠࡢ௦⾲ⓗ࡞ィ⟬ᘧࢆ୧⪅࡛☜❧ࡋࡓ࡜࠸࠼ࡿ㸬ࡋ࠿ࡋ㸪ࡇࡢㄽᩥ࡟ࡣ㔠ᒓ⾲㠃ࡢ࠺ࡡࡾ㸦ᅗ 1 ཧ↷㸧ࡀ᥋ゐ⇕᢬ᢠ࡟୚࠼ࡿᙳ㡪ࡣ኱ࡁ࠸ࡶࡢࡢ㸪࠺ࡡࡾࡢᵝᏊࢆᢕᥱࡍࡿࡇ࡜ࡣ୙ྍ
⬟࡛࠶ࡿ࡜⤖ㄽ࡙ࡅࡽࢀ࡚࠾ࡾ㸪࠺ࡡࡾࡢᙳ㡪ࡣᮍゎ࡛᫂࠶ࡿ[2]㸬ࡲࡓ㸪ከࡃࡢ◊✲࡛⏝࠸ࡽࢀࡿ ᐃ⣔ࡣ㸪ᅗ 2 ࡟♧ࡍࡼ࠺࡞ ASTM D5470[3]ࡸ኱୵ࡽ
ࡢ⇕ఏᑟ⋡ ᐃἲ[4]࡟௦⾲ࡉࢀࡿࡼ࠺࡞㸪෇ᰕྠ
ኈࡢ᥋ゐ⇕᢬ᢠࢆホ౯ࡍࡿࡶࡢ࡛࠶ࡾ㸪ᐇ㝿ࡢ㟁Ꮚᶵჾࡢࡼ࠺࡟஧ࡘࡢᖹ㠃ࢆࡡࡌ⥾⤖ࡍࡿሙྜ㸦ᅗ 3ཧ↷㸧࡜ࡣ࠺ࡡࡾࡢⓎ⏕ཎ⌮ࡀ␗࡞ࡿ㸬ᖹ㠃ྠኈࢆࡡࡌ⥾⤖ࡍࡿ㝿࡟ࡣ㸪〇㐀㐣⛬࡟࠾࠸࡚Ⓨ⏕ࡍࡿ࠺ࡡࡾ௨እ࡟㸪⥾⤖࡟ࡼࡾⓎ⏕ࡍࡿᛂຊ࡛㸪ᖹᯈࡀᙎᛶኚᙧ࣭ረᛶኚᙧࡋࡓ࠺ࡡࡾࡀ௜ຍࡉࢀࡿ㸬ࡇࡕࡽࡢ࠺ࡡࡾࡢ࡯࠺ࡀᨭ㓄ⓗ࡛࠶ࡿ㸬㟁Ꮚᶵჾࡢ⟂య࡟࠾࠸࡚㸪」ᩘࡢ⟠ᡤࢆࡡࡌ⥾⤖ࡍࡿࡇ࡜ࡀ୍⯡ⓗ࡛࠶ࡾ㸪2 Ⅼ௨ୖࡢࡡࡌ㛫࡛Ⓨ⏕ࡍࡿ࠺ࡡࡾࢆ⪃៖ࡋࡓタィࡀᚲせ࡛࠶ࡿ㸬ఏ⇕ 2020 ᖺ 1 ᭶- 20 -㒊ᮦ A⢒ࡉ䠄㯮⥺䠅

㒊ᮦ B࠺ࡡࡾ䠄㟷㉥⥺䠅ᅗ 1 ⢒ࡉ࡜࠺ࡡࡾࢆక࠺㠃ࡢ᥋ゐ㸦ᴫᛕᅗ㸧

ᅗ 2 ෇ᰕࡢ᥋ゐ⇕᢬ᢠᐃ㸦ASTM D5470㸧

(a)ࡡࡌ 1 ᮏ࡛ᅛᐃࡍࡿሙྜ(b)ࡡࡌ 2 ᮏ࡛ᅛᐃࡍࡿሙྜ
ᅗ 3 ࡡࡌ⥾⤖࡟ࡼࡿ࠺ࡡࡾࡢⓎ⏕ ௦⾲ⓗ࡞ᶲ࣭బ㔝ᕝࡢᘧ࡜ࡑࡢㄢ㢟᥋ゐ⇕᢬ᢠ್ࢆ⟬ฟࡍࡿࡓࡵࡢ௦⾲ⓗ࡞ᘧ࡜ࡋ࡚㸪ḟᘧ࡛୚࠼ࡽࢀࡿᶲ࣭బ㔝ᕝࡢᘧ(1)ࢆ⤂௓ࡍࡿ㸬

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫ߙ௖ ൌ

ᘧ(1)ࢆᑟධࡋ࡚᥋ゐ⇕᢬ᢠࢆධຊࡍࢀࡤ㸪ṇࡋࡃఏ⇕ࢩ࣑࣮ࣗࣞࢩࣙࣥࡀ࡛ࡁ㸪ㄢ㢟ࡣゎỴࡍࡿ࠿࡜࠸࠺࡜ࡑ࠺࡛ࡣ࡞࠸㸬ᘧࡢ㡯࡟ࡣ㸪࠺ࡡࡾࡀຍ࿡
ࡉࢀ࡚࠸࡞࠸㸬ࡡࡀࢃࡃࡤ㸪㒊ရࢆᡂᆺࡋࡓᚋࡢ㒊ရ㛫ࡢ᥋ゐ⇕᢬ᢠࡀ⟬ฟ࡛ࡁࡿࡶࡋࡃࡣ㸪ィ ࡛ࡁࡿᢏ⾡ࡀḧࡋ࠸㸬

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ቀ1 െ ቁ      ሺ1ሻ
ߜଵ ൅ ߜଶ
‫ܪ‬
H㸸ᰂࡽ࠿࠸᪉ࡢᅛయࡢࣈࣜࢿࣝ◳ࡉ [kgf/mm2]
pm㸸ᖹᆒ᥋ゐᅽຊ [MPa]Įc㸸᥋ゐ⇕ࢥࣥࢲࢡࢱࣥࢫ [W/(m2㺃K)]
Ȗc㸸᥋ゐ⇕᢬ᢠ [(m2㺃K)/W]Ȝ1, Ȝ2㸸᥋ゐᅛయࡢ⇕ఏᑟ⋡ [W/(m㺃K)]
Ȝf㸸✵Ẽ࡞࡝ࡢ௓ᅾ≀㉁ࡢ⇕ఏᑟ⋡ [W/(m㺃K)]
ț1, ț2㸸⢒ࡉࡢ᭱኱㧗ࡉ [m] ࢿࢪ⥾ࡵ࡟ࡼࡿᅽຊศᕸࡢྍど໬ᅗ 5 ࡟♧ࡍ ECU ⟂య⿬㠃ࡢᅽຊศᕸࢆឤᅽ⣬࡛ྍど໬ࡍࡿ࡜㸪ᅗ 6 ࡢ⤖ᯝ࡜࡞ࡗࡓ㸬ᅽຊࡀ༳ຍࡉ
ࢀࡓ㒊ศࡣឤᅽ⣬ࡀ㉥Ⰽ࡟࡞ࡿ㸬ᅗ 6 ࡛ࡣ㉥Ⰽ㒊ࡣࡡࡌ࿘㎶࡟㝈ᐃࡉࢀ㸪⟂య඲㠃ࡀᨺ⇕࡟ά⏝ࡉࢀ࡚࠸࡞࠸ࡇ࡜ࡀࢃ࠿ࡿ㸬

ᘧ(1)ࡣ஧ࡘࡢ㔠ᒓࡢ᥋ゐ㠃ࡢ᥋ゐ⇕᢬ᢠࢆィ⟬ࡍࡿࡶࡢ࡛࠶ࡿ㸬1 ❶࡛♧ࡋࡓࡼ࠺࡟㸪ᅗ 4(a)ࡢࡼ
࠺࡞⟂య࡛ఏ⇕ࢩ࣑࣮ࣗࣞࢩࣙࣥࢆ⾜࠺ሙྜ㸪⟂య࡜ࣈࣛࢣࢵࢺ㒊㛫࡟᥋ゐ⇕᢬ᢠࡀ↓࠸⌮᝿ࡢ᥋ゐ࡜ࡋ࡚タᐃࡍࡿࡇ࡜ࡀከ࠸㸬౛࠼ࡤ㸪ᮏ᮶࡞ࡽࡤࢫ
࣏ࢵࢺ⁐᥋㒊௨እࡣ㸪᥋ゐ⇕᢬ᢠࡀᏑᅾࡍࡿ࡭ࡁ࡛
࠶ࡿࡀ㸪ᅗ 4(b)ࡢࡼ࠺࡟஧ࡘࡢ㒊ရ㛫࡟᥋ゐ⇕᢬ᢠࡀᏑᅾࡋ࡞࠸࡜ࡋ࡚ᢅ࠺㸬㻌

ECU ⿬㠃

ᅗ 5 ࢚ࣥࢪࣥ ECU ࡢእほࣈࣛࢣࢵࢺࢫ࣏ࢵࢺ⁐᥋
⟂య
ᅗ 6 ឤᅽ⣬࡟ࡼࡿᅽຊศᕸࡢྍど໬⤖ᯝࡇࡢ⌮⏤࡜ࡋ࡚㸪ᅗ 3 ࡛♧ࡋࡓࡼ࠺࡟㸪ࡡࡌ⥾⤖࡟ࡼࡗ࡚⟂యࡀⲴ㔜࡜཯ᑐ᪉ྥ࡟཯ࡗ࡚࠺ࡡࡾࡀ
Ⓨ⏕ࡋ㸪ᐇ㝿ࡣ᥋ゐࡋ࡞࠸ࡓࡵ࡜⪃࠼ࡽࢀࡿ㸬(a) ⟂య࡜ࣈࣛࢣࢵࢺࡢ᥋⥆⟂యእഃ࠿ࡽぢࡓࢥࣥࢱᅗ

 ࠺ࡡࡾࡀ⏕ࡌࡓᛂຊࡢゎᯒ࡛ࡣ㸪࠺ࡡࡾࡀ࡝ࡢࡼ࠺࡟Ⓨ⏕ࡋ࡚᥋ゐࡋ࡞ࡃ࡞ࡿ࠿㸪⡆༢࡞ࣔࢹ࡛ࣝᛂຊゎᯒࢆᐇ᪋ࡋࡓ㸬ᅗ 7 ࡟♧ࡍᖜ 90 mm×ዟ⾜ 9 mm×㧗ࡉ 5 mm ࡢ࢔࣑ࣝᯈ࠾
ࡼࡧྠࡌᑍἲࢆ᭷ࡍࡿ㖡ᯈࢆᑐ㇟࡟ ANSYS WB
17.1 ࢆ⏝࠸࡚ᛂຊゎᯒࢆ⾜ࡗࡓ㸬
ᅗ 8 ࡢᛂຊゎᯒࡢ⤖ᯝࢆࡳࡿ࡜㸪ឤᅽ⣬ࢆ⏝࠸ࡓᐃ࡜ྠᵝ࡟㸪Ⲵ㔜༳ຍ⟠ᡤ㏆ഐ࡟ࡢࡳᛂຊࡀ

ࣈࣛࢣࢵࢺ඲య࡟ఏ⇕(b) ⌮᝿᥋ゐࡢఏ⇕ࢩ࣑࣮ࣗࣞࢩࣙࣥ⤖ᯝ
ᅗ 4 ఏ⇕ࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟࠾ࡅࡿㄢ㢟౛ఏ⇕ 2020 ᖺ 1 ᭶- 21 -J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫

Ⲵ㔜 F

Ⲵ㔜 F

Ⲵ㔜ࣆࢵࢳ
80mm

࢔࣑ࣝᯈ㻌
5mm
㖡ᯈ㻌

90mm
9mm



ᅗ 7 ᛂຊゎᯒࡢࣔࢹࣝ
Ⲵ㔜༳ຍ⟠ᡤ㻌





0

1

2

3

4

5 (MPa)ᅗ 8 ᥋ゐ㠃ࡢᛂຊศᕸ
Ⓨ⏕ࡋ㸪ࡑࡢ௚ࡢ㡿ᇦࡢᛂຊࡣ࡯ࡰࢮ࡛ࣟ࠶ࡿ㸬ᅗ 9 ࡟♧ࡍࡼ࠺࡟㸪༳ຍⲴ㔜࡟ᛂࡌ࡚࢔࣑ࣝᯈࡀ
Ⲵ㔜࡜཯ᑐ᪉ྥ࡟ኚᙧࡋ࡚࠾ࡾ㸪᥋ゐࡋ࡚࠸࡞࠸ࡇ
࡜ࢆ⿬௜ࡅࡿ⤖ᯝࡀᚓࡽࢀࡓ㸬ᅗ 9 Ⲵ㔜࡟ࡼࡿ࢔࣑ࣝᯈࡢኚᙧ
ࡇࡢࡼ࠺࡟㸪ᐇ㝿ࡢ〇ရࢆࡡࡌ⥾⤖ࡍࡿ㝿࡟ࡣ㸪࠺ࡡࡾ࡟ࡼࡗ࡚ᒁᡤⓗ࡟᥋ゐ㠃✚ࡀኚ໬ࡋ㸪᥋ゐ㠃඲య࡛ࡳࡿ࡜᥋ゐ⇕᢬ᢠ࡟ศᕸࡀ⏕ࡌࡿ㸬 ㄢ㢟ゎỴࡢព⩏ ᥋ゐ⇕᢬ᢠࡢపῶᡭἲ࡟┠ࢆྥࡅࡓ࠸㸬㟁Ꮚᶵჾศ㔝࡟࠾࠸࡚㸪኱୵ࡽ[5]ࡸ㕥ᮌࡽ[6]ࡢ◊✲ࡢࡼ࠺࡟㸪᥋ゐ㠃࡟⇕ఏᑟᛶࡀ㧗ࡃᰂ㌾ᛶࢆࡶࡘᮦ㉁ࢆᣳ
ࡴࡢࡀ୍⯡ⓗ࡛࠶ࡿ㸬ࡇࢀࡽࡢᑐ⟇࡛ࡣ㸪ᵓᡂ㒊ᮦࡀቑ࠼ࡿࡇ࡜࡟࡞ࡾ㸪㟁Ꮚᶵჾ〇㐀࡟࠾ࡅࡿࢥࢫࢺ

ఏ⇕ 2020 ᖺ 1 ᭶- 22 -

ࡢቑຍࡀᚲ↛ⓗ࡟ㄢ㢟࡜࡞ࡿ㸬ࡇࡢㄢ㢟ࢆゎỴࡍࡿࡓࡵ㸪ࡡࡌ⥾⤖࡟ࡼࡿ࠺ࡡࡾࢆ฼⏝ࡋ࡚㸪⟂యᙧ≧࡟ᕤኵࢆࡍࡿࡇ࡜࡛᥋ゐ⇕᢬ᢠࢆపῶ࡛ࡁ࡞࠸࠿᳨ドࡋࡓ㸬ࡲࡓ㸪᥋ゐ㠃ࡢ⇕᢬ᢠࢆィ ࡍࡿ᪂ࡓ࡞ᡭἲ࡜ࡋ
࡚㸪࣮ࣞࢨຍ⇕ࢆ⏝࠸ࡓ᪉ἲ[7]ࡸ㸪㟁Ẽ᢬ᢠࢆ฼⏝ࡋࡓ᪉ἲ[8]㸪ග㡢㡪ࢆ฼⏝ࡋࡓ᪉ἲ[9]ࡀᥦ᱌ࡉࢀ
࡚࠸ࡿࡀ㸪࠸ࡎࢀࡢሙྜࡶ㸪࠺ࡡࡾࡢᙳ㡪ࢆ᤼㝖ࡋ࡚ ᐃࢆࡋ࡚࠸ࡿ㸬࠺ࡡࡾࢆ᭷ࡍࡿ᥋ゐ㠃ࡢ⇕᢬ᢠࢆ ᐃࡍࡿ⿦⨨ࡀᏑᅾࡋ࡞࠸ࡇ࡜ࡶㄢ㢟࡜࡞ࡿ㸬࠺ࡡࡾࢆពᅗⓗ࡟฼⏝ࡋࡓᨺ⇕ᛶ⬟ࡢྥୖࡣ㸪ᚑ᮶ࡢ〇ရ࡟ᑐࡋ࡚㒊ရࢆ㏣ຍࡍࡿᚲせࡀ࡞࠸ࡓࡵ
పࢥࢫࢺ࡛ࡢᐇ⌧ࡀྍ⬟࡛ࡣ࡞࠸࠿࡜⪃࠼ࡿ㸬⌮⏤ࡣ㸪ᡂᙧရ࡛࠶ࢀࡤ㸪㔠ᆺࡢᙧ≧ࢆᕤኵࡍࡿࡇ࡜࡛㸪࠺ࡡࡾ࡟ఝࡓ⾲㠃ࢆ〇స࡛ࡁࡿ㸬వศ࡞ࢥࢫࢺࡀ࠿
࠿ࡽ࡞࠸ࡇ࡜ࡀ࣏࢖ࣥࢺ࡛࠶ࡿ㸬࠺ࡡࡾࢆక࠺ᗈ࠸㠃࡟ศᕸࡍࡿ᥋ゐ⇕᢬ᢠࡢᒁᡤⓗ࡞ ᐃࡀྍ⬟࡜࡞ࢀࡤ㸪ᵓ㐀≀ࡢෆ㒊࡛⏕ࡌࡿ
Ⓨ⇕㔞ࡢᨺ⇕ఏ⇕㔞ࢆᐃ㔞໬࡛ࡁࡿࡼ࠺࡟࡞ࡿ㸬㏆ᖺࡢ⮬ື㌴ࡢㄢ㢟ࡢ୍ࡘ࡜ࡋ࡚┬࢚ࢿࡀ࠶ࡾ㸪ຠ⋡ࡼࡃ࢚ࢿࣝࢠࢆ౑⏝ࡋ㸪ᨺ⇕ࡋ࡞ࡅࢀࡤ࡞ࡽ࡞
࠸㸬ࡇࢀ࡟࠿࠿ࡿᨺ⇕ࢥࢫࢺࡣ㸪〇ရ඲యࡢࢥࢫࢺ
๭ྜ࡛ࡳࡿ࡜ᑡ࡞ࡃ࡞࠸㸬ࡲࡓ㸪࠺ࡡࡾࢆక࠺㠃ࡢ᥋ゐ⇕᢬ᢠపῶࡣ㸪ఏ⇕ᕤᏛࡢศ㔝࡛ゎ᫂ࡉࢀ࡟ࡃ
࠿ࡗࡓᢏ⾡ࡢ୍ࡘ࡛࠶ࡾ㸪㌴㍕ࡢ㟁Ꮚᶵჾ࡟㝈ࡽࡎ㸪ᶵᲔࡢᵓ㐀᥋ゐ࡟క࠺඲࡚ࡢᕤᴗ〇ရ࡟Ἴཬ㸪㐺⏝ࡀྍ⬟࡞ᢏ⾡࡛࠶ࡿ㸬ᮍ☜ᐃ࡞᥋ゐ⇕᢬ᢠࡢᏑᅾࢆ
ᐃ㔞ⓗ࡟᫂ࡽ࠿࡟ࡋ࡚࠸ࡃࡇ࡜࡛㸪ࡉࡽ࡟ᨺ⇕ᛶ⬟ࢆୖࡆࡿ㔜せ࡞ᢏ⾡࡛࠶ࡿ㸬㸱㸬᥋ゐ⇕᢬ᢠศᕸࡢ ᐃ ⿦⨨ࡢᴫせ࣭≉ᚩ〇ရࡢ⇕タィࡢࡓࡵ࡟ࡣ㸪࠺ࡡࡾ࡟ࡼࡿ᥋ゐ⇕᢬ᢠศᕸࢆᢕᥱࡋ࡞ࡅࢀࡤ࡞ࡽ࡞࠸㸬ࡑࡢࡓࡵ㸪 ᐃ⿦⨨ࢆ㛤Ⓨࡋ㸪࠺ࡡࡾࢆࡶࡘ᥋ゐ㠃ࡢ⇕᢬ᢠศᕸࡢ
ᐃࢆᐇ⌧ࡍࡿࡇ࡜࡟ࡋࡓ㸬࠺ࡡࡾࡀ᥋ゐ⇕᢬ᢠ࡟ཬࡰࡍᙳ㡪ࢆホ౯ࡍࡿࡓࡵ࡟㸪 ᐃ⿦⨨ࡣᅗ 7 ࡢᖹᯈࢆ ᐃྍ⬟࡞ࡼ࠺タィࡋࡓ㸬ᯈᮦࡀ࠺ࡡࡿࡇ࡜࡛᥋ゐ⇕᢬ᢠ࡟ศᕸࡀ࡛ࡁ
ࡿ㸬࠺ࡡࡾ࡟ࡼࡿ᥋ゐ⇕᢬ᢠࡢኚ໬ࢆ᫂ࡽ࠿࡟ࡍࡿ
ࡓࡵ㸪඲యࡢ᥋ゐ⇕᢬ᢠ࡛ࡣ࡞ࡃ㸪ᒁᡤⓗ࡞⇕᢬ᢠࢆ ᐃࡋࡓ࠸㸬ࡑࡇ࡛㸪ᯈᮦࡢ㛗㎶ഃࢆ㸪ᅗ 10 ࡢࡼ࠺࡟⇕ὶ᮰ࢭࣥࢧ࡛㏻㐣ఏ⇕㔞ࢆ 10 mm 㛫㝸࡛
9 ࡢ࢚ࣜ࢔࡟ศࡅ࡚ ᐃࡍࡿ㸬ᅗ 11 ࡟♧ࡍᮏ⿦⨨

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫⇕㟁ᑐ࡛ ᗘᕪ ᐃ㻌⇕ὶ᮰ࢭࣥࢧ࡛㏻㐣ఏ⇕㔞R ௧௛ሺ௜ሻ ൌ

1
1
1
1
ൌ
൅
൅‫ڮ‬൅
   ሺ3ሻ ܴ௧௛ሺଽሻ
ܴ‫ܴ ݐ݋ݐ‬௧௛ሺଵሻ ܴ௧௛ሺଶሻ
 ᥋ゐ⇕᢬ᢠ⿦⨨࡟ࡼࡿศᕸ ᐃ⤖ᯝ
 ᅗ 12 ࡟㸪࢔࣑ࣝᯈ࡜㖡ᯈ࡜ࡢ᥋ゐ㠃ࡀᖹ㠃ࡢሙྜ࡟ࡘ࠸࡚㸪Ⲵ㔜 2F ࢆ 0.1kN㹼4kN ࡲ࡛ኚ໬ࡉࡏ
ࡓሙྜࡢ㸪᥋ゐ⇕᢬ᢠ ᐃ⤖ᯝࢆ♧ࡍ㸬
4

2

࣭࣭࣭

2
1

ᅗ 12 ᥋ゐ⇕᢬ᢠศᕸࡢ

9ᐃ⤖ᯝ ࡇࢀࡲ࡛ࡢ᳨ウ⤖ᯝࢆ⿬௜ࡅࡿࡼ࠺࡟㸪୰ኸ㒊ࡢ ᐃ࢚ࣜ࢔ 5 ࡣ᥋ゐ⇕᢬ᢠࡀ㧗ࡃ㸪Ⲵ㔜ࡀ༳ຍࡉࢀࡿ୧➃㒊ࡣ᥋ゐ⇕᢬ᢠࡀప࠸⤖ᯝ࡜࡞ࡗࡓ㸬 ࠺ࡡࡾࢆ฼⏝ࡋࡓ᥋ゐ⇕᢬ᢠࡢపῶ ࡡࡌ⥾⤖࡟ࡼࡗ࡚࠺ࡡࡾࡀⓎ⏕ࡋ㸪᥋ゐ⇕᢬ᢠࡀቑຍࡍࡿࡇ࡜ࡀࢃ࠿ࡗࡓ㸬ࡑࡇ࡛㸪᥋ゐ⇕᢬ᢠࢆపῶࡍࡿࡓࡵ࡟㸪ᅗ 13 ࡢࡼ࠺࡟㸪ᅗ 10 ࡢ࢔࣑ࣝᯈࢆ
ୗ࡟ฝࡢ෇ᘼᙧ≧࡜ࡋ࡚࠺ࡡࡾࢆ୚࠼ࡿࡇ࡜࡛㸪᥋ゐ⇕᢬ᢠࡢపῶࢆ᥋ゐ㠃✚ࡢᣑࡀࡾ࡛☜ㄆࡍࡿ㸬ᐃࢧࣥࣉࣝ

M6 ࡡࡌ䠄㍈ຊ㸧㻌࢔ࢡࣜࣝ㻌ࣄ࣮ࢱ㻌䠄᩿⇕䠅㻌

3

1 2 3 4 5 6 7 8 9
ᐃ࢚ࣜ࢔i

ᐃ࢚ࣜ࢔㻌
ᅗ 10

0.1 kN
0.5 kN
1 kN
1.5 kN2 kN
2.5 kN3 kN
3.5 kN
4 kN

0

ᐃ㻌
࢔࣑ࣝᯈ㻌
㖡ᯈ㻌

1

߂ܶሺ௜ሻ
            ሺ2ሻܳ௧௛ሺ௜ሻ

Rth(i)[K/W]࡛ࡣ㸪M6 ࡡࡌࢆ⥾ࡵࡿࡇ࡜࡛㸪⟂యࡢ࣎ࣝࢺ⥾⤖ࡢࡈ࡜ࡃ࢔࣑ࣝᯈ࡟Ⲵ㔜ࡀ༳ຍࡉࢀ㸪Ⲵ㔜࡟ࡼࡿ࠺
ࡡࡾࡀⓎ⏕ࡍࡿᵓ㐀࡛࠶ࡿ㸬࢔࣑ࣝᯈ࡜㖡ᯈࡢ᥋ゐ⇕᢬ᢠࢆ ᐃࡍࡿࡓࡵ࡟ࡣ㸪ྛᯈᮦࡢ ᗘ࡜㏻㐣ఏ⇕㔞ࡢ ᐃࡀᚲせ࡛࠶ࡿ㸬ヲ⣽ࡣ㸪 ᗘࡢ ᐃ࡟ࡘ࠸࡚㸪ᯈᮦࡢ୰ᚰ㒊ศ࡟⇕㟁ᑐࢆᤄධࡋ࡚ ᐃࡋ㸪
㏻㐣ఏ⇕㔞ࡣ㸪㖡ᯈࡢୗ㠃࡟⇕ὶ᮰ࢭࣥࢧࢆ㓄⨨ࡋ࡚ ᐃࡋࡓ㸬⇕ὶ᮰ࢭࣥࢧࡣ㸪᥋ゐ㠃ࡢ㏻㐣⇕㔞ࢆ༢఩ W/m2 ࡛ ᐃࡍࡿࢭࣥࢧ࡛࠶ࡾ㸪ࡇࡢ ᐃ್࡟㠃✚ࢆ஌⟬ࡍࡿࡇ࡜࡛ྛ ᐃ࢚ࣜ࢔ࡢ㏻㐣ఏ⇕㔞Qth(i)ࡀ⟬ฟ࡛ࡁࡿ㸬 ௒ᅇ㸪⇕㟁ᑐᤄධ㒊࠿ࡽ࢔࣑ࣝᯈࡢୗ㠃࠾ࡼࡧ㖡ᯈࡢୖ㠃ࡲ࡛ࡢ⇕᢬ᢠࡣ༑ศᑠࡉ࠸࡜ࡳ࡞ࡋ࡚↓どࡋࡓ㸬ࡇࢀ࡟ࡼࡾ㸪᥋ゐ㠃ୖୗࡢ ᗘᕪ ǻT(i)ࡀồࡵࡽࢀࡿ㸬 ࡇࡢ⿦⨨ࡣ㸪 ᐃ࢚ࣜ࢔ i =1㹼9 ࡢᒁᡤ᥋ゐ⇕᢬ᢠ Rth(i)ࡣᘧ(2)࡛ィ⟬ࡋ㸪ᯈᮦ඲యࡢ୪ิ᥋ゐ⇕᢬ᢠ Rtot ࡣᘧ(3)࡛ホ౯࡛ࡁࡿࡼ࠺࡟࡞ࡗ࡚࠸ࡿ㸬࣮ࣟࢻࢭࣝ㻌
Ỉ෭ࣉ࣮ࣞࢺ㻌

࢔࣑ࣝᯈ
࢔࣑ࣝᯈ㻌

㖡ᯈ㻌
⇕㟁ᑐ㻌





ᅗ 13 ࢔࣑ࣝᯈࡢ෇ᘼᙧ≧⇕ὶ㻌⇕ὶ᮰ࢭࣥࢧ㻌ᅗ 11 ᥋ゐ⇕᢬ᢠఏ⇕ 2020 ᖺ 1 ᭶ǻ࠺ࡡࡾ㧗ࡉ ǻ = 0 ȝm ࡜ ǻ = 1000 ȝm ࡢ࢔࣑ࣝᯈ
࡟㸪༳ຍⲴ㔜 2F=1 kN ࢆ୚࠼ࡓሙྜࡢ㸪ឤᅽ⣬࡟ࡼࡿ᥋ゐ≧ែࡢྍど໬⤖ᯝࢆᅗ 14 ࡟♧ࡍ㸬࠺ࡡࡾࢆᐃ⿦⨨

- 23 -J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫ᙧᡂࡋࡓ 1000μm ࡢሙྜࡣ㸪༳ຍⲴ㔜ࡢቑຍ࡟కࡗ
࡚࢔࣑ࣝᯈࡀᙎᛶኚᙧࡋ㸪㡬Ⅼ௜㏆ࡢ᥋ゐ⇕᢬ᢠࡀୗࡀࡾ㸪2.6 ⠇࡛ᥦ᱌ࡋࡓపࢥࢫࢺ࡛ࡢᨺ⇕ᛶྥୖ࡟ྥࡅ㸪᭷┈࡞⤖ᯝࡀᚓࡽࢀࡓ㸬ཧ⪃ᩥ⊩[1] ᶲ⸨㞝㸪᥋ゐ㠃ࡢ⇕᢬ᢠ࡟㛵ࡍࡿ◊✲㸪᪥ᮏᶵᲔᏛ఍ㄅ㸪55-397 (1952) 102㸬[2] బ㔝ᕝዲẕ㸪㔠ᒓ᥋ゐ㠃࡟࠾ࡅࡿఏ⇕࡟㛵ࡍࡿ◊✲(➨ 4 ሗ㸪᥋ゐ㠃ࡢ⾲㠃࠶ࡽࡉࡢᙧ≧࣭࠺ࡡࡾࡢᙳ㡪࡜᥋ゐ⇕᢬ᢠࡢ㏆ఝィ⟬ἲ)㸪᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟(➨ 2 㒊)㸪33-251 (1967) 1134.
[3] ASTM, Standard Test Method for Thermal
Transmission Properties of Thermally Conductive
Electrical Insulation Materials, D5470-17.

Ў࠺ࡡࡾ㧗ࡉ ǻ=0ȝmЌ࠺ࡡࡾ㧗ࡉ ǻ=1000ȝmᅗ 14 ࠺ࡡࡾ᭷↓࡟ࡼࡿ᥋ゐ≧ែࡢ┦㐪㸲㸬࠾ࢃࡾ࡟
ᶲ࣭బ㔝ᕝࡢᘧ࡛ࡣᑐᛂ୙ྍ⬟࡞㸪ᯈᮦࢆ 2 Ⅼ࡛⥾⤖ࡋࡓ㝿ࡢ᥋ゐ⇕᢬ᢠศᕸ࡟ཬࡰࡍ༳ຍⲴ㔜
2F ࠾ࡼࡧࡑࢀ࡟క࠺ኚᙧࡢᙳ㡪㸪࠺ࡡࡾࡢ኱ࡁࡉǻ ࡀ᥋ゐ⇕᢬ᢠ࡟ཬࡰࡍᙳ㡪ࡀ࠶ࡿࡇ࡜ࢆㄝ᫂ࡋ
ࡓ㸬௒ᅇ㸪ࡡࡌࡢࣆࢵࢳࡸᯈᮦࡢᮦ㉁࣭⢒ࡉ➼ࡣྠ୍࡜ࡋࡓࡀ㸪௒ᚋ㸪ࡇࢀࡽࡢᅉᏊࡀ᥋ゐ⇕᢬ᢠ࡟ཬࡰࡍᙳ㡪ࢆ᫂ࡽ࠿࡟ࡋ㸪ᚑ᮶ࡢᶲ࣭బ㔝ᕝࡢᘧ࡟࠺
ࡡࡾࡢᅉᏊ࡞࡝ࢆᑟධࡍࡿࡇ࡜࡛㸪᭷⏝࡞ᩚ⌮ᘧࢆᚓࡿࡇ࡜ࢆ┠ᣦࡍ㸬ᮏ✏࡟࠿࠿ࡿ ᐃࡣᮾᕤ኱అಙ◊✲ᐊ࡜ࡢඹྠ
◊✲࡛㸪ྠ◊✲ᐊᏛ⏕ࡢ karim karjadi ྩ㸪࣭࢛࢘࢘ࣥࢯࣈྩ࡜ඹ࡟ᐇ᪋ࡋࡓ㸬ࡲࡓ㸪ࢧ࣮࣐ࣝࢹࢨ࢖ࣥ
ࣛ࣎ᰴᘧ఍♫ ᅜᓟẶ࠾ࡼࡧඖ⇃ᮏ኱Ꮫ ᐩᮧᩍᤵ࡟ࡈᩍ♧࠸ࡓࡔ࠸ࡓ㸬ࡇࡇ࡟ㅰពࢆ♧ࡍḟ➨࡛࠶ࡿ㸬ఏ⇕ 2020 ᖺ 1 ᭶- 24 -[4] ኱୵ဴᮁ㸪ప᥋ゐᅽ㡿ᇦ࡟࠾ࡅࡿ᥋ゐ⇕ࢥࣥࢲࢡࢱࣥࢫ࡟ཬࡰࡍ᥋ゐᅽຊ࡜᥋ゐ⏺㠃✵㝽ཌࡉࡢᙳ㡪㸪➨ 46 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ㅮ₇ㄽᩥ
㞟㸪(2009).
[5] ኱୵ဴᮁ㸪ᰗᾆ⪽㸪Ώ㑓⪽㸪ᖹ⏣ᣅဢ㸪ᑟ㟁ᛶ᥋╔๣ࡢ⇕ఏᑟ⋡ ᐃἲࡢ◊✲㸪⇕≀ᛶ㸪28-1(2015) 22.
[6] 㕥ᮌᩔ㸪బࠎᮌせ㸪᱓ཎᖹྜྷ㸪࢔࣑ࣝ㟁ゎࢥࣥࢹࣥࢧ࡟࠾ࡅࡿ࢚࣓ࣞࣥࢺ࡜ࢣ࣮ࢫ㛫ࡢ᥋ゐ⇕᢬ᢠ㸪᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟(B ⦅)㸪66-645 (2000)
1503.
[7] ኱᭮᰿㟹ኵ㸪࣮ࣞࢨ࿘ᮇຍ⇕ཬࡧ཯ᑕ⋡ ᗘᐃࢆ⏝࠸ࡓ࢙࢘ࣁ≧ᅛయヨᩱ㛫ࡢ᥋ゐ⇕ࢥࣥࢲࢡࢱࣥࢫࡢගᏛⓗ ᐃ㸪᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟(B⦅)㸪67-655 (2001) 767.
[8] ྜྷ℩ᖾྖ㸪㔠ᒓ᥋ゐ㒊࡟࠾ࡅࡿ⇕᢬ᢠ࡜㟁Ẽ᢬ᢠࡢ ᗘ౫Ꮡᛶ㸪᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟(B ⦅)㸪79798 (2013) 176.
[9] ຍ㈡⏣⩧㸪ᒣ⏣ဴஓ㸪ྜྷ⏣⠜ṇ㸪ග㡢㡪ἲ࡟ࡼࡿᅛయ᥋ゐ㠃ࡢ⇕᢬ᢠࡢ ᐃ࡜ࡑࡢホ౯㸪᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟㸪81-823 (2015)

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫ᅽຊᐃࣇ࢕࣒ࣝࢆ฼⏝ࡋࡓ᥋ゐ⇕᢬ᢠࡢホ౯᪉ἲ

Evaluation method of contact thermal resistance using pressure measurement film㻌㻌㻌㟷ᮌ ὒ⛱㸦KOA ᰴᘧ఍♫㸧
Hirotoshi AOKI (KOA Corporation)e-mail: hi-aoki@koaglobal.com
㸯㸬ࡣࡌࡵ࡟ ㏆ᖺ㸪㟁Ꮚᶵჾࡢᑠᆺ໬ࡸ㟁Ꮚ㒊ရࡢ㧗ᐦᗘᐇ⿦໬࡟కࡗ࡚ᇶᯈୖࡢⓎ⇕ᐦᗘࡀቑຍࡋ࡚࠸ࡿ㸬ࡇࢀ࡟ࡼࡾ㟁Ꮚ㒊ရࡸᇶᯈࡢ ᗘࡀୖ᪼ࡋࡸࡍࡃ
࡞ࡿࡓࡵ㸪㟁Ꮚᶵჾ࡟ࡣ㐺ษ࡞⇕タィࡀồࡵࡽࢀࡿ㸬㟁Ꮚ㒊ရࡢ ᗘࡣ㸪ࡑࡢⓎ⇕㔞࡜ᨺ⇕⤒㊰ࡢ⇕᢬ᢠ࡟ࡼࡗ࡚Ỵࡲࡿ㸬౛࠼ࡤ㸪ᅗ 1 ࡟♧ࡍᐦ㛢⟂యࡢᶵჾ࡛ࡣ㸪Ⓨ⇕㒊ရࡸᇶᯈࡀᣢࡘ⇕᢬ᢠ࡜㸪ࡑࢀࡽ㒊ᮦ㛫ࡢ᥋ゐ⇕᢬ᢠ࡞࡝ࡀ ᗘ࡟ᙳ㡪ࡍࡿ㸬≉࡟᥋ゐ⇕᢬ᢠ࡟ࡘ࠸࡚ࡣ㸪᥋ゐ㠃࡟ᨺ⇕ࢢ࣮ࣜࢫ࡞࡝ࡢ Thermal Interface Material㸦TIM㸧ࢆሬᕸࡍࡿࡇ࡜࡛㸪㏻ᖖࡑࡢ್ࡢపῶࡀᅗࡽࢀࡿࡀ㸪ࢥࢫࢺ๐ῶࡸࢢ࣮ࣜࢫࡢ⤒ᖺຎ໬࡞࡝ࡢ⌮⏤࠿ࡽᨺ⇕ࢢ࣮ࣜࢫࢆ౑ࢃ࡞࠸タィࡢせᮃࡶฟ࡚ࡁ࡚࠸ࡿ㸬ࡇࡢࢢ࣮ࣜࢫࣞࢫ᥋ゐ࡟࠾ࡅࡿ⇕᢬ᢠࡣ㸪㒊ᮦࡢ⾲㠃⢒ࡉࡸ࠺ࡡࡾ㸪᥋ゐᅽຊ࡞࡝ࡢᙳ㡪ࢆཷࡅࡿࡓࡵ㸪ࡑࡢᐃ㔞໬ࡣ㞴ࡋࡃ㸪⇕タィࢆ⾜࠺㝿ࡢㄢ㢟࡟࡞ࡗ࡚࠸ࡿ㸬 ᮏ◊✲࡛ࡣ㸪ࢢ࣮ࣜࢫࣞࢫ᥋ゐ㠃ࡢ⇕᢬ᢠࢆᐃ㔞໬ࡍࡿࡓࡵ࡟㸪ᅽຊ ᐃࣇ࢕࣒ࣝࢆ฼⏝ࡋࡓホ౯ᡭἲࡢ㛤Ⓨࢆヨࡳࡓ㸬ලయⓗ࡟ࡣ࠺ࡡࡾࡀ᭷ࡿ
࢔࣑ࣝࢼᇶᯈ࡜࠺ࡡࡾࡀ↓࠸࢔࣑ࣝࢽ࣒࢘ྜ㔠ᯈ
ࡢ᥋ゐࢆᑐ㇟࡜ࡋ㸪ᮏ᳨ウෆᐜࡣᮦ㉁ࡸ⾲㠃ᛶ≧ࡀ␗࡞ࡿᮦᩱࡢホ౯࡟ࡶᛂ⏝ྍ⬟࡜⪃࠼࡚࠸ࡿ㸬ᮏ✏࡛ࡣ㛤Ⓨࡋࡓᡭἲ࡜㸪ᚓࡽࢀࡓ᥋ゐ⇕᢬ᢠࡢጇᙜᛶ࡟ࡘ࠸࡚ሗ࿌ࡍࡿ㸬㻌㻌㸰㸬࠺ࡡࡾࢆ᭷ࡍࡿ㒊ᮦࡢ᥋ゐ⇕᢬ᢠホ౯ ᚑ᮶ࡢண ᘧ࡜㐺⏝᫬ࡢㄢ㢟 ࠺ࡡࡾࡀ↓࠸㔠ᒓ㒊ᮦࡢ᥋ゐ⇕᢬ᢠࡢண ࡟ࡣᘧ(1) ࡟♧ࡍᶲ·బ㔝ᕝࡢᘧ[1]ࡀࡼࡃ⏝࠸ࡽࢀ࡚࠸ࡿ㸬ࡇࡢᘧࡣ㸪⢒ࡉࢆ᭷ࡍࡿ㒊ᮦ⾲㠃㛫ࡢ┿ᐇ᥋ゐ㒊ࢆࣔࢹࣝ໬ࡋࡓ༢఩ࢭࣝ࡟ᇶ࡙ࡃ⌮ㄽᘧ࡟㸪⇕ὶࡢ⦰ᑠ࡜ᣑ኱ࡢᙳ㡪ࢆᑟධࡋࡓࡶࡢ࡛࠶ࡾ㸪ᖹᆒ᥋ゐ⇕᢬ᢠ rm ࡜ᖹᆒ᥋ゐᅽຊ pm ࡢ㛵ಀࢆ⾲ࡋ࡚࠸ࡿ㸬ࡇࡇ࡛㸪hm ࡣᖹᆒ᥋ゐ⇕ࢥࣥࢲࢡࢱࣥ
ࢫ࡛࠶ࡾ㸪rm ࡜㏫ᩘࡢ㛵ಀ࡟࠶ࡿ㸬ࡲࡓ㸪pm ࡣ୚࠼ࡽࢀࡓⲴ㔜ࢆ᥋ゐ㠃඲యࡢᢞᙳ㠃✚ S ࡛㝖ࡋࡓ್࡛ᐃ⩏ࡉࢀࡿ㸬ᘧ୰࡟ࡣ㸪㒊ᮦࡢ⾲㠃⢒ࡉ į ࡸ⇕ఏᑟ⋡ Ȝ㸪ࣅࢵ࣮࢝ࢫ◳ࡉ Hmin㸪᥋ゐ㠃࡟࠾ࡅࡿ⇕ὶࡢ⦰ᑠ࡜ᣑ኱࡟ࡼࡿ௜ຍ⇕᢬ᢠ 1/h0 ࡞࡝ࡶྵࡲࢀ㸪1/h0 ࡣ୍㐃ࡢ⌮ㄽゎᯒ࡜ᐇ㦂⤖ᯝ࡟ᇶ࡙ࡃᘧ(2) ࡛୚࠼ࡽࢀࡿ㸬᥋ゐ㠃඲యࡢ⇕᢬ᢠ R
ࡢண ࡟ࡣ㸪ᘧ(3) ࡀ⏝࠸ࡽࢀࡿ㸬

Hmin
㻌
㻌

hm
1/h0
pm
R

㻌
ᅗ 1 ᐦ㛢⟂యࡢ㟁Ꮚᶵჾ࡟࠾ࡅࡿᨺ⇕ఏ⇕ 2020 ᖺ 1 ᭶- 25 -㌾ࡽ࠿࠸᪉ࡢ㒊ᮦࡢࣈࣜࢿࣝ◳ࡉࡲࡓࡣࣅࢵ࣮࢝ࢫ◳ࡉ[MPa]ᖹᆒ᥋ゐ⇕ࢥࣥࢲࢡࢱࣥࢫ [W/(m2·K)]
⦰ᑠ·ᣑ኱࡟ࡼࡿ௜ຍ⇕᢬ᢠ [m2·K/W]ᖹᆒ᥋ゐᅽຊ
[MPa]᥋ゐ㠃඲యࡢ᥋ゐ⇕᢬ᢠ [K/W]

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫rm
ᖹᆒ᥋ゐ⇕᢬ᢠ S᥋ゐ㠃඲యࡢᢞᙳ㠃✚ࢠࣜࢩࣕᩥᏐ
į㒊ᮦࡢ⾲㠃⢒ࡉ
Ȝ
⇕ఏᑟ⋡
ῧᏐ
f
௓ᅾ≀㉁
1, 2
㒊ᮦ 1, 2

[m2·K/W][m2]

ᡭ㡰 1-1 ᅗ 4 (a) ࡢࡼ࠺࡟㸪᥋ゐ㠃࡟࠾ࡅࡿᒁᡤ᥋ゐᅽຊ pcell ࡢศᕸࢆ ᐃࡍࡿ㸬
ᡭ㡰 1-2 pcell ࢆ rcell ࡟ኚ᥮ࡍࡿࡓࡵ㸪2.3 ⠇ࡢ᪉ἲࢆ฼⏝ࡋ㸪ᅗ 4 (b) ࡟♧ࡍᇶ‽ pcell - rcell ࢹ࣮ࢱࢆྲྀᚓࡍࡿ㸬ࢹ࣮ࢱྲྀᚓ࡟ࡣ㸪ホ౯ᑐ㇟㒊ᮦ࡜ྠࡌ
ᮦ㉁࡛ྠ➼ࡢ⾲㠃⢒ࡉࢆᣢࡕ㸪᥋ゐ㠃ࡢ࠺ࡡࡾࡀ
↓࠸ヨ㦂∦ࢆ⏝࠸ࡿ㸬ࡲࡓ㸪᥋ゐ㠃࡟௓ᅾࡍࡿ≀㉁ࡶྠࡌ࡟ࡍࡿ㸬ᡭ㡰 1-3 ᇶ‽ pcell - rcell ࢹ࣮ࢱࢆ⏝࠸࡚㸪ᡭ㡰 1-1࡛ồࡵࡓ pcell ࢆ rcell ࡟ኚ᥮ࡋ㸪ᅗ 4 (c) ࡟♧ࡍᚤᑠࢭࣝࡢ rcell ࡛ᵓᡂࡉࢀࡓ᥋ゐ⇕᢬ᢠศᕸࢆồࡵࡿ㸬ᡭ㡰 1-4 ྛᚤᑠࢭࣝࡢ rcell ࢆᘧ (4) ࡟௦ධࡋ࡚
ྜᡂࡋ㸪᥋ゐ㠃඲యࡢ᥋ゐ⇕᢬ᢠ R ࢆồࡵࡿ㸬[m][W/(m·K)] ࡋ࠿ࡋ㒊ရ⾲㠃࡟ࡣ㸪ᅗ 2 ࡟౛♧ࡍࡿ࠺ࡡࡾࡀ
Ꮡᅾࡍࡿ㸬ࡇࡢ⾲㠃ࢆ௚㒊ᮦ࡟᥋ゐࡉࡏࡿ࡜㸪᥋ゐ㠃࡟ࡣᅗ 3 ࡢࡼ࠺࡞㠀᥋ゐ㒊࡜୙ᆒ୍࡞ᅽຊศ
ᕸࢆᣢࡘ᥋ゐ㒊ࡀ࡛ࡁࡿ㸬ࡋࡓࡀࡗ࡚㸪㒊ᮦ⾲㠃࡟࠺ࡡࡾࡀ↓࠸ᆒ୍᥋ゐࢆ๓ᥦ࡜ࡋࡓᘧ(1) ࡟㸪࠺ࡡࡾࡀ᭷ࡿ᥋ゐ㠃ࡢᖹᆒ᥋ゐᅽຊ pm ࢆ௦ධࡍࡿ࡜㸪ᘧ(3) ࠿ࡽண ࡉࢀࡿ᥋ゐ⇕᢬ᢠ R ࡟኱ࡁ࡞ㄗᕪࡀ⏕ࡌࡿㄢ㢟ࡀ࠶ࡗࡓ㸬ࡇࡢㄢ㢟ࢆゎỴࡍࡿࡓࡵ࡟ᮏ᳨ウ࡛ࡣ㸪ᅗ 2 ୰࡟♧ࡋࡓࡼ࠺࡟㸪኱ࡁ࡞࠺ࡡࡾࡀ᭷ࡿ᥋ゐ㠃ࢆ࠺ࡡࡾࡀ༑ศᑠࡉ࠸࡜ぢ࡞ࡏࡿᚤᑠ㡿ᇦ㸦௨㝆㸪ᚤᑠࢭࣝ࡜グࡍ㸧࡟ศ๭ࡋ㸪ྛᚤᑠࢭࣝࡢᒁᡤ᥋ゐᅽຊ pcell ࠿ࡽᒁᡤ᥋ゐ⇕᢬ᢠ rcell ࡢศᕸ࡜᥋ゐ㠃඲యࡢ⇕᢬ᢠ R ࢆ⟬ฟࡍࡿ᪉ἲࢆ⪃࠼ࡓ㸬௨ୗ㸪
2.2㹼2.4 ⠇࡟ࡣ㸪ᮏ㛤Ⓨᡭἲࢆලయⓗ࡟ㄝ᫂ࡍࡿ㸬 ᅽຊ ᐃ䝣䜱䝹䝮䜢฼⏝䛧䛯᥋ゐ⇕᢬ᢠホ౯㻌 ࠺ࡡࡾࡀ᭷ࡿ㒊ᮦࡢ᥋ゐ⇕᢬ᢠࢆホ౯ࡍࡿ᪉ἲ
ࢆᅗ 4㸪ཬࡧ㸪ᡭ㡰 1-1㹼1-4 ࡟♧ࡍ㸬(a) ᅽຊ

㻌ᐃࣇ࢕࣒ࣝ࡟ࡼࡿ᥋ゐᅽຊศᕸホ౯㻌㻌㻌(b)㻌 ᇶ‽ pcell - rcell ࢹ࣮ࢱ㻌ᅗ 2 㒊ᮦ⾲㠃࡟Ꮡᅾࡍࡿ࠺ࡡࡾ㻌(c)㻌 ᥋ゐ⇕᢬ᢠศᕸ࡬ࡢኚ᥮㻌ᅗ 4㻌 ࠺ࡡࡾ㠃ࡢ᥋ゐ⇕᢬ᢠࡢホ౯ᡭ㡰㻌ᅗ 3 ࠺ࡡࡾࢆ᭷ࡍࡿ㒊ᮦࡢ୙ᆒ୍᥋ゐఏ⇕ 2020 ᖺ 1 ᭶- 26 -J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫 ᇶ‽ pcell - rcell ࢹ࣮ࢱࡢྲྀᚓ᪉ἲ
 ᅗ 5 ࡟♧ࡍ㐣Ώ⇕᢬ᢠ ᐃ⿦⨨ࢆ⏝࠸࡚ pcell ࡜rcell ࡢ㛵ಀࢆྲྀᚓࡍࡿ᪉ἲࢆㄝ᫂ࡍࡿ㸬ᮏ᳨ウ࡛ࡣ㸪ඹ࡟࠺ࡡࡾࡀ↓࠸⣧ᗘ 96%࢔࣑ࣝࢼᇶᯈ㸦௨㝆㸪
Al2O3 㸦 96% 㸧 ࡜ グ ࡍ 㸧 ࡜ ࢔ ࣝ ࣑ ࢽ ࢘ ࣒ ྜ 㔠 ᯈ
A5052H34㸦௨㝆㸪A5052H34 ࡜グࡍ㸧ࢆᆒ୍࡞ᅽ
ຊ࡛ࢢ࣮ࣜࢫࣞࢫ᥋ゐࡉࡏ㸪ᇶ‽ pcell - rcell ࢹ࣮ࢱࢆྲྀᚓࡋࡓ㸬㐣Ώ⇕᢬ᢠ ᐃ࡛ࡣ㸪ᅗ 5 ࡟♧ࡍෆ㒊ࣄ࣮ࢱ࣮࠿ࡽ෭༷ࣉ࣮ࣞࢺ࡟⮳ࡿࡲ࡛ࡢ඲⇕᢬
ᢠࡀᅗ 7 ࡢᵓ㐀㛵ᩘ࡜࿧ࡤࢀࡿࢢࣛࣇ࡛ฟຊࡉࢀ
ࡿ㸬ࡇࡢ⤖ᯝ࡟ྵࡲࢀࡿ Al2O㸦
࡜ A5052H34
3 96%㸧ࡢ᥋ゐ㠃඲యࡢ⇕᢬ᢠ Rair ࢆᢳฟࡋ࡚ᚤᑠࢭࣝ࠶
ࡓࡾࡢ rcell ࡟㠃✚᥮⟬ࡍࡿ㸬Rair ࡜ rcell ࡢලయⓗ࡞ホ౯᪉ἲࢆᡭ㡰 2-1㹼2-3 ࡟グ㍕ࡍࡿ㸬Rg

RA5052
RAl2O3㻌 㐣Ώ⇕᢬ᢠ

ᐃ㒊ᐃ㒊ࡢᵓ㐀ᅗ

࠺ࡡࡾࡀ↓࠸ Al2O3㸦96%㸧࡜ A5052H34
ࢆᆒ୍࡞ᅽຊ࡛ࢢ࣮ࣜࢫሬᕸ᥋ゐࡉࡏࡓ࡜ࡁࡢ᥋ゐ⇕᢬ᢠ㻌㻌 㻌 㻌 㻌 [K/W]
A5052H34 ࡢ⇕᢬ᢠ  [K/W]
Al2O3㸦96%㸧ࡢ⇕᢬ᢠ  [K/W]ᅗ 5 㐣Ώ⇕᢬ᢠᡭ㡰 2-1 ⾲ 1 ࡟♧ࡍ⤌ࡳྜࢃࡏࡢヨ㦂∦ࢆ⏝࠸࡚㸪ᅗ 7 ࡢ᮲௳ 1 ࡜ 2 ࡢ඲⇕᢬ᢠࢆ ᐃࡍࡿ㸬᮲
௳ 1 ࡣ㸪ᆒ୍࡞ᅽຊ࡛ࡢ Al2O㸦
࡜ A5052H34
3 96%㸧
ࡢࢢ࣮ࣜࢫࣞࢫ᥋ゐ㸪᮲௳ 2 ࡣ㸪ᆒ୍࡞ᅽຊ࡛ࡢ
ࢢ࣮ࣜࢫሬᕸ᥋ゐ࡛࠶ࡿ㸬ࡑࢀࡒࢀࡢ඲⇕᢬ᢠࡢᕪ࠿ࡽ Rair – Rg ࢆồࡵࡿ㸬ᅗ 8 ࡟ ᐃ౛ࢆ♧ࡍ㸬ᡭ㡰 2-2 ᡭ㡰 2-1 ࡜ྠࡌヨ㦂∦ࢆ⏝࠸࡚㸪ᅗ 9
ࡢ᮲௳ 3 ࡜ 4 ࡢ඲⇕᢬ᢠࢆ ᐃࡋ㸪ྛ᮲௳ࡢ඲⇕᢬ᢠࡢᕪ࠿ࡽ 2Rg+RA5052+RAl2O3 ࢆồࡵࡿ㸬ᅗ 10ࡣ㸪 ᐃࡢ୍౛࡛࠶ࡿ㸬ࡇࡇ࡛ RA5052 ࡜ RAl2O3 ࡣヨ㦂∦ࡢᑍἲ࡜⇕ఏᑟ⋡࠿ࡽ᪤▱࡛࠶ࡿࡓࡵ㸪Rgࢆ≉ᐃ࡛ࡁࡿ㸬㻌 㻌
ᡭ㡰 2-3 ᡭ㡰 2-1 ࡜ 2-2 ࡛ồࡵࡓ Rair – Rg ࡜ Rg ࢆྜィࡋ࡚ Rair ࢆ⟬ฟࡋ㸪ࡑࡢᚋ㸪Rair ࢆᚤᑠࢭࣝ࠶
ࡓࡾࡢᒁᡤ᥋ゐ⇕᢬ᢠ rcell ࡟㠃✚᥮⟬ࡍࡿ㸬㻌ᡭ㡰 2-1㹼2-3 ࡣ㸪⿦⨨ࡢຍᅽᶵᵓ࡟ࡼࡗ࡚ pm ࢆ୍ᐃ࡟ไᚚࡋ࡞ࡀࡽᐇ᪋ࡍࡿ㸬ヨ㦂∦ࡀᆒ୍᥋ゐࡋ࡚࠸ࡿ≧ែ࡛ࡣ pm = pcell ࡜ぢ࡞ࡏࡿࡓࡵ㸪pcellࢆㄪ⠇ࡋ࡞ࡀࡽ rcell ࢆྲྀᚓ࡛ࡁࡿ㸬ୖグࡢᡭ㡰ࢆᅽຊ࡜ヨ㦂∦ࡢ⤌ࡳྜࢃࡏࢆኚ࠼࡚⧞ࡾ㏉ࡍࡇ࡜࡛㸪pcell = 0.3㹼8.0 MPa ࡢ࡜ࡁࡢ rcell ࢆྲྀᚓࡋࡓ㸬ఏ⇕ 2020 ᖺ 1 ᭶ᐃ⿦⨨㸸ᅗ 6 㐣Ώ⇕᢬ᢠᐃ⿦⨨ᐃ࡟ࡼࡾồࡵࡓᵓ㐀㛵ᩘ⾲ 1 ᇶ‽ pcell - rcell ࢹ࣮ࢱࡢྲྀᚓ࡟౑⏝ࡋࡓヨ㦂∦ᖹᆒ᥋ゐᅽຊ
pm [MPa]ヨ㦂∦ࡢ⤌ࡳྜࢃࡏ
B

C

0.3㹼1.0

1.0㹼3.4

4.0㹼8.0

ᮦ㉁

Al2O3
(96%)

A5052
H34

Al2O3
(96%)

A5052
H34

Al2O3
(96%)

A5052
H34

⇕ఏᑟ⋡
Ȝ [W/(m·K)]

22.6

140

22.6

140

22.6

140

0.074

0.094

0.220

0.278

0.736

0.928

㸫

76

㸫

76

㸫

76

┤ᚄ d

22

22

12.8

12.8

7

7

ཌࡳ t

0.64

5

0.64

5

0.64

5

0.66
㹼
0.69
2.5
㹼
2.7

0.86
㹼
0.95
1.6
㹼
2.4

0.46
㹼
0.66
1.0
㹼
1.9

0.78
㹼
1.01
1.8
㹼
2.8

0.46
㹼
0.61
0.9
㹼
1.8

0.80
㹼
0.91
1.5
㹼
2.2

⇕᢬ᢠ [K/W]
RAl2O3 RA5052
ࣅࢵ࣮࢝ࢫ◳ࡉ Hv [MPa]
እᙧ
ᑍἲ
[mm]

⾲㠃
ᙧ≧
>ȝP@

⢒ࡉ Sa

࠺ࡡࡾ
㧗పᕪ
h
ヨ㦂∦ࡢ⤌ᩘ

- 27 -A

2

3

2

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫㻌㻌

ᅗ 7 ᡭ㡰 2-1 ࡢ㻌ᅗ 9 ᡭ㡰 2-2 ࡢ
㻌

ᐃ᮲௳㻌

ᐃ᮲௳㻌

㻌
ᅗ 8 ᡭ㡰 2-1 ࡢ㻌ᐃ౛㸦㻌 pm = pcell = 1.5MPa㸧ᅗ 10 ᡭ㡰 2-2 ࡢᐃ౛㸦 pm = pcell = 1.5MPa㸧 ᇶ‽ pcell - rcell ࢹ࣮ࢱࡢホ౯⤖ᯝ 2.3 ⠇ࡢ᪉ἲ࡟ࡼࡗ࡚ᚓࡽࢀࡓᒁᡤ᥋ゐᅽຊ pcell࡜ᒁᡤ᥋ゐ⇕᢬ᢠ rcell ࡢ㛵ಀࢆ㸪ᅗ 11 ࡢᐇ ್࡟♧ࡍ㸬ᐇ ⤖ᯝ࠿ࡽᘧ㻌 (5) ࡢ㏆ఝᘧࡀᚓࡽࢀࡓ㸬ࡇࡢᘧࢆᅗ 4 (b) ࡢᇶ‽ pcell - rcell ࢹ࣮ࢱ࡜ࡋ࡚฼
⏝ࡍࡿ㸬
㻌
㻌
㻌
ࡲࡓᅗ
㻌 11 ࡟ࡣ㸪ᶲ·బ㔝ᕝࡢᘧ࡟ᇶ࡙ࡃண ᘧ㻌 (3)ࢆᚤᑠࢭࣝ࡟㐺⏝ࡋࡓ⤖ᯝࡶ♧ࡍ㸬ࡇࡢண ್ࡣ㸪ᘧ୰ࡢ į ࡟ヨ㦂∦⾲㠃ෆࡢ⟬⾡ᖹᆒ㧗ࡉ Sa ࡢ 1㹼
4 ಸࡢ್㸪pm ࡟ᚤᑠࢭࣝࡢᒁᡤ᥋ゐᅽຊ pcell㸪S ࡟ᚤᑠࢭࣝࡢ㠃✚ࢆ௦ධࡋ࡚ᚓࡓ⤖ᯝ࡛࠶ࡿ㸬pcell
ࡀ 2MPa ௨ୖ࡛ࡣ㸪ᚑ᮶ࡢண ᘧ (3) ࡟ į = Sa ࢆ௦ධࡋࡓண ್࡜ᐇ ್ࡀᴫࡡ㏆࠸್ࢆ♧ࡋ㸪
2MPa ௨ୗ࡛ࡣᐇ ࡟ẚ࡭࡚ண ್ࡀపࡃ࡞ࡗࡓ㸬㻌ఏ⇕ 2020 ᖺ 1 ᭶- 28 -

㻌ᅗ 11 ᇶ‽ pcell - rcell ࢹ࣮ࢱண ᘧ୰ࡢ 1/h0 ࡟ࡣᘧ (2) ࡟♧ࡍ୍ᐃ್ࢆ୚࠼ࡓ
ࡀ㸪㐣ཤࡢ◊✲࡟ࡼࡿ࡜పᅽ㡿ᇦ࡛ࡣ h0 ࡀᛴ⃭࡟ቑຍࡍࡿ࡜⪃ᐹࡉࢀ࡚࠸ࡿ[2]㸬h0 ࡢᛴ⃭࡞ኚ໬࡟ࡼࡾ㸪ᐇ ್࡜ண ್ࡀ஋㞳ࡋࡓ࡜᥎ ࡉࢀࡿ㸬

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫

㸱㸬㛤Ⓨᡭἲࡢጇᙜᛶ᳨ド ᳨ド᪉ἲ ᮏ㛤Ⓨᡭἲ࡟ࡼࡾồࡵࡓ᥋ゐ⇕᢬ᢠࡢጇᙜᛶࢆ
㐣Ώ⇕᢬ᢠ ᐃࡢ⤖ᯝ࡜ࡢẚ㍑࡟ࡼࡾ᳨ドࡋࡓ㸬᥋ゐ⇕᢬ᢠࡢ ᐃᑐ㇟ࡣ㸪࠺ࡡࡾࡀ᭷ࡿ Al2O3
㸦96%㸧࡜࠺ࡡࡾࡀ↓࠸ A5052H34 ࡢࢢ࣮ࣜࢫࣞࢫ᥋ゐ㠃࡜ࡋࡓ㸬࡞࠾㸪ᮏ㛤Ⓨᡭἲ࡛฼⏝ࡍࡿᇶ‽pcell - rcell ࢹ࣮ࢱ࡟ࡣ㸪ᅗ 11 ࡟♧ࡍᐇ ⤖ᯝ࡟ᇶ࡙ࡃ㏆ఝᘧ㻌 (5) ࠿ࡽồࡵࡓ್࡜㸪ᶲ·బ㔝ᕝࡢᘧ࡟ᇶ࡙ࡃண ᘧ (3) ࢆᚤᑠࢭࣝ࡟㐺⏝ࡋ į = Sa ࢆ௦ධࡋ࡚ồࡵࡓ್ࡢ㸪2 ㏻ࡾࢆ㐺⏝ࡋࡓ㸬ྛᡭἲ࠿ࡽ
ᚓࡽࢀࡓ᥋ゐ㠃඲యࡢ⇕᢬ᢠࡣ㸪ୗグࡢグྕ Rwpm㸪
Rwpn㸪Rwair ࢆ⏝࠸࡚⾲ࡍ㸬Rwpm ࡜ Rwpn㸪Rwair ࡢලయⓗ࡞ホ౯᮲௳ࢆ௨ୗ࡟㏙࡭ࡿ㸬
Rwpm
Rwpn

㛤Ⓨᡭἲ࡛ホ౯ࡋࡓ᥋ゐ⇕᢬ᢠ [K/W]ᇶ‽ࢹ࣮ࢱ㸸ᅗ 11 ㏆ఝᘧ (5)㛤Ⓨᡭἲ࡛ホ౯ࡋࡓ᥋ゐ⇕᢬ᢠ [K/W]ᇶ‽ࢹ࣮ࢱ㸸ᅗ 11 ண ್·ᘧ (3) ț

=Sa
Rwair

㐣Ώ⇕᢬ᢠ

ᐃ࡛ホ౯ࡋࡓ᥋ゐ⇕᢬ᢠ
[K/W]

Rwpm ࡜ Rwpn ࡢホ౯᮲௳㻌 ᅗ 12 ࡟♧ࡍࡼ࠺࡟㸪࠺ࡡࡾࡀ᭷ࡿ Al2O3㸦96%㸧
࡜࠺ࡡࡾࡀ↓࠸ A5052H34 ࢆࢢ࣮ࣜࢫࣞࢫ᥋ゐࡉࡏࡓ࡜ࡁࡢ୙ᆒ୍᥋ゐᅽຊࢆᅽຊ ᐃࣇ࢕࣒࡛ࣝホ౯ࡋࡓ㸬㐣Ώ⇕᢬ᢠ ᐃ⿦⨨ࡢຍᅽᶵᵓࢆ฼⏝ࡍࡿࡇ࡜࡛ Al2O3㸦96%㸧࡜ A5052H34 ࡢ᥋ゐ㠃඲యࡢᖹᆒ᥋ゐᅽຊ pm ࢆ 0.5㸪0.75㸪1.0㸪2.5㸪3.4MPa
࡟ไᚚࡋ㸪ྛᅽຊ᮲௳࡛ࡢ᥋ゐᅽຊศᕸࢆ ᐃࡋࡓ㸬ࡑࡢᚋ㸪2.2 ⠇ࡢᡭ㡰 1-1㹼1-4 ࡟ἢࡗ࡚ᚤᑠ
ࢭࣝࡢ pcell 㸪rcell ࢆồࡵ㸪Rwpm ࡜ Rwpn ࢆᚓࡓ㸬᳨ド࡟ࡣ㸪⾲ 2 ࡟♧ࡍヨ㦂∦ࢆ౑⏝ࡋࡓ㸬࡞࠾㸪ᅽຊศᕸ ᐃࡢ㝿ࡣ㸪⿦⨨ࡢෆ㒊ࣄ࣮ࢱ࣮࡟ࡼࡿຍ
⇕ࡣࡏࡎ㸪㐣Ώ⇕᢬ᢠ ᐃࡶ⾜ࢃ࡞࠸㸬ᅗ 12 ୙ᆒ୍᥋ゐᅽຊࡢホ౯㻌㻌⾲ 2 ጇᙜᛶ᳨ド࡟౑⏝ࡋࡓヨ㦂∦ヨ㦂∦ࡢ⤌ྜࡏᖹᆒ᥋ゐᅽຊ
pm [MPa]0.5 0.75 1.0 2.5 3.4

ᮦ㉁

Al2O3(96%)

A5052H34⇕ఏᑟ⋡Ȝ[W/(m·K)]

22.6

140

⇕᢬ᢠ
RAl2O3 RA5052 [K/W]

0.220

0.278

ࣅࢵ࣮࢝ࢫ◳ࡉ Hv [MPa]

㸫

76

እᙧ
ᑍἲ
[mm]

┤ᚄ d

12.8

12.8

ཌࡳ t

0.64

5.0

⾲㠃
ᙧ≧
>ȝP@

⢒ࡉ Sa

0.33 㹼 0.63

0.78

࠺ࡡࡾ㧗పᕪ h

16.1 㹼 19.3

2.8

3

ヨ㦂∦ࡢ⤌ᩘ

㻌

Rwair ࡢホ౯᮲௳㻌 Rwpm ࡜ Rwpn ࡢホ౯࡜ྠࡌヨ㦂∦ࢆ౑⏝ࡋ㸪㐣Ώ⇕᢬ᢠ ᐃ࡟ࡼࡗ࡚ Rwair ࢆྲྀᚓࡋࡓ㸬Rwair ࡢ ᐃࡣ㸪2.3 ⠇࡜ྠᵝࡢᡭ㡰࡟ࡼࡾ⾜ࡗࡓ㸬ࡇࡢ࡜ࡁ
2.3 ⠇୰ࡢグྕ Rair ࡣ㸪࠺ࡡࡾࡀ᭷ࡿヨ㦂∦ࢆ᥋ゐࡉࡏࡓሙྜࡢ᥋ゐ⇕᢬ᢠ Rwair ࡟⨨ࡁ᥮࠼࡚⪃࠼ࡿ㸬ࡲࡓᖹᆒ᥋ゐᅽຊ pm ࡣ㸪Rwpm ࡜ Rwpn ࡢホ౯࡜ྠࡌ᮲௳࡜ࡋࡓ㸬ఏ⇕ 2020 ᖺ 1 ᭶

㻌- 29 -

 ホ౯⤖ᯝ Rwpm ࡜ Rwpn 㸪Rwair ࡢ⤖ᯝࢆᅗ 13 ࡟♧ࡍ㸬㛤Ⓨᡭἲ࡟ࡼࡾᚓࡽࢀࡓ Rwpm ࡣ㸪ᖹᆒ᥋ゐᅽຊ pm ࡀ
0.5㹼3.4MPa ࡢ඲࡚ࡢ⠊ᅖ࡟࠾࠸࡚㸪㐣Ώ⇕᢬ᢠᐃ࡛ホ౯ࡋࡓ᥋ゐ⇕᢬ᢠ Rwair ࡜ᴫࡡ್ࡀ୍⮴ࡋࡓ㸬ࡇࡢࡇ࡜࠿ࡽ Rwpm ࡣጇᙜ࡜⪃࠼ࡽࢀࡿ㸬ḟ࡟ Rwair ࡜ Rwpn ࢆẚ㍑ࡍࡿ࡜㸪pm ࡀ 2.5㹼
3.4MPa ࡢ⠊ᅖ࡛ࡣ್ࡀᴫࡡ୍⮴ࡋࡓࡀ㸪1MPa ௨ୗࡢᅽຊ⠊ᅖ࡛ࡣ⤖ᯝࡀ஋㞳ࡋࡓ㸬ඛ㏙ࡢ㏻ࡾ㸪
Rwpn ࡢᇶ‽ࢹ࣮ࢱ࡟ࡣ㸪ᶲ·బ㔝ᕝࡢᘧ࡟ᇶ࡙ࡃண
ᘧ(3)ࢆᚤᑠࢭࣝ࡟㐺⏝ࡋ į = Sa ࢆ௦ධࡋ࡚ᚓࡓ
್ࢆ౑⏝ࡋ࡚࠸ࡿ㸬ࡋࡓࡀࡗ࡚㸪1MPa ௨ୗࡢᅽຊ⠊ᅖ࡟࠾ࡅࡿ Rwair ࡜ Rwpn ࡢ஋㞳ࡣ㸪ᅗ 11 ࡢ
2MPa ௨ୗࡢᅽຊ࡛ rcell ࡢண ್࡜ᐇ ್ࡀ୍⮴ࡋ࡚࠸࡞࠸ࡇ࡜࡟㉳ᅉࡋ࡚࠸ࡿ࡜᥎ᐹࡉࢀࡿ㸬

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫㻌࠺ࡡࡾࡀ↓࠸ A5052H34 ᮦ࡜ࢆࢢ࣮ࣜࢫࣞࢫ᥋ゐࡉࡏࡓሙྜࡢ᥋ゐ㠃඲యࡢ⇕᢬ᢠࡢホ౯࡟㐺⏝ࡋࡓ⤖ᯝ㸪㐣Ώ⇕᢬ᢠ ᐃ࡜ྠ➼ࡢ್ࡀᚓࡽࢀ㸪ᮏᡭἲࡢጇᙜᛶࢆ☜ㄆࡋࡓ㸬࠺ࡡࡾࢆ᭷ࡍࡿ㒊ᮦࡢ᥋ゐ⇕᢬ᢠࡢホ౯ᡭἲ࡜ࡋ
࡚᭷ຠ࡞ᡭẁ࡛࠶ࡿࡀ㸪pcell ࢆ rcell ࡟ኚ᥮ࡍࡿ
ࡓࡵࡢᇶ‽ pcell - rcell ࢹ࣮ࢱࡣ㸪ホ౯ᑐ㇟㒊ᮦ
ࡢᮦ㉁ࡸ⾲㠃⢒ࡉ㸪௓ᅾ≀㉁ࡢ᮲௳࡟ᑐᛂࡋ
ࡓ pcell ࡜ rcell ࡢ㛵ಀࢆ౑⏝ࡍࡿᚲせࡀ࠶ࡿ㸬㸦3㸧௒ᚋ㸪᥋ゐ㠃࡟࡛ࡁࡿᅽ⑞࡞࡝ࡢほᐹ࠿ࡽ┿ᐇ᥋ゐ㠃✚ࡸ᥋Ⅼ࡟࠾ࡅࡿఏ⇕⌧㇟ࢆศᯒࡋ㸪ᐇ㝿ࡢ᥋ゐ≧ែࢆ⪃៖ࡋࡓ⇕᢬ᢠࡢண ᘧࡢᵓ⠏ࢆヨࡳࡿ㸬ࡇࢀ࡟ࡼࡾ㸪ᵝࠎ࡞ᮦ㉁ࡸ⾲㠃⢒ࡉ࡟ᛂࡌࡓᇶ‽ࢹ࣮ࢱࢆ᥎ᐃ࡛ࡁࡿࡼ࠺
࡟ࡋ࡚࠸ࡃ㸬㸲㸬⤖ゝ㸦1㸧ᅽຊ ᐃࣇ࢕࣒ࣝ࡟ࡼࡾồࡵࡓ᥋ゐᅽຊศᕸࢆ⏝࠸㸪࠺ࡡࡾࢆ᭷ࡍࡿ㒊ᮦࡢ᥋ゐ⇕᢬ᢠࢆ
ホ౯ࡍࡿ᪂ࡋ࠸ᡭἲࢆ㛤Ⓨࡋࡓ㸬ᮏᡭἲ࡛ࡣ㸪㒊ᮦྠኈࡢ᥋ゐ㠃ࢆ࠺ࡡࡾࡀ↓ど࡛ࡁࡿ⛬ᗘࡢᚤᑠࢭࣝ࡟ศ๭ࡋ㸪ࡇࡢ㒊ศ࡟ᚤᑠࢭࣝࡢᒁᡤ᥋ゐᅽຊ pcell ࡜ᒁᡤ᥋ゐ⇕᢬ᢠ rcell ࡢ㛵ಀࢆ㐺⏝ࡍࡿࡇ࡜࡟ࡼࡾ㸪᥋ゐ㠃඲యࡢ᥋ゐ⇕᢬ᢠ R ࢆồࡵࡿࡇ࡜ࢆྍ⬟࡜ࡋࡓ㸬
㸦2㸧ᮏᡭἲࢆ㸪࠺ࡡࡾࢆ᭷ࡍࡿ Al2O3㸦96%㸧ᮦ࡜ཧ⪃ᩥ⊩
[1] బ㔝ᕝዲẕ㻌 䇾㔠ᒓ᥋ゐ㠃࡟࠾ࡅࡿఏ⇕࡟㛵ࡍࡿ◊✲㸦➨ 4 ሗ㸪᥋ゐ㠃ࡢ⾲㠃࠶ࡽࡉࡢᙧ≧·࠺ࡡࡾࡢᙳ㡪࡜᥋ゐ⇕᢬ᢠࡢ㏆ఝィ⟬ἲ㸧䇿᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟㸦➨ 2 㒊㸧㻌[2] ᐩᮧᑑኵ㸪ᑠ⣒ᗣᚿ㻌 䇾᥋ゐ⇕᢬ᢠࡢホ౯ἲ࡟㛵ࡍࡿ᳨ウ㸦పᅽୗ࡛ࡢ⢒ࡉࢆ᭷ࡍࡿᖹ㠃㛫ࡢ᥋ゐ㸧䇿 ᪥ᮏᶵᲔᏛ఍ㅮ₇ㄽᩥ㞟㻌 No.138-3[13-9-28㸪㮵ඣᓥㅮ₇఍]㻌ᅗ 13 㛤Ⓨᡭἲ࡜㐣Ώ⇕᢬ᢠఏ⇕ 2020 ᖺ 1 ᭶

ᐃࡢẚ㍑㻌

- 30 -J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫ឤ⇕༳ๅࣉࣟࢭࢫ࡟ᙳ㡪ࡍࡿ᥋ゐ⇕᢬ᢠࡢホ౯
Evaluation of Effects of Contact Thermal Resistanceon Direct Thermal Printing Process⚟Ụ 㧗ᚿ㸦㔠ἑᕤᴗ኱Ꮫ㸧
Takashi FUKUE (Kanazawa Institute of Technology)
e-mail: fukue@neptune.kanazawa-it.ac.jp㸯㸬ࡣࡌࡵ࡟
 ឤ⇕༳ๅࡢ᫖௒ࡢᴫἣ
ᵝࠎ࡞ࡶࡢ࡙ࡃࡾ࡟࠾࠸࡚᥋ゐ⇕᢬ᢠࡢၥ㢟ࡀᩓぢࡉࢀ㸪〇ရࡢ᭱⤊ⓗ࡞ရ㉁ࢆᕥྑࡍࡿࡇ࡜ࡀ
ᑡ࡞ࡃ࡞࠸㸬⇕ⓗ࡞୙ලྜࢆ㑊ࡅࡿࡓࡵࡢ ᗘ⟶⌮ࡢほⅬ࡛ࡶ㸪⇕ࢆ౑ࡗࡓ࢔ࣉࣜࢣ࣮ࢩࣙࣥࡢ㉁ྥୖ࡟ྥࡅ࡚ࡶ㸪⇕タィ࡟࠾࠸࡚᥋ゐ⇕᢬ᢠࡢᙳ㡪ࢆホ౯ࡍࡿࡇ࡜ࡣኚࢃࡽࡎ㔜せ࡛࠶ࡿ㸬᥋ゐ⇕᢬ᢠࡀ౑⏝⪅ࡢ‶㊊ᗘ࡟┤᥋ⓗ࡟ᙳ㡪ࡍࡿ࢔ࣉࣜࢣ࣮ࢩࣙࣥࡢ஦౛࡜ࡋ࡚㸪ឤ⇕༳ๅ
㸦Direct Thermal Printing : DTP㸧ࡀ࠶ࡿ㸬ឤ⇕༳ๅࡣ㸪ࢧ࣮࣐ࣝ࣊ࢵࢻ࡜࿧ࡤࢀࡿຍ⇕యࢆ⏝࠸㸪༳ๅ⏝⣬㸦௨ୗ㸪⏝⣬㸧࡟ሬᕸࡉࢀࡓⰍ⣲ࢆ⇕࡛ኚⰍࡉࡏ㸪ᩥᏐࡸ⏬ീࢆ༳ๅࡍࡿࣉࣜࣥࢱ࡛࠶ࡿ㸬᫖௒ࡢືྥ[1]࡜ࡋ࡚㸪࣏࣮ࢱࣈࣝ PoS㸦Point ofSale㸧➃ᮎ࡟ᐇ⿦ࡉࢀࡿࣞࢩ࣮ࢺ⏝ࣉࣜࣥࢱࡸ≀ὶ⟶⌮⏝ࡢࣂ࣮ࢥ࣮ࢻࣉࣜࣥࢱࡢ㟂せࡀ㸪ࢿࢵࢺ
㏻㈍ࡢᣑ኱࡟ࡼࡾᛴ㏿࡟ቑຍࡋ㸪ᑠᆺ໬࡛ࡁ࡚࢖
ࣥࢡࡀ୙せ࡜࠸࠺࣓ࣜࢵࢺ࠿ࡽឤ⇕༳ๅࡀ౑ࢃࢀ
࡚࠸ࡿ㸬ࡲࡓᾏእࢆ୰ᚰ࡟ࠕࡑࡢሙࣉࣜࣥࢺࠖࡀ
ྍ⬟࡞࣏࣮ࢱࣈ࣭ࣝࣇ࣮ࣝ࢝ࣛࣉࣜࣥࢱࡀேẼࢆ
㞟ࡵ㸪ZINKTM[2]࡞࡝ࡢ᪂ࡋ࠸ឤ⇕༳ๅᢏ⾡ࡀぢࡽࢀࡿ㸬ឤ⇕༳ๅࡣ㌟㏆࡞༳ๅᢏ⾡࡜ࡋ࡚ఏ⇕ศ㔝࡛ࡢ◊✲஦౛ࡶከࡃ㸪▼ሯ[3]㸪ᮃ᭶ࡽ[4]ࡢఏ⇕ࣉࣟࢭࢫࡢ◊✲㸪Ụ㢌ࡽࡢ⇕㌿෗ࣉࣟࢭࢫࡢ◊✲[5]㸪኱ཎࡽࡢ⏝⣬ࡀ྾‵ࡍࡿࡇ࡜࡟ࡼࡿ࣮࢝ࣝࡢ
ホ౯[6]ࡸ㸪᪂⏣ࡽࡢ⇕㌿෗ࢆᛂ⏝ࡋࡓ⏝⣬ࡢ⇕ఏᑟ⋡ホ౯ἲ[7]࡞࡝ከᩘሗ࿌ࡀ࠶ࡿ㸬 ឤ⇕༳ๅ࡜ఏ⇕᫖௒ࡢ࣏࣮ࢱࣈ࣭ࣝࣇ࣮ࣝ࢝ࣛࣉࣜࣥࢱࡢ㝯┒ࡶ㚷ࡳ㸪༳ๅᢏ⾡ࡢ᪂ࡋ࠸㨩ຊရ㉁ࡢ๰ᡂ࡟ྥࡅ㸪ឤ⇕༳ๅࡢࢡ࢜ࣜࢸ࢕ྥୖࡢࡓࡵࡢᇶ♏◊✲ࡀồࡵࡽࢀࡿ㸬ឤ⇕༳ๅࢆ➃ⓗ࡟࢖࣓࣮ࢪᅗ࡜⇕ᅇ㊰⥙࡛⾲ࡍ࡜ᅗ 1 ࠾ࡼࡧᅗ 2 ࡢࡼ࠺࡟࡞ࡿ㸬ࢻࢵࢺࣄ࣮ࢱ㸦ᚤ⣽࡞᢬ᢠయ㸧ࡀከᩘᐇ⿦ࡉࢀࡓࢧ࣮࣐
ࣝ࣊ࢵࢻ࡜࿧ࡤࢀࡿ༳ๅᶵ࡜㸪ࣉࣛࢸ࣮ࣥࣟࣛࡢ

ఏ⇕ 2020 ᖺ 1 ᭶

Platen roller

Driver IC

Dot heater

Paper

Grazed layer &Alumina substrateᅗ 1 ឤ⇕༳ๅᶵᵓࡢ࢖࣓࣮ࢪ
Heat leak toplaten roller

Thermophysicalproperties of the paper

Platen roller

F
Contact
resistancePaper
Dot heater
Substrate

Structure of
dot heater

Heat leak tothermal headᅗ 2 ឤ⇕༳ๅࣉࣟࢭࢫࡢ⇕ᅇ㊰⥙㛫ࢆ㸪Ⰽ⣲ࢆሬᕸࡋࡓឤ⇕⣬ࡀ㏻㐣ࡍࡿ㸬ࡇࡢ࡜ࡁ㸪༳ๅࡍࡿᩥᏐࡸ⏬ീ࡟ᛂࡌ㸪ᑐᛂࡍࡿࢻࢵࢺ
ࣄ࣮ࢱࢆ㏻㟁ຍ⇕ࡉࡏ㸪ឤ⇕⣬࡟⇕ࢆຍ࠼ࡿ㸬ឤ⇕⣬࡟ሬᕸࡉࢀࡓⰍ⣲ࡀ⇕࡟ࡼࡾኚⰍࡋ㸪ࡑࡢ⤖ᯝ㸪⏝⣬࡟ᩥᏐࡸ⏬ീࡀ༳ๅࡉࢀࡿ㸪࡜࠸࠺ࡢࡀ
ᇶᮏⓗ࡞ཎ⌮࡛࠶ࡿ㸬ࣞࢩ࣮ࢺ⏝ࡢឤ⇕⣬࡛࠶ࢀࡤ㸪ຍ⇕࡟ࡼࡾ㯮Ⰽ࡟ኚⰍࡍࡿࣟ࢖ࢥⰍ⣲ࡀሬᕸ- 31 -J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫⾲ 1 ᐇ㦂࡟౪ࡋࡓ༳ๅ⏝⣬ࡢ᩿㠃ᅗ
Type of paper
Thickness [mm]Thermal paper (TH)0.05ࡉࢀ࡚࠾ࡾ㸪ࢻࢵࢺࣄ࣮ࢱ࡟ࡼࡿຍ⇕࡛㯮ࡀ༳ๅࡉࢀࡿ㸬ࣞࢩ࣮ࢺࡢ༳ๅ㠃ࢆ∎࡛᧿ࡿ࡜㯮ࡃኚⰍࡍࡿࡀ㸪ࡇࢀࡣ∎࡜ࣞࢩ࣮ࢺࡢ㛫࡛Ⓨ⏕ࡍࡿᦶ᧿⇕࡟ࡼࡾ㸪ࣟ࢖ࢥⰍ⣲ࡀኚⰍࡍࡿࡓࡵ࡛࠶ࡿ㸬᫖௒ࡢࣇ࣮ࣝ࢝ࣛឤ⇕༳ๅ࡛㸪౛࠼ࡤ⇕㌿෗ᆺࡢࣉࣜࣥࢱ࡛ࡣ㸪ࢩ࢔࣭࣐ࣥࢮࣥࢱ࣭࢖࢚࣮ࣟࡢ୕Ⰽ
ࡢ࢖ࣥࢡࣜ࣎ࣥࢆ㡰␒࡟ຍ⇕ࡋ㸪༳ๅ⏝⣬࡟ሬᩱࢆ㌿෗ࡍࡿࡇ࡜࡛༳ๅࡍࡿ㸬ZINKTM ᢏ⾡࡛ࡣ㸪ࢻࢵࢺࣄ࣮ࢱ࠿ࡽࡢຍ⇕ᒚṔ࡟ࡼࡾ㸪⏝⣬࡟ሬᕸࡉࢀࡓࢩ࢔࣭࣐ࣥࢮࣥࢱ࣭࢖࢚࣮ࣟྛᒙࡢⰍ⣲ࡀ
ⓎⰍࡋࣇ࣮ࣝ࢝ࣛ༳ๅࢆ㐩ᡂࡍࡿ㸬ࡼࡗ࡚㸪ࢻࢵࢺࣄ࣮ࢱ࠿ࡽ⏝⣬࡟ຍ⇕ࡉࢀࡿ㝿ࡢఏ⇕ࣉࣟࢭࢫࡀ㸪ᩥᏐࡸ⏬ീࡢ㩭᫂ࡉࡸⰍࡢ⥡㯇ࡉ࡟┤⤖ࡍࡿ㸬 ឤ⇕༳ๅ࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠࡢホ౯௨ୖࡢ⫼ᬒ࠿ࡽ㸪ឤ⇕༳ๅࡢ㨩ຊရ㉁ࢆ⋓ᚓࡍࡿ࣮࢟ࡢ 1 ࡘࡀ㸪ࢧ࣮࣐ࣝ࣊ࢵࢻ࡜⏝⣬ࡢ㛫࡛Ⓨ⏕ࡍࡿ᥋ゐ⇕᢬ᢠࡢᙳ㡪࡛࠶ࡿ㸬ឤ⇕༳ๅࡢཝᐦ
࡞⇕タィ࡟ࡣ㸪᥋ゐ⇕᢬ᢠࡢᐃ㔞ⓗ࡞ホ౯ࢆఱ࠿ࡋࡽࡢᙧ࡛⧊ࡾ㎸ࡴࡇ࡜ࡀ⫢せ࡛࠶ࡿ㸬ࡋ࠿ࡋ࡞ࡀࡽ㸪᭱⤊〇ရࡑࡢࡶࡢ࡛Ⓨ⏕ࡍࡿ᥋ゐ⇕᢬ᢠࡢᵝ┦ࢆ㸪⇕タィࡢ㐣⛬࡛㸪ᐃ㔞ⓗ࡟࠿ࡘཝᐦ࡟⧊
ࡾ㎸ࡴࡇ࡜ࡣ㞴ࡋ࠸㸬ࡋ࠿ࡋ⇕タィࡢฟᡠࡾࡢᅇ
㑊[8]ࡸ㸪㨩ຊရ㉁ࡢ๰ᡂ[9]ࢆ┠ᣦࡋࡓᵓ᝿タィẁ㝵࡛ࡢ⇕タィࡢసࡾ㎸ࡳࢆ⪃࠼ࡓ㝿࡟㸪〇ရ࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠࡢᙳ㡪ࢆ⡆᫆࡟ホ౯࡛ࡁࡿᣦᶆࡀ
࠶ࡿࡇ࡜ࡣ㸪᭱⤊〇ရࡢ➇தຊྥୖ࡟᭷┈࡛࠶ࡿ㸬ࡉࡽ࡟㸪ࣉࣜࣥࢱࡢタィ࡟࠾࠸࡚ࡶ㸪ᶵ⬟࡛ࣞ࣋ࣝ」ྜⓗ࡞タィせ⣲ࢆ୍ඖⓗ࡟タィࡍࡿࣔࢹࣝ࣋
࣮ࢫ㛤Ⓨ㸦Model-Based Development : MBD㸧ࡢ㐺⏝஦౛ࡀᩓぢࡉࢀ࡚࠸ࡿ[10]୰࡛㸪᥋ゐ⇕᢬ᢠࡢ⡆᫆ⓗ࡞ᶵ⬟ࣔࢹࣝࡢᵓ⠏࡟ࡶ⧅ࡆࡽࢀࡿ㸬 ࡑࡇ࡛ᮏ✏࡛ࡣ㸪≉࡟ឤ⇕༳ๅ࡟࠾࠸࡚Ⓨ⏕ࡍࡿ᥋ゐ⇕᢬ᢠࡢᙳ㡪ᗘࢆ㸪ᵓ᝿タィẁ㝵࡟࠾࠸࡚ᶵ⬟࡛ࣞ࣋ࣝホ౯ุ࣭᩿࡛ࡁࡿタィᣦᶆࡢ⋓ᚓࢆ┠ᣦࡋࡓ 2 ࡘࡢ◊✲஦౛࡟ࡘ࠸࡚⤂௓ࡍࡿ㸬

Xerographic paper (XG)
0.065High grade paper (HG)
0.1
Thermal transfer paper (TT)0.2
Inkjet paper (IP)0.3(a) ᐇ㦂⣔ࡢᴫ␎ᅗTemperaturerise [K]p60㸰㸬ࢧ࣮࣐ࣝ࣊ࢵࢻᐇᶵ࡟࠾ࡅࡿ⇕ᅇ㊰⥙ἲࢆే⏝ࡋࡓ᥋ゐ⇕᢬ᢠࡢண  ㄢ㢟ࡢẼ࡙ࡁࡢࡁࡗ࠿ࡅ
ឤ⇕༳ๅ࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠࡢㄢ㢟ࢆ⪃࠼ࡿࡁࡗ࠿ࡅ࡟࡞ࡗࡓࡢࡣ㸪ឤ⇕༳ๅࡢ༳Ꮠရ㉁ྥୖ࡜
༳ๅ᫬ࡢᾘ㈝㟁ຊపῶࡢࡓࡵࡢຍ⇕ࣉࣟࢭࢫࢆ⪃࠼ࡿ࠺࠼࡛㸪ࢧ࣮࣐ࣝ࣊ࢵࢻ࡛⏝⣬ࢆຍ⇕ࡋࡓ㝿ࡢ ᗘᛂ⟅≉ᛶࡀ⏝⣬ࡢ✀㢮࡟ࡼࡗ࡚ᴟ➃࡟␗࡞ఏ⇕ 2020 ᖺ 1 ᭶

Heat-sensitive
paper
Thermalpaper

50

Xerographic paper
High grade paper

40

Thermal transfer paper
Inkjet paper

30
20
10
0
0

10

20
30
Time [s]4050(b) ຍ⇕㛤ጞᚋࡢ༳ๅ⏝⣬ࡢ ᗘᛂ⟅ࡢ㐪࠸
㸦1.80 W ࡢຍ⇕ࢆ࣊ࢵࢻ୰ኸ㒊࠿ࡽ༳ຍ㸧ᅗ 3 ࢧ࣮࣐ࣝ࣊ࢵࢻୖࡢ༳ๅ⏝⣬ࡢ- 32 -

ᗘᛂ⟅

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫ࡿ㸪࡜࠸࠺ၥ㢟࡛࠶ࡗࡓ[11]㸬୍౛࡜ࡋ࡚㸪ࢧ࣮࣐ࣝ࣊ࢵࢻୖ࡟㍕ࡏࡓ 5 ✀㢮ࡢ⏝⣬㸦⾲ 1㸧ࢆࡑࢀࡒࢀࢧ࣮࣐ࣝ࣊ࢵࢻᐇᶵୖ࡟タ⨨ࡋ㸪1.80 W ࡢ⇕ࢆࢧ࣮࣐ࣝ࣊ࢵࢻ୰ኸ㒊ࡢᖜ 3.75 mm ࡟ᐇ⿦ࡉࢀࡓࢻࢵࢺࣄ࣮ࢱ࠿ࡽຍ࠼ࡓሙྜ࡟㸪⿬㠃࠿ࡽᨺᑕ ᗘࢭࣥࢧ࡛ ᗘᒚṔࡢ㐪࠸ࢆィ ࡋ࡚ࡳࡿ࡜㸪ᅗ 3 ࡢࡼ࠺࡟࡞ࡗࡓ㸬⏝⣬ࡢ✀㢮࡟ࡼࡿ ᗘୖ᪼ࡢ㐪࠸ࡀ᫂☜࡟ࡳ࠼ࡓ㸬ឤ⇕༳ๅ⏝ࡢឤ⇕⣬ࡀ୍␒㧗࠸ ᗘୖ᪼ࢆ♧ࡋ࡚࠾ࡾ㸪⣬ࡢཌࡳࡀⷧࡃᰂ
ࡽ࠿࠸ࡇ࡜㸪⾲㠃ࡢࣟ࢖ࢥⰍ⣲࡟ࡼࡾ⣬ࡀࢧ࣮࣐ࣝ࣊ࢵࢻ࡟ᐦ╔ࡋࡸࡍ࠸ഴྥࡀ࠶ࡗࡓࡇ࡜ࡀཎᅉ
࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿ㸬ࡑࡢ࡯࠿ࡢ⏝⣬࡟ࡘ࠸࡚ࡣ㸪ࡶࡕࢁࢇ⣬ࡀཌࡃ࡞ࢀࡤ࡞ࡿ࡯࡝㸪ຍ⇕㠃࡜ ᗘࢆ ࡗࡓ⿬㠃ࡢ㛫ࡢ⇕᢬ᢠࡣ኱ࡁࡃ࡞ࡿࡓࡵ㸪⿬㠃ࡢ ᗘୖ᪼ࡣᢚ࠼ࡽࢀࡿഴྥ࡟࠶ࡿ㸬ࡋ࠿ࡋ㸪୍᪉࡛༢⣧࡟⏝⣬ࡢཌࡳࡔࡅ࡛ࡣ ᗘୖ᪼ࡢᗘྜ
ࡀỴࡲࡽ࡞࠿ࡗࡓ㸬 ⇕ᅇ㊰⥙ἲ࡟ࡼࡿ᥋ゐ⇕᢬ᢠࡢ᥎ᐃ
ࡇࡇ࡛╔┠ࡋࡓࡢࡀ㸪⣬ࡢ⇕≀ᛶ್࡜㸪ࢧ࣮࣐ࣝ࣊ࢵࢻ࡜⏝⣬ࡢ㛫ࡢ᥋ゐ⇕᢬ᢠ࡛࠶ࡗࡓ㸬⣬ࡢ⇕≀ᛶ್࡟ࡘ࠸࡚ࡣ㸪௦⾲ⓗ࡞್࡟ࡘ࠸࡚
ࡣࢹ࣮ࢱ࣮࣋ࢫ࡟ᥖ㍕ࡉࢀ࡚࠸ࡿ[12]ࡀ㸪౑⏝⏝㏵ࡸࢽ࣮ࢬ࡟ᛂ࠼ࡓᵝࠎ࡞✀㢮ࢆ⥙⨶ࡍࡿ࡟ࡣ⮳ࡗ࡚࠸࡞࠸㸬ࡑࡇ࡛㸪ᐦᗘ㸦⢭ᐦኳ⛗㸧㸪ẚ⇕㸦♧ᕪ㉮ᰝ⇕㔞 ᐃ㸧㸪⇕ఏᑟ⋡㸦1 ḟඖᐃᖖ⇕ఏᑟ⋡ᐃ㸪ᚋ㏙㸧ࢆࡑࢀࡒࢀ┤᥋ィ ࡋࡓ㸬⤖ᯝ㸪5✀㢮ࡢ⏝⣬ࡢ㛫࡛᭱኱ 2 ๭⛬ᗘࡢࡤࡽࡘࡁࡀ࠶ࡾ㸪ຍ⇕᫬ࡢ⏝⣬ࡢ ᗘᛂ⟅࡟ᙳ㡪ࢆ୚࠼࡚࠸ࡿࡇ࡜
ࡀࢃ࠿ࡗࡓ[13]㸬
୍᪉࡛㸪᥋ゐ⇕᢬ᢠ࡟ࡘ࠸࡚ࡣ㸪ᐇ㦂࡛┤᥋ⓗ࡟ホ౯ࡍࡿࡢࡣ㞴ࡋ࠸㸬ࡑࡇ࡛ᐇ㦂⣔ࢆ㸪ィ ࡋࡓ⣬ࡢ⇕≀ᛶ್ࡶ⏝࠸࡞ࡀࡽᅗ 4 ࡟♧ࡍ⇕ᅇ㊰⥙࡟⨨ࡁ᥮࠼㸪㠀ᐃᖖ⇕ᅇ㊰⥙ἲ[14]࡟ࡼࡿ㛫᥋ⓗ
90
80
70
60
50
40
30
20
10
0
0
10
20
30
40
50
Time [s]0.12WTNM

Ambient

Tempearature rise [K]0.18WTNM

Paper
Contact
resistance
Thermalhead
Ambient: conduction resistance: contact resistance: natural convection/
radiation resistance: heat capacity: paper / substrate nodes: heating element node
: ambient nodes: evaluated node

0.12WEXP
0.18WEXP
0.24WEXP
0.30WEXP

Heat value [W]:

0.72

1.08

1.44

1.80

EXP

䕕

䕻

䕿

䕧

(a) ࢧ࣮࣐ࣝ࣊ࢵࢻ༢యࡢ
35
Tempearature rise [K]Ambient

Thermalhead
Ambientᗘୖ᪼ண⤖ᯝHeat value =1.08 W

KannetsuTNM

30

copyTNM
HGTNM

25

TTTNM
IJTNMkannetsuEXP

20copyEXP
HGEXP
TTEXP

15

IJEXP1050: paper / substrate nodes: heating element node
: ambient nodes: evaluated node

0

10

20

30

40

50

Time [s]Paper:

TH

XG

HG

TT

IP

EXP

䕕

䕻

䕿

䕧

㽢

Thermal Network(b) ࢧ࣮࣐ࣝ࣊ࢵࢻ༢యࡢ⇕ᅇ㊰⥙(b) ༳ๅ⏝⣬ࡢ

ᅗ 4 ᥋ゐ⇕᢬ᢠホ౯⏝ࡢ⇕ᅇ㊰⥙ࣔࢹࣝఏ⇕ 2020 ᖺ 1 ᭶

0.30WTNM

Thermal Network(a) ࢧ࣮࣐ࣝ࣊ࢵࢻ࡜༳ๅ⏝⣬ࡢ⇕ᅇ㊰⥙: conduction resistance: contact resistance: natural convection/
radiation resistance: heat capacity

0.24WTNM- 33 -ᗘୖ᪼ண⤖ᯝ

ᅗ 5 ⇕ᅇ㊰⥙ࣔࢹࣝ࡟ࡼࡿᗘண⤖ᯝ

J. HTSJ, Vol. 59, No. 246

㸱㸬᥋ゐ⇕᢬ᢠ࡜Ⲵ㔜ࡢ㛵ಀࡢホ౯ ୍᪉࡛㸪ᐇ㝿ࡢឤ⇕༳ๅᶵᵓ࡛ࡣ㸪༳ๅ⏝⣬ࡣࢧ࣮࣐ࣝ࣊ࢵࢻ࡜ࣉࣛࢸ࣮ࣥࣟࣛ࡟ᣳࡲࢀࡿࡇ࡜
࠿ࡽ㸪┤᥋ࡢ ᗘሙࡸ᥋ゐᗘࡢィ ࡸホ౯ࡣᅔ㞴ࡀከ࠸㸬ࡼࡗ࡚㸪ࡼࡾᬑ㐢ⓗ࡞ᙳ㡪ᗘࡢ᝟ሗ㸪౛࠼ࡤࣉࣛࢸ࣮ࣥࣟࣛ࠿ࡽࡢ༳ຍⲴ㔜ࡀ㸪⏝⣬ࡢ᥋ゐ⇕᢬ᢠ࡟ᙳ㡪ࢆ୚࠼ࡿ㜈್ࡀ஦๓࡟᫂ࡽ࠿࡟࡞
ࡗ࡚࠸ࢀࡤ㸪タィࣀ࢘ࣁ࢘࡜ࡋ࡚฼⏝࡛ࡁࡿ㸬ࡑఏ⇕ 2020 ᖺ 1 ᭶- 34 -

700
Contact resistance

600
500
400
300
200
100
0

TH

XG

HG
TT
Type of papersIPᅗ 6 ⇕ᅇ㊰⥙ἲ࡛᥎ᐃࡋࡓ᥋ゐ⇕᢬ᢠ
14.0
Temperature rise at 1 sec. [K]࡞ண ࢆヨࡳࡓ㸬࡞࠾㸪(a) ࡣ⏝⣬࠶ࡾ㸪(b) ࡣ⏝⣬࡞ࡋࡢࣔࢹ࡛ࣝ࠶ࡿ㸬ᡭ㡰࡜ࡋ࡚ࡣ㸪⏝⣬࡜ࢧ࣮࣐ࣝ࣊ࢵࢻࡢ㛫ࡢ᥋ゐ⇕᢬ᢠࢆኚ໬ࡉࡏ࡞ࡀࡽ⇕ᅇ㊰⥙ἲ࡟ࡼࡿ ᗘண ࢆ⾜࠺㸬ண ⤖ᯝ࡜ᐇ㦂⤖ᯝࢆẚ㍑ࡍࡿࡇ࡜࡛㸪᥋ゐ⇕᢬ᢠࡢ್ࢆ᥎ᐃࡍࡿ㸬ࡋ࠿ࡋࡇࡇ࡛ၥ
㢟࡟࡞ࡗࡓࡢࡣ㸪」㞧࡞ᵓ㐀ࢆᣢࡘࢧ࣮࣐ࣝ࣊ࢵ
ࢻᮏయ࡬ࡢ⇕₃ࢀࡢᗘྜࡀ୙᫂࡞ࡇ࡜࡛࠶ࡾ㸪ࡇࡢᵓ㐀ࢆ┤᥋ⓗ࡟⇕ᅇ㊰⥙࡟෌⌧ࡍࡿࡇ࡜ࡀ୙ྍ
⬟࡛࠶ࡗࡓࡇ࡜࡛࠶ࡿ㸬ࡑࡇ࡛㸪ࢧ࣮࣐ࣝ࣊ࢵࢻ
ࡀቯࢀ࡞࠸⠊ᅖ࡛㸪࠶࠼࡚⏝⣬ࢆ㍕ࡏࡎ࡟⇕ࢆⓎ⏕ࡉࡏ㸪ࡇࡢ࡜ࡁ࡟ᨺᑕ ᗘࢭࣥࢧ࡛ィ ࡉࢀࡓࢧ࣮࣐ࣝ࣊ࢵࢻࡢ ᗘᒚṔࡀண ࡛ࡁࡿࡼ࠺㸪ࢧ࣮࣐ࣝ࣊ࢵࢻഃࡢ⇕ఏᑟ⇕᢬ᢠࡢ᥎ᐃࢆ࠶ࡽ࠿ࡌ
ࡵ⾜ࡗࡓ㸬⤖ᯝ㸪⏝⣬↓ࡋࡢሙྜࡢࢧ࣮࣐ࣝ࣊ࢵࢻ⾲㠃 ᗘࡢ ᗘண ⤖ᯝࡣᅗ 5 (a) ࡟♧ࡍࡼ࠺࡟ᐇ㦂⤖ᯝ࡜࡯ࡰ୍⮴ࡋ㸪ࢧ࣮࣐ࣝ࣊ࢵࢻഃࡢࣔ
ࢹࣝࡢಙ㢗ᛶࡀ☜࠿ࡵࡽࢀࡓࡇ࡜࠿ࡽ㸪⏝⣬࠶ࡾࡢゎᯒࢆ㐍ࡵࡓ㸬ᚓࡽࢀࡓ⿬㠃 ᗘࡢண ⤖ᯝࡀᅗ 5 (b) ࡛࠶ࡿ㸬⇕ᅇ㊰⥙ἲࡢゎᯒࡣᐇ㦂࡛ࡳࡽࢀࡓ⏝⣬ẖࡢ ᗘᛂ⟅ࡢ㐪࠸ࢆண ࡛ࡁࡓ㸬ࡇࡢ࡜ࡁᚓࡽࢀࡓ᥋ゐ⇕᢬ᢠࡀᅗ 6 ࡟♧ࡍࡶࡢ࡛࠶ࡾ㸪⏝⣬㛫ࡢᕪ␗ࡀᴟࡵ࡚኱ࡁ࠸㸬࡜ࡾࢃࡅឤ⇕༳ๅ⏝ࡢឤ⇕⣬ࡣ㸪᥋ゐ⇕᢬ᢠࡢ್ࡀపࡃ㸪ࡇࡢࡇ࡜࠿ࡽࡶ㸪๓㏙ࡋࡓᐦ╔ᛶࡢ㧗ࡉࡀ ᗘᛂ⟅ᛶ࡟⧅ࡀࡗ࡚࠸ࡿ࡜࠸࠼ࡿ㸬ࡇࡢ࡜ࡁ㸪᥋ゐ⇕᢬ᢠࢆ඲࡚ࡢ⏝⣬࡛ࢮࣟ࡜௬ᐃࡋࡓሙྜࡢ ᗘண ⤖ᯝࢆ
ᅗ 7 ࡟♧ࡍ㸬⏝⣬ࢆၥࢃࡎ㸪᥋ゐ⇕᢬ᢠࡢ᭷↓࡛ᗘᛂ⟅≉ᛶ࡟኱ࡁ࡞ᕪࡀฟ࡚ࡋࡲ࠺ࡇ࡜㸪ࡍ࡞ࢃࡕ㸪ឤ⇕༳ๅࡢ⇕タィ࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠࡢ㔜せᛶࡀ☜ㄆ࡛ࡁࡓ㸬᥎ᐃࡋࡓ᥋ゐ⇕᢬ᢠࡀᑠࡉ࠿
ࡗࡓឤ⇕⣬ࡀ㸪ࡴࡋࢁ᭱ࡶ኱ࡁ࠸ ᗘᕪࢆ♧ࡋࡓࡇ࡜ࡶ⯆࿡῝࠸㸬ࡇࢀࡣ㸪ཌ࠸⏝⣬ࡣෆ㒊ࡢ⇕ఏᑟ⇕᢬ᢠࡶ኱ࡁࡃ㸪᥋ゐ⇕᢬ᢠࡢᙳ㡪ࡀ┦ᑐⓗ࡟ᑠࡉࡃ࡞ࡿࡓࡵ࡜⪃࠼ࡿ㸬

Estimated contact resistance [K/W]≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫

with contact resistance

12.0

w/o contact resistance

10.0
8.0
6.0
4.0
2.0
0.0

TH

XG

HG
TT
Type of papers

IP(Heat value = 1.80 W)

ᅗ 7 ᥋ゐ⇕᢬ᢠࡢ᭷↓࡛⏕ࡌࡿ⿬㠃ᗘࡢᕪࡇ࡛㸪ᐩᮧࡽ[15] ࡀ㛤Ⓨࡋࡓ㸪ヨᩱ࡬ࡢ༳ຍⲴ㔜ࡀᐜ᫆࡟ኚ᭦࡛ࡁࡿኳ⛗ᆺ୍ḟඖ⇕ఏᑟ⋡ィ ࢩࢫࢸ࣒㸦ᅗ 8㸧ࢆ⏝࠸࡚㸪⏝⣬⾲㠃ࡢ᥋ゐ⇕᢬ᢠ࡜༳ຍⲴ㔜ࡢ㛵ಀࢆホ౯ࡋࡓ[16]㸬ࡇࡇ࡛ࡣ 5 ✀㢮ࡢ⏝⣬ࢆࡑࢀࡒࢀ㯤㖡〇ࡢࣟࢵࢻ࡛ᣳࡳ㸪∦ഃࡢࣟࢵࢻࢆຍ⇕㸪ࡶ࠺∦ഃࡢࣟࢵࢻࢆ෭༷ࡍࡿࡇ
࡜࡛⏝⣬ࡢཌࡳ᪉ྥ࡬⇕㏻㐣ࢆⓎ⏕ࡉࡏࡿ㸬ࡇࡢ࡜ࡁ⌧ࢀࡿࣟࢵࢻࡢ ᗘ໙㓄࠿ࡽ㸪⏝⣬ࡢ⾲⿬୧㠃ࡢ᥋ゐ⇕᢬ᢠࡶྵࡵࡓ➼౯⇕ఏᑟ⋡ࢆồࡵࡓ㸬ࡇࡢ➼౯⇕ఏᑟ⋡ࡢኚ໬࠿ࡽ㸪༳ຍⲴ㔜࡜᥋ゐ⇕᢬ᢠࡢ㛵ಀࢆホ౯ࡋࡓ㸬ィ ⤖ᯝࢆᅗ 9 ࡟♧ࡍ㸬༳ຍⲴ㔜ࡀ㧗࠸࡯࡝➼౯⇕ఏᑟ⋡ࡀ㧗ࡃ࡞ࡿ㸪ࡍ࡞ࢃࡕ᥋ゐ⇕᢬ᢠࡢᙳ㡪ࡀᑠࡉࡃ࡞ࡗ࡚࠸ࡿࡇ࡜
ࡀࢃ࠿ࡿ㸬ูࡢゝ࠸᪉ࢆࡍࢀࡤ㸪༳ຍⲴ㔜ࡀᑠࡉ࠸ሙྜ࡟ࡣ㸪᥋ゐ⇕᢬ᢠࡢᙳ㡪࡟ࡼࡾ➼౯⇕ఏᑟ⋡ࡀᑠࡉࡃ࡞ࡿഴྥࡀࡳ࡚࡜ࢀࡿ㸬ࡇࡢ➼౯⇕ఏᑟ⋡ࡢኚ໬ࡣ㸪༳ຍⲴ㔜࡟ᇶ࡙ࡃ᥋ゐᅽຊࡀ 30
kPa ࢆ㉸࠼ࡓሙྜ࡟ࡣᑠࡉࡃ࡞ࡾ㸪60 kPa ௨ୖ࡛

J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫

Water flowྟৡષସ 'HOLJKWਝੑ
َॎऎॎऎघॊेअऩُ૎ਙप੦तऎષସ
ওॹॕ॔॥থॸথॶधभ৴৿

Test paper
Weightॹ२ॖথ HWF‫"ؼ‬ઃम୦ऋ঄ॵॺघॊऊम॔ॖॹ॔ઃਸ਼‫ءؼ‬ਙચષସ %HWWHUਝੑ

DataloggerT-typethermocouples

ૼ୒৓ਙચ‫؝‬ऩःधਂ௥‫ँ؝‬ॊध௥ଌ‫؝‬ইঝढ़ছ‫ ش‬ৈੰ൸২শৎ৑ฌ৿

Cooling Power supply
block(for heater)ਊञॉ৐ષସ 0XVWਝੑَঔংॖঝইज़ॺউজথॱُदँॊऒध‫؝‬(a) ᐇ㦂⣔ࡢᴫ␎ᅗ੅ठઈसॊ॥‫ॻش‬ঞ५

૘ऩः଩ः

9 7 7 7 15㸲㸬ࡲ࡜ࡵ
 〇ရෆ㒊࡟࠾࠸࡚Ⓨ⏕ࡍࡿ᥋ゐ⇕᢬ᢠࡀ㸪〇ရࡢ㨩ຊ࡟┤⤖ࡍࡿ஦౛࡜ࡋ࡚㸪ឤ⇕༳ๅ࡟࠾ࡅࡿ
⏝⣬࡜ࢧ࣮࣐ࣝ࣊ࢵࢻࡢ㛫ࡢ⇕᢬ᢠ࡟ࡘ࠸࡚ྲྀࡾ
ୖࡆࡓ㸬≉࡟ᮏ◊✲࡛ࡣ㸪タィࡢୖὶẁ㝵࡛㐺⏝ྍ⬟࡞㸪⇕ᅇ㊰⥙ἲࡸ MBD ࡞࡝ࡢᶵ⬟ࣞ࣋ࣝࡢ⇕タィ࡬ᒎ㛤ࡍࡿࡓࡵࡢ᥋ゐ⇕᢬ᢠࡢ᝟ሗࢆྲྀᚓ
ࡍࡿࡓࡵࡢྲྀࡾ⤌ࡳࢆ㸪2 ࡘࡢ᪉ྥᛶ࠿ࡽᐇ᪋ࡋ
ࡓ஦౛ࢆ⤂௓ࡋࡓ㸬 〇ရࡢෆ㒊࡛Ⓨ⏕ࡍࡿ᥋ゐ⇕᢬ᢠ࡟㛵ࡍࡿၥ㢟࡛㞴ࡋ࠸ࡢࡣ㸪᥋ゐࡍࡿ㒊ᮦࡢ⾲㠃ࡢᵝ┦㸪ᮦᩱࡑࡢࡶࡢࡢᙎᛶ࡞࡝㸪᥋ゐ㠃ࡢ≧ἣ࡟┤⤖ࡍࡿせ⣲ࡀ༓ᕪ୓ู࡛㸪࠿ࡘ┤᥋ⓗ࡟ࡣホ౯ฟ᮶࡞࠸Ⅼ࡛࠶ࡿ㸬᭶ᒣ[17]ࡀ㸪⇕㌿෗ࣉࣜࣥࢱࢆࣔࢹࣝ໬
ࡋࡓᐇ㦂⣔࡛㸪ࢧ࣮࣐ࣝ࣊ࢵࢻ࡜⇕㌿෗࣋ࣝࢺ࠾
ࡼࡧࢦ࣒࣮ࣟࣛࡢ㛫ࡢ᥋ゐࡢᵝᏊࢆ㧗ど㔝࣮ࣞࢨ㢧ᚤ㙾࡛ィ ࡋ㸪᥋ゐ㠃ࡢఏ⇕࡜ࡢ㛵ಀࢆホ౯ࡋࡓෆᐜࢆሗ࿌ࡋ࡚࠸ࡿ㸬〇ရ࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠࡢṇ☜࡞ᢕᥱ࡟ྥࡅ㸪ᐇ㝿ࡢ᥋ゐࡢᵝ┦࡜ఏ⇕ࡢ┦㛵ࢆᐦ࡟ホ౯ࡍࡿどⅬ࡜㸪⇕タィ࡬ᛂ⏝ࡍࡿࡓࡵࡢᶵ⬟࡛ࣞ࣋ࣝࡢࣔࢹࣝ໬ࡢ㸪୧᪉ࡢどⅬ࠿ࡽࡢᇶ♏◊✲ࡢᚲせᛶࢆᙉࡃឤࡌ࡚࠸ࡿ㸬 ᭱ᚋ࡟㸪⌧ᅾࡢẁ㝵࡛ࣔࣂ࢖ࣝࣇ࢛ࢺࣉࣜࣥࢱ
࡟ᮇᚅࡍࡿ㸦࡜➹⪅ࡀண᝿ࡍࡿ㸧⊁㔝ࣔࢹࣝ[18]࡟ᇶ࡙ࡃရ㉁タィᣦᶆࡢ୍౛ࢆᅗ 10 ࡟♧ࡍ㸬ࣉࣜࣥࢱࡀࠕᣢࡕ㐠࡭ࠖࠕ෗┿ࢆ᧜ࡗࡓࡑࡢሙ࡛༳ๅ
ࡋࠖࠕࢥ࣮ࢻࣞࢫࠖ࡜࠸࠺㸪➹⪅ࡀᏛ⏕ࡢ㡭ࡣ᝿ീࡶࡋ࡞࠿ࡗࡓࡇ࡜ࡀ㸪௒ࡸࠕᙜࡓࡾ๓ရ㉁ࠖ࡟࡞
ࡗ࡚ࡋࡲࡗࡓ㸬ḟ࡟ࣄࢵࢺࡍࡿ࢔࢖ࢹ࢕࢔ࡀఱ࠿㸪ᾘ㈝⪅ࡢ౯್ほࡀከᵝ໬ࡋࡓ≧ἣࡢ୰࡛᝿ീࡍࡿ

Upper brass rod
Test paper

15 7 7 7 9: Temperature
measurement
point

Lower brass rod[Unit : mm]

Cooling block(b) ࢸࢫࢺࢭࢡࢩࣙࣥ࿘ࡾ
ᅗ 8 ୍ḟඖ⇕ఏᑟ⋡ィ

ࢩࢫࢸ࣒

0.14
0.12

Op [W/(mK)]୼ઌഀླྀदऌॊ

ᅗ 10 ࣔࣂ࢖ࣝࣇ࢛ࢺࣉࣜࣥࢱࡢ⊁㔝ࣔࢹࣝ࡟
ᇶ࡙ࡃရ㉁タィ࣐ࢵࣉ㸦2019 ᖺ⌧ᅾ㸧

Acrylic block
Film heater

Thermalpaper
Xerographic
paperHigh grade
paper
Thermaltransfer paper
Inkjet paper

0.10
0.08
0.06
0.04
0.02
0.00
0

਍੼

ৈः
੗ः

ਊञॉ৐৲‫ؼ‬

Test section

Insulationଲષभહਸ੼க‫ྟ؞‬ৡ

Balancingweight
Thermostatic
bath

20

40
Weight [kPa]6080ᅗ 9 䠄➼౯䠅⇕ఏᑟ⋡࡟ᑐࡍࡿⲴ㔜ࡢᙳ㡪ࡣ࡯࡜ࢇ࡝㣬࿴ࡍࡿ㸬ࡼࡗ࡚㸪ࡇࢀࡲ࡛ホ౯ࡋࡓ⠊ᅖ࡛ࡣ㸪⏝⣬ࢆᢲࡋࡘࡅࡿࣉࣛࢸ࣮ࣥࣟࣛ࠿ࡽ
ࡢᅽຊࡀ 60 kPa ௨ୖ☜ಖ࡛ࡁࢀࡤ㸪᥋ゐ⇕᢬ᢠࡢᙳ㡪ࡣ᭱ᑠ໬࡛ࡁࡿ࡜࠸࠼ࡿ㸬ᐇ㝿ࡢឤ⇕༳ๅᶵᵓ࡛ࡣ㸪ࡇࡢ⠊ᅖࡼࡾ㧗࠸᥋ゐᅽຊࢆຍ࠼࡚࠸ࡿ
࡜࠸࠺ࡇ࡜࡛࠶ࡾ㸪ᐇタィ࡟࠾ࡅࡿࣉࣛࢸ࣮ࣥࣟ
ࣛࡢタィ್࡜ࡢᩚྜᛶࡶ☜ㄆࡍࡿࡇ࡜ࡀฟ᮶ࡓ㸬ఏ⇕ 2020 ᖺ 1 ᭶- 35 -J. HTSJ, Vol. 59, No. 246

≉㞟㸸᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ 㸫ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ㸫
タィ (2009), ⚽࿴ࢩࢫࢸ࣒.
[9] ኱ ᐩ ᾈ ୍ , ࡼ ࡃ ࢃ ࠿ ࡿ ࢹ ࣛ ࢖ ࢺ タ ィ ධ 㛛(2016), ᪥หᕤᴗ᪂⪺♫.
[10] ୰ᒣ㧗ྖ, ཬᕝ◊, ᒣ⛉ுኴ, “ࣉࣜࣥࢱ࣭」ྜ
ᶵࡢࣔࢹࣜࣥࢢ࡜ไᚚ”, ィ ࡜ไᚚ , 53-4
(2014), 328-334.
[11] Fukue, T., Terao, H., Hirose, K., Wauke, T.,
Hoshino, H., Ito, R. and Nakagawa, F.,“Investigation of Transient Temperature Responseof Papers in a Thermal Transfer Printer”,
Proceedings of IS&T NIP29 (2013), 124-129.

ࡇ࡜ࡣ㞴ࡋ࠸㸬ࡔ࠿ࡽࡇࡑ㸪࡝ࡢࡼ࠺࡞ࢽ࣮ࢬ࡟
ᑐࡋ࡚ࡶᑐᛂ࡛ࡁࡿࡼ࠺࡞ᵓ᝿タィࣉࣟࢭࢫ࡛ࡢ
సࡾ㎸ࡳࡀ㔜せ࡟࡞ࡾ㸪ឤ⇕༳ๅ࡟࠾࠸࡚ࠕ༳ๅ
ࡍࡿࠖ࡜࠸࠺ᶵ⬟ࡑࡢࡶࡢࢆྖࡿఏ⇕ࡢᮏ㉁ࢆ㏣
ồࡍࡿࡇ࡜ࡀᚲせ୙ྍḞ࡛࠶ࡿ㸬ࡇࡢࡇ࡜ࢆ㋃ࡲ
࠼㸪⮬㌟ࡢ௒ᚋࡢ◊✲ࡶ᥎㐍ࡋ࡚࠸ࡁࡓ࠸㸬ㅰ㎡ᮏ◊✲ࡢ᥎㐍࡟㝿ࡋ㸪࢔ࣝࣉࢫ࢔ࣝࣃ࢖ࣥ㸦ᰴ㸧ᑎᑿ༤ᖺẶ㸪࿴Ᏹ៞▱ᏊẶ㸪ᫍ㔝ஂẶ㸪ᒾᡭ኱Ꮫ ᘅ℩ᏹ୍ඛ⏕㸪ᐩᒣ┴❧኱Ꮫ ▼ሯ຾ඛ⏕㸪⇃ᮏ኱Ꮫᐩᮧᑑኵඛ⏕㸪ᑠ⣒ᗣᚿඛ⏕ࡢࡈᣦᑟ㸪ࡈᨭ᥼ࢆ㈷ࡾࡲࡋࡓ㸬グࡋ࡚ㅰពࢆ⾲ࡋࡲࡍ㸬[12] ᪥ᮏ⇕≀ᛶᏛ఍⦅, ᪂⦅⇕≀ᛶࣁࣥࢻࣈࢵࢡ
(2008), 㣴㈼ᇽ.
[13] Fukue, T., Terao, H., Hirose, K., Wauke, T. andHoshino, H., “Analytical Investigation of Effectsof Thermophysical Properties on Transient
Temperature Response of Papers in Thermal
Printer”, Proceedings of IS&T NIP30 (2014),
69-72.

ཧ⪃ᩥ⊩[1] ᑎᑿ༤ᖺ, “ࢧ࣮࣐ࣝࣉࣜࣥࢱ≧ἣ࡜᪼⳹ᆺࣇ࢛ ࢺ ࣉ ࣜ ࣥ ࢱ ື ྥ ”, ᪥ ᮏ ⏬ ീ Ꮫ ఍ ◊ ✲ ఍2019 ᖺᗘ➨ 3 ᅇࠗࣔࣂ࢖ࣝࣇ࢛ࢺࣉࣜࣥࢱࡢ
᭱᪂ືྥ࠘(2019), 1-5.
[2] 㜿㒊ᰤᩥ, “Zink ࣉࣜࣥࢱືྥ”, ᪥ᮏ⏬ീᏛ఍◊✲఍ 2019 ᖺᗘ➨ 3 ᅇࠗࣔࣂ࢖ࣝࣇ࢛ࢺࣉࣜ
ࣥࢱࡢ᭱᪂ືྥ࠘(2019), 19-23.
[3] Ishizuka, M., “APPLICATION OF A NETWORKMETHOD TO THE THERMAL ANALYSIS OF
HIGH SPEED THERMAL PRINTER HEADS”,
ASME Advances in Electronic Packaging (1992),
457-462.
[4] Mochizuki, S., Kudoh, Y. and Tsukada, T., “The
Effect of Heat Transfer Process on the Print
Quality in Thermal Printers”, JSME International
Journal, Series II, 31-3 (1988), 553-558.

[14] 㧗᱔㈆୍, ⸨஭๎அ, ▼ሯ຾, ୰ᕝៅ஧, 㧗ᮌᐶ஧, “┦ኚ໬⌧㇟ࢆక࠺㟁Ꮚᶵჾࡢ⇕ゎᯒ࡬ࡢ ⇕ ᅇ ㊰ ⥙ ἲ ࡢ ᛂ ⏝ ”, Thermal Science &Engineering, 17-3 (2009), 105-112.
[15] Tomimura, T., Nomura, S. and Okuyama, M.,“Simple Measuring Method of Thermal
Conductivity of Silicone Grease and Effect ofCarbonNanomaterials
on
Its
ThermalConductivity”, Proceedings of the ASME/JSME
Thermal Engineering Summer Heat Transfer
Conference; HT 2007 (2007), Paper No., 32649.
[16] Fukue, T., Terao, H., Hirose, K., Sasaki, Y.,
Wauke, T., Hoshino, H., Tomimura, T. and Koito,
Y., “Basic Study on Evaluation Method ofThermal Conduction through Printing Papers
using 1-Dimensional Thermal Conductivity
Measurement”, Proceedings of IS&T NIP32(2016), 112-115.

[5] Ụ㢌඾Ꮥ, ᮃ᭶㈆ᡂ, ᳃ᮏὈṇ, “ࣇ࣮ࣝ࢝ࣛ
ࢧ࣮࣐ࣝࣉࣜࣥࢱ࡟࠾ࡅࡿᰁᩱ㌿෗ᶵᵓࡢ◊✲”, ᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟 B ⦅, 59-560 (1993),
1236-1243.
[6] ኱ཎಇ୍, ⩚ᒣ♸Ꮚ, ㇂ᕝὒᩥ, 㭯⏣㝯἞, “⣬✀ࡢᕪࢆ⪃៖ࡋࡓᐃ╔㐣⛬ࡢ࣮࢝ࣝண ”, ⇕ᕤᏛࢥࣥࣇ࢓ࣞࣥࢫ 2014 ㅮ₇ㄽᩥ㞟 (2014),
Paper No., B125.

[17] ᭶ᒣ㝧௓, “ࣇ࢛ࢺࣉࣜࣥࢱᇶ♏:ࠕ⤥⣬࣮ࣟࣛ࡜⏝⣬ࡢ᥋ゐ࡜ᦶ᧿ࠖ”, ᪥ᮏ⏬ീᏛ఍◊✲఍
2019 ᖺᗘ➨ 3 ᅇࠗࣔࣂ࢖ࣝࣇ࢛ࢺࣉࣜࣥࢱࡢ
᭱᪂ືྥ࠘(2019), 14-18.
[18] Ⱚᮏ⚽ᚨ, ࣉࣟࢪ࢙ࢡࢺ࣐ࢿࢪ࣮ࣕࡢࡓࡵࡢ
ࣉࣟࢭࢫࢹࢨ࢖ࣥධ㛛 (2014), ᪥⤒ BP.

[7] ᪂⏣ຬ, ᑎᑿ༤ᖺ, ℩ୗ༟ᘺ, “⇕㌿෗ࣉࣜࣥࢱࢆ฼⏝ࡋࡓ༳ๅ⏝⣬ࡢ⡆᫆⇕ఏᑟ⋡ホ౯ἲ”, ⢭ᐦᕤᏛ఍ㄅ, 70-4 (2004), 522-527.
[8] ▼ሯ຾, ᅗゎධ㛛 ࡼࡃࢃ࠿ࡿ㟁Ꮚᶵჾࡢ⇕ఏ⇕ 2020 ᖺ 1 ᭶- 36 -J. HTSJ, Vol. 59, No. 246

ࣄࢫࢺ࣮ࣜQ

ே࡜⇕࡜ࡢ㛵ࢃࡾࡢ㊊㊧㸦ࡑࡢ 6㸧㸫㜿Ἴ⸛ࡢⓎᒎ࡜⸛ᰁࡵࡢఏ⤫ᢏ⾡࡟࠾ࡅࡿ⇕࡜ࡢ㛵ࢃࡾ㸫
Footprints of the relationship between humans and heat (Part 6)-Development of Awa Indigo and the Relationship between Traditional Indigo Dyeing and HeatἙᮧ ὒ㸦බ❧ㄶゼ⌮⛉኱ ྡ㄃ᩍᤵ㸪⇕ࡢ⛉Ꮫᢏ⾡ྐ◊✲఍ ୺ᰝ㸧㸪⯞஭ ⏤⨾Ꮚ㸦୕ᮌᩥᗜ Ꮫⱁဨ㸧㸪᪂ᒃ ಟ㸦᪂ᒃ〇⸛ᡤ ⸛ᖌ ⌧௦ࡢྡᕤ㸧
Hiroshi KAWAMURA (Suwa Univ. of Science), Yumiko FUNAI (Miki Archives), Osamu NII (Nii Indigo Factory)e-mail: kawanif@nifty.com

㸯㸬ࡣࡌࡵ࡟
ᡃࡀᅜࡢ௦⾲ⓗ࡞ᰁⰍᐙ࠿ࡘ◊✲⪅ࡢ୍ே࡛࠶
ࡿྜྷᒸᖖ㞝Ặ ᨾே ࡣ㸪ࡑࡢⴭ᭩[1]ࡢෑ㢌㒊ศ࡟㸪ྂ௦ࡢᙬⰍ⏬࡜ࡋ࡚ࡣ㸪ᩘ୓ᖺ๓࡟ࣇࣛࣥࢫࡢࣛࢫ
ࢥ࣮ࡸࢫ࣌࢖ࣥࡢ࢔ࣝࢱ࣑ࣛࡢὝ❍ࡢቨ⏬ࡀᥥ࠿ࢀ࡚࠸ࡿࡢ࡛࠶ࡿ࠿ࡽ㸪ࠕࡑࡢࡼ࠺࡞ぢ஦࡞Ⰽࡢᙧ
ࢆᢕᥱࡋࡓேࡓࡕࡀ㸪⮬↛⏺ࡢⰍ㩭ࡸ࠿࡟ぢ࠼ࡿ᳜≀ࡢⰼࡸⴥࢆ㸪㌟࡟ࡲ࡜ࡗ࡚࠸ࡿ⾰㢮ࡢⰍ௜ࡅ࡟౑
ࢃ࡞࠿ࡗࡓࡣࡎࡣ࡞࠸࡛࠶ࢁ࠺㸬ࠖ࡜㏙࡭࡚࠸ࡿ㸬ࡇࢀࡽࡢྂࡃ࠿ࡽఏࢃࡿᵝࠎ࡞ኳ↛ᰁⰍࡢ୰࡛
ࡶ㸪ᮏ✏࡛ࡣ͆⸛ᰁࡵ͇ࢆྲྀࡾୖࡆ࡚࠸ࡿ㸬ࡇࢀࡣ㸪
2019 ᖺࡢ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࡀᚨᓥ࡛㛤ദࡉࢀࡓ㝿࡟㸪㜿Ἴࡢ௦⾲ⓗ࡞ఏ⤫⏘ᴗ࡛࠶ࡿ⸛ᰁࡵࡢఏ
⤫ᢏ⾡ࡀࠕ⇕ࠖ࡜኱ࡁࡃ࠿࠿ࢃࡗ࡚࠸ࡿࡇ࡜࡟╔┠ࡋ࡚㸪ࠕ⇕ࡢ⛉Ꮫᢏ⾡ྐ◊✲఍ࠖࡀ୺ᐓࡋ㸪ᆅඖࡢᢏ⬟⪅ࡢ᪉ࠎࡢࡈ༠ຊࢆᚓ࡚ࠕ㜿Ἴ⸛ࡢⓎᒎ࡜⸛ᰁࡵ࡜⇕࡜ࡢ㛵ࢃࡾࠖࡢࡈㅮ₇ࢆ㡬࠸ࡓࡇ࡜ࡀࡁࡗ࠿
ࡅ࡜࡞ࡗࡓࡶࡢ࡛࠶ࡿ㸬ࡲࡎ⸛࡛ᰁࡵࡽࢀࡓᕸᆅ࡟ࡘ࠸࡚ୡ⏺ⓗ࡟ぢࡿ࡜㸪⌧ᅾࡲ࡛࡟Ⓨぢࡉࢀ࡚࠸ࡿୡ⏺࡛᭱ࡶྂ࠸౛ࡣ㸪࣮࣌ࣝࡢ Huaca Prieta 㑇㊧࠿ࡽぢࡘ࠿ࡗࡓᕸ∦ ᅗ
1 ࡛࠶ࡿ[2]㸬ྑഃࡀᰁⰍࡉࢀࡓᕸ㸪ᕥࡀࡑࡢ᚟ඖᅗ

ᅗ 1 ⌧ᅾⓎぢࡉࢀ࡚࠸ࡿ᭱ྂࡢ⸛ᰁࡵ㸦ྑ㸧㸬
⣙ 6,200 ᖺ๓㸪࣮࣌ࣝࡢ Huaca Prieta 㑇㊧࠿ࡽฟᅵ㸬ᕥࡣࡑࡢ᚟ඖᅗ[2]㸬

ఏ⇕ 2020 ᖺ 1 ᭶࡛㸪ᕸ࡟ࡣ᫂ࡽ࠿࡟⸛Ⰽࡀṧࡗ࡚࠾ࡾ㸪໬Ꮫศᯒࡢ
⤖ᯝ࡛ࡶ⸛㸦Indigo㸧࡛࠶ࡿࡇ࡜ࡀ☜ㄆࡉࢀ࡚࠸ࡿ㸬᫬௦ࡣ㸪Ⅳ⣲ྠ఩యࡢᖺ௦ ᐃ࠿ࡽ㸪⣙ 6,200 ᖺ๓࡜᥎ᐃࡉࢀ࡚࠸ࡿ㸬ࡇࡢⓎぢࡲ࡛ࡣ㸪ྂ௦࢚ࢪࣉࢺ
ࡢ⣙ 4,400 ᖺ๓ࡢᕸᆅࡀ᭱ྂ࡜ࡉࢀ࡚࠸ࡓ[3]㸬ࡇࢀࡽ࠿ࡽᆅ⌫ୖ࡟ᣑᩓࡋࡓே㢮ࡀࡑࢀࡒࢀࡢᆅᇦ࡛
⊂⮬࡟⸛ᰁࡵࡢᢏ⾡ࢆⓎᒎࡉࡏ࡚࠸ࡓࡇ࡜ࡀࢃ࠿
ࡾ㸪ࡓ࠸࡬ࢇ⯆࿡῝࠸㸬ࡲࡓ⣙ 5,000 ᖺ๓㡭ࡢ࢖ࣥࢻࡢࣁࣛࢵࣃ㑇㊧࠿ࡽࡣ⸛ᰁࡵࡢᵴ㊧ࡀⓎぢࡉࢀ࡚࠾ࡾ㸪࢖ࣥࢹ࢕ࢦ㸦Indigo㸧ࡢㄒ※ࡶ࢖ࣥࢻ࡟⏤᮶ࡍࡿ࡜࠸ࢃࢀ࡚࠸ࡿ[3]㸬ᆅ⌫ୖ࡟ࡣ㸪⸛ࢆྵࡴ᳜≀ࡣᗈࡃ⏕⫱ࡋ࡚࠸ࡿ㸬ࡓ࡜࠼ࡤ㸪࢖ࣥࢻ➼ࡢᮾ༡࢔ࢪ࢔ㅖᅜ࡛ࡣ࣐࣓⛉ࡢ༳ᗘ⸛㸪࣮ࣚࣟࢵࣃ࡛ࡣ࢔ࣈࣛࢼ⛉ࡢ࢛࣮࢘ࢻ㸪ᡃࡀᅜࡢሙྜࡣᮏᕞࡸᅄᅜ஑ᕞ࡛ࡣࢱࢹ⛉ࡢⶑ⸛㸦ࡓ࡛࠶࠸㸧 ᚋฟᅗ 㸪Ἀ⦖࡛ࡣ࢟ࢶࢿࣀ࣐ࢦ⛉ࡢ⌰⌫⸛࡞࡝࡛࠶ࡿ㸬ࡇࢀࡽࡢ᳜≀ࡣศ㢮Ꮫୖࡣ඲ࡃ␗࡞
ࡿ͆✀͇࡛࠶ࡿ࡟ࡶ࠿࠿ࢃࡽࡎ㸪࠸ࡎࢀࡶྠ୍ࡢ≀㉁࢖ࣥࢹ࢕࢝ࣥ㸦Indican㸧ࢆྵࢇ࡛࠾ࡾ㸪ྵ⸛᳜≀࡜ࡼࢇ࡛࠸ࡿ[4]㸬ࡇࡢ Indican ⮬యࡣ↓Ⰽ࡛࠶ࡿࡀ୍ᐃࡢ໬Ꮫ཯ᛂࢆ⤒࡚⸛ⰍࢆⓎⰍࡍࡿ Indigo ࡟ኚ໬ࡍࡿ㸬ࡍ࡞ࢃࡕ㸪⸛ࡣ㸪ୡ⏺ྛᆅ࡛඲ࡃ␗࡞ࡿ
͆✀͇ࡢ᳜≀࠿ࡽ୍ぢ␗࡞ࡿᡭἲ࡛ᰁࡵࡽࢀ࡚࠸ࡿ
ࡀ㸪໬Ꮫⓗ࡟ࡣྠ୍ࡢ཯ᛂࢆ⏕㉳ࡉࡏࡿᢏ⾡ࡀ⊂❧࡟㛤Ⓨࡉࢀ࡚ࡁࡓⅬࡀ⯆࿡῝࠸[3, 4]㸬 㸰㸬ᡃࡀᅜ࡟࠾ࡅࡿ⸛ᰁࡵࡢⓎ㐩᪥ᮏ࡛ࡣṇ಴㝔ࡸἲ㝯ᑎᚚ≀ࡢ୰࡟⸛ᰁࡵࡢᕸ
ࡀṧࡗ࡚࠾ࡾ㸪3㹼4 ୡ⣖࡟⸛ⲡ㸦ⶑ⸛㸧ࡀす᪉࠿ࡽΏ᮶ࡋࡓ㝿࡟⸛ᰁࡢᢏἲࡶ୍⥴࡟ఏࢃࡗࡓࡶࡢ࡜
⪃࠼ࡽࢀ࡚࠸ࡿ㸬ᅗ 2 ࡣṇ಴㝔ᚚ≀࡜ࡋ࡚ఏࢃࡿ⸛
ᰁࡵࡢࠕ⦸ᶂ㸦ࡣ࡞ࡔࡿ㸧࡛ࠖ࠶ࡿ[5]㸬⦸㸦ࡣ࡞ࡔ㸧࡜ࡣ㸪⸛࡛ᰁࡵࡓⷧ࠸㟷Ⰽࡢࡇ࡜㸪⦷㸦ࡿ㸧࡜ࡣ⣽࠸⣒ࡢព࿡࡛㸪ኳᖹ຾ᐆ 4 ᖺ㸦753 ᖺ㸧ࡢ኱௖㛤║఍࡛⏝࠸ࡽࢀࡓ⏤⥴࠶ࡿရ࡛࠶ࡿ㸬኱௖࡟║╢ࢆⅬ- 37 -J. HTSJ, Vol. 59, No. 246

ࣄࢫࢺ࣮ࣜQࡌࡓ➹࡟⤖ࡧ௜ࡅ㸪ཧ㞟⪅ࡣࡇࡢ㛗࠸⣣ࢆᡭ࡟ࡋ࡚
ຌᚨ࡟୚ࡗࡓࡶࡢ࡛㸪ᡃࡀᅜ࡟⌧Ꮡࡍࡿ⸛ᰁࡵࡢ᭱
ྂࡢရ࡛࠶ࡿ࡜ࡉࢀ࡚࠸ࡿ[4]㸬ᅗ 2 ṇ಴㝔࡟ఏࢃࡿ⦸ᶂ㸦ࡣ࡞ࡔࡿ㸧㸬ኳᖹ຾ᐆ㸲ᖺ㸦752 ᖺ㸧ࡢ኱௖㛤║఍࡛⏝࠸ࡽࢀࡓ㸬ᡃࡀᅜ࡟⌧Ꮡࡍࡿ⸛ᰁࡵࡢ᭱ྂࡢရ[5]㸬
⸛ࡣᖹᏳ᫬௦ࡲ࡛ࡣ୺࡟ᐑᘐࡸୖὶ㈗᪘ࡀ㌟࡟
╔ࡅࡿⰍ࡜ࡉࢀ࡚࠸ࡓࡀ㸪㙊಴᫬௦௨㝆࡟ࡣṊኈࡀ⸛ࡢᰁᩱ࡛ᰁࡵࡓ㯮࡟㏆࠸⃰࠸㟷ⰍࠕᦍⰍ㸦࠿ࡕ࠸ࢁ㸧ࠖࢆ㌟࡟╔ࡅࡿ⩦័ࡀᐃ╔ࡋࡓ[6]㸬ࡑࡢᚋ⧊⏣ಙ㛗ࡢ᫬௦㡭࠿ࡽ㸪ᗢẸࡢ⾰᭹ࡸᐷලࡢ⣲ᮦࡀ㯞࠿ࡽᮌ⥥࡟ኚࢃࡿ࡜㸪⸛ᰁࡵࡣᗢẸࡢ⏕ά࡟᰿௜࠸࡚࠸ࡗࡓࡀ㸪ࡇࡢ࡜ࡁᮌ⥥ᕸࢆᰁࡵࡿࡢ
࡟ࡣ㸪⸛ࡢᘓ࡚ᰁࡵ㸦ᚋ㏙㸧ࡀ୍␒㐺ࡋࡓᰁⰍἲ࡛
࠶ࡗࡓ㸬 Ụᡞ᫬௦ࡢཝ᱁࡞㌟ศไᗘ㸦ኈ㎰ᕤၟ㸧ࡢࡶ࡜࡛ࡣ㸪ⓒጣࡸ⏫ேࡀ᪥ᖖⓗ࡟╔ࡿ⏕ά⾰᭹ࡣᮌ⥥࡟㝈ᐃࡉࢀ⳹⨾࡞ᰁⰍࡶ⚗Ṇࡉࢀࡓ㸬ࡑࡢࡓࡵ⸛࡛ᰁࡵ
ࡽࢀࡓᮌ⥥ࡣ㸪Ụᡞࡢ⏫ேࡢᾎ⾰ࡸ⫋ேࡢἲ⿕㸦ࡣࡗࡨ㸧࠿ࡽၟᗑࡢᬮ⡘࡞࡝࡟⏝࠸ࡽࢀ㸪ࡲࡓ㎰Ẹ࣭⫋ே࡞࡝ᩘࡢከ࠸㌟ศᒙ࡛ࡶ㔝Ⰻ╔࣭ປാ╔࣭ἲ⿕࡞࡝ࡢከࡃࡣ⸛࡛ᰁࡵࡽࢀ࡚࠸࡚㸪ḷᕝ㸦Ᏻ⸨㸧ᗈ㔜ࡀ⸛Ⰽࡢ⃰ῐ࡜ቚ࡛ᥥ࠸ࡓ㢼ᬒ ᅗ 3 ࡟ࡶ㇟ᚩᅗ 3 ḷᕝᗈ㔜ࡢᮾᾏ㐨஬ᣠ୕ḟ㸪୕ᓥ㸬ே≀ࡢ⾰᭹ࡣ⸛Ⰽ࡛㸪㢼࿅ᩜࡶ⸛࡛ᰁࡵࡽࢀ࡚
࠸ࡿ㸬ᅜ఍ᅗ᭩㤋ࢹ࢕ࢪࢱࣝࢥࣞࢡࢩࣙࣥ[7]ఏ⇕ 2020 ᖺ 1 ᭶- 38 -

ࡉࢀࡿࡼ࠺࡟㸪⸛ࡣᗢẸࡢ⏕άࢆᙬࡿ㔜せ࡞࢔ࢡࢭࣥࢺ࡛࠶ࡗࡓ㸬ࡇࡢࡼ࠺࡟㸪Ụᡞᮎᮇ࠿ࡽ᫂἞ึᮇ࡟࠿ࡅ࡚᪥ᮏ
୰࡟⸛ࡀ⁄ࢀ࡚࠾ࡾ㸪ᡃࡀᅜ࡟ᣍ⪸ࡉࢀࡓእᅜேᩍ
ᖌ㐩ࡶ⸛ࡢ࠶ࡩࢀࡿ⾤ࡢගᬒ࡟┠ࢆぢᙇࡾ㸪໬Ꮫ⪅ࡢ࢔ࢺ࢟ࣥࢯࣥࡣ㸪ࡇࡢගᬒࢆࠕࢪࣕࣃࣥࣈ࣮ࣝࠖ
࡜࿧ࢇࡔ࡜ゝࢃࢀࡿ[8]㸬ࡑࡢᚋ㸪1883 ᖺ࡟ࢻ࢖ࢶࡢ໬Ꮫ⪅ࣂ࢖࣮ࣖࡀ
Indigotin ࡢศᏊ㓄ิᵓ㐀ࢆゎ᫂ࡋ࡚ࡑࡢྜᡂ࡟ᡂ
ຌࡋࡓ㸬ᙼࡣࡑࡢ௚ࡢᴗ⦼ࡶྵࡵ࡚ 1905 ᖺࡢࣀ࣮࣋ࣝ໬Ꮫ㈹ࢆཷ㈹ࡋ࡚࠸ࡿ㸬ࡑࡢᚋࡉࡽ࡟ BASF ♫ࡀ  ᖺࡢṓ᭶࡜ከ㢠ࡢᢞ㈨࡟ࡼࡗ࡚ Indigo ࡢᕤᴗⓗ࡞ྜᡂ࡟ᡂຌࡋ࡚“Indigo pure”࡜࠸࠺ၟရྡ࡛Ⓨ኎ࢆ㛤ጞࡋ㸪ࡑࡢᚋࡣᛴ㏿࡟ྜᡂ⸛ࡀᬑཬࡋ࡚࠸ࡗ
ࡓ[3]㸬࡜ࡃ࡟㸪࢔࣓ࣜ࢝す㒊㛤ᣅ࡟కࡗ࡚⪃᱌ࡉࢀࡓ࡜ゝࢃࢀࡿᶵ⬟ⓗ࡞ࠕࣈ࣮ࣝࢪ࣮ࣥࢬࠖࡣ㸪ⱝ⪅࡟ዲࡲࢀ࡚ୡ⏺୰࡟ᗈࡲࡗࡓ㸬ྜྷᒸᖾ㞝[6]ࡣ㸪ࠕ⸛ࡣ㸪ୡ⏺ࡢேࡀࡳ࡞ឡࡋࡓⰍ࡛࠶ࡾࠖ㸪ࠕ⸛࡜࠸࠺Ⰽ
ࡀே㛫ࡢ║࡟ࡸࡉࡋ࠸⮬↛࡞Ⰽࡔ࡜ゝ࠺ࡇ࡜ࡀ㸪୰␎ ୡ⏺୰࡛ཷࡅධࢀࡽࢀࡓ᭱኱ࡢせᅉ࡜࠸ࡗ࡚࠸࠸ࡔࢁ࠺㸬ࠖ࡜㏙࡭࡚࠸ࡿ㸬㸱㸬㜿Ἴ࡟࠾ࡅࡿ⸛⏘ᴗࡢⓎᒎ⸛ⲡࡣྂࡃ࠿ࡽ᪥ᮏ඲ᅜ࡛᱂ᇵࡉࢀ࡚࠸ࡓࡀ㸪㇏⮧⚽ྜྷࡢᐙ᮶࡛࠶ࡗࡓ⻏㡲㈡ᐙᨻࡀ㜿Ἴᚨᓥࡢᇛ
୺࡜࡞ࡿ࡜ 1586 ᖺ 㸪 ᬮ࡞Ẽೃ࡜ᖺࡈ࡜࡟ὥỈࢆ⧞ࡾ㏉ࡍྜྷ㔝ᕝ࡟ࡼࡗ࡚ୖὶ࠿ࡽἾ◁ࡀὶࢀ㎸ࡴ⮬↛ࡢ᪋⫧࡜ᐈᅵࡢᜠᜨࢆཷࡅ࡚㸪ࡇࡢᆅࡀ⸛ࡢ
᱂ᇵ࡟㐺ࡋ࡚࠸ࡿࡇ࡜࡟╔┠ࡋ㸪⸛᱂ᇵ࡜㛵㐃஦ᴗࢆಖㆤ࣭ዡບࡋࡓ⤖ᯝ㸪㉁࣭㔞࡜ࡶ࡟ඃࢀࡓ⸛⋢ࢆ⏘ฟࡍࡿࡼ࠺࡟࡞ࡗࡓ[4]㸬ᙜึࡢ 1600 ᖺ௦ࡣ㜿Ἴ⸛ࡢရ㉁ࡣࡲࡔ௚⸬࡟ຎ
ࡿࡶࡢ࡛࠶ࡗࡓࡀ㸪1700 ᖺ௦࡟ࡣ඲ᅜࡢ⸛ᕷሙࢆ
ᨭ㓄ࡍࡿ࡯࡝࡟࡞ࡗࡓ㸬ࡑࡢཎᅉࡢࡦ࡜ࡘ࡟㸪⸛ࡢⰍࡢ⃰ᗘࡸⰍ┦ࢆᐈほⓗ࡟ㄪ࡭ࡿࠕᡭᯈἲࠖ࡜ྡ௜
ࡅࡽࢀࡓရ㉁᳨ᰝࡢ᪉ἲࡀ࠶ࡿ㸬ࡇࢀࡣ㸪࿴⣬࡟⸛ࢆሬࡾ㸪㏱࠿ࡋ࡚ࡑࡢ⃰ᗘࢆぢࡓࡶࡢ࡛㸦ᅗ 4 ᕥ㸧㸪ࡇࡢࡼ࠺࡞ᐈほⓗホ౯ࡀ㐺ṇ࡞〇㐀᮲௳ࢆᑟࡁฟ
ࡋ〇㐀ᢏ⾡ࢆྥୖࡉࡏࡓ[4]㸬㜿Ἴ⸛ࡢရ㉁ࢆྥୖࡉࡏࡓࡶ࠺୍ࡘࡢせᅉ࡟ᖸ㫇㸦࡯ࡋ࠿㸧࡜࿧ࡤࢀࡿ❅⣲⫧ᩱࡢᑟධ࣭ᬑཬࡀ࠶
ࡿ㸬ࡇࢀࡽ࡟ࡼࡗ࡚㸪཰✭ࡉࢀࡿ⸛ⴥ୰ࡢ⸛ᡂศࡢ
⃰ᗘࡀྥୖࡋ㸪㜿Ἴࡢ⸛ࢆࠕᮏ⸛ࠖ㸪ࡑࡢ௚ࡢᆅ᪉
ࡢ⏘ရࢆࠕᆅ⸛ࠖ࡜ゝࢃࢀࡿࡼ࠺࡟࡞ࡗࡓ㸬

J. HTSJ, Vol. 59, No. 246

ࣄࢫࢺ࣮ࣜQ
ࡉࡽ࡟᫂࿴ 4 ᖺ㸦1767 ᖺ㸧࠿ࡽᚨᓥ࡛㛤࠿ࢀࡓࠕ⸛኱ᕷࠖࡶ㸪㜿Ἴ⸛ࡢⓎᒎ࡟኱ࡁ࡞ᐤ୚ࢆࡋࡓ㸬⸛኱ᕷ࡛ࡣ㸪Ụᡞ࣭ி㒔࣭ᚨᓥ࡞࡝࠿ࡽ⸛௰㈙ேࡓ
ࡕࡀ㞟ࡲࡾ㸪⸛⋢ࡢရᐃࡵ࡜ྲྀᘬࢆ⾜࠸㸪ࡑࡢရ㉁ࢆࠕᡭᯈἲࠖ࡟ࡼࡾホ౯ࡋ࡚ࠕ⍞୍ࠖ
ࠕ෸୍ࠖ
ࠕኳୖࠖ
ࡢ୕➼⣭ࡀ௜ࡅࡽࢀ㈹∩ᯈࡀ㉗ࡽࢀࡓ㸦ᅗ 4 ྑ㸧[4]㸬ᅗ 4 ᕥ㸸ᡭᯈἲ࡟ࡼࡿ⸛ࡢ㚷ᐃ[9]ྑ㸸⸛኱ᕷࡢ㈰ࢃ࠸[10]㜿Ἴ⸬୺⻏㡲㈡ᐙ࡟ࡼࡿ⸛஦ᴗࡢಖㆤ࣭ዡບ⟇ࡢඖ࡟㸪ၟே࡜ࡋ࡚ᐇ㝿࡟ࡇࢀࢆ᥎㐍ࡋࡓ௦⾲ⓗ࡞஦ᴗᐙࡀ୕ᮌᐙ࡛࠶ࡿ㸬୕ᮌᐙ➨୍ୡ࡜࡞ࡿูᡤつ἞ࡣ㸪᧛ᕞࡢ୕ᮌᇛࡢᇛ୺࡛⩚ᰘ⚽ྜྷ࡜ࡢᡓ࠸࡟ᩋࢀ
ࡓูᡤ㛗἞ࡢᚑᘵ࡛࠶ࡿࡀ㸪ⴠᇛ࡟ࡼࡗ࡚ᐙ᮶࡜ඹ
࡟㜿Ἴ࡟㏨ࡆᘏࡧ㸪ኳṇ 8 ᖺ㸦1580 ᖺ㸧࡟⌧ᅾࡢᚨᓥ㏆㑹ࡢ୰႐᮶㸦࡞࠿ࡁࡽ࠸㸧࡟ᒃࢆᵓ࠼㸪ᖐ㎰ࡋ࡚୕ᮌ⯅ྜྷ㑻࡜ྡ஌ࡗࡓ㸬୰႐᮶ࡣᚨᓥ࠿ࡽ㬆㛛࡬⾜ࡃ㏵୰࡟࠶ࡾ㸪୕ᮌᐙࡣ௒ษᕝࡸྜྷ㔝ᕝࡢὶᇦỈ㐠ࡢ౽ࢆ฼⏝ࡋ࡚㸪⁺ල㸪⡿✐㸪㞧ရ࡞࡝ࡢᖜᗈ
࠸ၟ࠸ࢆጞࡵࡓࡀ㸪㜿Ἴ⸛ࡀ┒ࢇ࡟࡞ࡿ࡟ࡋࡓࡀ࠸
ᘏᐆ㸰ᖺ㸦1674 ᖺ㸧࡟➨஧ୡ㧗἞ࡀ㜿Ἴ⸛ࡢྲྀᢅ࠸
ࢆጞࡵࡓ㸬ࡑࡢᚋ㸪ᐶᨻඖᖺ 1789 ᖺ ࡟ࡣ㸪Ụᡞ᪥ᮏᶫ࡟ࡶᗑ⯒ࢆᵓ࠼㸪௨㝆㸪ᖥᮎ࣭᫂἞࡬࡜㜿Ἴࢆ௦⾲ࡍࡿࠕ㛵ᮾ኎ࡾ⸛ၟࠖ࡜࡞ࡗࡓ[4]㸬ࡇࡢࡼ࠺࡞᮶Ṕ࠿ࡽ㸪୕ᮌᐙࡣ㜿Ἴ⸛࡟࠿࠿ࢃࡿ
ྐᩱ࣭ᶆᮏ࣭⤮⏬ࡢࡳ࡞ࡽࡎ㸪Ụᡞ࠿ࡽᅜඖ㸦୰႐᮶㸧࡬㏦ࡽࢀࡓ㘊⤮࣭࠿ࢃࡽ∧࣭᭩⡠㢮࡞࡝ࡢᖥᮎ
ࡢᩥ໬࣭ୡ᝟ࢆఏ࠼ࡿྐᩱࡸ㸪㜿Ἴᆅ᪉ࡢ⾜ᨻࡸẸ಑࡟㛵ࡍࡿྐᩱ࡞࡝ᩘከࡃࢆ཰㞟࣭ᡤⶶࡋ࡚ࡁࡓ㸬ࡇࢀࡽ࡟ࡘ࠸࡚㸪୕ᮌᐙ➨ 13 ௦୕ᮌ⯅ྜྷ㑻┾἞ࡣ㸪᫛࿴ 29 ᖺ㸦1954 ᖺ㸧࡟୕ᮌ⏘ᴗ ᰴ ๰ᴗ  ࿘ᖺグᛕ஦ᴗࡢ୍ࡘ࡜ࡋ࡚୕ᮌᩥᗜࢆ๰タࡋ㸪ୖグࡢㅖ㈨ᩱࢆከᩘ཰ⶶࡋ࡚㜀ぴ㸪Ꮫ⾡ㄪᰝ࡞࡝࡟ᥦ౪ࡋ࡚
࠸ࡿ㸦ᅗ 5㸧㸬ࡇࡢ࡯࠿ྐᩱ㞟ࡸゎㄝ᭩ࡶከࡃฟ∧ࡋ࡚࠾ࡾ㸦[4]㸪[9]㸪[10]࡞࡝㸧㸪ᮏ✏࡛ࡶከࡃࢆཧ
↷ࡋ࡚࠸ࡿ㸬

ఏ⇕ 2020 ᖺ 1 ᭶- 39 -

㜿Ἴ⸛ࡢ⏕⏘ࡣ㸪᫂἞᫬௦ࡢᚋᮇࡈࢁࡲ࡛⏕⏘㔞ࡀᣑ኱ࡋ㸪᫂἞ 36 ᖺ࡟ࡣ᭱㧗ࡢ⏕⏘つᶍ࡜࡞ࡗࡓ㸬ࡋ࠿ࡋ㸪᫂἞୰ᮇ࠿ࡽࡼࡾᏳ౯࡛᪩ࡃ⃰ࡃᰁࡲࡿ࢖
ࣥࢻ࠿ࡽࡢỿẊ⸛㸦࢖ࣥࢻ⸛㸧ࡸ㸪ᚋᮇ࡟ࡣ࣮ࣚࣟ
ࢵࣃࡼࡾ๓㏙ࡢྜᡂᰁᩱࡀⓏሙࡋ࡚㸪ᅜෆ⏕⏘㔞ࡣ⃭ῶࡋ㸪ࠕ᳜≀ᰁᩱࠖࡣ࡯࡜ࢇ࡝ᛀࢀཤࡽࢀ࡚࠸ࡗ
ࡓ㸬ࡇࡢࡼ࠺࡟⾶㏥ࡢ୍㏵ࢆࡓ࡝ࡗ࡚࠸ࡓ⸛᱂ᇵ࡛
࠶ࡗࡓࡀ㸪኱ᡓ୰࡟ࡶᐦ࠿࡟ⶑ⸛ࡢ᱂ᇵࡀ⥆ࡅࡽࢀ㸪
ࡲࡓᚋ࡟㏙࡭ࡿࠕⵒ㸦ࡍࡃࡶ㸧ࠖࡢ〇㐀ᢏ⾡ࡶಖᏑࡉࢀࡓࡇ࡜࠿ࡽ㸪᫛࿴ 50 ᖺ㡭࠿ࡽ㒓ᅵࡢఏ⤫࠶ࡿ⏘ᴗ࡜ࡋ࡚ぢ┤ࡉࢀࡿࡼ࠺࡟࡞ࡗࡓ㸬ࡲࡓ㸪ఏ⤫ᕤⱁရࡸᡭసࡾసရࡢேẼࡢ㧗ࡲࡾ࡞࡝ࡶ࠶ࡗ࡚㸪ኳ↛⸛࡟ࡼࡿ⸛ᰁࡵసရࡀὀ┠ࡉࢀࡿࡼ࠺࡟࡞ࡗ࡚㸪⸛᱂ᇵࡢ㠃✚ࡶᚎࠎ࡟ᅇ᚟ࡋ࡚ࡁ࡚࠸ࡿ㸬

ᅗ 5 ୕ᮌᩥᗜᡤⶶ㈨ᩱࡢ౛©୕ᮌᩥᗜᕥ㸸⸛ᰁࡵࡢ⿦㣭ရ㸪୰ୖ㸸㈹∩ᯈ(⍞୍)㸪
ྑୖ㸸⸛ᰁࡵࡢἲ⿕㸦୕ᮌၟᗑᒇྕධ㸧㸪୰ୗ㸸⸛⢊ᡂࡋ㐨ල(ᚋฟ)㸪ྑୗ㸸⸛⋢ࡢಥ㸲㸬⸛ᰁࡵࡢఏ⤫ᢏ⾡࡜ࡑࡢ໬Ꮫ
 ⸛ᰁࡵࡢ໬Ꮫ
Cardon[3]ࡣኳ↛ᰁᩱ࡟ࡼࡿᰁⰍࡢ᪉ἲࢆḟࡢ 3✀㢮࡟ศ㢮ࡋ࡚࠸ࡿ㸬㻔㻝㻕┤᥋ἲ䠄㻰㼕㼞㼑㼏㼠㻌㼐㼥㼑㼕㼚㼓䠅㸸᳜≀ᰁᩱ࡜⧄⥔࡞࡝ࡢᰁⰍᑐ㇟ࡢศᏊᵓ㐀࡟ぶ࿴ᛶࡢ࠶ࡿሙྜ࡛㸪᳜≀ࢆᾐࡍ࠿࠶ࡿ࠸ࡣ↻㎸ࢇࡔỈ⁐ᾮ࡟⧄⥔࡞࡝ࢆᾐࡍࡇ࡜࡟ࡼࡗ࡚ᰁⰍࡍࡿ㸬㻔㻞㻕㻌 ፹ᰁἲ㻔㻹㼛㼞㼐㼍㼚㼠㻌㼐㼥㼑㼕㼚㼓㻕᳜≀ᰁᩱ࡜ᰁⰍᑐ㇟࡜
ࡢ㛫࡟┤᥋ࡢぶ࿴ᛶࡀ࡞࠸࡜ࡁ࡛ࡶ㸪᫂♠㸦ࡳࡻ࠺ࡤࢇ㸧ࡸ㘏ሷ㸪㕲ሷ࡞࡝ࡢ፹ᰁ๣ 㔠ᒓሷ ࡟ࡼ
ࡗ࡚ⓎⰍࡉࡏ㸪ᵝࠎ࡟ኚ໬ࡍࡿⰍࢆᰁࡵฟࡍ᪉ἲ㸬ኳ↛ᰁᩱ࡟ࡼࡿᰁⰍࡣ㸪ࡇࡢ᪉ἲࡀ✀㢮ࡶከࡃࡴࡋࢁ୍⯡ⓗ࡛࠶ࡿ[8]
㻔㻟㻕ᘓ䛶ᰁ䜑ἲ䠄㼂㼍㼠㻌 㼐㼥㼑㼕㼚㼓䠅㸸Ỉ࡟⁐ࡅ࡞࠸ࡀ㑏ඖࡍࡿ࡜Ỉ⁐ᛶ࡟࡞ࡿᰁᩱ࡛㸪୍᪦㑏ඖࡋࡓ≧ែࢆస

J. HTSJ, Vol. 59, No. 246

ࣄࢫࢺ࣮ࣜQ

ࡗ࡚ࡇࡇ࡟⧄⥔➼ࢆᾐࡋࡓᚋ㸪✵Ẽ୰࡟ᘬࡁୖࡆ
ࡿࡇ࡜࡟ࡼࡾ㓟໬ࡉࡏ࡚ⓎⰍ࠿ࡘᐃ╔ࡉࡏࡿᰁⰍἲ㸬㑏ඖ≧ែ࡟࡞ࡿ࡜ᰁᩱࢆྵࡴἻࡀ⾲㠃࡟❧ࡕ࠶ࡀࡗ࡚ࡃࡿࡓࡵ͆⸛ࡀᘓࡘ͇࡜࠸࠺㸬㑏ඖἲ࡜ࡶ࠸࠺㸬ࡇࡢ࡜ࡁ୍⯡࡟኱ࡁ࡞⏎㸦Vat㸧ࢆ⏝࠸ࡿࡢ࡛ⱥㄒ࡛ࡣ Vat dyeing ࡜࠸ࡗ࡚࠸ࡿ㸬ࡇࡢ᪉ἲࡢ௦⾲ⓗ࡞౛ࡀࡇࡢ⸛ᰁࡵ࡜㸪࠶ࡿ✀ࡢ㈅ࢆ౑
ࡗ࡚⣸Ⰽࢆᰁࡵࡿࠕ㈅⣸࡛ࠖ࠶ࡿ[8]㸬࡞࠾㸪⸛ᰁࡵࡢሙྜࡶ 1 ┤᥋ἲ࡛ࡶᰁࡵࡿࡇ࡜
ࡀฟ᮶࡚ࠕ⏕ⴥ㸦࡞ࡲࡤ㸧ᰁࡵࠖ࡜࿧ࡤࢀࡿࡀ㸪⸛ⴥࡢ཰✭ᚋ┤ࡕ࡟సᴗࢆࡍࡿᚲせࡀ࠶ࡿࡓࡵ࡟᫬
ᮇ࡜ሙᡤࡀ㝈ࡽࢀࡿ㸬⸛ᰁࡵࡀୡ⏺つᶍ࡛ᬑཬࡋࡓ
ࡢࡣ㸪ᚋ࡟㏙࡭ࡿࠕⵒ ࡍࡃࡶ ࠖ࠶ࡿ࠸ࡣࠕ⸛⃦㸦ࡽࢇ࡛ࢇ㸧ࠖ➼ࢆ୍᪦సࡗ࡚㐠ᦙ࣭ಖᏑࡋࡑࢀࢆ⏝࠸࡚௵ពࡢ᫬࡜ሙᡤ࡛ᰁࡵࡿࠕ 3 ᘓ࡚ᰁࡵἲࠖࡀ㛤Ⓨࡉࢀࡓࡇ࡜࡟౫ࡿ[4]㸬⸛ᰁࡵࡢᇶᮏ࡜࡞ࡿᕤ⛬ࡢ኱ࡁ࡞ὶࢀࢆㄝ᫂ࡍ
ࡿ࡟࠶ࡓࡾ㸪ࡲࡎ⸛ᰁࡵ࡟࠿࠿ࢃࡿ໬Ꮫ≀㉁࡟ࡘ࠸
࡚ㄝ᫂ࡉࡏ࡚㡬ࡁࡓ࠸㸬ࡑࢀࡒࢀࡢ໬Ꮫᵓ㐀ᘧࡣᅗ
6 ࡟グ㍕ࡋ࡚࠸ࡿ㸬㻔㻝㻕䜲䞁䝕䜱䝂䠄㻵㼚㼐㼕㼓㼛䠅㸸⧄⥔➼࡟ᐃ╔ࡍࡿࡇ࡜࡟ࡼࡗ
࡚㟷⣔⤫Ⰽ࡟ᰁࡵࡿᰁᩱ㸬ⓎⰍࡉࡏࡿ୺せ࡞໬Ꮫᡂศࡣ Indigotin ࡜࿧ࡤࢀ㸪2 ಶࡢ Indoxyl ࡀⅬᑐ⛠࡟⤖ྜࡋࡓᵓ㐀࡛࠶ࡿ[3]㸬Ỉ࡟⁐ࡅ࡞࠸ࡓࡵ㸪ᰁⰍ࡟ࡣ୍᪦(2)ࡢࣟ࢖ࢥయࢆ௓ࡍࡿᚲせࡀ࠶ࡿ㸬㻔㻞㻕䝻䜲䝁య䜲䞁䝕䜱䝂䠄㻸㼑㼡㼏㼛㻙㻵㼚㼐㼕㼓㼛䠅㸸Indigo ࢆ㑏ඖࡍࡿࡇ࡜࡟ࡼࡗ࡚ᚓࡽࢀࡿ㸬↓㹼ⷧ࠸㯤Ⰽ࡟࡞ࡿࡀ
Ỉ࡟⁐ࡅࡿࡢ࡛ࡇࡢ≧ែ࡛⧄⥔➼࡟௜╔ࡉࡏ㸪ᚋ࡟✵Ẽ୰࡛㓟໬ࡉࡏࡿࡇ࡜࡟ࡼࡾ Indigotin ࡟ᡠ(4)Indican (↓Ⰽ)

ᅗ 6 Indigo 㛵㐃ศᏊࡢᵓ㐀ᘧ[3]ఏ⇕ 2020 ᖺ 1 ᭶

ᅗ 7 ⶑ⸛㸦ࢱࢹ࢔࢖㸧㸬㏻ᖖࡢࢱࢹ࡟ࡼࡃఝࡓ
ⰼࡀဏࡃ㸬യࡘ࠸ࡓⴥࡢ㒊ศࡣ⃰⤃Ⰽࢆ࿊ࡋ࡚
࠸ࡿࡢࡀ≉ᚩⓗ㸬㻌 ⸛ࡢ᱂ᇵ࣭཰✭࣭஝⇱ ⌧ᅾ㜿Ἴᆅ᪉࡛⾜ࢃࢀ࡚࠸ࡿ⸛ᰁࡵࡢᕤ⛬ࢆ㸪⡆༢໬ࡋ࡚ᅗ 8 ࡟♧ࡍ㸬ᮏ㡯࡟ࡘ࠸࡚ࡣ㸪᪂ᒃ㸦➹⪅ࡢ୍ே㸧ࡢ᪂ᒃ〇⸛ᡤࡢ࢚࢘ࣈࢧ࢖ࢺ[11]࡟ࢃ࠿ࡾ
ࡸࡍ࠸ື⏬࡟ࡼࡿゎㄝࡀ࠶ࡿ㸬ձ⸛ⴥࡢ᱂ᇵ࡜཰✭㸸3 ᭶ୖ᪪࡟ࡲࡎⱑᗋ࡟✀ࢆࡲࡁⱑࢆ⫱࡚㸪4 ᭶ୗ᪪࠿ࡽ 5 ᭶ୖ᪪࡟᪋⫧ࡋࡓᮏ⏿࡟⛣᳜ࡍࡿ㸬ᮏ⏿࡛ࡣ㸪℺Ỉ㸪᪋⫧㸪ᐖ⹸㥑㝖࡞࡝ࡢసᴗࢆࡋ 7 ᭶࠿ࡽ 8 ᭶࡟⸛ⴥࢆสࡾྲྀࡿ㸬ղ⸛⢊ᡂࡋ㸸཰✭ࡋࡓ⸛ⴥࡣ⿢᩿ᶵ࡛⣽࠿ࡃ⿢᩿ࡋ
ࡓᚋ㸪㢼࡟ࡼࡗ࡚ⴥ࡜ⱼࢆศࡅࡿ㸬ࡇࢀࢆࠕ⸛⢊ᡂࡋ㸦࠶࠸ࡇ࡞ࡋ㸧ࠖ࡜࠸࠺㸬ࡑࡢᚋࡣኳ᪥࡛஝⇱ࡍࡿ ᅗ 8ղ 㸬஝⇱ࡋࡓⴥࢆࠕⴥ⸛㸦ࡣ࠶࠸㸧ࠖ࡜࿧ࢇ(1)Indigotin (㟷Ⰽ) (2)Leuco-Indigo (↓㹼㯤Ⰽ)(3)Indoxylࡋ࡚⸛Ⰽ࡟ⓎⰍࡉࡏ࠿ࡘᐃ╔ࡉࡏࡿ㸬㻔㻟㻕䜲䞁䝗䜻䝅䝹㻔㻵㼚㼐㼛㼤㼥㼘㻕㸸Indigotin ࡢᵓᡂせ⣲㸬ྵ⸛᳜≀ࡢ୰࡟ࡣḟࡢ Indican ࡢᙧ࡛Ꮡᅾࡍࡿ㸬㻔㻠㻕䜲䞁䝕䜱䜹䞁㻔㻵㼚㼐㼕㼏㼍㼚㻕㸸Indigo ࡀྵ⸛᳜≀ࡢ୰࡛⮬↛⏺࡟ᗈࡃᏑᅾࡍࡿᙧ㸬ࢢࣝࢥ࣮ࢫ ୍✀ࡢ⢾ศ࡜⤖ྜࡋࡓᙧ࡛࠶ࡿࡀ㸪ࡇࡢ≧ែ࡛ࡣ↓Ⰽ࡛㸪ⴥࡢ⤌⧊୰࡟ศ㞳ࡋ࡚Ꮡᅾࡍࡿ㓝⣲ࡀస⏝ࡍࡿ࡜⤖ྜࡀ㞳ࢀ࡚ Indoxyl ࢆ⏕ᡂࡍࡿ[3]㸬ᅗ 7 ࡣ㸪ྵ⸛᳜≀ࡢ࠺ࡕᡃࡀᅜ୍࡛⯡ⓗ࡞ⶑ⸛ࢱࢹ࢔࢖ ࡛࠶ࡿ㸬ṇᖖ࡞ⴥࡣ㩭᫂࡞⥳Ⰽ࡛࠶ࡿࡀ㸪③ࢇࡔⴥ ୰ኸ௜㏆ ࡣ㏻ᖖࡢᯤࢀⴥࡢࡼ࠺࡞ⲔⰍ
࡛ࡣ࡞ࡃ㸪≉ᚩⓗ࡞㯮ࡎࢇࡔ㟷Ⰽ࡟࡞ࡗ࡚࠸ࡿࡢࡀ
ࢃ࠿ࡿ㸬ࡇࢀࡣ㸪ⴥࡢ⤌⧊ࡀ◚ቯࡉࢀࡓࡓࡵ࡟㸪ྵࡲࢀ࡚࠸ࡿ㓝⣲ࡀస⏝ࡋ࡚ Indican ࠿ࡽ Indigotin ࡀ⏕ᡂࡉࢀࡓࡵ࡛࠶ࡿ㸬࡞࠾㸪⸛ᰁࡵᰁᩱࡢ〇㐀ࡢࡓࡵ࡟ࡣ㛤ⰼ๓࡟ⴥࢆ᥇㞟ࡍࡿࡀ㸪ࡇࡇ࡛ࡣほᐹࡢࡓࡵ࡟㛤ⰼࡉࡏ࡚࠸ࡿ㸬- 40 -J. HTSJ, Vol. 59, No. 246

ࣄࢫࢺ࣮ࣜQ
࡛࠸ࡿ㸬ࡇࡢẁ㝵࡛ Indigotin ࡢ⏕ᡂࡀጞࡲࡗ࡚࠾
ࡾⴥ⸛ࡣᅗ 7 ࡢ③ࢇࡔⴥࡢࡼ࠺࡞⃰⤃Ⰽࢆ࿊ࡍࡿ㸬㻌 ⴥࡢ㓴㓝࣭ⵒ㸦ࡍࡃࡶ㸧ࡢ〇㐀ճᐷࡏ㎸ࡳ㸪ษࡾ㏉ࡋ㸸ⴥ⸛ࢆ㓴㓝ࡉࡏࡿࡇ࡜࡟ࡼ
ࡾ㸪ෆ㒊࡟࢖ࣥࢹ࢕ࢦ㸦ཝᐦ࡟ࡣ࢖ࣥࢹ࢕ࢦࢸ࢕ࣥ㸧ࢆ⏕ᡂࡉࡏࡿ㸬ࡑࡢࡓࡵ࡟㸪஝⇱ࡋࡓⴥ⸛ࢆ 10 ᭶㡭࠿ࡽ͆ᐷᗋ͇࡜࿧ࡤࢀࡿ኱ࡁ࡞಴ᗜࡢࡼ࠺࡞ᘓ≀ෆ࡛㓴㓝ࡉࡏࡿ㸬ᅗ 9 ࡣ㸪ᐷᗋࡢ෗┿࡜᩿㠃ᅗ࡛࠶ࡿ㸬ⵒࡢ㓴㓝㐣⛬࡟᪊࠸࡚㔜せ࡞ࡇ࡜ࡣ㸪Ỉศ㸪✵Ẽ౪⤥㸪 ᗘࡢ㐺ษ࡞⟶⌮࡛࠶ࡿ㸬ࡑࡢࡓࡵ㸪ᐷᗋࡢᗋࡣỈศࡢ㏻㐣ࢆࡼࡃࡍࡿࡓࡵ࡟㸪ୗ࠿ࡽ◁฼㸪◁㸪࣑ࣔ࢞ࣛ㸪⢓ᅵࡢ✚ᒙ࡟ࡋ㸪࠿ࡘഃቨ࡟ࡣ✵Ẽࡢྲྀࡾධࢀཱྀࢆタࡅ࡚࠸ࡿ㸬 సᴗ࡟࠶ࡓࡗ࡚ࡣ㸪⸛ⴥࢆ࠸ࡃࡘ࠿ࡢྎᙧࡢᒣ
㸦ᗋ㸦࡜ࡇ㸧࡜࿧ࡤࢀࡿ㸧࡟ศࡅ࡚✚ࡳୖࡆ㸪ࡇࡢ͆ᗋ͇࡟Ỉࢆ࠿ࡅࡿ ᅗ 10 ᕥୖ ࡜㓴㓝ࡀጞࡲࡾࡇࢀ
࡟క࠸ෆ㒊ࡢ ᗘࡀୖ᪼ࡍࡿ㸬ⴥ⸛ࡢ ᗘࡸ㓟⣲ࡢ౪⤥ࢆᆒ୍࡟ࡍࡿࡓࡵ࡟㸪ᅗ 10㸦ྑୗ㸧ࡢࡼ࠺࡟㸪ⴥ⸛ࢆᨩᢾࡋ࡞ࡀࡽ͆ᗋ͇ࢆ 1㹼2 m ࡎࡘ⛣ື࣭ ᚟ࡉࡏࡿ㸬ࡇࡢసᴗࢆษࡾ㏉ࡋ࡜ゝ࠸㸪ྛ͆ᗋ͇࡟
ᑐࡋ࡚㸪㐌࡟୍ᅇࡎࡘ⾜࠺㸬ษࡾ㏉ࡋసᴗ᫬௨እࡣᗋ࡟͆ࡩ࡜ࢇ͇࡜࿧ࡤࢀࡿ
⟙㸦ࡴࡋࢁ㸧ࢆ࠿ࡅ࡚ಖ ࡋ ᅗ 11 㸪㓴㓝ࡢ≧ែࢆぢ࡞ࡀࡽᗋࡢୖ࡟࠿ࡅࡿ⟙ࡢᯛᩘࡸỈᡴࡕࡢ㔞࡞࡝ࢆㄪ⠇ࡍࡿ㸬୰ᚰ௜㏆ࡢ ᗘࡣ 60㹼70ႏ࡟㐩ࡍᅗ 9 ᐷᗋ㸦సᴗሙ㸧࡜ࡑࡢ᩿㠃ᅗ㸬᥮Ẽ❆࡜✚ᒙࡢᗋ࡟≉ᚩࡀ࠶ࡿ ▼஭⏫Ṋ▱ᐙ [10]㸬ᅗ 10 ᕥୖ㸸Ỉᡴࡕ㸦➹⪅ࡢ୍ே᪂ᒃ㸧㸪ྑୗ㸸ษࡾ㏉ࡋ㸪୰ኸ㸸ษࡾ㏉ࡋ᫬ࡢ⾲㠃ࡢⴥࡢ ᗘ ⣙ 30ႏ㹼50ႏ 㸦᪂ᒃ〇⸛ᡤ㸧ᅗ 8 㜿Ἴᆅ᪉࡟࠾ࡅࡿ⸛ᰁࡵࡢఏ⤫ᢏ⾡㸦෗┿ࡣ᪂ᒃ〇⸛ᡤཬࡧᯇⱱ⏫ṔྐẸ಑㈨ᩱ㤋ᥦ౪㸧ఏ⇕ 2020 ᖺ 1 ᭶- 41 -

ࡿࡀ㸪ࡇࢀ௨ୖ࡟ୖࡆ࡞࠸ࡇ࡜ࡀ㔜せ࡛࠶ࡿ㸬ࡇࡢసᴗࢆ 2 ᭶㡭ࡲ࡛⣙ 20
ᅇ⾜࠺࡜㸪㓴㓝ࡀ཰ࡲࡗ࡚ࡁ࡚
ⴥࡀᔂࢀࡓሁ⫧ࡢࡼ࠺࡞≧ែ࡟࡞ࡿ ᅗ 8մ 㸬ࡇࡢ≧ែࢆࠕⵒࡍࡃࡶ ࠖ࡜࿧ࢇ࡛࠸ࡿ㸬͆ⵒ͇࡜࠸࠺ᩥᏐࡣ㸪ⲡ࡛ᰁࡵࡿ࡜࠸
࠺ព࿡ࡢ࿴〇₎Ꮠ࡛࠶ࡿ㸬ⵒ୰
࡟ࡣ Indoxyl ࡀ⏕ᡂࡋ࡚࠾ࡾ㸪ṧᏑࡍࡿⴥࡢ⤌⧊ࡸⱼࡶྠ᫬࡟ྵࡲࢀ࡚࠸ࡿࡓࡵ㸪Indoxyl ࡢ⃰ᗘࡣ㸪3㹼8㸣࡛࠶ࡿ࡜ゝࢃࢀ࡚࠸ࡿ㸬ⵒ୰࡟ࡣ᭷ᶵ≀ࡸᚤ⏕≀ࢆከࡃྵࡴࡓࡵ㸪ḟࡢసᴗࡢ⸛
ᘓ࡚࡟ࡣ᭷฼࡛࠶ࡿ[3]㸬ࡇࡢ≧ែ࡛㸪ࡑࢀࡒࢀࡢ⸛ᖌࡢᒇྕࢆ
グࡋࡓಥ࡟ワࡵ࡚ಖᏑࡋ㸪ฟⲴࡍࡿ㸬

J. HTSJ, Vol. 59, No. 246

ࣄࢫࢺ࣮ࣜQᅗ 11 ᕥୖ㸸⸛ⴥࡢᗋ㸦࡜ࡇ㸧㸬ෆ㒊 ᗘࡀᆒ୍࡟࡞ࡿࡼ࠺࡟୰ኸ㒊ࢆపࡃࡋ࡚࠸ࡿ㸬ྑୗ㸸͆ࡩ࡜ࢇ͇ࢆ࠿ࡅ࡚ಖ ࡋࡓ≧ែ࡞࠾㸪⸛ࢆಖᏑࡍࡿ᪉ἲ࡟ࡘ࠸࡚ୡ⏺ⓗ࡟ぢࡿ࡜㸪ᮏሗ࡛ྲྀࡾୖࡆࡓࠕⵒἲࠖࡣ㸪᪥ᮏ࡞࡝ᮾ࢔ࢪ࢔ࡢ
୰⦋ᗘᆅᖏ࡛⾜ࢃࢀ࡚࠸ࡿ࡯࠿㸪࣮ࣚࣟࢵࣃࡢ࢛࢘
࣮ࢻ࡛ࡶ㢮ఝࡢ᪉ἲࡀぢࡽࢀࡿ[3]㸬ࡇࡢ௚࡟ࡣ㸪࢖ࣥࢻࡸ୰ᅜ༡㒊࡞࡝Ẽ ࡢ㧗࠸ᆅᇦ࡛⾜ࢃࢀࡿࠕỿẊἲࠖࡀ࠶ࡿ[1,3,4,6]㸬ࡇࡢ᪉ἲࡣ㸪኱ࡁ࡞Ỉᵴ㸦ከࡃࡣᒇእ࡟タ⨨㸧࡟ྵ⸛᳜≀ࢆᾐࡋ㸪▼⅊࡞࡝ࢆධࢀຍ⇕ࡍࡿࡇ࡜ࡣ࡞ࡃᨩᢾࡋ࡚㸪⁐ࡅฟࡋ࡚⏕ᡂࡋࡓⰍ⣲㸦Indigotin㸧ࡀỈ࡟୙⁐ᛶ࡛࠶ࡿࡓࡵ࡟ỿẊࡍࡿࡢࢆྲྀࡾฟࡍࡶࡢ࡛㸪ࡑࡢࡲࡲࠕἾ⸛ࠖ࡜ࡋ࡚฼⏝ࡍࡿሙྜࡸ㸪஝⇱ࡉࡏ࡚ࠕ⸛
⃦㸦ࡽࢇ࡛ࢇ㸧ࠖ࡜ࡍࡿሙྜࡀ࠶ࡿ㸬 ᮏሗ࡛ࡣ㜿Ἴ⸛ࢆ୺㢟࡜ࡋ࡚࠸ࡿࡢ࡛ヲ㏙ࡣࡋ࡞࠸㸬㸧 ⸛ࢆᘓ࡚ࡿ
ࡍ࡛࡟㏙࡭ࡓ࡜࠾ࡾ㸪ᰁⰍᡂศ࡛࠶ࡿ Indigotin ࡣỈ࡟⁐ࡅ࡞࠸ࡓࡵ㸪ࡇࢀࢆ㑏ඖࡋ࡚Ỉ⁐ᛶࡢࣟ࢖ࢥ
య࡟ࡍࡿ㸬ࡇࡢ㑏ඖ㐣⛬࡜ḟࡢᰁⰍ㐣⛬ࡣ㸪ᅗ 8 ࡢյ࡜նࡸḟࡢᅗ 12 ࡟ぢࡽࢀࡿࡼ࠺࡞኱ࡁ࡞㝡ჾ〇ࡢ⏎ࢆ౑ࡗ࡚㸪ᾮࢆ⛣ࡋ᭰࠼ࡿࡇ࡜࡞ࡃ㐃⥆ࡋ࡚⾜ࢃࢀࡿ㸬ࡇࡢ㑏ඖ㐣⛬࡛ࡶࡸࡣࡾ⣽⳦࡟ࡼࡿ㓴㓝ࢆ฼⏝ࡋ࡚࠸ࡿ㸬㑏ඖࡀ㐍ࡴ࡜↓Ⰽ࠿ࡽ㯤Ⰽࡢࣟ࢖ࢥ
య࢖ࣥࢹ࢕ࢦࡀ⏕ᡂࡉࢀࡿ㸬ࡇࡢ࡜ࡁᾮ㠃௜㏆࡛ࡣ㓟໬ࡉࢀࡿࡓࡵ࡟ⓎⰍࡋ࡚⃰࠸㟷࠿ࡽ⣸ⰍࡢἻࡀᘓࡕ࠶ࡀࡿ㸦ᅗ 8յ㸧ࡢ࡛㸪ࡇࢀࢆࠕ⸛ࡢ⳹㸦ࡣ࡞㸧ࠖ࡜࿧ࢇ࡛࠸ࡿ㸬ࡇࡢᡭἲࡣ㸪⤒㦂ⓗ࡟ྲྀᚓࡉࢀ࡚ࡁࡓࡶࡢ࡛࠶ࡿ
ࡀ㸪ࡇࡇ࡛స⏝ࡍࡿ㑏ඖ⳦ࡣ㸪1960 ᖺ௦ࡢ㧗ཎ࣭⏣㎶࡟ࡼࡿ୍㐃ࡢ◊✲[12]ࡢ⤖ᯝぢฟࡉࢀ࡚࠸ࡿ㸬ࡇࡢ⣽⳦ࡣ㸪ᙉ࠸࢔ࣝ࢝ࣜᛶ㸦pH=10㹼11.5㸧ࢆዲࡳ㸪ኟᮇࡢᖖ ࡟㏆࠸ ᗘ㡿ᇦ㸦20㹼30Υ㸧࡛᭱ࡶάⓎ࡜࡞ࡿ[12]㸬᭱㏆࡛ࡣ DNA ゎᯒࡀฟ᮶ࡿࡼ࠺࡟࡞
ࡗࡓࡇ࡜ࡶ࠶ࡾ㸪㢮ఝࡢ㑏ඖ⳦ࢆⓎぢࡋࡓ࡜ࡢ」ᩘ
ࡢሗ࿌ࡶ࠶ࡿ[13, 14]㸬ࡇࡢ ᗘ⠊ᅖࡣ᫓࠿ࡽኟ࡟
࠿ࡅ࡚ࡣ㐺 ࡛࠶ࡿࡀ㸪෤ᮇ࡟ࡣẼ ࡀపࡃ࡞ࡗ࡚
㐣ࡂࡿࡓࡵ㸪ྂࡃࡣ⸛ᰁࡵࡣኟ๓ᚋ࡟ࡢࡳ⾜ࢃࢀ࡚࠸ࡓ[10]㸬
ᅗ 12 ࡟㸪⸛ᰁࡵ࡟࠾ࡅࡿ ᗘ⟶⌮ࡢⓎ㐩ࢆ♧ࡍ㸬ᐊ⏫᫬௦ࡢ⤮㸦ᕥ㸧࡛ࡣ㸪⏎ࡣ኱Ẽ୰࡟⨨࠿ࢀ࡚࠸ࡿࡀ㸪Ụᡞ᫬௦࡟ࡣ㸪ᅵ୰࡟ᇙࡵ࡚ಖ ࡋ࡚࠸ࡿ㸦୰㸧㸬ࡉࡽ࡟Ụᡞ᫬௦ᚋᮇ㸦ྑ㸧࡟࡞ࡿ࡜㸪ⅆና࡜࿧ࡤࢀࡿຍ⇕⿦⨨ࡀタࡅࡽࢀࡿࡼ࠺࡟࡞ࡾ㸪ᖺ㛫ࢆ
㏻ࡋ࡚ࡢᰁⰍసᴗࡀྍ⬟࡜࡞ࡗࡓ㸬ⅆናࡣ㸪⏎ 4 ಶ࡟୍ࡘタࡅࡽࢀ㸪࠾ࡀᒌ࡞࡝ࢆ࠸ࡪࡋ࡚ ᗘࢆಖᣢࡋࡓ[10]㸬ୗ࠿ࡽࡢ✵Ẽࡢྲྀࡾධࢀཱྀࡣ࡞ࡃ㸪ⅆຊࡣⅆናࡢ⵹ࡢ㛤ᗘ࡛ㄪ⠇ࡋ࡚࠸ࡿ㸬
19 ୡ⣖ึᮇ࣮ࣚࣟࢵࣃࡢ࢛࣮࢘ࢻ࡟ࡼࡿ⸛ᰁࡵ
ᕤሙ࡟᪊࠸࡚ࡣ㸪ᕧ኱࡞⸛⏎㸦⣙ 6000ε㸧ࢆ⏝࠸࡚㸪኱ࡁ࡞⇕※ࢆୖ࠿ࡽฟࡋධࢀࡍࡿࡇ࡜࡟ࡼࡗ࡚
ᗘࢆㄪ⠇ࡋ࡚࠸ࡓࡇ࡜ࡶ࠶ࡿࡇ࡜ࡀ㸪[3]࡟⤮ධࡾ࡛⤂௓ࡉࢀ࡚࠸ࡿ㸬⸛ᘓ࡚࡟ࡣ࠸ࢁ࠸ࢁ࡞ᡭἲࡀ࠶ࡿࡀ[1]㸪ࡇࡇ࡛ࡣⴭ⪅ࡢ୍ே㸦⯞஭㸧ࡀᯇⱱ⏫ṔྐẸ಑㈨ᩱ㤋࡛ᐇ᪋ࡋ࡚࠸ࡿᡭἲࢆࡶ࡜࡟⡆₩࡟⤂௓ࡍࡿ㸬ᅗ 13㸦ᕥ㸧ࡣ㸪࡯ࡄࡋࡓⵒࢆ⸛⏎(ᐜ✚ 270ε)࡟࠸ࢀ㸪ࡑࡇ࡟ᅗ 13 ᕥ㸸ⵒࢆ࠸ࢀࡓ⸛⏎࡟ຍ⇕ࡋࡓ⅊Ồ㸦࠶ࡃ㸧ࢆᢞධࡋࡘࡘᨩᢾ㸬ྑ㸸ᨩᢾ୰ࡢ ᗘศᕸ㸬⾲㠃ࡣ⣙ 50Υ㸪ᕥഃ࡟ⅆናࡀ࠶ࡿࡓࡵ⏎ࡢᕥഃࡢ ᗘࡀ㧗࠸㸬㸦୧⪅ࡢ᧜ᙳ᫬Ⅼࡣ␗࡞ࡿ㸬㸧ᅗ 12 ⸛ᰁࡵࡢ ᗘ⟶⌮ࡢኚ㑄ᕥ㸸㸦ᐊ⏫᫬௦㸧⏎ࡣ኱Ẽ୰࡟タ⨨㸬୰ኸ㸸㸦ඖ⚘ᖺ㛫㸧ᅵ୰࡟ᇙࡵ࡚ಖ 㸬ྑ㸸㸦ᩥᨻᖺ㛫㸧ⅆና࡜࿧ࡤࢀࡿຍ⇕⿦⨨㸦▮༳㸧ࡀຍ࠼ࡽࢀ࡚࠸ࡿ[10]

ఏ⇕ 2020 ᖺ 1 ᭶

- 42 -J. HTSJ, Vol. 59, No. 246

ࣄࢫࢺ࣮ࣜQᗘ⣙ 75Υ㸪pH ⣙ 12 ࡢ⅊Ồࢆὀࡂධࢀ࡞ࡀࡽᨩᢾ
ࡋ࡚࠸ࡿᶍᵝ࡛࠶ࡿ㸬ྠ(ྑ)ࡣ㸪⣙ 10㹼15 ศ⤒㐣ᚋࡢ⸛⏎ෆࡢ ᗘศᕸ࡛࠶ࡿ㸬ᾮ㠃ࡢ⾲㠃 ᗘࡣ⣙50Υ࡛㸪ᕥഃ࡟ⅆና㸦㟁Ẽࣄ࣮ࢱ࣮㸧ࡀ࠶ࡿࡓࡵ㸪ቨ ࡀୖ᪼ࡋ࡚࠸ࡿ㸬ࡑࡢᚋ㸪⅊Ồࢆຍ࠼࡚ᐜ✚ࢆቑࡸࡋᨩᢾࡶ⥆ࡅࡿ࡜㸪3 ᪥┠㡭࡟ᾮ㠃࡟࣏ࢶ࣏ࢶ࡜⣸㔠ⰍࡢᩬⅬࡀ⌧ࢀࡿࡢ࡛㸪୰▼࡜࿧ࡤࢀࡿᾘ▼⅊ࢆຍ࠼࡚ pH ࢆㄪ⠇ࡍࡿ㸬㑏ඖࡀ㐍ࡴ࡜ CO2 ࡸỈ⣲࢞ࢫࡀⓎ⏕ࡍࡿࡓࡵ࡟ pH ࡀୗࡀࡗ࡚ࡃࡿࡓࡵ࡛࠶ࡿ㸬ࡉࡽ࡟㑏ඖ⳦ࡢ͆ᰤ㣴㸦㈿ά໬㸧͇ࡢࡓࡵ࡟㸪ࣇࢫ࣐㸦⢶໬ࡋࡓᑠ㯏ࡢ⾲⓶㸧ࡸΎ㓇ࢆຍ࠼ࡿ㸬pH ࡀୗࡀࡿࡓࡧ
࡟ࡇࢀࡽࢆᩘᅇ⧞ࡾ㏉ࡍ࡜㸪5㹼7 ᪥┠㡭࡟ࡣ⾲㠃࡟⥳ࡢ⃰࠸Ἳࡀ࡛ࡁ࡚㟷Ⰽ࡟ኚࢃࡾ㸪㓴㓝ࡀ㡬Ⅼ࡟㐩ࡋࡓឤࡀ࠶ࡿࡢ࡛㸪ࡉࡽ࡟▼⅊㸦Ṇ▼࡜࿧ࡤࢀࡿ㸧ࢆධࢀࡿ㸬ࡇࡢ㡭࡟ࡣᅗ 8յࡢࡼ࠺࡟ࠕ⸛ࡢ⳹ࠖࡀ
ᾋ࠿ࡪ㸬ࡑࡢᚋࡣ pH=10.5㹼11.0 ࡢ⠊ᅖࢆಖᣢࡍࡿ
ࡼ࠺⅊Ồ㸪▼⅊➼࡛ㄪᩚࡋ࡞ࡀࡽ⥔ᣢࡍࡿ㸬
ᅗ 14 ࡣ㸪ᰣᮌ┴┈Ꮚ⏫ࡢᰁ⧊ᕤᡣ᪥ୗ⏣㸦ࡦࡆࡓ㸧⤃ᒇ[15]࡟୪ࡪ⸛ᰁࡵ⏎࡛࠶ࡿ㸬⌧ᅾࡶ᪥ୗ⏣ṇẶࡀ㸪ఏ⤫ⓗ࡞ᡭἲ࡛⥥ࡢ᱂ᇵ㸪ᮌ⥥ࡢ⣒࡙ࡃࡾ㸪⸛ࡢ⣒ᰁࡵࡸᡭ⧊ࡾࢆ⥅ᢎࡋ࡚࠾ࡽࢀࡿ㸬⸛⏎࡟ࡣ⸛ࡢ⳹ࡀ⨾ࡋࡃᘓࡗ࡚࠾ࡾ㸪౑⏝ࡋ࡚࠾ࡽࢀࡿⵒࡣ
ࡸࡣࡾᚨᓥ⏘ࡢ㜿Ἴ⸛࡛࠶ࡿ࡜ࡢࡇ࡜࡛࠶ࡗࡓࡓ
ࡋ࠿࡟⏎ 4 ಶ࡟୍ࡘࡎࡘⅆ㔩ࡢ⵹ࡀぢ࠼㸪⌧ᅾࡶ࠾ࡀᒌࢆ⇞ࡸࡋ࡚࠾ࡽࢀࡿ㸬㝡ჾࡢ⏫┈Ꮚࡽࡋࡃ㸪⵹ࡀ㝡ჾ〇࡛࠶ࡿࡢࡶ༳㇟῝࠸㸬ᩱᾮࢆ࠸ࡁࢃࡓࡽࡏ㸪ࡑࡢᚋࡺࡗࡃࡾᰁᩱᾮ࠿ࡽฟ
ࡍ࡜㸪✵Ẽ࡟ゐࢀࡿࡇ࡜࡟ࡼࡾ㓟໬ࡋ࡚㟷Ⰽ࡟ⓎⰍࡍࡿ㸬ᅗ 15 ࡣ㸪ᯇⱱ⏫ṔྐẸ಑㈨ᩱ㤋࡛⾜ࡗ࡚࠸ࡿᏊ࡝ࡶ㐩࡬ࡢ⸛ᰁࡵయ㦂࠿ࡽࡢ⏬ീ࡛࠶ࡿ㸬ࡇࡢࡼ࠺࡞ᾐᰁ࠾ࡼࡧ✵Ẽ㓟໬ࢆ୍ᕤ⛬࡜ࡋ㸪ࡇࡢ⾜⛬ࢆ⧞ࡾ㏉ࡍࡇ࡜࡟ࡼࡗ࡚ḟ➨࡟⃰࠸Ⰽ࡟ᰁࡵ࡚࠸ࡃ㸬┠ᶆࡢⰍ࡟࡞ࡗࡓࡽ㸪༑ศ࡟ỈὙ࠸ࢆࡋ஝⇱ࡋ࡚௙ୖࡆࡿ㸬

ᅗ 15 ᰁⰍ㸸✵Ẽ࡟ゐࢀࡿ࡜㓟໬ࡋ࡚ⓎⰍࡍࡿ㸬㸦ᯇⱱ⏫ṔྐẸ಑㈨ᩱ㤋ᥦ౪㸧ࡇࡢࡼ࠺࡟㸪⸛ᰁࡵࡣ᭱ึ࠿ࡽ⃰ࡃᰁࡲࡿࡢ࡛ࡣ
࡞ࡃ㸪ఱᗘࡶᰁᩱᾮ࡟ᾐࡅ࡚㓟໬ࡍࡿᕤ⛬ࢆ⧞ࡾ㏉ࡍࡇ࡜࡟ࡼࡗ࡚⃰ῐࢆㄪᩚࡋ࡚࠸ࡿ㸬᪥ᮏேࡣ㸪༢࡞ࡿⷧ࠸⸛Ⰽ㸪⃰࠸⸛Ⰽ࡜࠸࠺༊ู
࡛ࡣ࡞ࡃ㸪ࡑࢀࡒࢀ࡟Ⰽࡢྡ๓ࢆࡘࡅ࡚ᴦࡋࢇ࡛ࡁ
ࡓ㸬ᅗ 16 ࡟ࡑࡢ౛ࢆ♧ࡋ࡚࠸ࡿ[16]㸬ࡇࡢࡼ࠺࡟⸛
ࡣ㸪⸛Ⰽࡔࡅ࡛࡞ࡃᚤጁ࡟㐪ࡗࡓᖜᗈ࠸Ⰽࢆᰁࡵࡿ
ࡇ࡜ࡀ࡛ࡁࡿ㸬᭱ᚋ࡟㸪ኳ↛ᰁᩱ࡜ྜᡂᰁᩱࡣศᏊᵓ㐀ࡀྠࡌ࡛࠶ࡿ࡟ࡶ࠿࠿ࢃࡽࡎ㸪௙ୖࡀࡗࡓసရ࡟ࡣᕪࡀ࠶ࡿ
ࡢ࡛࠶ࢁ࠺࠿㸬ࡇࢀ࡟ࡘ࠸࡚㸪࢖ࢠࣜࢫ࡛ྜᡂ⸛࡛
ࡢᰁⰍࢆ⾜࠸᪥ᮏ࡟⁫ᅾࡋ࡚᪥ୗ⏣⤃ᒇ࡛㜿Ἴࡢⵒࢆ౑ࡗࡓኳ↛⸛ࡢᰁⰍࢆయ㦂ࡋࡓࣜࣥࢲ࣭ࣈࣛࢩ
ࣥࢺࣥࡣ㸪ࠕྜᡂ⸛࡛ࡣᴟࡵ࡚⃰࠸⸛Ⰽࡸῐ࠸⸛Ⰽ

ᅗ 14 ⌧ᅾࡶ᧯ᴗࡍࡿᰣᮌ┴┈Ꮚ⏫ࡢᰁ⧊ᕤᡣ᪥ୗ⏣⤃ᒇ㸬⸛⏎࡟ࡣ⸛⳹ࡀᘓࡗ࡚࠾ࡾ㸪⸛⏎ 4 ಶᙜࡓࡾ࡟୍ࡘࡢⅆ㔩ࡢ⵹ࡀぢ࠼ࡿ㸬 ⸛ࢆᰁࡵࡿ
ࡇ࠺ࡋ࡚㑏ඖࡉࢀࡓᰁⰍᾮࡀ‽ഛ࡛ࡁࡿ࡜㸪ྠࡌ⸛⏎ࢆ౑ࡗ࡚ᰁⰍࡍࡿ㸬ᰁࡵࡓ࠸ࡶࡢ㸦ᕸࡸ⣒㸧ࢆ‽ഛࡋ㸪ࡲࡎỈ࡟ࡃࡄࡽࡏ࡚‵₶ࡋ㸪ࡑࡢᚋ⬺Ỉࡍࡿ㸬ḟ࡟ᕸࡸ⣒ࢆᰁᩱᾮ୰࡟ධࢀ㸪඲య࡟ᆒ୍࡟ᰁ

ఏ⇕ 2020 ᖺ 1 ᭶

ᅗ 16 ⸛ᰁࡵ࡛ࡣᖜᗈ࠸⃰ῐࡢⰍࡀ⾲⌧࡛ࡁ㸪ࡑࢀࡒࢀ࡟ྡ๓ࡀࡘࡅࡽࢀ࡚࠸ࡿ㸬㸦[16]ࢆཧ⪃࡟㸪[17, 18]ࢆ฼⏝ࡋ࡚సᡂ㸬㸧

- 43 -J. HTSJ, Vol. 59, No. 246

ࣄࢫࢺ࣮ࣜQ

ࢆฟࡍࡢࡀࡴࡎ࠿ࡋ࠸ࡀ㸪ኳ↛⸛ࡣỈⰍࡢࡼ࠺࡞ῐ
࠸Ⰽ࠿ࡽ࡜࡚ࡶ⃰࠸⸛Ⰽࡲ࡛ᰁࡵࡽࢀ㸪⾲⌧࡛ࡁࡿⰍࡢᖜࡀ࡜࡚ࡶᗈ࠸ࠖ࡜༳㇟ࢆ㏙࡭࡚࠸ࡿ[19]㸬ࡼࡾᚤ⣽࡞ほⅬ࠿ࡽࡣ㸪ᕝேࡽ[20]ࡣ㸪ኳ↛⸛ࡢᰁⰍᕸ࡛ࡣ୺࡟⧄⥔⾲㠃࡛ᰁᩱࡀ㞟ࡲࡗ࡚࠸ࡿࡓ
ࡵ࡟ࡼࡾ㩭ࡸ࠿࡞Ⰽ࡟࡞ࡾ㸪࠿ࡘṇつศᕸࢆ♧ࡍᚤ⣽࡞ࠕⁱ㸦࡟ࡌࡳ㸧ࠖࡀ࠶ࡗ࡚ࡇࢀࡀ⮬↛࡞ࠕⰍࡴࡽࠖࢆឤࡌࡉࡏ࡚࠸ࡿ࡜㏙࡭࡚࠸ࡿ㸬㸳㸬࠾ࢃࡾ࡟
௨ୖ࠿ࡽ㸪ᮏ✏ࡢ୺㢟࡛࠶ࡿఏ⤫ⓗ⸛ᰁࡵᢏ⾡࡜ࠕ⇕ࠖ࡜ࡢ㛵ࢃࡾ࡟ࡘ࠸࡚⪃࠼ࡿ࡜㸪኱ࡁࡃࡣḟࡢ
3 Ⅼ࡟ࡲ࡜ࡵࡽࢀࡿ㸬➨୍ࡣ㸪ࡲࡎࠕⵒἲࠖ࠿ࠕỿẊἲࠖ࠿ࡢ㑅ᢥ࡛࠶ࡿ㸬࢖ࣥࢻࡸ୰ᅜ༡㒊࡞࡝ࡢẼ ࡢ㧗࠸ప⦋ᗘᆅᖏ
࡟࠾࠸࡚ࡣ㸪ྵ⸛᳜≀୰ࡢྵ⸛㔞ࡶከࡃ㸪ᒇእࡢỈᵴ࡛≉ู࡞ຍ⇕ࡣ࡞ࡃ⸛ᡂศࢆỿẊࡉࡏࡿࠕỿẊἲࠖ
ࡀⓎ㐩ࡋࡓ[1]㸬ࡇࢀ࡟ᑐࡋ㸪୰⦋ᗘᆅᖏ࡟఩⨨ࡍࡿ᪥ᮏࡸ࣮ࣚࣟࢵࣃ࡟࠾࠸࡚ࡣ㸪ᒇෆ࡛㓴㓝᫬ࡢⓎ⇕ࢆ฼⏝ࡋ࡚ ᗘࢆ⥔ᣢࡋࡘࡘ㓴㓝ࡉࡏࡿࠕⵒἲࠖࡀ
Ⓨ㐩ࡋ࡚ࡁࡓ㸬ࡇࡢࡼ࠺࡟ࡇࡢ஧ࡘࡢ㑅ᢥࡣ㸪ྵ⸛᳜≀ࡢᡂ㛗ཬࡧ཰✭᫬ᮇ࡟࠾ࡅࡿẼ ࡢᕪࡀ୺ࡓࡿせᅉ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿ㸬㸦 ᗘ࡜⇕ࡣ␗࡞ࡿᴫ
ᛕ࡛࠶ࡿࡀ㸪ࡇࡇ࡛ࡣ⡆༢ࡢࡓࡵ࡟ࡇࡢグ㏙࡟␃ࡵࡿ㸬㸧➨஧ࡣⵒࡢ〇㐀࡟࠾ࡅࡿ ᗘ⟶⌮࡛࠶ࡿ㸬⸛ⴥࡢ㓴㓝ࡢࡓࡵࡢ㐺 ࡣ 50Υ๓ᚋ࡜ᖖ ࡼࡾࡶ㧗࠸ࡓ
ࡵ[3]㸪ఱࡽ࠿ࡢ⇕※ࡀᚲせ࡛࠶ࡿ㸬ࡇࢀ࡟ࡘ࠸࡚ࡣ㸪㓴㓝࡟క࠺Ⓨ⇕⮬యࢆ⇕※࡜ࡋ࡚฼⏝ࡋ㸪ᆒ୍࠿ࡘ㐺ษ࡞ ᗘ࡟࡞ࡿࡼ࠺࡟㸪᩿⥆ⓗ࡟ᨩᢾࡋࡘࡘ͆ᗋ
㸦࡜ࡇ㸧͇ࡢཌࡉࡸ͆⟙͇㸦ࡩ࡜ࢇ࡜࿧ࡤࢀࡿ㸧ࡢ㔞ࢆㄪ⠇ࡋ࡚㐺 ࢆᚓ࡚࠸ࡿ㸬࠿ࡘ࡚ࡣ㸪㐣ᗘࡢ ᗘୖ᪼ࢆ㜵ࡂ㸪࠿ࡘ௜ຍⓗ࡞⇞ᩱࢆ⏝࠸࡞࠸ࡓࡵ࡛࠶
ࡗࡓࢁ࠺ࡀ㸪⌧௦ⓗ࡞ほⅬ࠿ࡽࡣ㸪⎔ቃࡢಖ඲࡟ࡶ
㓄៖ࡋࡓ᪉ἲ࡜࡞ࡗ࡚࠸ࡿ㸬➨୕࡟ࡣ㸪⸛ᘓ࡚࡟࠾ࡅࡿ ᗘ⟶⌮࡛࠶ࡿ㸬ࡇࡢ࡜ࡁ࡟ാࡃ㑏ඖ⳦࡟࡜ࡗ࡚ࡢ᭱㐺 ᗘࡣ 20㹼30Υ࡛࠶ࡿࡓࡵ[13]㸪෤ᮇࢆྵࡵ࡚ᖺ㛫ࢆ㏻ࡋ࡚ᰁⰍࢆ
⾜࠺ࡓࡵ࡟ 200 ᖺ࡯࡝๓࠿ࡽ⇕※ࡀᑟධࡉࢀࡿࡼ
࠺࡟࡞ࡗࡓ㸬ࡑࢀ௨๓࠿ࡽ⸛⏎ࢆᅵ୰࡟ᇙἐࡉࡏ࡚ಖ ࡍࡿࡼ࠺࡟ࡶ࡞ࡗ࡚࠾ࡾ㸪⇕※ࡣ࠾ࡀᒌࢆ࠸ࡪ
ࡍ⛬ᗘࡢࡶࡢ࡛࠶ࡿ㸬ᰁⰍሙ඲యࡢつᶍࡀ኱ࡁࡃ࡞
ࡿ࡜㸪⸛⏎ࡢᩘࢆቑࡸࡋ࡚ࡇࢀࡽࢆ◻┙ࡢ┠ࡢ࣐ࢺࣜࢵࢡࢫ≧࡟㓄⨨ࡋ㸪ࡑࡢ୰࡟つ๎ⓗ࡟⇕※ࢆศᩓఏ⇕ 2020 ᖺ 1 ᭶- 44 -

ࡋ࡚㓄⨨ࡍࡿ᪉ᘧࡀ㛤Ⓨࡉࢀࡓ㸦ᅗ 14㸧㸬ࡇࢀࡣ㸪ᰁⰍࡢసᴗᛶ࠿ࡽࡶ㸪ᑡ㔞ࡢ⇕※࡛ᆒ୍࡞ ᗘศᕸࢆᚓࡿୖ࠿ࡽࡶ㸪⌮࡟࠿࡞ࡗࡓ᪉ἲ࡛࠶ࡿ࡜ゝ࠼ࡿ㸬ᮏ✏ࡢᡂ❧㐣⛬ࡣෑ㢌࡟ࡶ㏙࡭ࡓࡀ㸪2019 ᖺࡢᚨᓥ࡟࠾ࡅࡿ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘࡟᪊࠸࡚㸪㜿Ἴ⸛ࡢఏ⤫ᢏ⾡࡜ࠕ⇕ࠖ࡜ࡢ㛵ࢃࡾ࡟㛵ࡍࡿ࣮࢜࢞ࢼ
࢖ࢬࢻࢭࢵࢩࣙࣥࢆ㛤ദࡋࡓ㝿࡟㸪⸛ࡢ᱂ᇵ࠿ࡽఏ
⤫ⓗ࡞ⵒ࡙ࡃࡾࡸᚋ㐍ࡢ⫱ᡂ࡟ࡶ࠶ࡓࡗ࡚࠾ࡽࢀ
ࡿ⸛ᖌࡢ᪂ᒃಟẶ㸦⌧௦ࡢྡᕤ㸧࡜㸪㜿Ἴ⸛࡟㛵ࡍࡿṔྐⓗ㈨ᩱࢆ཰㞟ಖᏑࡍࡿ୕ᮌᩥᗜࡢᏛⱁဨ࡛
࠶ࡾ࠿ࡘ⸛ᰁࡵࡢᣦᑟ⪅࡛ࡶ࠶ࡿ⯞஭⏤⨾ᏊẶ࡟ࡈㅮ₇ࢆ࠾㢪࠸ࡋࡓ㸬࠾஧ே࠿ࡽࡣ㜿Ἴ⸛࡬ࡢ⇕࠸࠾Ẽᣢࡕࡢࡇࡶࡗࡓࡈㅮ₇ࢆ࠸ࡓࡔ࠸ࡓࡇ࡜࡟ᚰ
࠿ࡽឤㅰࡋࡓ࠸㸬ᮏሗࡣ㸪ࡇࡢ࡜ࡁࡢࡈㅮ₇ཎ✏ཬ
ࡧ㈨ᩱࢆᇶ࡟㸪Ἑᮧࡀከᑡࡢㄪᰝ࡜⪃ᐹࢆຍ࠼㸪࠾஧ேࡢࡈᰯ㜀ࢆᚓࡘࡘࡲ࡜ࡵࡓࡶࡢ࡛㸪඲యࡢᩥ㈐ࡣἙᮧ࡟࠶ࡿ㸬௨ୗࡣ㸪࠾஧ே࠿ࡽ࠸ࡓࡔ࠸ࡓࢥ࣓ࣥࢺ࡛࠶ࡿ㸬‫ࡢࡇ۔‬ㅮ₇఍ࡢ࠶ࡗࡓᩘ᪥๓࡟㜿Ἴ⸛ࡀ᪥ᮏᩥ໬
㑇⏘࡟ㄆᐃࡉࢀࡲࡋࡓ㸬㛵ಀ⪅ࡢ᪉ࠎࡢດຊࡀㄆࡵ
ࡽࢀࡲࡋࡓࡢࡣ኱ኚ႐ࡤࡋ࠸ࡇ࡜࡛ࡍ㸬ࡕࡻ࠺࡝ࡇ
ࡢࡼ࠺࡞ᶵ఍࡟㸪⇕࡟㛵ࡍࡿ◊✲ࢆࡋ࡚࠾ࡽࢀࡿ㈗Ꮫ఍ࡢࢩ࣏ࣥࢪ࣒࡛࢘㜿Ἴ⸛࡟ࡘ࠸࡚ࡢࡈ⤂௓ࡀ࡛ࡁࡓࡇ࡜ࡣ኱ኚ࠺ࢀࡋ࠸ࡇ࡜࡛ࡋࡓࡋ㸪⸛ᰁࡵࡢఏ⤫ᢏ⾡ࡀ⇕࡟῝ࡃ㛵ࢃࡗ࡚࠸ࡿࡇ࡜ࢆᨵࡵ࡚ㄆ
㆑ࡍࡿࡇ࡜ࡀฟ᮶࡚, ኱ኚ᭷ព⩏࡛ࡶࡈࡊ࠸ࡲࡋ
ࡓ㸬ࢃࡓࡃࡋࡀ໅ົࡋࡲࡍ୕ᮌᩥᗜࡀᡤᅾࡍࡿᯇⱱ
⏫࡛ࡣ㸪ࡇࡢ㜿Ἴ⸛ࡢఏ⤫ࢆᚋ࡟ఏ࠼࡚Ⓨᒎࡉࡏ࡚ࡺࡃࡓࡵ࡟㸪⏫ෆࡢᗂ⛶ᅬඣ࡟ࡣぶᏊ࡛ࡢ⸛ᰁࡵయ
㦂ࢆ㸪ࡲࡓᑠᏛ 6 ᖺ⏕࡟ࡣᑠᏛᰯࡢᛮ࠸ฟࢆ༞ᴗグᛕ࡜ࡋ࡚⸛ᰁࡵసရࢆไసࡋ࡚ࡶࡽࡗ࡚࠾ࡾࡲࡍ㸬ࢃࡓࡃࡋࡶ࠾ᡭఏ࠸ࢆࡉࡏ࡚㡬࠸࡚࠾ࡾࡲࡍࡀ㸪⸛⏎࠿ࡽసရࢆᘬࡁୖࡆ࡚⸛Ⰽ࡟ኚࢃࡗ࡚࠸ࡃ࡜ࡁ
ࡢᏊ࡝ࡶ㐩ࡢḼኌࢆ⪺ࡁࡑࡢ┠ࡢ㍤ࡁࢆぢࡿࡢࡣ㸪࡜࡚ࡶ࠺ࢀࡋࡃࡲࡓᚰ࡙ࡼ࠸ࡇ࡜࡛ࡍ㸬୕ᮌᩥᗜ࡟࠾࠸࡚ࡣ㸪ᮏᩥ୰࡟ࡶ㏙࡭ࡲࡋࡓࡼ࠺
࡟㸪ᙜᐙࡀỤᡞ᫬௦࡟⸛ၟ࡜ࡋ࡚ᰤ࠼ࡓ᫬௦ࡢ㜿Ἴ⸛㛵ಀ㈨ᩱ㸪ࡉࡽ࡟ࡇࡢᆅ᪉ࡢ㜿Ἴேᙧί⍠⍵Ⱚᒃ㛵ಀ㈨ᩱࡸᆅ᪉ࡢྛ✀ࡢྂᩥ᭩࡞࡝ࢆᩘከࡃ཰ⶶ
ࡋ࡚࠸ࡲࡍ㸬㜿Ἴ⸛㛵ಀ㈨ᩱࡣ㸪ᆅ᪉ྐࡸὶ㏻⤒῭ྐ࡞࡝ࡢ◊✲⪅࡟ᩘከࡃ฼⏝ࡉࢀ㸪୕ᮌᐙࡢ⤒Ⴀࡸ㜿Ἴ⸛ࡢὶ㏻࡟ࡘ࠸࡚ㄽࡌࡽࢀࡿࡢ࡟ᙺ❧ࡗ࡚࠾ࡾࡲࡍ㸬ࡋ࠿ࡋ኱⚟ᖒ࡞࡝ከࡃࡢྐᩱࡣ㸪Ụᡞ᫬௦

J. HTSJ, Vol. 59, No. 246

ࣄࢫࢺ࣮ࣜQ

࡟సᡂࡉࢀࡓࡶࡢ࡛࠶ࡿࡓࡵ㸪ᮍࡔ኱㒊ศࡀゎ᫂ࡉࢀ࡚࠾ࡾࡲࡏࢇ㸬௒ᚋࡶᑡࡋ࡛ࡶከࡃࡢྐᩱࢆゎㄞࡋᩚ⌮ࡋ࡚ᥦ౪ࡍࡿࡇ࡜࡟ࡼࡾ㸪㜿Ἴ࡟࠾ࡅࡿ⸛ࡢ
Ṕྐࡢࡳ࡞ࡽࡎ඲ᅜ࡟ᣑࡀࡿ㜿Ἴ⸛ྐࢆᚋୡ࡟ఏ
࠼࡚࠸ࡅࡿࡼ࠺ྲྀࡾ⤌ࢇ࡛ཧࡾࡓ࠸࡜Ꮡࡌ࡚࠾ࡾ
ࡲࡍ㸬㸦⯞஭⏤⨾Ꮚ㸧‫۔‬௒ᅇࡢㅮ₇఍࡛ࡣ㸪ࡈ౫㢗ࢆཷࡅ࡚ఏ⤫ⓗ࡞⸛ࡢ᱂ᇵ࠿ࡽⵒ࡙ࡃࡾ࡟ࡘ࠸࡚࠾ヰࡋࢆࡉࡏ࡚㡬࠸ࡓ㸬ᐙᴗࢆ⥅࠸࡛ⵒ࡙ࡃࡾ࡟ᦠࡗ࡚࠸ࡿ⸛ᖌ࡛࠶ࡿࡀ㸪⌧ᅾ࡛ࡣⵒ࡙ࡃࡾࡢ࡯࠿࡟㸪⸛ࡢ᱂ᇵࡸ〇ရ࡛࠶ࡿⵒࡢά⏝ࡶྵࡵ࡚㸪⥲ྜⓗ࡟㜿Ἴ⸛ࡢఏ⤫ᢏ⾡ࡢಖᏑ࡜ࡑࡢⓎᒎ࡟ດࡵ࡚࠸ࡿ㸬㜿Ἴ⸛ࢆྲྀࡾᕳࡃ⎔ቃࡣኚ໬ࡋ࡚࠾ࡾ㸪ࡑࡢ୰࡛㸪ఏ⤫ᢏ⾡ࡢ㔜せ࡞㒊ศࡣ⥔ᣢࡋࡘࡘࡶ᫬௦࡟ᛂࡌࡓᨵⰋࢆຍ࠼㸪᪂ࡓ࡞ά⏝ศ㔝ࢆ㛤ᣅࡋ㸪࠿ࡘḟୡ௦࡟ఏ࠼࡚࠸ࡃࡇ࡜ࡀ㔜せ࡛࠶ࡿ࡜⪃࠼࡚࠸ࡿ㸬ᮏ✏࡟཰㘓ࡉࢀ࡚࠸ࡿⵒ࡙ࡃࡾࡢ෗┿㸦ᅗ 8, 10䠅࡛ඹ࡟సᴗࢆࡋ࡚࠸ࡿேࡓࡕࡣ┴ෆእ࠿ࡽࡢ◊ಟ⪅࡛㸪ࡇࡢࡼ࠺࡟ࡋ࡚⸛࡙ࡃࡾࢆ㌟࡟ࡘࡅ࡚ࡶࡽࡗ
࡚࠸ࡿ㸬ࡍ࡛࡟ࡇࢀࡽࡢಟ஢⪅ࡓࡕࡢఱேࡶࡀ㸪ᆅඖ࡟ᡠࡗ࡚⸛ࡢ᱂ᇵ㸪ⵒ࡙ࡃࡾ࠿ࡽ⸛ᰁࡵసရࡢ〇స㡺ᕸࡲ࡛ࡢᣐⅬࢆసࡾࡘࡘ࠶ࡿࡇ࡜ࡣ኱ኚࡼࢁ
ࡇࡤࡋ࠸ࡇ࡜࡛࠶ࡿ㸬ࡇࢀࡽࢆ㏻ࡌ࡚㸪௒ᚋࡶ㜿Ἴ⸛ࡢఏ⤫ࡢಖᏑ࡜Ⓨᒎ㸪ࡉࡽ࡟ࡣḟୡ௦࡬ࡢ⥅ᢎ࡟୍ᒙࡢຊࢆᑾࡃࡋ࡚⾜ࡁࡓ࠸㸬㸦᪂ᒃ ಟ㸧 ᮏ✏ࡢసᡂ࡟࠶ࡓࡗ࡚ࡣ㸪୕ᮌᩥᗜ㸪᪂ᒃ〇⸛ᡤ㸪ᯇⱱ⏫ṔྐẸ಑㈨ᩱ㤋࠿ࡽ㈨ᩱࡢࡈᥦ౪ࢆ㡬࠸ࡓ㸬ࡲࡓ㸪ᚨᓥఏ⇕ࢩ࣏ࣥࢪ࣒࢘࡟࠾ࡅࡿ࣮࢜࢞ࢼ࢖ࢬ
ࢻࢭࢵࢩࣙࣥࡢ㛤ദ࡟ࡘ࠸࡚ࡣ㸪ฟཱྀ⚈ၨඛ⏕㸦ᚨᓥ኱Ꮫ㸧ࢆࡣࡌࡵ࡜ࡍࡿᐇ⾜ጤဨ఍࡟ࡈᨭ᥼ࢆ㡬࠸ࡓ㸬ࡇࡇ࡟グࡋ࡚ឤㅰࡍࡿ㸬㸦Ἑᮧ ὒ㸧

e1501623.
[3] D. Cardon, “Natural Dyes; Sources, Tradition,
Technology and Science”, 2007, Archetype Publications.
[4] ୕ᮌ⏘ᴗ(ᰴ)ᢏ⾡ᐊ(⦅)㸪
͆⸛ᰁࡵࡢṔྐ࡜⛉Ꮫ͇㸪
(1992)㸪 ⳹ᡣ㸬
[5] ᐑ ෆ ᗇ 㸸 ṇ ಴ 㝔 ᚚ ≀ ᳨ ⣴ 㸪 http://shosoin.
kunaicho.go.jp/jaJP/Treasure?id=0000014723[6]ྜྷᒸᖾ㞝㸪͆᪥ᮏேࡢឡࡋࡓⰍ”㸪᪂₻㑅᭩㸪㸦2008㸧㸪᪂₻♫㸬[7]ᅜ఍ᅗ᭩㤋ࢹ࢕ࢪࢱࣝࢥࣞࢡࢩࣙࣥ㸸ḷᕝᗈ㔜ᮾᾏ㐨஬ᣠཧḟ ᡞሯ࣭ඖ⏫ู㐨㸪http://dl.ndl.go.jp/info:ndljp/pid/1309894

ཧ⪃ᩥ⊩[1] ྜྷᒸᖖ㞝㸪͆ኳ↛ᰁᩱࡢ◊✲㸪⌮ㄽ࡜ᐇ㝿ᰁⰍἲ͇㸪(1974), ගᮧ᥎ྂ᭩㝔㸬[2] J. C. Splitstoser, et al., “Early pre-Hispanic use ofindigo blue in Peru”, Science Advances, (2016), 2,

ఏ⇕ 2020 ᖺ 1 ᭶- 45 -[8] 㟷ᮌṇ᫂㸪͆ኳ↛ᰁᩱࡢ⛉Ꮫ͇㸪(2019)㸪᪥หᕤᴗ᪂⪺♫㸬[9]୕ᮌ⏘ᴗ㸦⦅㸧㸪͆ฟ⸛㘓͇㸪(1955)㸪୕ᮌ⏘ᴗ(ᰴ)㸬
[10]୕ᮌᩥᗜ㸦⦅)㸪͆ኳ༙⸛Ⰽ͇㸪(1974㸧୕ᮌ⏘ᴗ(ᰴ)㸬
[11]᪂ᒃ〇⸛ᡤ㸪͆㜿Ἴ⸛ࢆࡘࡃࡿ㸪⸛ᖌ ᪂ᒃಟࡢᢏ⾡͇㸦ࣅࢹ࢜㸧㸪https://nii-seiaisyo.jimdo.com/࣮࣒࣍
/video/[12]㧗ཎ㸪⏣㎶㸪㓴㓝Ꮫ఍㞧ㄅ㸪38-6, p.293, p.297,
38-7, p.329, 40-2, p.77.
[13]኱ᓥ㸪᪂ᒃ㸪ᮏከ㸪බ㛤≉チබሗ(A)㸪࢖ࣥࢪࢦ㑏ඖ㓝⣲ཬࡧࡑࡢ〇㐀ἲ㸪ฟ㢪␒ྕ 2005035889㸪
(2006㸧㸬
[14]‫ ‮‬ᮏ ໏ 㸪 ⛉ ◊ ㈝ ◊ ✲ ᡂ ᯝ ሗ ࿌ ᭩ 㸪 ㄢ 㢟 ␒ ྕ23570128, (2015)㸬
[15]᪥ୗ⏣⸛ᰁࡵᕤᡣ ┈Ꮚ⏫ほග༠఍㸪
http://www.mashiko-kankou.org/shop/?shop=00493[16]㔝⏣㸪᪂㇂㸪᭶หࠕᰁ⧊Șࠖ㸪No.193㸪(1997)㸪
pp. 18-19, ᰁ⧊࡜⏕ά♫㸬[17]࿴Ⰽ኱㎡඾㸪https://www.colordic.org/w[18]࣮࢝ࣛࢧ࢖ࢺ.com㸪https://www.color-site.com/[19]ࣜࣥࢲࣈࣛ࢖ࢺࣥ㸪Ỉࡢᩥ໬ 55 ྕ㸪(2017)㸪
pp.28-31㸪࣑ࢶ࢝ࣥỈࡢᩥ໬ࢭࣥࢱ࣮㸬[20]ᕝே⨾ὒᏊࡽ㸪Ꮫ᣺, ⧄⥔࣭㧗ศᏊᶵ⬟ຍᕤ➨120 ጤဨ఍ᖺḟሗ࿌㸪Vol.53, pp.28-31, (2002).

J. HTSJ, Vol. 59, No. 246

࢚ࢹࣗࢣ࣮ࢩࣙࣥ Qࢽ࣮ࣗࢺࣥࡢ෭༷ἲ๎㸦ࡑࡢ㸱㸧㸫ᙉไᑐὶᐇ㦂㸫
Newton’s Law of Cooling, Part 3,
Experiment on Forced Convectionᅭᒣ 㔜┤㸦ඵᡞ㧗ᑓ㸧, Ᏺ㇂ ಟ୍㸦ᮾ໭኱Ꮫ㸧
Shigenao MARUYAMA (INT, Hachinohe College), Syuichi MORIYA (Tohoku University) e-mail: maruyama-o@hachinohe-ct.ac.jp㸯㸬ࡣࡌࡵ࡟
࢔࢖ࢨࢵࢡ࣭ࢽ࣮ࣗࢺࣥ㸦1642-1727㸧ࡢ෭༷ἲ๎࡟ࡘ࠸࡚ࡢㄽᩥࠕScala graduum Caloris.㸦A Scale of
the Degree of Heat,ᗘࡢᑻᗘ㸧ࠖ[1][2]࡟ࡘ࠸࡚㸪๓ሗ㸦ࡑࡢ 1㸧[3]࡛ࡣ㸪㧗 ≀యࡢ ᗘィ ࡟ࡘ࠸࡚㆟ㄽࡋࡲࡋࡓ㸬๓ሗ㸦ࡑࡢ 2㸧[4]࡛ࡣ㸪ỈࡢἛⅬ௨ୗࡢ ᗘ࡟ࡘ࠸࡚㸪ࢽ࣮ࣗࢺࣥ ᗘࡢ⢭ᗘࡸ㸪ᙜ᫬ࡢ࢖ࢠࣜࢫࡢẼ ࡟ࡘ࠸࡚㆟ㄽࡋࡲࡋࡓ㸬ఏ⇕ᕤᏛࡢᩍ⛉᭩࡛㸪ᑐὶ⇕ఏ㐩ࡢᇶ♏ᘧ࡜ࡋ࡚౑ࢃࢀ࡚࠸ࡿࢽ࣮ࣗࢺࣥࡢ෭༷ἲ๎ࡣ㸪⇕ὶ᮰ q 㸪ὶయ࡜≀యࡢ ᗘᕪ T  Tf 㸪⇕ఏ㐩⋡ h ࡜ࡋࡓ࡜ࡁ㸪qh(T  Tf )(1)

࡛グ㏙ࡉࢀ࡚࠸ࡲࡍ㸬ࢽ࣮ࣗࢺࣥࡢㄽᩥ[1]࡛ࡣ㸪≀యࡢ ᗘィ ࡀ୰ᚰ࡛㸪ᘧ(1)ࡣㄽᩥ୰࡟ࡣฟ࡚
ࡁࡲࡏࢇ㸬ࢽ࣮ࣗࢺࣥࡣ㸪≀యࡀ෭༷ࡍࡿ㏿ࡉࡣ≀య࡜࿘ᅖࡢ✵Ẽ ᗘࡢᕪ࡟ẚ౛ࡍࡿ࡜ࡋࡲࡋࡓ㸬ࡲࡓ㸪≀యࡣ㢼ࡀ྿࠸࡚࠸ࡿ≧ែ࡛෭ࡸࡋࡓ࡜࠸࠺グ㏙ࡀ࠶ࡾࡲࡍ㸬ࡇࡢ 2 ࡘࡢᩥ❶ࡀࠕࢽ࣮ࣗࢺࣥࡢ෭༷ἲ๎ࠖ
ࡢ㉳※࡜⪃࠼ࡽࢀࡲࡍ㸬⚾ࡓࡕࡣ㸪ࢽ࣮ࣗࢺࣥࡢㄽᩥࢆᙉไᑐὶ⇕ఏ㐩ࡢࡼࡾ࡝ࡇࢁ࡜ࡋ࡚࠸ࡲࡍࡀ㸪ㄽᩥ࡛ࡣ㢼ࡢ㏿ᗘࡣ᫂♧ࡉࢀ࡚࠸ࡲࡏࢇ㸬ᮏሗ࡛ࡣ㸪ࢽ࣮ࣗࢺࣥࡀࡇࡢᐇ
㦂ࢆࡋࡓ࡜ࡁ㸪࡝ࡢᵝ࡞㢼ࡀ྿࠸࡚࠸ࡓࡢ࠿ࢆゎ᫂ࡍࡿࡓࡵ࡟㸪㢼Ὕᐇ㦂ࢆ⾜࠸ࡲࡋࡓ㸬ࡑࡢ⤖ᯝ࠿ࡽ㸪ࢽ࣮ࣗࢺࣥࡢᐇ㦂ࢆ෌⌧ࡍࡿࡇ࡜ࢆヨࡳࡲࡋࡓ㸬㸰㸬ࢽ࣮ࣗࢺࣥࡢᐇ㦂⤖ᯝࢽ࣮ࣗࢺࣥࡣ⊂⮬࡟ ᗘィࢆసࡾⰍࠎ࡞⌧㇟ࡢᗘࢆィ ࡋࡲࡋࡓ㸬ప ࡢ ᗘィ ࡣ๓ሗ㸦ࡑࡢ2㸧[4]࡟㸪㧗 ࡢ⌧㇟ࡣ๓ሗ㸦ࡑࡢ 1㸧[3]࡟グ㍕ࡋ࡚࠸ࡲࡍ㸬ࡑࢀࡽࢆ⧳ࡵࡓࡶࡢࢆᮏሗࡢ᭱ᚋ࡟グࡋ࡚࠸ࡿ⾲ 1 ࡟♧ࡋࡲࡍ㸬⾲࡟ࡣ㸪ࢽ࣮ࣗࢺࣥࡢㄽᩥ

ᅗ 1 ➼ẚᩘิ ᗘ㸦⾲ 1㸧ࢆ↓ḟඖ᫬㛫࡛⾲ࡋࡓࢽ࣮ࣗࢺࣥࡢᐇ㦂⤖ᯝ㸬ᅗ୰ࡢ␒ྕࡣ⾲ 1 ࡢࢹ࣮ࢱ␒ྕࢆ♧ࡋࡲࡍ㸬ఏ⇕ 2020 ᖺ 1 ᭶- 46 -J. HTSJ, Vol. 59, No. 246

࢚ࢹࣗࢣ࣮ࢩࣙࣥ Q

Tf୰ࡢ⾲࡛♧ࡉࢀࡓ್࡟ຍ࠼࡚㸪ᩥ❶࡛グ㏙ࡉࢀࡓᗘࡶグ㍕ࡋ࡚࠸ࡲࡍ㸬T ' T '1  ࢽ࣮ࣗࢺࣥࡣ㸪㔜ࡉ 4.25 lb ࡢཌ࠸ᯈ≧ࡢ㕲ሢࢆྎᡤࡢࢥ࡛ࣥࣟ⇞࠼࡚࠸ࡿ▼Ⅳࡢ୰࡟ᢞධࡋ㉥ࡃຍ⇕ࡋࡲࡋࡓ㸬ࡑࡢ㉥⇕ࡋࡓ㕲ሢࢆྲྀࡾฟࡋ࡚㸪෭ࡓ࠸ሙᡤ࡟⨨ࡁࡲࡋࡓ㸬㕲ሢࡢୖ࡟ࡣ✀ࠎࡢ㔠ᒓࡸྜ㔠ࡢ⢏ࢆ⨨ࡁ㸪ࡑࢀࡀจᅛࡍࡿ᫬㛫ࢆ ᐃࡋࡲࡋࡓ[2]㸬ࡇࡢࡼ࠺࡟ࡋ࡚ ᐃࡋࡓ ᗘࢆ⾲ 1 ࡟♧ࡋ࡚࠸ࡲࡍ㸬 ࢽ࣮ࣗࢺࣥࡣ 2 ࡘࡢ ᗘ⾲グࢆ⏝࠸࡚࠸ࡲࡍ㸬୍ࡘࡣ㸪 T (N) ࡛グ㍕ࡍࡿ㏻ᖖࡢ ᗘ(Equal part ofheat)[2]࡛㸪ᘧ(2)࡛⾲グࡋࡲࡍ[4]㸬

T (Υ) T (N)×100/34(2)ࡶ࠺୍ࡘࡣᑐᩘ ᗘ࡟┦ᙜࡍࡿ➼ẚᩘิ ᗘ(degree of heat in geometrical progression)[2]࡛㸪ࢽ࣮ࣗࢺࣥ ᗘࢆ T (N) ࡜ࡋ࡚ḟᘧ࡛ᐃ⩏ࡋࡲࡍ㸬T'

log 2 (T /12)  1(3)

⾲ 1 ୰࡟ࡣ㸪ࢽ࣮ࣗࢺࣥ ᗘ㸪ࢭࣝࢩ࢘ࢫ ᗘ㸪➼ẚᩘิ ᗘࢆ♧ࡋ࡚࠸ࡲࡍ㸬ࡉࡽ࡟㸪Grigull ࡀ᥎ᐃࡋࡓ ᗘ[5]ࡶ♧ࡋ࡚࠸ࡲࡍ㸬Grigull ࡢ ᗘࡣ㸪㧗 㒊ศ࡛ࡣ෬㔠Ꮫⓗ࡟᥎ᐃࡋࡓ ᗘ࡛࠶ࡾ㸪ࢽ࣮ࣗࢺࣥࡢ ᗘࡼࡾ㧗ࡃ࡞ࡗ࡚࠸ࡲࡍ㸬 ᅗ 1 ࡣ㸪⾲ 1 ࡢ್ࢆ➼ẚᩘิ ᗘ࡛⾲ࡋ࡚࠸ࡲࡍ㸬ࢽ࣮ࣗࢺࣥࡢㄽᩥ࡛ࡣ෭༷᫬㛫ࡀグ㍕ࡉࢀ࡚࠸࡞
࠸ࡢ࡛㸪ᅗ 1 ࡣ⾲ 1 ࡢ ᗘࢆᐇ㦂㛤ጞ࠿ࡽయ ࡟┦
ᙜࡍࡿ 12 N ࡟࡞ࡿࡲ࡛ࡢ᫬㛫࡛↓ḟඖ໬ࡋ࡚࠸ࡲࡍ㸬 ࢽ࣮ࣗࢺࣥࡢᐇ㦂࡛ࡣ㸪㕲ሢࡢ኱ࡁࡉ࡜㸪➼౯ᖹᆒ⇕ఏ㐩⋡ h ࠿ࡽ᥎ᐃࡉࢀࡿࣅ࢜ᩘࡣ 0.005㹼
0.011 ࡜ᑠࡉ࠸ࡢ࡛㸪㞟୰⇕ᐜ㔞⣔ࡀ㐺⏝࡛ࡁ࡚෭༷᭤⥺ࡣḟᘧ࡛⾲ࡉࢀࡲࡍ㸬

c UV

dT
dt

 hS (T  Tf )ln(T1  Tf )  ln(T  Tf )ఏ⇕ 2020 ᖺ 1 ᭶hStc UV ln 2(6)࡜࡞ࡾࡲࡍ㸬ࡘࡲࡾ㸪➼ẚᩘิ ᗘ T ' ࢆ᫬㛫 t ࡛⾲ࡍ࡜㸪ᅗ 1 ࡟♧ࡍࡼ࠺࡟┤⥺࡜࡞ࡾ㸪๓ሗ㸦ࡑࡢ
㸯㸧[3]࡛♧ࡋࡓࡼ࠺࡟㸪 ᗘィ࡛ ࢀ࡞࠸ ᗘࢆ᥎ᐃࡍࡿࡇ࡜ࡀ࡛ࡁࡿࡢ࡛ࡍ㸬ࡑࡇࡀ㸪ࢽ࣮ࣗࢺࣥㄽᩥࡢ㔜せ࡞࡜ࡇࢁ࡛࠶ࡾ㸪ࢽ࣮ࣗࢺࣥࡢ෭༷ἲ๎
ࡣࡑࢀࢆࢧ࣏࣮ࢺࡍࡿ௬ᐃ࡟ࡍࡂ࡞࠸ࡢ࡛ࡍ㸬 ࡓࡔࡋ㸪㞟୰⇕ᐜ㔞⣔ࢆ཯ᫎࡉࡏࡿࡓࡵ࡟ࡣ㸪ᘧ(3)ࡢ ᗘࡣ㸪࿘ᅖ✵Ẽ࡜ࡢ ᗘᕪ࡛࠶ࡿ࡭ࡁ࡛ࡍ㸬ࢽ࣮ࣗࢺࣥࡀᐇ㦂ࡋࡓ࡜ࡁࡢ⎔ቃ ᗘࡣ 2 N(5.9Υ)࡜᥎ᐃࡉࢀ [6]㸪ࢽ࣮ࣗࢺࣥࡀ┠ᣦࡋࡓ㧗 ≀యࡢᗘࡢ᥎ᐃ࡟ࡣ⎔ቃ ᗘࢆ 0 N ࡜ࡋ࡚ࡶ኱ᕪ࠶ࡾ
ࡲࡏࢇ࡛ࡋࡓ㸬 ๓㏙ࡋࡓࡼ࠺࡟㸪ࢽ࣮ࣗࢺࣥࡢㄽᩥ࡛ࡣ㸪ᐇ㦂᫬࡟㢼ࡀ྿࠸࡚࠸ࡓ࡜࠸࠺グ㏙ࡣ࠶ࡾࡲࡍࡀ㸪ࡑࡢ㢼ࡢᙉࡉ࡟ࡘ࠸࡚ࡣゝཬࡋ࡚࠸ࡲࡏࢇ㸬≀యࡢ෭༷㏿ᗘࡣ㸪ࡩࡃᑕఏ⇕ࡶ⪃៖ࡋࡓ➼౯⇕ఏ㐩⋡࡟౫Ꮡࡍࡿࡢ࡛㸪෭༷᫬㛫ࡀศ࠿ࡽ࡞࠸࡜㢼㏿ࡢ᥎ᐃࡀ࡛ࡁ
ࡲࡏࢇ㸬Ruffner ࡣ෭༷᫬㛫ࢆ 60 ศ࡜௬ᐃࡋ [7]㸪Grigull ࡣ 77 ศ࡜᥎ᐃࡋࡲࡋࡓ[8]㸬࡝ࡕࡽࡶ᫂☜࡞᰿ᣐࡣ࠶ࡾࡲࡏࢇ㸬ࢽ࣮ࣗࢺࣥࡣࡇࡢᐇ㦂ࡢ௚࡟ࡶ㸪㕲ሢࡢ෭༷ᐇ㦂ࢆ⾜ࡗ࡚࠸ࡲࡍ㸬ࡑࡢ᫬ 100N ࠿ࡽ 12N ࡟෭༷ࡍࡿࡲ࡛ࡢ᫬㛫ࡣ 132 ศ࡛ࡋࡓ[6]㸬ࡋ࠿ࡋ㸪ࡑࡢᐇ㦂ࡀࡇࡢᐇ㦂[1]࡜ྠࡌ㢼㏿ୗ࡛⾜ࢃࢀࡓ࡜࠸࠺ドᣐࡣ࠶ࡾࡲࡏࢇ㸬 ࡑࡇ࡛㸪ࢽ࣮ࣗࢺࣥࡢᐇ㦂ࢆ෌⌧ࡍࡿࡓࡵ࡟㸪⡆᫆㢼Ὕࢆ〇సࡋ㸪㕲ሢࡢ෭༷ᐇ㦂ࢆ⾜࠸ࡲࡋࡓ㸬㸱㸬ᐇ㦂⿦⨨࠾ࡼࡧᐇ㦂᪉ἲ ⡆᫆㢼Ὕࡢ〇స ࢽ࣮ࣗࢺࣥࡢᐇ㦂ࢆ෌⌧ࡍࡿࡓࡵ࡟྿ࡁฟࡋᆺࡢ⡆᫆㢼Ὕࢆ〇సࡋࡲࡋࡓ㸬ᅗ
2 ࡣ㸪ࡑࡢ⡆᫆㢼Ὕ࡜ᐇ㦂⿦⨨ࡢᴫ␎ࢆ♧ࡋ࡚࠸ࡲࡍ㸬㢼Ὕࡣタ⨨ࢫ࣮࣌ࢫࢆᑠࡉࡃࡍࡿࡓࡵ࡟㸪㐲ᚰࣇ࢓ࣥ࠿ࡽᨺฟࡉࢀࡓ✵Ẽࢆ L Ꮠᆺ࡟೫ྥࡋ࡚྿
ࡁฟࡋࣀࢬࣝ࠿ࡽᄇฟࡉࡏࡲࡋࡓ㸬L Ꮠᆺ㢼㊰࡟ࡣ࢔࣑ࣝ〇ࣁࢽ࣒࢝ࢆධࢀ࡚ᩚὶࡋ㸪ゅ㒊࡟ࡣ┤ᚄ
120mm ࡢࣅࢽ࣮ࣝࣃ࢖ࣉࢆษ᩿ࡋࡓ෇ᘼ⩼࡛ᵓᡂࡉࢀࡿ೫ὶᯈࢆタ⨨ࡋࡲࡋࡓ㸬㢼㊰㒊ࡢ᩿㠃✚ࡣ
450450 mm㸪ࣀࢬࣝฟཱྀ᩿㠃✚ࡣ 200200 mm
࡛ࡋࡓ㸬

(4)

ࡇࡇ࡛㸪 c ࡣ㕲ሢࡢẚ⇕㸪 U ᐦᗘ㸪 V య✚㸪 S ᗏ㠃ࢆ㝖࠸ࡓ⾲㠃✚㸪t ᫬㛫࡛ࡍ㸬ึᮇ ᗘࡀ T1 ࡛㸪ᑐὶ⇕ఏ㐩⋡࡜ࡩࡃᑕ⇕ఏ㐩⋡ࢆྜࢃࡏࡓ➼౯ᖹᆒ⇕ఏ㐩⋡ࡀ≀య ᗘ࡟ࡼࡽࡎ୍ᐃࡢ᫬㸪ᘧ(4)ࡣ
ḟᘧ࡛⾲ࡉࢀࡲࡍ㸬

hS
t
c UV

0 ࡜ࡋ࡚㸪ᘧ(2)ࢆᘧ(5)࡟௦ධࡍࡿ࡜㸪(5)- 47 -J. HTSJ, Vol. 59, No. 246

࢚ࢹࣗࢣ࣮ࢩࣙࣥ Q

ࢀࡲࡍ㸬

H

 ࡑࡇ࡛㸪ᅗ 2 ࡟♧ࡍࡼ࠺࡟㸪ᐇ㦂୰ࡣᨺᑕ⋡ H ࢆ
1 ࡟タᐃࡋࡓ㉥እ⥺࣓࢝ࣛࢆタ⨨ࡋ࡚ᨺᑕ⋡ࡢኚ໬ࢆࣔࢽࢱ࣮ࡋࡲࡋࡓ㸬㉥እ⥺࣓࢝ࣛࡢ ᐃ ᗘࢆTIR (K) ࡜ࡍࡿ࡜㸪≀య⾲㠃ࡢᨺᑕ⋡ࡣḟᘧ࡛⾲ࡉ

(7)㉥እ⥺࣓࢝ࣛࡢ ᐃ࡟ࡼࡿ࡜㸪㢼Ὕᐇ㦂୰ࡢ⾲㠃ᗘศᕸࡣ㗪㕲ᯈゅࡢ୍㒊௨እࡣ࡯ࡰ୍ᵝ࡛࠶ࡿࡇ࡜ࡀ☜ㄆࡉࢀࡲࡋࡓ㸬 ᐇ㦂᪉ἲ ኱ࡁࡉ 10310727 mm㸦⣙ 44
1 inch㸧㸪㉁㔞 1.93 kg㸦4.25 lb㸧ࡢ㗪㕲ᯈࢆタᐃ
ᗘ 800Υࡢຍ⇕⅔࡟ධࢀຍ⇕ࡋࡲࡋࡓ㸬 㢼㏿ࢆタᐃ㏿ᗘ࡟ㄪᩚࡋࡓ㢼Ὕࡢ ᐃ㒊࡟ࢥ࣮ࣔࣥ࣌ࣂࣞࣥ࢞ࢆᩜࡁ㸪ࡑࡢୖ࡟㗪㕲ᯈࢆ⨨࠸࡚㸪㗪㕲୰ኸ࡟タ⨨ࡉࢀࡓ┤ᚄ 1.5mm ࡢ K ᆺ⇕㟁ᑐ࡟ࡼࡾ෭༷ ᗘࢆ ᐃࡋࡲࡋࡓ㸬ࡑࡢ᫬㸪㗪㕲ᯈୖ㒊࡟タ⨨ࡉࢀࡓ㉥እ⥺࣓࡛࢝ࣛ⾲㠃 ᗘࢆࣔࢽࢱ࣮
ࡋ࡚࠸ࡲࡍ㸬 㗪㕲ᯈࡢࣅ࢜ᩘࡀᑠࡉ࠸ࡢ࡛㸪ෆ㒊࡟タ⨨ࡉࢀࡓ⇕㟁ᑐࡢ ᗘࡣ㸪⾲㠃 ᗘ࡟㏆࠸್࡜᥎ᐃࡉࢀࡲࡍ㸬ᅗ 2 ⡆᫆㢼Ὕ࡟ࡼࡿᐇ㦂⿦⨨ ィ 㒊࡟࠾ࡅࡿ㢼㏿ศᕸࡣᶓ᪉ྥ 2㸣㸪⦪᪉ྥ
4㸣࡛࠶ࡾ㸪ࣀࢬࣝ୰ኸ㏆ഐ࡛ࡣ୍ᐃ࡛ࡋࡓ㸬ࣀࢬࣝ୰ኸ㒊ࡢ ᐃ㒊࡛ࡢὶࢀࡢ஘ࢀᙉࡉࡣ 1㹼2㸣࡛ࡋࡓ㸬ᮏ㢼Ὕࡣ㐲ᚰࣇ࢓ࣥࡢᅇ㌿ᩘࢆ࢖ࣥࣂ࣮ࢱ࡛
ไᚚࡍࡿࡇ࡜࡟ࡼࡾ㸪2㹼25 m/s ࡢ㢼㏿ࢆᚓࡿࡇ࡜
ࡀ࡛ࡁࡲࡋࡓ㸬 ⾲㠃ᨺᑕ⋡ࡢ ᐃ 㧗 ≀యࡢఏ⇕࡟ࡣࡩࡃᑕࡀ኱ࡁࡃᐤ୚ࡋࡲࡍ㸬㉥⇕ࡋࡓ㕲ሢࢆྲྀࡾฟࡋࡓ
┤ᚋࡣ㸪ࡩࡃᑕఏ⇕㔞ࡣᑐὶ⇕ఏ㐩㔞࡟ẚ࡭࡚ 50ಸ௨ୖ࡜࡞ࡾࡲࡍ㸬(TIR4  Tf4 ) / (T 4  Tf4 )㸲㸬⤖ᯝ࡜⪃ᐹᅗ 3 ࡣ㸪㢼Ὕᐇ㦂࡜ࢽ࣮ࣗࢺࣥࡢᐇ㦂࡟ࡼࡿ㕲ሢ ᗘࢆᑐᩘ ᗘ┠┒ࡾ࡛♧ࡋ࡚࠸ࡲࡍ㸬⾲ 1 ࡟♧ࡍࢽ࣮ࣗࢺࣥㄽᩥࡢᐇ㦂ࡣ㸪᫬㛫ࡀᥖ㍕ࡉࢀ࡚࠸ࡿࢽ࣮ࣗࢺࣥࡢูᐇ㦂[6]࡛య ࡜࡞ࡗࡓ᫬㛫
㸦132 ศ㸧࡜࡞ࡿࡼ࠺࡟⾲♧ࡋࡲࡋࡓ㸬ᅗ୰࡟ࡣ㸪ᮏሗ࡛స〇ࡋࡓ⡆᫆㢼Ὕࡢ ᐃ㒊࡟ᅗ 3 㢼Ὕᐇ㦂࡛ࢽ࣮ࣗࢺࣥࡢᐇ㦂ࢆ෌⌧ࡋࡓᐇ㦂್࡜᥎ᐃᘧࡢẚ㍑㸪࠾ࡼࡧ㸪ࢽ࣮ࣗࢺࣥࡢᐇ㦂ࢹ࣮ࢱࢆ෌⌧ࡍࡿ㢼㏿ࡢ᥎ᐃఏ⇕ 2020 ᖺ 1 ᭶- 48 -J. HTSJ, Vol. 59, No. 246

࢚ࢹࣗࢣ࣮ࢩࣙࣥ Qຍ⇕ࡋࡓ㕲ሢࢆࣞࣥ࢞ୖ࡟⨨࠸ࡓሙྜࡢᐇ㦂್ࢆ♧ࡋ࡚࠸ࡲࡍ㸬ᐇ㦂ࢹ࣮ࢱࡣ 1 ⛊ࡈ࡜࡟ྲྀᚓࡋ㸪㕲ሢ ᗘࡀ✵Ẽὶ ᗘ࡜࡯ࡰ୍⮴ࡍࡿࡲ࡛ᐇ㦂ࢆ⥅⥆ࡋࡲࡋࡓ㸬㕲ሢࡢ෭༷ ᗘࡣḟᘧ࡛⾲ࡉࢀࡲࡍ㸬

c UV

dT
dt

 S{hc (T  Tf )  H (T 4  Tf4 )} (8)1 ㎶ D ࡢṇ᪉ᙧ᩿㠃ゅᰕࡢᑐὶᖹᆒ⇕ఏ㐩⋡ hcࡢ᥎ᐃࡣ㸪Hilpert ࡢ⤒㦂ᘧ[9]Nu D

CReDm Pr 1/ 3 ,hc D / kࡇࡇ࡛ C

0.102, m

0.675

(9)

ࢆ⏝࠸ࡲࡋࡓ㸬ࡓࡔࡋ㸪ᯈ≧㕲ሢࡣゅᰕ࡜ࡣᙧ≧ࡀ␗࡞ࡿࡢ࡛㸪D ࢆ㕲ሢࡢỈຊ┤ᚄ࡜ࡋ㸪ᐃᩘ C ࢆㄪᩚࡋ࡚ᐇ㦂್࡟ྜࢃࡏࡓ⤖ᯝ㸪ᘧ(9)ࡢ C ࢆ 0.26
࡜ࡍࡿࡇ࡜࡛㸪ᐇ㦂್࡜Ⰻࡃ୍⮴ࡋࡲࡋࡓ㸬 㕲ሢࡢᨺᑕ⋡Ȝࡣ㸪㉥እ⥺࣓࢝ࣛ࠿ࡽᘧ(7)࡛ồࡵ㸪100Υ㹼500Υࡢࢹ࣮ࢱࢆᖹᆒࡋ࡚౑⏝ࡋࡲࡋࡓ㸬 ᅗ 3 ࡟ࡣྛ㢼㏿ࡢ㢼Ὕᐇ㦂࡜ᘧ(9)ࡢ᥎ᐃ್ࢆ♧ࡋ࡚࠸ࡲࡍࡀⰋࡃ୍⮴ࡋ࡚࠸ࡿࡇ࡜ࡀࢃ࠿ࡾࡲࡍ㸬 ḟ࡟㸪ࡇࡢᐇ㦂ᘧࢆ౑ࡗ࡚㸪ࢽ࣮ࣗࢺࣥㄽᩥࡢᐇ
㦂⤖ᯝࢆᶍᨃࡍࡿ㢼㏿ࢆ᥎ᐃࡋࡲࡋࡓ㸬ึᮇ ᗘࡣ
Grigull ࡢ᥎ᐃ ᗘ࠿ࡽጞࡲࡾ㸪ࢽ࣮ࣗࢺࣥࡢᐇ㦂ࡢ᮲௳[6]࡜⪃࠼ࡽࢀࡿẼ 5.9Υࡢ⎔ቃୗ࡛ࡢ㕲ሢࡢ ᗘపୗࢆ᥎ᐃࡋࡲࡋࡓ㸬ࡇࡢ᫬㸪ᨺᑕ⋡ࡣᐇ㦂ࢹ࣮ࢱ࠿ࡽ 0.75 ࡜タᐃࡋࡲࡋࡓ㸬 ࡶࡋ㸪㕲ሢࡀయ 㸦12 N㸧ࡲ࡛㸪෭༷ࡍࡿࡢ࡟
132 ศࢆせࡍࡿሙྜ㸪㢼㏿ࡣ 0.7 m/s ࡜࡞ࡾࡲࡍ㸬ࡲࡓ㸪Ruffner[7]ࡀ௬ᐃࡋࡓࡼ࠺࡟ 60 ศ࡛෭༷ࡍࡿ
࡜௬ᐃࡍࡿ࡜㸪ࡑࡢ᫬ࡢ㢼㏿ࡣ 5.0 m/s ࡜᥎ᐃࡉࢀ
ࡲࡍ㸬ࢽ࣮ࣗࢺࣥㄽᩥࡢᐇ㦂ࡣ㸪ࢽ࣮ࣗࢺࣥࡢูᐇ
㦂࡜඲ࡃ␗࡞ࡿ᮲௳࡛⾜ࡗࡓࡇ࡜ࡣ⪃࠼࡟ࡃ࠸ࡢ
࡛㸪వࡾᙉ࠸㢼ࡣ྿࠸࡚࠸࡞࠿ࡗࡓྍ⬟ᛶࡀ⪃࠼ࡽࢀࡲࡍ㸬ࡲࡓ㸪㢼㏿࡟ࡼࡗ࡚෭༷᫬㛫ࡀ␗࡞ࡿࡇ࡜
ࢆணഛᐇ㦂࡛ࡍ࡛࡟▱ࡗ࡚࠸࡚㸪ࢽ࣮ࣗࢺࣥࡢㄽᩥ
[1]࡛ࡣ㸪ᩒ࠼࡚ㄽᩥ࡛ࡣ᫬㛫ࢆ᭩࠿࡞࠿ࡗࡓࡢ࠿
ࡶࡋࢀࡲࡏࢇ㸬 ࡶࡋ㸪㢼㏿ࡀᑠࡉ࠸ሙྜ㸪⮬↛ᑐὶ⇕ఏ㐩ࡣ↓ど࡛ࡁࡲࡏࢇ㸬㢼ࡀ඲ࡃ࡞࠸ሙྜ࡛ࡶྠᵝ࡞෭༷᭤⥺ࢆᚓࡿࡇ࡜ࡀ࡛ࡁࡲࡍ㸬㸳㸬࠾ࢃࡾ࡟
⡆᫆㢼Ὕࢆ〇సࡋ㸪ࢽ࣮ࣗࢺࣥ࡜ྠᵝ࡞ᐇ㦂ࢆ⾜ఏ⇕ 2020 ᖺ 1 ᭶

- 49 -

࠸㸪ࢽ࣮ࣗࢺࣥࡀᐇ㦂ࡋࡓ࡜ࡁࡢ㢼ࡢ㏿ᗘࢆ᥎ᐃࡋ
ࡲࡋࡓ㸬᥎ᐃࡉࢀࡿ㢼㏿ࡣ෭༷᫬㛫࡛␗࡞ࡾࡲࡍࡀ㸪ࢽ࣮ࣗࢺࣥࡢูᐇ㦂࡜ྠࡌ᫬㛫ࢆせࡋࡓሙྜ㸪᥎ᐃ㢼㏿
ࡣ 0.7m/s ࡜࡞ࡾ㸪ࡇࡢ㡿ᇦ࡛ࡣ⮬↛ᑐὶࡀ↓ど࡛ࡁ࡞࠸⠊ᅖ࡜࡞ࡾࡲࡍ㸬ࡲࡓ㸪⮬↛ᑐὶࡢࡳ࡟ࡼࡿ
෭༷ࡀ㉳ࡁ࡚࠸ࡓࡇ࡜ࡶྰᐃ࡛ࡁࡲࡏࢇ㸬ࢽ࣮ࣗࢺࣥࡣ࡞ࡐ㸪㢼ࡀ྿࠸࡚࠸ࡓࡇ࡜ࢆᩒ࠼࡚
グ㏙ࡋࡓࡢ࡛ࡋࡻ࠺࠿㸬ࡲࡓ㸪࡝ࡢࡼ࠺࡟ࡋ࡚㸪➼ẚᩘิ ᗘࢆ⏝࠸ࡿ࡜㧗 ࡀ᥎ᐃ࡛ࡁࡿࡇ࡜ࢆᛮ
࠸ࡘ࠸ࡓࡢ࡛ࡋࡻ࠺࠿㸬➼ẚᩘิ ᗘ࡟ࡘ࠸࡚ࡣ㸪ࢽ࣮ࣗࢺࣥࡢྡⴭࠕࣉࣜࣥࢩࣆ࢔ࠖࡀ㛵ࢃࡗ࡚࠸ࡿ
ྍ⬟ᛶࡀ࠶ࡾࡲࡍ㸬ࡇࢀࡽࡢ␲ၥ࡟ࡘ࠸࡚ࡣ㸪ḟሗ࡛㆟ㄽࡋࡓ࠸࡜ᛮ
࠸ࡲࡍ㸬
ཧ⪃ᩥ⊩
[1] “Scala graduum Caloris (A Scale of the Degrees
of Heat)”, Philosophical Transactions, No. 270, pp.
824-829, (April 1701).
[2] “The Correspondence of Isaac Newton, Volume
IV, 1964-1709”, Edited by J.F. Scott, Cambridge
University Press, PP.357-365, (1967).
[3] ෇ᒣ㔜┤㸪ࢽ࣮ࣗࢺࣥࡢ෭༷ἲ๎㸦ࡑࡢ 1㸧㸪ఏ⇕㸪Vol. 54, No. 229, pp.31-34, (2015).
[4] ᅭᒣ㔜┤㸪Ᏺ㇂ಟ୍㸪ᒸᓥ῟அ௓㸪ࢽ࣮ࣗࢺࣥࡢ෭༷ἲ๎㸦ࡑࡢ 2㸧 ࢽ࣮ࣗࢺࣥࡢ ᗘࢫࢣ࣮ࣝ࡟ࡘ࠸࡚ࡢ⪃ᐹ㸪ఏ⇕㸪Vol. 57, No. 240,
pp.65-69, (2018).
[5] Grigull, U., “Newton’s Temperature Scale and theLaw of Cooling,” Waerme und Stoffuebertrang,
Vol. 18, pp.195-199, (1984).
[6] Simms, D. L., “Newton’s Contribution to the
Science of Heat”, Annals of Science, Vol. 61,
pp.33-77, (2004).
[7] Ruffner, J. A., “Reinterpretation of the Genesis of
Newton’s Law of Cooling,” Archives of History
of Exact Science, Vol. 2, pp. 138-152, (1964).
[8] Grigull, U., Das Newtonshe Abkühlungsgesetz,
Abh. Braunschweig. Wiss. Ges. 29, pp.7-31,(1978).
[9] Incropera, F.P., Dewitt, D.P., Bergman, T.L. and
Lavine, A.S., Fundamentals of Heat and Mass
Transfer, 6th Ed., John Wiley & Sons, pp.426-427,(2007).

J. HTSJ, Vol. 59, No. 246

࢚ࢹࣗࢣ࣮ࢩࣙࣥ Q⾲ 1 ࢽ࣮ࣗࢺࣥ ᗘ࡜ࡑࡢグ㏙㸦␒ྕࡣᚋ࡛௜ࡅࡓࡶࡢ㸪㸨ࡣᩥ❶࡟ࡼࡿ ᗘグ㏙ࢆ♧ࡋࡲࡍ㸬➼ẚᩘิ ᗘ࡟͊ࡀࡘ࠸࡚࠸ࡿࡶࡢࡣ➹⪅ࡢィ⟬್ࢆ♧ࡋ࡚࠸ࡲࡍ㸬
㸧

䝕䞊䝍
␒ྕ

1

⌧㇟䛾グ㏙䛸

ᗘỈ䛜෾䜚ጞ䜑䜛෤䛾Ẽ 䠊 䛣䛾 ᗘ䛿䠈 ᗘィ䜢○䛔䛯㞷䛾୰䛻⨨䛝䠈䛭䜜䛜⁐䛡䜛᫬䛻ṇ☜䛻ィ 䛥䜜䜛䠊

2
3

ᦤẶ
ᗘ
(ႏ)

Grigull
䛾᥎ᐃ
ᗘ
(ႏ䠅

0

0.00

0

0

0.00

䝙䝳䞊䝖䞁
ᗘ
䠄N)

➼ẚᩘ
ิ ᗘ
ᘧ(3)

1

-2.58͊

2.94

4

2-1.58͊

5.88

52-1.58͊

5.88

3-1.00͊

8.82

7

4-0.58͊

11.76

8

4

-0.58͊

11.76

5-0.26͊

14.71

6

0.00͊

17.65

6

9

෤䛾Ẽ

᫓䛸⛅䛾Ẽ

ኟ䛾Ẽ

10
11

7 ᭶䛾᫨㡭䛾Ẽ

6

0.00͊

17.65

12

ᗘィ䛜ேయ䛻᥋ゐ䛧䛶㐩䛩䜛᭱኱ ᗘ䠊 䛣䜜䛿䠈㫽䛾༸䛜Ꮴ໬䛩䜛 ᗘ䛸䜋䜌ྠ䛨䛷䛒䜛䠊

12

1

35.29

13

㢼࿅䛾䛚‫‮‬䛻ᡭ䜢ᾐ䛧䛶䠈⤯䛘䛪ື䛔䛶䛔䜛≧ែ䛷䠈䛛䛺䜚䛾᫬㛫⪏䛘䜛䛣䛸䛜䛷䛝䜛᭱኱ ᗘ䠊 䛣䜜䛿᥇⾑䛧䛯䜀䛛䜚䛾⾑ᾮ䛸䜋䜌ྠ䛨䛷䛒䜛䠊

14.27

1.25

41.97

14

㢼࿅䛻ᡭ䜢ື䛛䛥䛪ᾐ䛧䛶㛗᫬㛫⪏䛘䜛䛣䛸䛜䛷䛝䜛᭱㧗
ᗘ䠊

17

1.5

50.00

15

䛚‫‮‬䛾ୖ䛻ᾋ䛛䜆⁐⼥䝽䝑䜽䝇䛜จᅛ䛧ጞ䜑䛶䛭䛾㏱᫂ᗘ䜢ኻ䛖᫬䛾 ᗘ䠊

20.18

1.75

59.35

16

䝽䝑䜽䝇䛜ᾋ㐟䛧䛶䛔䜛䛚‫‮‬䛜ຍ⇕䛥䜜䠈Ἓ㦐䛫䛪䛻ᾮయ䜢ಖ䛴䛚‫‮‬䛾 ᗘ䠊

24

2

70.59

17

䝽䝑䜽䝇䛜⁐䛡䜛

28.55

2.25

83.97

18*

Ỉ䛿 33 ᗘ䛾 ᗘ䛷Ἓ㦐䛧ጞ䜑䜛䠊

33

2.46͊

97.06

19*
20*
21*
22

ᗘ䛸Ỉ䛜Ἓ㦐䛩䜛

ᗘ䛾୰㛫䛾

ᗘ䠊

㕲䛜 35 䜎䛯䛿 36 ᗘ䛻෭䛘䛯᫬䠈䛚‫‮‬䛜ୖ䛻ⴠ䛱䜛䛸Ἓ㦐䛜㉳䛝䛺䛟䛺䜛䠊 㕲䛾 ᗘ䛜 37 ᗘ䛷䠈෭䛯䛔Ỉ䛜⁲䛳䛯ሙྜ䜒ྠ䛨䛷䛒䜛䠊

35

2.54͊

102.9436

2.58͊

105.8837

2.62͊

108.82Ỉ䛜⃭䛧䛟Ἓ㦐䛩䜛 ᗘ䠈䛚䜘䜃䠈㖄 2䠈㘏 3䠈䝡䝇䝬䝇 5 䛾ྜ㔠䛜෭༷᫬䛻ᅛ໬䛩䜛 ᗘ䠊

34

2.5

100.00ఏ⇕ 2020 ᖺ 1 ᭶

- 50 -

37

100

105

J. HTSJ, Vol. 59, No. 246

࢚ࢹࣗࢣ࣮ࢩࣙࣥ Q

23*Ἓ㦐䛩䜛䛚‫‮‬䛿䠈34.5 ᗘ௨ୖ䛻䛿䜋䛸䜣䛹㐩䛧䛺䛔䠊

34.5

2.52͊

101.4724

㖄 1䠈㘏 4䠈䝡䝇䝬䝇 5 䛾ྜ㔠䛜ຍ⇕䛥䜜⼥ゎ䛧䠈ᾮయ䜢ಖ䛴
᭱ప ᗘ䠊

40.36

2.75

118.71135

25*

䛣䛾ྜ㔠䠄㘏 1䠈䝡䝇䝬䝇 1 䛾ྜ㔠䠅䛿෭༷䛩䜛䛸 47 ᗘ䛷จ
ᅛ䛩䜛䠊

47

2.97͊

138.24151

26

㘏 1䠈䝡䝇䝬䝇 1 䛾ྜ㔠䛜⼥ゎ䛩䜛᭱ప

483

141.18151

27

㘏 2䠈䝡䝇䝬䝇 1 䛾ྜ㔠䠈䜎䛯䛿㘏 3䠈㖄 2 䛾ྜ㔠䛜⼥ゎ䛩䜛 ᗘ䠊 䛧䛛䛧䠈㘏 5䠈䝡䝇䝬䝇 2 䛾ྜ㔠䛜෭༷᫬䛻䛣䛾ᗘ䛷ᅛ໬䛩䜛䠊 㖄 1䠈䝡䝇䝬䝇 1 䛾ྜ㔠䜒ྠᵝ䛷䛒䜛䠊

57

3.25

167.65187

28

䝡䝇䝬䝇 1䠈㘏 8 䛾ྜ㔠䛜⼥ゎ䛩䜛᭱ప

68

3.5

200.00218

29*㘏䛿෭༷䛩䜛䛸 70 ᗘ䛷จᅛ䛩䜛䠊

70

3.54

205.88232

30*

㘏䛿 72 ᗘ䛷⼥ゎ䛩䜛䠊

72

3.58

211.76232

31

䝡䝇䝬䝇䛾⼥ゎ ᗘ䠈㖄 4䠈㘏䠍䛾ྜ㔠䛷䜒ྠ䛨䛷䛒䜛䠊䛧䛛䛧䠈⁐䛡䛶䛔䜛㖄 5䠈㘏 1 䛾ྜ㔠䛜෭༷᫬䛻䛣䛾 ᗘ䛷จᅛ
䛩䜛䠊

81

3.75

238.24271

32*

䛭䛧䛶䠈㖄䛿෭༷᫬䛻 95 ᗘ䛷จᅛ䛩䜛䠊

95

3.98͊

279.4133*

㖄䛜⼥ゎ䛩䜛᭱ప
⼥ゎ䛩䜛䠈

96

4

282.35327

34෭༷䛧䛴䛴䛒䜛㧗 䛾≀య䛜䠈ᬯ㜌䛾୰䛷䜎䛳䛯䛟ග䜙䛺䛟䛺䜛 ᗘ䠊䜎䛯䛿䠈㏫䛻䠈⇕䛫䜙䜜䛶䛔䜛ሙྜ䛻䛿䠈ྠᵝ䛾ᬯ㜌䛾୰䛷䠈㠀ᖖ䛻䛛䛩䛛䛻ග䛜▱ぬ䛥䜜䜛䜘䛖䛻䛺䜛ᗘ䠊 䛣䛾 ᗘ䛷䠈㘏 1䠈䜰䞁䝏䝰䞁 1 䛾ྜ㔠䛜⼥ゎ䛧䠈䝡䝇
䝬䝇 7䠈䜰䞁䝏䝰䞁 4 䛾ྜ㔠䛜෭༷᫬䛻จᅛ䛩䜛䠊

114

4.25

335.2942035

㧗 䛻ຍ⇕䛥䜜䛯య䛜ኪ㛫䛻䛿ග䛳䛶ぢ䛘䜛䛜䠈ⷧ䜔䜏䛷䛿䜎䛳䛯䛟┠䛷䛿☜ㄆ䛷䛝䛺䛔 ᗘ䠊䛣䛾 ᗘ䛷䠈䜰䞁䝏䝰䞁 2䠈䝡䝇䝬䝇䠍䛾ྜ㔠䠈䛺䜙䜃䛻䜰䞁䝏䝰䞁䠑䠈㘏䠍䛾ྜ㔠䛜෭༷᫬䛻จᅛ䛩䜛䠊

136

4.5

400.00561

36*䛭䛧䛶䠈䜰䞁䝏䝰䞁 2䠈㖡 1 䛾ྜ㔠䛿 140.5 ᗘ䛷จᅛ䛩䜛䠊

140.5

4.55͊

413.2437*

䜰䞁䝏䝰䞁䛿 146 ᗘ䛷จᅛ䛩䜛䠊

146

4.60͊

429.4138㧗 䛻ຍ⇕䛥䜜䛯≀య䛜ⷧ䜔䜏䛾୰䠈䛴䜎䜚᪥䛾ฟ䛾┤๓䜔᪥䛾ධ䜚䛾┤ᚋ䛻䠈䛿䛳䛝䜚ග䛳䛶ぢ䛘䜛䛜䠈᪥୰䛾ᬕኳ䛾ග䛾୰䛷䛿඲䛟ぢ䛘䛺䛔䛛䠈䜎䛯䛿䛤䛟䛛䛩䛛䛻䛧䛛┠ど䛷䛝䛺䛔 ᗘ䠊

161

4.75͊

473.5339䜅䛔䛤䜢౑䜟䛪䛻℡㟷Ⅳ䛜⇞䛘䜛ᑠ䛥䛺䝁䞁䝻䛾▼Ⅳ䛾ᗘ䠊 䛭䛾䜘䛖䛺ⅆ䛾୰䛷䠈ᙉ䛟㍤䛟㕲䛿ྠ䛨 ᗘ䛷䛒䜛䠊 ᮌ䜢⇞䜔䛧䛯ᑠ䛥䛺䝁䞁䝻䛾ⅆ䛾 ᗘ䛿䜒䛖ᑡ䛧㧗䛟䠈䛴䜎䜚
200 ᗘ䛛 210 ᗘ䛷䛒䜛䠊 ኱つᶍ䛺ⅆ䛾 ᗘ䛿䠈≉䛻䠈䜅䛔䛤䛻䜘䛳䛶䠄⇞↝䛜䠅ಁ㐍䛥䜜䜛ሙྜ䛿䠈᭦䛻㧗 䛻䛺䜛䠊192

5

564.71ఏ⇕ 2020 ᖺ 1 ᭶ᗘ䠊ᗘ䠊ᗘ䠊ຍ⇕䛥䜜䛯㖄䛿 96 䜎䛯䛿 97 ᗘ䛷

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J. HTSJ, Vol. 59, No. 246

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Report on the 7th Asian Symposium on Computational Heat
Transfer and Fluid Flow-2019 (ASCHT2019)
㡲㈡ ୍ᙪ㸪㔠⏣ ᫀஅ㸦኱㜰ᗓ❧኱Ꮫ㸧
Kazuhiko SUGA and Masayuki KANEDA* (Osaka Prefecture University)e-mail: mkaneda@me.osakafu-u.ac.jp㸯㸬఍㆟ᴫせ2019 ᖺ 9 ᭶ 3 ᪥࠿ࡽ 7 ᪥ࡢ 5 ᪥㛫࡟ࢃࡓࡾ㸪ᮾி⌮⛉኱Ꮫⴱ㣭࢟ࣕࣥࣃࢫ㸦ᮾி㒔㸧࡟࡚㸪➨ 7ᅇ࢔ࢪ࢔ᩘ್⇕ὶయࢩ࣏ࣥࢪ࣒࢘ 2019㸦The 7th
Asian Symposium on Computational Heat Transfer
and Fluid Flow-2019, ASCHT2019㸧ࢆ㛤ദ࠸ࡓࡋࡲ
ࡋࡓ㸬ࡈཧຍ࠸ࡓࡔ࠸ࡓⓙᵝ㸪ࡲࡓ㐠Ⴀ࡟ࡈ༠ຊ
࠸ࡓࡔ࠸ࡓ᪉ࠎ࡟ᨵࡵ࡚ᚰࡼࡾᚚ♩⏦ࡋୖࡆࡲࡍ㸬ࡇࡢࢩ࣏ࣥࢪ࣒࢘ࡣ㸪࢔ࢪ࢔ᆅ༊ࡢ⇕ὶయࢩ࣑࣮ࣗࣞࢩࣙࣥ㛵㐃ࡢ᭱᪂ࡢ◊✲Ⓨ⾲࡜◊✲⪅㛫ࡢ஺ὶࢆಁ㐍ࡍࡿࡶࡢ࡜ࡋ࡚㸪2007 ᖺ࡟୰ᅜすᏳ࡛➨ 1 ᅇ┠ࡀ㛤ദࡉࢀ㸪௨᮶ 2 ᖺࡈ࡜࡟࢔ࢪ࢔ྛᆅ
࡛㛤ദࡉࢀ࡚࠸ࡲࡍ㸬2009 ᖺ࣭῭ᕞ㸦㡑ᅜ㸧㸪2011ᖺ࣭ி㒔㸦᪥ᮏ㸧㸪2013 ᖺ࣭㤶 㸦୰ᅜ㸧㸪2015ᖺ࣭㔩ᒣ㸦㡑ᅜ㸧
㸪2017 ᖺ࣭ࢳ࢙ࣥࢼ࢖㸦࢖ࣥࢻ㸧࡟ᘬࡁ⥆ࡁ㸪௒ᅇࡣ᪥ᮏ࡛ࡢ 2 ᗘ┠ࡢ㛤ദ࡛ࡋࡓ㸬㛤ദᆅ࡜ࡋ࡚㸪㒔ᚰ࠿ࡽࡢ࢔ࢡࢭࢫࡶⰋዲ࡞ᮾி
⌮⛉኱Ꮫⴱ㣭࢟ࣕࣥࣃࢫ࡛⾜࠸ࡲࡋࡓ㸬఍㆟㆟㛗࡜ࡋ࡚㡲㈡㸦኱㜰ᗓ❧኱Ꮫ㸧㸪ඹྠ㆟㛗࡜ࡋ࡚
Wen-Quan Tao ᩍᤵ㸦Xi’an Jiaotong Univ., China㸧㸪
Nahmkeon Hur ᩍᤵ㸦Sogang University, Korea㸧ࢆ㏄࠼㸪᪥ᮏఏ⇕Ꮫ఍୺ദᅜ㝿⾜஦࡜ࡋ࡚㐠Ⴀࢆ࠸ࡓࡋࡲࡋࡓ㸬
ᮇ㛫୰㸪2 ௳ࡢࣉࣞࢼࣜ㸪10 ௳ࡢ࣮࢟ࣀ࣮ࢺ࡟
ຍ࠼࡚㸪216 ௳ࡢ୍⯡ㅮ₇ࢆᒎ㛤ࡋࡲࡋࡓ㸬୍⯡Ⓨ⾲ࡣࡍ࡭ཱྀ࡚㢌Ⓨ⾲࡛㸪ࡇࢀࡲ࡛㛤ദࡉࢀ࡚ࡁ
ࡓ୰࡛ࡣ᭱኱つᶍࢆ㄂ࡿேᩘ࡜࡞ࡾࡲࡋࡓ㸬ࡑࡢ
ࡓࡵ 9 ࡘࡢࣃࣛࣞࣝࢭࢵࢩ࡛ࣙࣥᵓᡂࡋ㸪ࡑࡢ୰
࠿ࡽ 9 ௳ࡢⓎ⾲࡟ᑐࡋ࡚ Best Paper Award ࢆᤵ㈹ࡋࡲࡋࡓ㸬௒ᅇࡣ㸪ᾏእ࠿ࡽࡢཧຍ⪅ 185 ྡ㸦12 ࠿ᅜ㸪ᆅᇦ㸧ࢆྵࡴ⥲ཧຍேᩘ 287 ྡࢆ㏄࠼࡚ࡢࢩ࣏ࣥࢪ
࣒࢘࡜࡞ࡾࡲࡋࡓ㸬ࡑࡢ୰࡛Ꮫ⏕ཧຍ⪅ࡣ 138 ྡࢆᩘ࠼㸪ⱝᡭࢆከࡃ㏄࠼࡚ࡢࢩ࣏ࣥࢪ࣒࢘࡜࡞ࡾ
ࡲࡋࡓ㸬㸰㸬ࣉࣟࢢ࣒ࣛ
ᮏࢩ࣏ࣥࢪ࣒࡛࢘ࡣ୍⯡ࢭࢵࢩࣙࣥ࡟ᑐࡋ࡚㸪ィ 14 ࡢࢭࢵࢩࣙࣥࢆ⤌ࡳࡲࡋࡓ㸬ࢭࢵࢩࣙࣥࡢ୺
せ࡞ㄢ㢟ࡣ௨ୗࡢ㏻ࡾ࡛ࡍ㸬࢝ࢵࢥෆࡢᩘᏐࡣⓎ⾲௳ᩘࢆ⾲ࡋ࡚࠸ࡲࡍ㸬
࣭Heat Transfer and Fluid Dynamics (64)࣭Flow and Heat Transfer Control (6)ਦ  $6&+7 ॄ߻ࣺਇ

ఏ⇕ 2020 ᖺ 1 ᭶

- 52 -J. HTSJ, Vol. 59, No. 246

ሗ࿌
࣭Multiphase and Multi-Component Flows (36)࣭Micro/Nano Fluid Dynamics and Heat Transfer (22)࣭Bio-Fluid Dynamics and Heat Transfer (3)࣭Turbulence (21)࣭Reacting Fluid Flows (3)࣭Radiative Heat Transfer (6)࣭Heat Exchangers (20)࣭Industrial Heat Transfer (8)࣭Energy and Environmental Systems (8)࣭Multi-Scale and Multi-Physics Modeling (11)࣭Surrogate Modeling and Optimization (4)࣭Uncertainty Analysis, Parameter Estimation, andInverse Problems (4)⤥ࡢࡓࡵ࡟఍ሙࡢ㝶ᡤ࡟࣌ࢵࢺ࣎ࢺࣝࠕ⌮⛉኱ࡢỈࠖࢆ㓄⨨ࡋࡲࡋࡓ㸬ཧຍ⪅ࡢ஺ὶಁ㐍ࡢࡓࡵ࡟ࡶ㸪୍⯡ㅮ₇఍ሙࢆㅮ⩏Ჷࡢ 3 㝵࡟㞟⣙࡛ࡁࡓࡇ࡜ࡣⰋ࠿ࡗࡓ࡜ᛮ࠸ࡲࡍ㸬3 ᪥┠ࡢኪ࡟఍ሙ࠿ࡽ
㏦㏄ࣂࢫࢆ⏝ពࡋ࡚㸪ᮾிࢹ࢕ࢬࢽ࣮ࢩ࣮࣭࣍ࢸ
࣑ࣝࣛࢥࢫࢱ࡟࡚ Banquet ࢆ㛤ദࡋࡲࡋࡓ㸬఍ሙἙᮧ ὒ ඛ⏕Prof. J. Szmydᅗ 1 Ꮫ఍఍ሙ

ᅗ 2 Plenary session

ึ᪥ࡢ Registration ࡜ Welcome reception ࡛ཧຍ⪅ࢆ࠾㏄࠼ࡋࡲࡋࡓ㸬2 ᪥┠ࡢ Opening ceremony࡛ࡣᯇᮏὒ୍㑻࣭ᮾி⌮⛉኱ᏛᏛ㛗࡟ࡈᣵᣜࢆ㡬ࡁ㸪⥆ࡃ Plenary session ࡛ࡣἙᮧὒ࣭ᮾி⌮⛉኱Ꮫྡ㄃ᩍᤵ㸪Janusz Szmyd࣭AGH University of
Science and Technology ᩍᤵ㸦࣏࣮ࣛࣥࢻ㸧࡟ࡈㅮ
₇࠸ࡓࡔࡁࡲࡋࡓ㸬10 ௳ࡢ࣮࢟ࣀ࣮ࢺࡣ 2 ࡞࠸ࡋ
3 ࡘࡢࣃࣛࣞࣝࢭࢵࢩ࡛ࣙࣥᒎ㛤ࡋࡲࡋࡓ㸬᫨㣗࡟ࡣ఍ሙෆࡢ⏕༠㣗ᇽࡢࢳࢣࢵࢺࢆ㓄ᕸࡋ㸪࣋ࢪࢱࣜ࢔࣓ࣥࢽ࣮ࣗ࡟ࡶᑐᛂࡋࡲࡋࡓ㸬ࢭࢵࢩࣙࣥ
ࡢྜ㛫ࡢࢥ࣮ࣄ࣮ࣈࣞ࢖ࢡ࡛ࡣࢥ࣮ࣄ࣮㸪ࢪ࣮ࣗࢫ࡜ⳫᏊࢆ⏝ពࡋࡲࡋࡓ㸬ࡲࡓ㸪ࡇࡲࡵ࡞Ỉศ⿵ఏ⇕ 2020 ᖺ 1 ᭶

ᅗ 3 Keynote session ࡢᵝᏊ- 53 -J. HTSJ, Vol. 59, No. 246

ሗ࿌
Yi-nan Nie, Lei Chen and Wen-Quan Tao, Study on
Thermal Conductivity of Nafion Molecular Chain
Based on First Principle Calculation
Xing-Jie Ren, Yan-Jun Dai and Wen-Quan Tao,
Numerical Study of Thermal Contact Resistance of
8-Harness Satin Woven Pierced Composites
Yukinori Kametani and Yosuke Hasegawa,
Adjoint-Based Shape Optimization of Heat Transfer
Surfaces in Turbulent Flows with DNS-RANS
Hybrid Approach
Arjun Pradeep, Anil Kumar Sharma, D Ponraju, B K
Nashine and P Selvaraj, Aerosol Penetration in
Submerged Gravel Bed Scrubberࡢ⨾ࡋࡉࡶࡉࡿࡇ࡜࡞ࡀࡽ㸪࠾ࡶ࡚࡞ࡋࡢసἲࢆ
⇍▱ࡋ࡚࠸ࡿ఍ሙ࡞ࡽ࡛ࡣࡢ᥋ᐈࡸฟࡋ≀ࡣ኱ኚዲホ࡛ࡋࡓ㸬ࡍ࡭࡚ࡢཱྀ㢌Ⓨ⾲⤊஢ᚋ࡟㛢఍ᘧࢆ⾜࠸㸪BPA ࡢ⾲ᙲ࡜ḟᅇ㛤ദᅜࡢ࿌▱ࢆ⾜࠸ࡲࡋࡓ㸬㸱㸬ཧຍ⪅
ᮏࢩ࣏ࣥࢪ࣒࢘ࡣ୺࡟࢔ࢪ࢔ྛᅜ࣭ᆅᇦ࠿ࡽࡢ
ᩘ್⇕ὶయ◊✲⪅࡟࠾ኌࡀࡅࢆࡋ࡚࠸ࡲࡍ㸬௒ᅇ㸪᪥ᮏ࠿ࡽࡢཧຍ⪅ 102 ྡ㸪ᾏእ࠿ࡽࡢཧຍ⪅ 185
ྡࢆ㏄࠼ࡲࡋࡓ㸬ᅜ࣭ᆅᇦูࡢཧຍ⪅ࡣ௨ୗࡢ㏻
ࡾ࡛ࡍ㸦㡰୙ྠ㸧㸬᪥ᮏ㸦102㸧㸪୰ᅜ㸦146㸧㸪㡑ᅜ㸦15㸧㸪࢖ࣥࢻ㸦11㸧㸪ྎ‴㸦2㸧㸪ࢱ࢖㸦2㸧㸪࣏࣮ࣛࣥࢻ㸦1㸧
㸪ⱥᅜ㸦1㸧
㸪ࢩ࣏࣮ࣥ࢞ࣝ㸦3㸧
㸪ࣟࢩ࢔㸦2㸧㸪࣮࢜ࢫࢺࣜ࢔㸦1㸧
㸪࢝ࢼࢲ㸦1㸧
㸸ィ 12 ࠿ᅜ࣭ᆅᇦ

㸳㸬ࡉ࠸ࡈ࡟
௒ᅇ㸪2 ᗘ┠ࡢ᪥ᮏ࡛ࡢ㛤ദ࡟࡞ࡾࡲࡋࡓ㸬‽ഛ࠿ࡽ㛤ദࡲ࡛↓஦࡟ࡇࡂࡘࡅࡓࡢࡣ Organizing
Committee ࡢⓙᵝࡢࡈᑾຊࡢ࠾࠿ࡆ࡛ࡍ㸬ࡇࡢሙࢆ೉ࡾ࡚ᚚ♩⏦ࡋୖࡆࡲࡍ㸬㛵す Gr ࡜㛵ᮾ Gr ࡛ࢱࢵࢢࢆ⤌ࢇ࡛㐍ࡵ࡚࠸ࡃࡇ࡜࡛㸪࠾஫࠸ࡢᙺ๭
ศᢸࢆ᫂☜࡟ࡋࡘࡘ㐍ࡵࡲࡋࡓࡀ㸪ⓙᵝࡢࡈ༠ຊ࡞ࡋ࡛ࡣࡇࡢࡼ࠺࡞ᡂຌࢆ཰ࡵࡿࡇ࡜ࡣ࡛ࡁࡲࡏ
ࢇ࡛ࡋࡓ㸬Paper and Program ጤဨ㛗࣭Ⱚཎṇᙪඛ⏕㸦㜰኱㸧㸪
web ࢩࢫࢸ࣒࣭ᕴ࿴ஓඛ⏕㸦ி኱㸧㸪⌧ᆅᐇ⾜ጤဨ
㛗࣭ሯཎ㝯ᘯඛ⏕㸦ᮾி⌮⛉኱㸧࡟ࡣᨵࡵ࡚ᚚ♩⏦ࡋୖࡆࡲࡍ㸬ࡲࡓ㸪⌧ᆅ఍ሙ‽ഛ㸪㐠Ⴀ࡟ᚑ஦ࡋ࡚ࡃࡔࡉࡗࡓᮾி⌮⛉኱Ꮫࡢࢫࢱࢵࣇ㸪Ꮫ⏕ࡢⓙࡉࢇ࡟ࡶᚰࡼࡾ࠾♩ࢆ⏦ࡋୖࡆࡲࡍ㸬ᮏࢩ࣏ࣥࢪ࣒࢘ࢆᐇ᪋ࡍࡿ࡟࠶ࡓࡾ㸪ᮾி⌮⛉኱Ꮫ࡜ࡢඹ
ദ⾜஦࡜ࡉࡏ࡚࠸ࡓࡔࡁࡲࡋࡓ㸬⮬↛ࡀ㇏ᐩ࡛㛤ᨺឤ⁄ࢀࡿⴱ㣭࢟ࣕࣥࣃࢫ࡛ᐇ᪋࡛ࡁࡓࡇ࡜࡟ឤ
ㅰ⏦ࡋୖࡆࡲࡍ㸬࡞ ࠾ ḟ ᅇ ࡢ 㛤 ദ ᆅ ࡟ ࡘ ࠸ ࡚ ࡣ International
Advisory Committee ࡛༠㆟ࡋࡓ⤖ᯝ㸪2021 ᖺ࡟ࢩ࣏࣮ࣥ࢞ࣝᅜ❧኱Ꮫ࡛ࡢ㛤ദࡀỴᐃ࡜࡞ࡾࡲࡋࡓ㸬㛤ദ᫬ᮇࡢヲ⣽ࡣ㏣ࡗ࡚ࡈ㐃⤡࡛ࡁࢀࡤ࡜ᛮ࠸ࡲ
ࡍ㸬

㸲㸬%HVW3DSHU$ZDUGⰪཎṇᙪඛ⏕㸦኱㜰኱Ꮫ㸧࡟ᑂᰝጤဨ㛗ࢆ࠾㢪࠸ࡋ㸪BPA 9 ௳ࢆỴᐃ࠸ࡓࡋࡲࡋࡓ㸬࡞࠾ᑂᰝ࡟
࠶ࡓࡗ࡚ࡣࣛࣥࢲ࣒࡟㑅ฟ࣭౫㢗ࡋࡓཎ✏ᰝㄞ⪅࡞ࡽࡧ࡟ㅮ₇᫬ࡢᗙ㛗࡟㑅ฟࡋ࡚࠸ࡓࡔࡁ㸪ࢭࢵࢩࣙࣥ⤊஢ᚋ࡟ୖ఩⪅ࢆ㑅ฟࡋࡲࡋࡓ㸬ཷ㈹⪅ࡣ
௨ୗࡢ㏻ࡾ࡛ࡍ㸦㡰୙ྠ㸧㸬Yusuke Kuwata, Takuya Sugiyama and Yasuo
Kawaguchi, Scaling of Transitional Rough Wall
Turbulent Flow Over Irregular Rough Surface
Jiang Guo, Shenghong Ju and Junichiro Shiomi,
Spectral-Selective Sky Radiator Designed via
Bayesian Optimization
Kosuke Osawa, Yuki Minamoto, Masayasu Shimura
and Mamoru Tanahashi, Role of Fine Scale Eddy
Cluster on Turbulent Dissipation
Yusi Zhou and Min Chen, Molecular Dynamics
Simulation on Miscible CO2 Enhanced Oil Recovery
in Nanopores
Ayato Takii, Masashi Yamakawa, Shinichi Asao andKyohei Tajiri, Circular Flight Simulation of
Tilt-Rotor Planeఏ⇕ 2020 ᖺ 1 ᭶

- 54 -J. HTSJ, Vol. 59, No. 246

ሗ࿌

ࠕィ

ᢏ⾡ ࠥ

᪥ᮏఏ⇕Ꮫ఍୺ദㅮ⩦఍ᗘ࣭⇕ὶ࣭⇕ఏᑟ⋡ ᐃࡢᇶ♏࡜ᛂ⏝ࠥࠖ㛤ദሗ࿌

Report on the Lecture “Measurement Technology, from Foundation and Application of
Temperature, Heat Flux and Thermal Conductivity Measurement”
௻⏬㒊఍⏘Ꮫ஺ὶጤဨ఍㸸⩚㫽 ோே㸦࣋ࢸࣝ㸧㸪㏆⸨ ⩏ᗈ㸦᪥❧࢔࢝ࢹ࣑࣮㸧㸪す ๛ఛ㸦㊊฼኱Ꮫ㸧
Kimihito HATORI (Bethel), Yoshihiro KONDO (Hitachi Academy) and Koji NISHI (Ashikaga University),
e-mail: k-hatori@btl-hrd.jp࡛ࡣ㸪㜿ᏊᓥࡵࡄࡳẶ㸦⏘ᴗᢏ⾡⥲ྜ◊✲ᡤ㸧ࡼࡾ㸪⇕ὶࢭࣥࢧ࣮ࡢཎ⌮ཬࡧ⇕ὶࢭࣥࢧ࣮ࢆᰯṇࡍࡿࡓࡵࡢ㸪⇕ὶᐦᗘホ౯⿦⨨ࢆࡈㄝ᫂࠸ࡓࡔࡁ
ࡲࡋࡓ㸦ᅗ 3㸧㸬ᰯṇ᫬ࡢㄗᕪせᅉ࡟ࡘ࠸࡚ࡣ୙☜࠿ࡉホ౯᪉ἲࡢㄝ᫂ࢆ஺࠼࡞ࡀࡽヲࡋࡃゎㄝ㡬ࡁࡲࡋࡓ㸬ࡲࡓ㸪⌧ᅾࢹ࣮ࢱ཰㞟୰ࡢ⇕ὶࢭࣥࢧ࣮ࡢᐇ⏝ホ౯ᢏ⾡࡟ࡘࡁࡲࡋ࡚ࡣ㸪✵Ẽ୰ࡸ┿✵୰࡟࠾ࡅࡿ⇕ὶࢭࣥࢧ࣮ࡢᣲືࡶゎㄝ㡬ࡁ㸪௒ᚋࡢࢹ࣮ࢱࡢ㞟✚ࡀᮇᚅࡉࢀࡲࡍ㸬մࡢࠕ⇕㟁ᑐࡢṇࡋ࠸౑࠸᪉࠾ࡼࡧ ᐃㄗᕪࡢᨭ㓄ⓗせᅉࠖࡢㅮ⩏࡛ࡣ⏣ᕝṇேᩍᤵ㸦ྡྂᒇᕤᴗ኱Ꮫ㸧ࡼࡾ㸪⇕㟁ᑐࡢ ᐃཎ⌮࡜ྲྀࡾᢅ࠸ࡢᇶ♏,ྛ✀つ᱁ูࡢࡑࢀࡒࢀࡢ⇕㟁ᑐࡢ≉㛗࡟ࡘ࠸࡚ࢃ࠿ࡾࡸࡍࡃࡈㄝ᫂࠸ࡓࡔࡁࡲࡋࡓ㸦ᅗ 4㸧
㸬」
㞧࡞⇕㟁ᑐᅇ㊰࡟ࡘ࠸࡚ࡶࢳ࣮ࣕࢺࢆ⏝࠸ࡿࡇ࡜࡛㸪⇕㉳㟁ຊࡀ࡝ࡢࡼ࠺࡟Ⓨ⏕ࡋ࡚࠸ࡿࡢ࠿ホ౯࡛ࡁࡿᡭἲࢆㄝ᫂࠸ࡓࡔࡁ㸪౛࠼ࡤ⇕㟁ᑐࡢຎ໬
ࡸ୙ᆒ㉁࡞ሙྜ࡟࡝ࡢࡼ࠺࡞ᙳ㡪ࡀⓎ⏕ࡍࡿࡢ࠿➼ࢆࢃ࠿ࡾࡸࡍࡃ⌮ゎ࡛ࡁࡲࡋࡓ㸬ࡲࡓ㸪⇕㟁ᑐࡢㄗᕪせᅉ࡜ࡋ࡚⇕ఏᑟㄗᕪࡸᛂ⟅㐜ࢀㄗᕪ➼ࢆヲࡋࡃゎㄝ㡬ࡁ㸪௒ᚋࡢ⌧ሙ࡛ࡢᛂ⏝࡟ࡘ࡞ࡀࡿ
ࡼ࠺࡞ၥ㢟ࢆᥦ౪ࡋ࡚࠸ࡓࡔࡁࡲࡋࡓ㸬㸯㸬ࡣࡌࡵ࡟
ẖᖺ㸪᪥ᮏఏ⇕Ꮫ఍ࡢ⏘Ꮫ஺ὶ஦ᴗࡢ୍⎔࡜ࡋ࡚㸪௻ᴗᢏ⾡⪅➼ࡢᐇົ࡟┤⤖ࡋࡓࢸ࣮࣐ࢆ㑅ᢥࡋ㸪᪥ᮏఏ⇕Ꮫ఍୺ദࡢㅮ⩦఍ࢆ㛤ദࡋ࡚࠸ࡲࡍ㸬௒ᖺᗘࡣࠕィ ᢏ⾡ ࠥ ᗘ࣭⇕ὶ࣭⇕ఏᑟ⋡ᐃࡢᇶ♏࡜ᛂ⏝ࠥࠖࢆࢸ࣮࣐࡟㛤ദࡍࡿࡇ࡜࡟࡞
ࡾࡲࡋࡓ㸬JR ᮾி㥐࠿ࡽᚐṌᅪෆࡢᮾிඵ㔜Ὢ࣮࣍ࣝ࡟࡚㸪11 ᭶ 22 ᪥㸪௨ୗࡢ㢟┠࡛㛤ദࡋ㸪
34 ྡ࡟ࡈཧຍ㡬ࡁ㸪┒ἣࡢ࠺ࡕ࡟⤊࠼ࡿࡇ࡜ࡀ࡛
ࡁࡲࡋࡓ㸦ᅗ 1㸧㸬㸫㢟┠㸫ձ 㛤ദࡢᣵᣜ㸦10 ศ㸧ղ ᨺᑕ ᗘィࡢṇࡋ࠸౑࠸᪉㸦40 ศ㸧ճ ⇕ὶࢭࣥࢧ࣮ࡢᇶ♏࡜ᰯṇᢏ⾡㸦70 ศ㸧̿᫨㣗ఇ᠁̿մ ⇕㟁ᑐࡢṇࡋ࠸౑࠸᪉࠾ࡼࡧ ᐃㄗᕪࡢᨭ㓄ⓗせᅉ㸦70 ศ㸧յ ᐃᖖἲ࡟ࡼࡿ⇕ఏᑟ⋡ ᐃ㸦70 ศ㸧ն ࣇࣛࢵࢩࣗἲ࡟ࡼࡿ⇕ᣑᩓ⋡ ᐃ㸦40 ศ㸧շ ⼥యࡢ⇕≀ᛶ㸦⇕ఏᑟ⋡㸪⢓ᛶ㸧
㸦40 ศ㸧ո ⥲ྜウㄽ㸦30 ศ㸧չ ㅮᖌ࡜ࡢᢏ⾡஺ὶ఍㸰㸬ྛ㢟┠࡟ࡘ࠸࡚
ղࡢࠕᨺᑕ ᗘィࡢṇࡋ࠸౑࠸᪉ࠖࡢㅮ⩏࡛ࡣ㸪୰ᮧඖᩍᤵ㸦㜵⾨኱Ꮫᰯ㸧ࡼࡾ㸪ᨺᑕ ᗘィࡢᇶ♏࡜ࡋ࡚ ᐃཎ⌮࡜ ᐃ᪉ᘧཬࡧ⣲Ꮚ࡟ࡼࡿศ㢮࡞࡝࡟ࡘ࠸࡚ࡈㄝ᫂࠸ࡓࡔࡁࡲࡋࡓ㸦ᅗ 2㸧
㸬 ᐃ
ㄗᕪせᅉ࡟ࡘ࠸࡚ࡣ㸪ᨺᑕ⋡ࡢᰯṇ᪉ἲࡸ࿘ᅖ⎔ቃ࡟ࡼࡾཷගࡍࡿ㉥እ⥺ᨺᑕ㔞࡟኱ࡁࡃᙳ㡪ࢆཷࡅࡿࡇ࡜ࢆࡈㄝ᫂࠸ࡓࡔࡁ㸪ྛ✀ࡢㄗᕪせᅉ࡟ᑐࡍࡿලయⓗ࡞ᑐฎ᪉ἲࢆゎㄝ㡬ࡁࡲࡋࡓ㸬ճࡢࠕ⇕ὶࢭࣥࢧ࣮ࡢᇶ♏࡜ᰯṇᢏ⾡ࠖࡢㅮ⩏ఏ⇕ 2020 ᖺ 1 ᭶

ᅗ 1 ఍ሙ඲య㢼ᬒ- 55 -J. HTSJ, Vol. 59, No. 246

ሗ࿌ᖌࡢඛ⏕᪉ࡀ☜ㄆ㸪㉁ၥ஦㡯ࢆᢳฟࡋ࡚࠸ࡓࡔࡁ㸪ㄝ᫂ࡍࡿ࡜࠸࠺ᙧᘧ࡛⾜ࢃࢀࡲࡋࡓ㸬ᚑ᮶࡜ྠᵝᗘィ ࡟㛵ࡍࡿ㉁ၥࡀከᩘ࠶ࡾࡲࡋࡓࡀ㸪ࡑࢀ࡟ຍ࠼࡚㸪⇕ὶࢭࣥࢧ࣮࡟㛵ࡍࡿ㉁ၥࡶከᩘ࠶ࡾ㸪⇕ὶࢭࣥࢧ࣮࡟㛵ࡍࡿ₯ᅾⓗ࡞ࢽ࣮ࢬࡶከࡃ࠶ࡿ
ࡇ࡜ࡀ☜ㄆ࡛ࡁࡲࡋࡓ㸬չࡢㅮᖌ࡜ࡢᢏ⾡஺ὶ఍ࡣ㸪ྠ఍ሙࢆ❧㣗ࣃ࣮ࢸ࢕࣮ᙧᘧ࡟ᶍᵝ᭰࠼ࡋࡓᙧ࡛⾜ࢃࢀ㸪ㅮᖌࡢඛ⏕᪉࡬ࡢಶูࡢ㉁ၥࡢሙ㸪ཷㅮ⪅㛫ࡢ஺ὶࡢሙ࡜
࡞ࡾࡲࡋࡓ㸬ྛศ㔝࡛▱ぢࡢ࠶ࡿඛ⏕᪉࡟┤᥋࠾ヰࢆఛ࠼ࡿ⤯ዲࡢᶵ఍࡛࠶ࡿࡇ࡜࠿ࡽ㸪఍ሙࡢྛᡤ࡛άⓎ࡟ඛ⏕᪉࡟㉁ၥࡍࡿཧຍ⪅ࡢጼࡀከࡃぢࡽࢀࡲࡋࡓ㸬ཧຍ⪅ྠኈ࡟ඛ⏕᪉ࢆຍ࠼࡚㸪⌧ᅾࡢㄢ㢟࡟ࡘ࠸࡚ពぢ஺᥮ࡍࡿᵝᏊࡶከࡃぢࡽࢀࡲࡋࡓ㸬᭷ព⩏࡞ၥ㢟ゎỴࡸ᝟ሗ஺᥮ࡢሙ࡜࡞ࡗࡓ
ࡢ࡛ࡣ࡞࠸࠿࡜ᛮࢃࢀࡲࡍ㸬յࡢࠕᐃᖖἲ࡟
ࡼࡿ⇕ఏᑟ⋡
ᐃࠖࡢㅮ⩏࡛ࡣ㸪Ლ⏣ḠẶ㸦ྡྂᒇ
ᕷᕤᴗ◊✲ᡤ㸧ࡼࡾ㸪᪂つ㛤Ⓨࡉࢀࡓᐃᖖἲ⇕ఏᑟ⋡ᐃ⿦⨨ࡢཎ⌮㸪ᵓᡂ㸪ㄗᕪホ౯⤖ᯝ࡟ࡘ࠸࡚ゎㄝ㡬ࡁࡲࡋࡓ㸦ᅗ 5㸧㸬ㄗᕪホ౯࡟ࡘ࠸࡚
ࡣ㸪ࣔࢹࣝ࡟ࡼࡿ
ᅗ 2 ㅮ⩏㢼ᬒゎᯒ࡟ࡼࡾ㸪࿘ᅖ㸦ᨺᑕ ᗘィࡢṇࡋ࠸ࡢ᩿⇕ᮦࡢᙳ㡪ࡣ౑࠸᪉㸪୰ᮧඛ⏕㸧
㍍ᚤ࡛㸪ࡴࡋࢁ኱
Ẽ୰ࡢ࡯࠺ࡀⰋ࠸
ሙྜࡀ࠶ࡿࡇ࡜㸪ഃ㠃࠿ࡽࡢ⇕࣮ࣜࢡࡢᙳ㡪ࡢホ౯ࢆࡈㄝ᫂࠸ࡓࡔࡁࡲࡋࡓ㸬௒ᅇࡈ⤂௓࠸ࡓࡔ࠸
ࡓ⿦⨨ࡣ㸪ᵓ㐀ࡸゎᯒ᪉ἲࡢᕤኵ࡟ࡼࡾ ᐃ᫬㛫ࡢ኱ᖜ࡞▷⦰࡟ᡂຌࡋ㸪⏘ᴗ⏺࡛ࡢᖜᗈ࠸ᛂ⏝ࡀᮇᚅࡉࢀࡲࡍ㸬նࡢࠕࣇࣛࢵࢩࣗἲ࡟ࡼࡿ⇕ᣑᩓ⋡ ᐃࠖࡢㅮ⩏࡛ࡣ㸪ኴ⏣ᘯ㐨ᩍᤵ㸦Ⲉᇛ኱Ꮫ኱Ꮫ㝔㸧ࡼࡾ㸪㠀ᐃᖖἲ⇕ᣑᩓ⋡㸭⇕ఏᑟ⋡ ᐃ⿦⨨࡜ࡋ࡚᭱ࡶ
ᬑཬࡋ࡚࠸ࡿ㸪ࣇࣛࢵࢩࣗἲ࡟ࡘ࠸࡚ࡈㄝ᫂࠸ࡓ
ࡔࡁࡲࡋࡓ㸦ᅗ 6㸧㸬ࣇࣛࢵࢩࣗἲࡢཎ⌮ཬࡧᵓᡂࢆᐇ㝿ࡢ⿦⨨ࡢ෗┿ཬࡧື⏬ࢆ஺࠼࡞ࡀࡽࢃ࠿ࡾ
ࡸࡍࡃゎㄝ㡬ࡁࡲࡋࡓ㸬」ྜᮦᩱࡢ ᐃ࡛ၥ㢟࡟࡞ࡿ㸪 ᗘୖ᪼ࡸゎᯒ࡟ࡘ࠸࡚࢖ࣥࢱ࣮ࢿࢵࢺ㸪つ᱁᭩㸪ᩍ⛉᭩࡟ࡣ㍕ࡗ࡚࠸࡞࠸ᑐฎ᪉ἲࢆලయ
ⓗ࡟ࡈ⤂௓࠸ࡓࡔࡁ㸪ᐇ㝿ࡢ ᐃ⌧ሙ࡛ᙺ❧ࡘ᝟ሗࡀᚓࡽࢀࡲࡋࡓ㸬
շࡢࠕ⼥యࡢ⇕≀ᛶ㸦⇕ఏᑟ⋡㸪⢓ᛶ㸧ࠖࡢㅮ⩏࡛ࡣ㸪す๛ྐ෸ᩍᤵ㸦Ⲉᇛ኱Ꮫ኱Ꮫ㝔㸧ࡼࡾ㸪㔠ᒓ࢞ࣛࢫࡸࢣ࢖㓟ሷ⼥యࡢࣇࣛࢵࢩࣗἲ࡟ࡼࡿ⇕ᣑᩓ⋡ ᐃࡢලయ౛࡜㸪ࡑࡢ⤖ᯝ࠿ࡽᑟࡁฟࡉࢀ
ࡿᮦᩱᵓ㐀ࡢ▱ぢ➼ࢆゎㄝ㡬ࡁࡲࡋࡓ㸦ᅗ 7㸧㸬ࡲࡓ㸪ྛ✀ࡢ⢓ᛶ⋡ ᐃ⿦⨨㸦⣽⟶ἲ㸪ᅇ㌿ἲ㸪ࡿࡘࡰᅇ㌿᣺ືἲ㸧࡜ゎᯒᡭἲࢆࡈㄝ᫂࠸ࡓࡔࡁ㸪ࡣࢇࡔࡸ⁐⼥ࢽࢵࢣࣝࡢ⢓ᛶ⋡ ᐃࡢලయ౛ࢆᏛ
⩦ࡋࡲࡋࡓ㸬
ոࡢ⥲ྜウㄽ࡛ࡣ㸪ཷㅮ⪅࡟࠶ࡽ࠿ࡌࡵ㓄ᕸࡋࡓࢩ࣮ࢺ࡟㉁ၥࢆグධࡋ࡚ࡶࡽ࠸㸪ࡑࡢෆᐜࢆㅮ

ఏ⇕ 2020 ᖺ 1 ᭶㸱㸬඲యࡢ༳㇟㸪࢔ࣥࢣ࣮ࢺ⤖ᯝཧຍ⪅ࡢෆヂࡣ㸪65%ࡀ௻ᴗࡢ᪉࡛㸪26%ࡀ኱
Ꮫ㛵ಀࡢ᪉࡛㸪9%ࡀᐁබᗇࡢ᪉࡛ࡋࡓ㸬᫨㛫ࡢྛㅮ⩏㸪ኤ้ࡢᢏ⾡஺ὶ఍ྵࡵ㸪⏘Ꮫ஺ὶጤဨ఍ࡢ
άື┠ⓗ࡛࠶ࡿ⏘Ꮫᐁ஺ὶࡢάᛶ໬ࡢ୍ຓ࡟࡞ࡗ
ࡓࡶࡢ࡜ᛮ࠸ࡲࡍ㸬⇕㛵㐃ィ ࡛௦⾲ⓗ࡞ࢭࣥࢧ࣮࡛࠶ࡿ㸪⇕㟁ᑐ㸪ᨺᑕ ᗘィ㸪⇕ὶࢭࣥࢧ࣮ࢆ⥙⨶ࡋ㸪⇕ఏᑟ⋡ィ࡛ࡣᐃᖖἲ࡜㠀ᐃᖖἲࡢ஦౛ࢆ⤂௓ࡋ㸪⇕࡟㛵ࡋ࡚ᇶᮏⓗ࡞ィ ᢏ⾡ࢆᴫほ࡛ࡁࡿࡓࡵ㸪ከࡃࡢཷㅮ⪅࡟࡜ࡗ࡚᭷
┈࡛࠶ࡗࡓ࡜⪃࠼࡚࠸ࡲࡍ㸬࢔ࣥࢣ
࣮ࢺ⤖ᯝ࡟ࡘ࠸࡚
ࡶ࡯࡜ࢇ࡝ࡍ࡭࡚
ࡀ⫯ᐃⓗ࡞ࡈホ౯࡛ࡋࡓ㸬௒ᚋࡢㅮ⩦఍ࡢ
௻⏬࡟ࡘ࠸࡚ࡣ㸪ὶయ㸪⇞↝㸪㟁Ẽ⮬ື㌴㸪㠀᥋ゐᗘィ ᢏ⾡㸪ᮦᩱ≀ᛶࢆ୰ᚰ࡜ࡋࡓィ ➼ከᒱ࡟ࢃࡓ
ᅗ 3 ㅮ⩏㢼ᬒࡿࡈពぢࡀ࠶ࡾ㸪㸦⇕ὶࢭࣥࢧ࣮ࡢᇶ♏
௒ᚋࡢ௻⏬ࡢཧ⪃࡜ᰯṇᢏ⾡㸪㜿ᏊᓥẶ㸧࡟ࡉࡏ࡚㡬ࡁࡲࡍ㸬- 56 -J. HTSJ, Vol. 59, No. 246

ሗ࿌㸲㸬࠾ࢃࡾ࡟
⏘Ꮫ஺ὶጤဨ఍࡛ࡣ㸪⏘Ꮫ஺ὶࢆಁ㐍ࡍࡿࡓࡵ㸪⌧ᅾ㸪ࡉࡲࡊࡲ࡞࢖࣋ࣥࢺࢆ᳨ウ୰࡛ࡍ㸬ᮏㅮ⩦఍ࡣ㸪ࡑࡢ୰ࡢ࢔࢖ࢸ࣒ࡢ 1 ࡘ࡜ࡋ࡚㸪ᮏᖺࡶ㛤ദ࡟ྥࡅ㸪‽ഛࢆ㐍ࡵ࡚ཧࡾࡲࡍ㸬ヲ⣽ࡀỴࡲࡾḟ➨㸪ู㏵ࡈ᱌ෆࡋࡲࡍ㸬ㅮ⩦఍ࢆྵࡴ⏘Ꮫ஺ὶ࢖࣋ࣥࢺ࡬ࡢⓙᵝࡢࡈཧຍࢆ࠾ᚅࡕࡋ࡚࠸ࡲࡍ㸬᭱ᚋ࡟㸪ㅮᖌࡢⓙᵝ࡟ࡣ㸪ࡈከᛁࡢ࡜ࡇࢁ㸪㈨ᩱసᡂྵࡵ㸪ࡈ༠ຊࢆ㡬ࡁࡲࡋ࡚㸪࠶ࡾࡀ࡜࠺ࡈ
ࡊ࠸ࡲࡋࡓ㸬⣬㠃ࢆ࠾೉ࡾࡋ࡚㸪ᨵࡵ࡚ឤㅰ⏦ࡋୖࡆࡲࡍ㸬ᅗ 6 ㅮ⩏㢼ᬒ㸦ࣇࣛࢵࢩࣗἲ࡟ࡼࡿ⇕ᣑᩓ⋡
ኴ⏣ඛ⏕㸧

ᐃ㸪

ᅗ 4 ㅮ⩏㢼ᬒ㸦⇕㟁ᑐࡢṇࡋ࠸౑࠸᪉࠾ࡼࡧ
ᐃㄗᕪࡢᨭ㓄ⓗせᅉ㸪⏣ᕝඛ⏕㸧ᅗ 7 ㅮ⩏㢼ᬒ㸦⼥యࡢ⇕≀ᛶ㸦⇕ఏᑟ⋡㸪⢓ᛶ㸧㸪すඛ⏕㸧ᅗ 5 ㅮ⩏㢼ᬒ㸦ᐃᖖἲ࡟ࡼࡿ⇕ఏᑟ⋡ ᐃ㸪Ლ⏣Ặ㸧ఏ⇕ 2020 ᖺ 1 ᭶- 57 -J. HTSJ, Vol. 59, No. 246

⾜஦࢝ࣞࣥࢲ࣮

ᮏ఍୺ദ⾜஦
㛤ദ᪥
2020 ᖺ
1᭶
10(㔠)
ࠥ
11(ᅵ)

⾜஦ྡ

⏦㎸⥾ษ

ཎ✏⥾ษ

International Seminar in Fukui-Japan-China Heat Transfer Symposium
2020㸦᪥୰ఏ⇕ࢩ࣏ࣥࢪ࣒࢘ 2020㸧ၥྜඛᐇ⾜ጤဨ㛗㸸Ọ஭஧㑻㸦⚟஭኱Ꮫ㸧E-mail: nagai@u-fukui.ac.jp

6᭶

3(Ỉ)
ࠥ
5(㔠)

➨ 57 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘
㸦▼ᕝ┴ᆅሙ⏘ᴗ᣺⯆ࢭࣥࢱ࣮㸧2020.1.17

2020.3.13

ᐇ⾜ጤဨ㛗㸸ከ⏣ᖾ⏕㸦㔠ἑ኱Ꮫ㸧

11 ᭶

15(᪥)
ࠥ
19(ᮌ)

࢔ࢪ࢔⇕⛉Ꮫ఍㆟ 2020
㸦2nd ACTS㸧

2020.3.27

2020.5.30

ACTS2020 ᐇ⾜ጤဨ఍
secretary@acts2020jp.org

⏦㎸⥾ษ

ཎ✏⥾ษ

ᮏ఍ඹദ㸪༠㈶㸪ᚋ᥼⾜஦㛤ദ᪥⾜஦ྡ2020 ᖺ
1᭶
23(ᮌ)➨ 48 ᅇ࢞ࢫࢱ࣮ࣅࣥࢭ࣑ࢼ࣮
ࠥ
24(Ḡ)
3᭶
5(ᮌ)
➨㸯ᅇୡ⏺࢚ࣥࢪࢽ࢔ࣜࣥࢢࢹ࢖グᛕࢩ࣏ࣥࢪ࣒࢘
6᭶

10 ᭶

18(ᮌ)
ࠥ
19(Ḡ)
13(ⅆ)
ࠥ
16(㔠)

20-19 ㅮ⩦఍ࠕ➨ 25 ᅇືຊ࣭࢚ࢿࣝ
ࢠ࣮ᢏ⾡ࢩ࣏ࣥࢪ࣒࢘ࠖ

ၥྜඛ

ᥖ㍕ྕ

㸦බ♫㸧᪥ᮏ࢞ࢫࢱ࣮ࣅࣥᏛ఍஦ົᒁ
Tel:03-3365-0095
E-mail:gtsj-desk@gtsj.org㸦බ♫㸧᪥ᮏᕤᏛ఍
eng@jfes.or.jp
2020.2.21

31st International Symposium on
Transport Phenomena (ISTP31)

ఏ⇕ 2020 ᖺ 1 ᭶

ᥖ㍕ྕ

2020.4.24

㸦୍♫㸧᪥ᮏᶵᲔᏛ఍⥲ྜ௻⏬ G᳃ᮏ࠶࠿ࡡ morimoto@jsme.or.jp
ISTP31 ᐇ⾜ጤဨ఍ጤဨ㛗ᶓ㔝Ὀஅyokono@mech.t.u-tokyo.ac.jp- 59 -J. HTSJ, Vol. 59, No. 246

࠾▱ࡽࡏ➨ 57 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࡢࡈ᱌ෆ
➨ 57 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ᐇ⾜ጤဨ఍ጤဨ㛗 ከ⏣ ᖾ⏕ᖿ஦ ᑎᒸ ႐࿴㛤ദ᪥㸸 ௧࿴ 2 ᖺ 6 ᭶ 3 ᪥㸦Ỉ㸧㹼6 ᭶ 5 ᪥㸦㔠㸧఍ ሙ㸸 ▼ᕝ┴ᆅሙ⏘ᴗ᣺⯆ࢭࣥࢱ࣮㸦https://www.isico.or.jp/site/jibasan/㸧ᡤᅾᆅ ࠛ920-8203 ▼ᕝ┴㔠ἑᕷ㠡᭶ 2 ୎┠ 1 ␒ᆅ 㟁ヰ 076-268-2010࢔ࢡࢭࢫ ໭㝣᪂ᖿ⥺/໭㝣ᮏ⥺ ࠕJR 㔠ἑ㥐 ཱྀ㸦すཱྀ㸧ࠖࡼࡾᏛ఍ᑓ⏝ࢩࣕࢺࣝࣂࢫࡲࡓࡣ
໭㝣㕲㐨ࣂࢫ࡛ 20 ศ, ࢱࢡࢩ࣮࡛ 15 ศ㣕⾜ᶵࢆࡈ฼⏝ࡢሙྜࠕᑠᯇ✵ ࠖࡼࡾ JR 㔠ἑ㥐ࡲ࡛✵ 㐃⤡ࣂࢫ࡛ 40 ศ
ㅮ₇⏦㎸⥾ษ㸸௧࿴ 2 ᖺ 1 ᭶ 17 ᪥㸦㔠㸧
ㅮ₇ㄽᩥཎ✏ᥦฟ⥾ษ㸸
௧࿴ 2 ᖺ 3 ᭶ 13 ᪥㸦㔠㸧᪩ᮇཧຍ⏦㎸⥾ษ㸸௧࿴ 2 ᖺ 4 ᭶ 17 ᪥㸦㔠㸧࣮࣒࣮࣍࣌ࢪ㸸      URL㸸https://htsj-conf.org/symp2020/࠙ࢩ࣏ࣥࢪ࣒࢘ࡢᙧᘧࠚ
z ㅮ₇Ⓨ⾲ᙧᘧ࡜ࡋ࡚
a) ㏻ᖖࡢ୍⯡ࢭࢵࢩࣙࣥ㸦ཱྀ㢌Ⓨ⾲㸧b) ࣮࢜࢞ࢼ࢖ࢬࢻࢭࢵࢩࣙࣥ㸦ཱྀ㢌Ⓨ⾲㸧c) Ꮫ⏕࠾ࡼࡧⱝᡭ◊✲⪅ࢆᑐ㇟࡜ࡍࡿඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩࣙࣥ
ࢆᐇ᪋ࡋࡲࡍ㸬z 1 ㅮ₇࠶ࡓࡾࡢ๭ᙜ᫬㛫ࡣ㸪୍⯡ࢭࢵࢩ࡛ࣙࣥࡣ 15 ศ㸦Ⓨ⾲ 10 ศ㸪ಶูウㄽ 5 ศ㸧࡛㸪ྛࢭࢵࢩࣙࣥࡢ
᭱ᚋ࡟⥲ྜウㄽࡢ᫬㛫㸦5 ศࢭࢵࢩࣙࣥෆࡢㅮ₇௳ᩘ㸧ࢆタࡅࡿணᐃ࡛ࡍ㸬࣮࢜࢞ࢼ࢖ࢬࢻࢭࢵࢩࣙࣥ
࡟ࡘ࠸࡚ࡣ㸪࣮࢜࢞ࢼ࢖ࢨ࣮ࡢᣦ♧࡟ᚑࡗ࡚ୗࡉ࠸㸬z ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩࣙࣥ࡟ࡘ࠸࡚ࡣ㸪ᮏྕᥖ㍕ࡢ࠾▱ࡽࡏࠕඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹㸦➨ 57 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘㸧࡟ࡘ࠸࡚ࠖࢆࡈཧ↷ୗࡉ࠸㸬࠙ཧຍ㈝➼ࠚz ཧຍ⏦㎸ࡢ᫬ᮇ᪩ᮇ⏦㎸㸸4 ᭶ 17 ᪥㸦㔠㸧ࡲ࡛㏻ᖖ⏦㎸㸸4 ᭶ 18 ᪥㸦ᅵ㸧௨㝆㸦5 ᭶୰᪪ࡲ࡛࡟ཧຍⓏ㘓ࢆ᏶஢ࡉࢀࡓ᪉࡟ࡣ㸪஦๓࡟ཧຍ⪅࢟ࢵࢺࢆ
࠾㏦ࡾࡋࡲࡍ㸧z ࢩ࣏ࣥࢪ࣒࢘ཧຍ㈝఍ဨ୍⯡᪩ᮇ⏦㎸㸸14,000 ෇㏻ᖖ⏦㎸㸸17,000 ෇㠀఍ဨ୍⯡᪩ᮇ⏦㎸㸸17,000 ෇㏻ᖖ⏦㎸㸸20,000 ෇఍ဨᏛ⏕᪩ᮇ⏦㎸㸸 8,000 ෇㏻ᖖ⏦㎸㸸 9,000 ෇㠀఍ဨᏛ⏕᪩ᮇ⏦㎸㸸 9,000 ෇㏻ᖖ⏦㎸㸸10,000 ෇ͤ≉ู㈶ຓ఍ဨࡣ 1 ཱྀ࡟ࡘࡁ 3 ྡ㸪㈶ຓ఍ဨࡣ 1 ཱྀ࡟ࡘࡁ 1 ྡ㸪ཧຍ㈝ࡀ↓ᩱ࡟࡞ࡾࡲࡍ㸬ͤ఍ဨ࡜ࡣ㸪᪥ᮏఏ⇕Ꮫ఍఍ဨࡢ࡯࠿㸪ඹദ࣭༠㈶Ꮫ༠఍ࡢ఍ဨࢆྵࡳࡲࡍ㸬
ͤㅮ₇ㄽᩥ㞟㟁Ꮚ∧ࡣཧຍ⪅඲ဨ࡟㓄ᕸࡉࢀࡲࡍ㸬ఏ⇕ 2020 ᖺ 1 ᭶- 60 -J. HTSJ, Vol. 59, No. 246࠾▱ࡽࡏz ㅮ₇ㄽᩥ㞟㟁Ꮚ∧
ㅮ₇ㄽᩥ㞟㟁Ꮚ∧ࡢࡳࡢ㈍኎㸸5,000 ෇㸦ࢩ࣏ࣥࢪ࣒࢘ᚋࡢ㈍኎࡜࡞ࡾࡲࡍ㸬㸧࠙ពぢ஺᥮఍ࠚz 㛤ദ᪥㸸௧࿴ 2 ᖺ 6 ᭶ 4 ᪥㸦ᮌ㸧z ఍ ሙ㸸㔠ἑᇛ஬༑㛫㛗ᒇ㸦ࠛ920-0937 ▼ᕝ┴㔠ἑᕷ୸ࡢෆ 1 ␒ 1 ྕ㸧z ཧຍ㈝㸸୍⯡ ᪩ᮇ⏦㎸㸸8,000 ෇㸪㏻ᖖ⏦㎸㸸10,000 ෇ ྠక㓄അ⪅↓ᩱᏛ⏕ ᪩ᮇ⏦㎸㸸4,000 ෇㸪㏻ᖖ⏦㎸㸸 5,000 ෇
࠙ཧຍⓏ㘓࡜ཧຍ㈝➼ࡢᨭᡶ࠸᪉ἲࠚ
z ཧຍⓏ㘓ࡣᮏࢩ࣏ࣥࢪ࣒࢘ࡢ࢙࢘ࣈ࣮࣌ࢪ࠿ࡽ⾜ࡗ࡚ࡃࡔࡉ࠸㸬z ཧຍ㈝➼ࡢᨭᡶ࠸ࡣ㸪ཧຍⓏ㘓ࡢ࣮࣌ࢪ࠿ࡽࡢࢡࣞࢪࢵࢺ࣮࢝ࢻỴ῭㸪ࡶࡋࡃࡣ㖟⾜᣺㎸࡟࡞ࡾࡲࡍ㸬ཧຍ㈝➼ࡢᨭᡶ࠸ࢆࡶࡗ࡚ࠕཧຍⓏ㘓ࡢ᏶஢ࠖ࡜ࡋࡲࡍ㸬z 㖟⾜᣺㎸࡟ࡼࡿ᪩ᮇ⏦㎸ࡳࢆࡉࢀࡿሙྜࡣ㸪4 ᭶ 17 ᪥ࡲ࡛࡟᣺㎸ࢆ࠾῭ࡲࡏࡃࡔࡉ࠸㸬z 㖟⾜᣺㎸࡟ࡼࡿᨭᡶ࡛ࡣ᣺㎸⏝⣬➼ࡣ⏝ព࠸ࡓࡋࡲࡏࢇ㸬᣺㎸ᡭᩘᩱࡣྛ⮬࡛ࡈ㈇ᢸ㢪࠸ࡲࡍ㸬z 4 ᭶ 18 ᪥௨㝆ࡶ࢙࢘ࣈ࣮࣌ࢪ࠿ࡽࡢཧຍⓏ㘓ࡀྍ⬟࡛ࡍ㸬ཧຍ㈝ࡣ㏻ᖖ⏦㎸ᢅ࠸࡜࡞ࡾࡲࡍ㸬z 5 ᭶୰᪪ࡲ࡛࡟ཧຍⓏ㘓ࢆ᏶஢ࡉࢀࡓ᪉࡟ࡣ஦๓࡟ཧຍ⪅࢟ࢵࢺ㸦ㅮ₇ㄽᩥ㞟㟁Ꮚ∧㸪ㅮ₇ࣉࣟࢢ࣒ࣛ㸪ཧຍ⚊㸪㡿཰᭩࡞࡝㸧ࢆ࠾㏦ࡾࡋࡲࡍ㸬z ࢩ࣏ࣥࢪ࣒࢘ᙜ᪥ࡶཧຍⓏ㘓࡜ཧຍ㈝➼ࡢᨭᡶ࠸ࡀ࡛ࡁࡲࡍ㸬ㅮ₇⏦㎸᪉ἲ㸪ㅮ₇ㄽᩥ㞟㸪ᇳ➹せ⥘࠙◊✲Ⓨ⾲⏦㎸᪉ἲࠚz ୍⯡ࢭࢵࢩࣙࣥ࡜ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩࣙࣥࡢㅮ₇⪅㸦Ⓩቭ⪅㸧ࡣ㸪᪥ᮏఏ⇕Ꮫ఍఍ဨ㸦Ꮫ⏕఍ဨ㸪㈶ຓ఍ဨ㸪≉ู㈶ຓ఍ဨ㸪᥎⸀఍ဨࢆྵࡴ㸧࡟㝈ࡾࡲࡍ㸬ㅮ₇⪅ࡀ᪥ᮏఏ⇕Ꮫ఍఍ဨ࡛࡞࠸ሙ
ྜࡣ㸪఍ဨ⏦㎸࡜఍㈝⣡௜ࢆ⾜ࡗ࡚ୗࡉ࠸㸬㸦࣮࢜࢞ࢼ࢖ࢬࢻࢭࢵࢩࣙࣥ࡟ࡘ࠸࡚ࡣ㸪ྛࢭࢵࢩࣙࣥࡢ࢜
࣮࢞ࢼ࢖ࢨ࣮ࡢᣦ♧࡟ᚑࡗ࡚ୗࡉ࠸㸬㸧z ཎ๎࡜ࡋ࡚࢙࢘ࣈ࡟ࡼࡿ⏦㎸ࡳ࡟㝈ࡽࡏ࡚㡬ࡁࡲࡍ㸬ᮏࢩ࣏ࣥࢪ࣒࡛࢘‽ഛࡍࡿ࢙࢘ࣈࢧ࢖ࢺ࠿ࡽᚲせ࡞ࢹ࣮ࢱࢆධຊࡋ࡚ୗࡉ࠸㸬࢙࢘ࣈ࡟ࡼࡿ⏦㎸ࡳࡀ࡛ࡁ࡞࠸ሙྜ࡟ࡣ㸪ᐇ⾜ጤဨ఍஦ົᒁ࡟࠾ၥ࠸ྜࢃ
ࡏୗࡉ࠸㸬z ⏦㎸ࡳࡢ㝿࡟㸪୍⯡ࢭࢵࢩࣙࣥ㸪࣮࢜࢞ࢼ࢖ࢬࢻࢭࢵࢩࣙࣥ㸪ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩࣙࣥࡢ࠸ࡎࢀ࡛Ⓨ⾲ࡍࡿ࠿ࢆ㑅ᢥࡋ࡚ୗࡉ࠸㸬ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩࣙࣥ࡟࠾⏦㎸ࡳࡢሙྜ࡟ࡣ㸪ᮏྕᥖ㍕ࡢ࠾▱ࡽࡏࠕඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹㸦➨ 57 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘㸧࡟ࡘ࠸࡚ࠖࢆࡈཧ↷ୗࡉ࠸㸬z Ⓨ⾲⏦㎸ࡳ᫬࡟㸪ㄽᩥせ᪨㸦᪥ᮏㄒ࡛ 200㹼250 Ꮠ㸧ࢆධຊࡋ࡚ୗࡉ࠸㸬ㅮ₇ㄽᩥ㞟ࡢᢒ㘓࡜ࡋ࡚⛉Ꮫᢏ⾡᣺⯆ᶵᵓ㸦JST㸧ࡢࢹ࣮ࢱ࣮࣋ࢫ࡟Ⓩ㘓ࡋࡲࡍ㸬z ㅮ₇Ⓨ⾲⏦㎸ࡣ㸪ㅮ₇⪅ 1 ྡ࡟ࡘࡁ 1 㢟┠࡜ࡉࡏ࡚㡬ࡁࡲࡍ㸬z ㅮ₇ࡢ᥇ྰ࠾ࡼࡧࢭࢵࢩࣙࣥ࡬ࡢ᣺ࡾศࡅࡣ㸪ᐇ⾜ጤဨ఍࡟ࡈ୍௵ୗࡉ࠸㸬
࠙ㅮ₇ㄽᩥ㞟㟁Ꮚ∧ࠚz ㅮ₇ㄽᩥࡲࡓࡣㅮ₇࢔ࣈࢫࢺࣛࢡࢺࡢ࠸ࡎࢀ࠿ࡢཎ✏ࢆ㸪PDF ࣇ࢓࢖࡛ࣝᮏࢩ࣏ࣥࢪ࣒࢘ࡢ࣮࣒࣮࣍࣌
ࢪ࠿ࡽᥦฟࡋ࡚ୗࡉ࠸㸬z ᚑ᮶ࡢㅮ₇ㄽᩥ࡜ࡣู࡟㸪ᙜヱㅮ₇ෆᐜࢆᚋ᪥ཎⴭㄽᩥ࡜ࡋ࡚ TSE ௨እࡢᏛ⾡㞧ㄅ➼࡟ᢞ✏ࡍࡿሙྜࡣ㸪஧㔜ᢞ✏࡟࡞ࡽ࡞࠸ࡼ࠺࡟㓄៖ࡋ࡚ 1 ࣮࣌ࢪࡢㅮ₇࢔ࣈࢫࢺࣛࢡࢺࢆᥦฟࡍࡿࡇ࡜ࡀ࡛ࡁࡲࡍ㸬z ㅮ₇࢔ࣈࢫࢺࣛࢡࢺࡣ A4 ࢧ࢖ࢬ࡛ 1 ࣮࣌ࢪ㸪ㅮ₇ㄽᩥࡣ A4 ࢧ࢖ࢬ࡛ 2㹼6 ࣮࣌ࢪ࡜ࡋࡲࡍ㸬ఏ⇕ 2020 ᖺ 1 ᭶- 61 -J. HTSJ, Vol. 59, No. 246࠾▱ࡽࡏz ㅮ₇ㄽᩥ࡜ㅮ₇࢔ࣈࢫࢺࣛࢡࢺࡣㅮ₇ㄽᩥ㞟࡜ࡋ࡚㟁Ꮚ∧ࡢࡳࢆⓎ⾜ࡋ㸪෉Ꮚ∧ࡣⓎ⾜ࡋࡲࡏࢇ㸬z ㅮ₇ㄽᩥ㞟㟁Ꮚ∧ࢆཧຍ⪅࡟㓄ᕸࡋࡲࡍ㸬࡞࠾㸪ㅮ₇ㄽᩥ㞟㟁Ꮚ∧ࡣཧຍ࡛ࡁ࡞࠿ࡗࡓ᪥ᮏఏ⇕Ꮫ఍఍ဨ࡟ࡶᕼᮃࡀ࠶ࢀࡤ㓄ᕸࡋࡲࡍࡢ࡛㸪ࢩ࣏ࣥࢪ࣒࢘⤊஢ᚋ࡟᪥ᮏఏ⇕Ꮫ఍஦ົᒁ࡟࠾⏦㎸ࡳୗࡉ࠸㸬z ㅮ₇ㄽᩥ㞟ࡣ఍ဨࢆᑐ㇟࡟ࣃࢫ࣮࣡ࢻࢆ㓄ᕸࡋ㸪ࢩ࣏ࣥࢪ࣒࢘㛤ദ᪥ࡢ 2 㐌㛫⛬๓࠿ࡽ࢙࢘ࣈୖ࡛බ㛤ࡋࡲࡍ㸬ᚑࡗ࡚㸪≉チ࡟㛵ࢃࡿබ▱᪥ࡣࢩ࣏ࣥࢪ࣒࢘㛤ദ᪥ࡼࡾࡶ᪩ࡃ࡞ࡾࡲࡍࡢ࡛ࡈὀពࡃࡔࡉ࠸㸬z ࢩ࣏ࣥࢪ࣒࢘⤊஢ᚋ㸪୍ᐃᮇ㛫ࢆ⤒࡚ㅮ₇ㄽᩥ㞟ࡢ࢙࢘ࣈୖ࡛ࡢබ㛤ࢆ⤊஢ࡋࡲࡍ㸬z ཎ✏ᥦฟ⥾ษ᪥ࡲ࡛࡟ᥦฟࡉࢀ࡞࠿ࡗࡓሙྜࡣ㸪ㅮ₇ㄽᩥ㞟࡟ᥖ㍕ࡉࢀࡲࡏࢇ㸬༑ศ࡟ࡈὀពୗࡉ࠸㸬࠙ᇳ➹せ⥘ࠚz ௨ୗࡢ 4 ࡘࡢཎ✏ࡢ࠺ࡕ࠿ࡽ㑅ᢥࡋ࡚ᇳ➹ࡋ࡚ୗࡉ࠸㸬ձ ㅮ₇ㄽᩥ㸦୍⯡ࢭࢵࢩࣙࣥ㸪࣮࢜࢞ࢼ࢖ࢬࢻࢭࢵࢩࣙࣥ㸪ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩࣙࣥ㸧ղ ㅮ₇࢔ࣈࢫࢺࣛࢡࢺ㸦୍⯡ࢭࢵࢩࣙࣥ㸪࣮࢜࢞ࢼ࢖ࢬࢻࢭࢵࢩࣙࣥ㸪ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭ
ࢵࢩࣙࣥ㸧ճ Full size manuscriptմ Abstract manuscriptz ྛཎ✏ࡢ᭩ᘧࡢヲ⣽࡞ࡽࡧ࡟ࢸࣥࣉ࣮ࣞࢺࡣ㸪ࢩ࣏ࣥࢪ࣒࢘ࡢ࣮࣒࣮࣍࣌ࢪࢆࡈཧ↷ࡃࡔࡉ࠸㸬z ㄽᩥ⾲㢟࠾ࡼࡧⴭ⪅ྡࡣ㸪ㅮ₇⏦㎸᫬ࡢࢹ࣮ࢱ࡜ྠࡌࡶࡢࢆྠࡌ㡰ᗎ࡛᭩࠸࡚ࡃࡔࡉ࠸㸬ㅮ₇⏦㎸᫬ࡢ
ࢹ࣮ࢱ࡜␗࡞ࡿሙྜ࡟ࡣ㸪┠ḟࡸ⣴ᘬ࡟཯ᫎࡉࢀ࡞࠸ࡇ࡜ࡀ࠶ࡾࡲࡍ㸬z PDF ࣇ࢓࢖ࣝసᡂࡢࡓࡵࡢࣇ࢓࢖ࣝኚ᥮᫬࡟ࡣ㸪ࠕࣇ࢛ࣥࢺࡢᇙࡵ㎸ࡳࢆ⾜࠺ࠖࢆタᐃࡋ࡚ࡃࡔࡉ࠸㸬ᥦฟ๓࡟ᚲࡎ㸪ኚ᥮ᚋࡢ PDF ཎ✏ࢆ༳ๅࡋ࡚☜ㄆࡋ࡚ୗࡉ࠸㸬
ձㅮ₇ㄽᩥ㸦୍⯡ࢭࢵࢩࣙࣥ㸪࣮࢜࢞ࢼ࢖ࢬࢻࢭࢵࢩࣙࣥ㸪ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩࣙࣥ㸧⾲㢟㒊ศࡢ᭩ᘧ㸸ཎ✏ࡣ㸪௨ୗࡢᅄゅᅖ࠸㒊࡟♧ࡍࡼ࠺࡟㸪࿴ᩥ⾲㢟㸪࿴ᩥ๪㢟㸪ⱥᩥ⾲㢟㸪ⱥᩥ๪㢟㸪࿴ᩥⴭ⪅ྡ㸦఍ဨ㈨᱁㸪ⴭ⪅ྡ㸪ᡤᒓࡢ␎グ㸧㸪ⱥᩥⴭ⪅ྡ㸪ⱥᩥᡤᒓᶵ㛵࣭ᡤᅾᆅ㸪ⱥᩥ࢔ࣈࢫࢺࣛࢡࢺ㸪ⱥᩥ࣮࣮࢟࣡ࢻࡢ㡰࡟㸪ᖜ 140mm ࡟཰ࡲࡿࡼ࠺࡟ࣞ࢖࢔࢘ࢺࡋ࡚ࡃࡔࡉ࠸㸬㐃ྡ⪅ࡀ࠶ࡿሙྜ࡟ࡣ㸪ㅮ₇⪅ࡢ๓࡟㸨༳ࢆࡘࡅ㸪ⱥᩥࡢᡤᒓᶵ㛵࣭ᡤᅾᆅ࡟ࡘ࠸࡚ࡶୖ௜ࡁᩘᏐ࡛༊ูࡋ࡚ࡃࡔࡉ࠸㸬ᮏᩥࡢ᭩ᘧ㸸 ᮏᩥࡣ⾲㢟㒊ศ࡟⥆ࡅ࡚㸪10 ࣏࢖ࣥࢺ᫂ᮅయࡢ 1 ẁ⤌ࡳ㸦1 ⾜ 50 Ꮠ⛬ᗘ㸧
㸪1 ࣮࣌ࢪᙜࡓࡾ 46⾜ࢆ┠Ᏻ࡜ࡋ࡚సᡂࡋ࡚ࡃࡔࡉ࠸㸬ᅗ⾲㸸ᅗ⾲୰ࡢグྕ࠾ࡼࡧ࢟ࣕࣉࢩࣙࣥࡣⱥㄒ࡛᭩࠸࡚ࡃࡔࡉ࠸㸬࣮࢝ࣛ⾲♧ࡀྍ⬟࡛ࡍ㸬ཧ⪃ᩥ⊩㸸 ཧ⪃ᩥ⊩ࡣᮏᩥ୰ࡢᘬ⏝⟠ᡤࡢྑ⫪࡟ᑠᣓᘼࢆࡘࡅࡓ␒ྕ(1)࡛⾲ࡋ㸪ᮏᩥࡢᮎᑿ࡟ḟࡢࡼ࠺࡟ ࡲ࡜ࡵ࡚ิグࡋ࡚ࡃࡔࡉ࠸㸬(␒ྕ) ⴭ⪅ྡ㸪㞧ㄅ␎⛠㸪ᕳ-ྕ(Ⓨ⾜ᖺ)㸪ඛ㢌࣮࣌ࢪ␒ྕ㸬౛㸸(1) ఏ⇕࣭௚ 2 ྡ㸪ᶵㄽ(B), 12-345(2006), 1234.
ղㅮ₇࢔ࣈࢫࢺࣛࢡࢺ㸦୍⯡ࢭࢵࢩࣙࣥ㸪࣮࢜࢞ࢼ࢖ࢬࢻࢭࢵࢩࣙࣥ㸪ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩ
ࣙࣥ㸧⾲㢟㒊ศࡢ᭩ᘧ㸸ཎ✏ࡣ㸪௨ୗࡢᅄゅᅖ࠸㒊࡟♧ࡍࡼ࠺࡟㸪࿴ᩥ⾲㢟㸪࿴ᩥ๪㢟㸪ⱥᩥ⾲㢟㸪ⱥᩥ๪㢟㸪࿴ᩥⴭ⪅ྡ㸦఍ဨ㈨᱁㸪ⴭ⪅ྡ㸪ᡤᒓࡢ␎グ㸧㸪ⱥᩥⴭ⪅ྡ㸪ⱥᩥᡤᒓᶵ㛵࣭ᡤᅾᆅࡢ㡰࡟㸪ᖜ 140mm ࡟཰ࡲࡿࡼ࠺࡟ࣞ࢖࢔࢘ࢺࡋ࡚ࡃࡔࡉ࠸㸬㐃ྡ⪅ࡀ࠶ࡿሙྜ࡟ࡣ㸪ㅮ₇⪅ࡢ๓࡟㸨༳ࢆࡘࡅ㸪ⱥᩥࡢᡤᒓᶵ㛵࣭ᡤᅾᆅ࡟ࡘ࠸࡚ࡶୖ௜ࡁᩘᏐ࡛༊ูࡋ࡚ࡃࡔࡉ࠸㸬ఏ⇕ 2020 ᖺ 1 ᭶- 62 -J. HTSJ, Vol. 59, No. 246

࠾▱ࡽࡏ࢔ࣈࢫࢺࣛࢡࢺࡢ᭩ᘧ㸸࢔ࣈࢫࢺࣛࢡࢺࡣ⾲㢟㒊ศ࡟⥆ࡅ࡚㸪10 ࣏࢖ࣥࢺ᫂ᮅయࡢ 1 ẁ⤌ࡳ㸦1 ⾜ 50 Ꮠ⛬ᗘ㸧㸪1 ࣮࣌ࢪ 46 ⾜ࢆ┠Ᏻ࡜ࡋ࡚సᡂࡋ࡚ࡃࡔࡉ࠸㸬ᅗ⾲㸸 ᅗ⾲୰ࡢグྕ࠾ࡼࡧ࢟ࣕࣉࢩࣙࣥࡣⱥㄒ࡛᭩࠸࡚ࡃࡔࡉ࠸㸬࣮࢝ࣛ⾲♧ࡀྍ⬟࡛ࡍ㸬ᥖ㍕࡟࠶ࡓࡾ㸪
140 mmཎ✏ࡢ᭩ࡁ᪉㸦࿴ᩥ⾲㢟㸸*RWKLFSW㸧
06:RUGࡢሙྜ㸦࿴ᩥ๪㢟㸸*RWKLFSW㸧
Guide for the manuscripts (ⱥᩥ⾲㢟㸸Times New Roman 12pt)
The case of MS-Word (ⱥᩥ๪㢟㸸Times New Roman 12pt)(1 ⾜࠶ࡅࡿ)ఏṇ 㸨ఏ⇕ ኴ㑻㸦ఏ⇕኱㸧㸦఍ဨ㈨᱁ ⴭ⪅ྡ[ㅮ₇⪅࡟ࡣ㸨༳]㸦ᡤᒓ␎⛠㸧㸸᫂ᮅయ 12pt㸧
(1 ⾜࠶ࡅࡿ)Taro DENNETSU (ⱥᩥⴭ⪅ྡ㸸Times New Roman 10pt)
Dept. of Mech. Eng., Dennetsu Univ., 5-1-5, Kashiwanoha, Kashiwa, 277-8563(1 ⾜࠶ࡅࡿ)㸦ᩥ㢌࡟༙ゅࢫ࣮࣌ࢫ 5 ࡘࢆᤄධࡍࡿ㸧English abstract ...... 㸦ⱥᩥ࢔ࣈࢫࢺࣛࢡࢺ㸸Times New Roman 10pt, 100 ㄒ⛬ᗘ㸧
(1 ⾜࠶ࡅࡿ)Key Words: Heat Transfer 㸦ⱥᩥ࣮࣮࢟࣡ࢻ㸸Times New Roman 10pt, 3㹼5 ಶ⛬ᗘ㸧
(1 ⾜࠶ࡅࡿ)኱ぢฟࡋ
୰ぢฟࡋ ㅮ₇ㄽᩥཎ✏ࡣ A4 ࢧ࢖ࢬ࡛ཎ๎ 2㹼6 ࣮࣌ࢪ࡛ࡍ㸬ㅮ₇ㄽᩥࡢసᡂᵝᘧࡣ㸪1 ẁ⤌50 Ꮠ
46 ⾜࡜ࡋ㸪࣮࢝ࣛࡢ౑⏝ࡀྍ⬟࡛ࡍ㸬ࣇ࢓࢖ࣝᐜ㔞ࡣ᭱኱࡛ 2MB ࡲ࡛࡜ࡋ㸪࢔ࢽ࣓࣮ࢩࣙࣥࡣྵࡲ࡞
࠸ࡶࡢ࡜ࡋࡲࡍ㸬ձ ㅮ₇ㄽᩥࡢෑ㢌㒊ศ㸦⾲㢟㒊ศ࠾ࡼࡧᮏᩥ᭩ࡁฟࡋ㒊ศ㸧ࡢ᭩ᘧ
140 mmཎ✏ࡢ᭩ࡁ᪉㸦࿴ᩥ⾲㢟㸸*RWKLFSW㸧
06:RUGࡢሙྜ㸦࿴ᩥ๪㢟㸸*RWKLFSW㸧
Guide for the manuscripts (ⱥᩥ⾲㢟㸸Times New Roman 12pt)
The case of MS-Word (ⱥᩥ๪㢟㸸Times New Roman 12pt)(1 ⾜࠶ࡅࡿ)ఏṇ 㸨ఏ⇕ ኴ㑻㸦ఏ⇕኱㸧㸦఍ဨ㈨᱁ ⴭ⪅ྡ[ㅮ₇⪅࡟ࡣ㸨༳]㸦ᡤᒓ␎⛠㸧㸸᫂ᮅయ 12pt㸧
(1 ⾜࠶ࡅࡿ)Taro DENNETSU (ⱥᩥⴭ⪅ྡ㸸Times New Roman 10pt)
Dept. of Mech. Eng., Dennetsu Univ., 5-1-5, Kashiwanoha, Kashiwa, 277-8563(1 ⾜࠶ࡅࡿ)Key Words: Heat Transfer 㸦ⱥᩥ࣮࣮࢟࣡ࢻ㸸Times New Roman 10pt, 3㹼5 ಶ⛬ᗘ㸧
(1 ⾜࠶ࡅࡿ)ㅮ₇࢔ࣈࢫࢺࣛࢡࢺཎ✏ࡣ A4 ࢧ࢖ࢬ࡛ 1 ࣮࣌ࢪ࡛ࡍ㸬ㅮ₇ㄽᩥࡢసᡂᵝᘧࡣ㸪1 ẁ⤌50 Ꮠ46 ⾜࡜ࡋ㸪ཎ๎࡜ࡋ࡚❶࡛ศࡅࡿᚲせࡣ࠶ࡾࡲࡏࢇ㸬࣮࢝ࣛࡢ౑⏝ࡀྍ⬟࡛ࡍ㸬ࣇ࢓࢖ࣝࡢᐜ㔞ࡣ᭱኱࡛ 2MB
࡜ࡋ㸪࢔ࢽ࣓࣮ࢩࣙࣥࡣྵࡲ࡞࠸ࡶࡢ࡜ࡋࡲࡍ㸬ղ ㅮ₇࢔ࣈࢫࢺࣛࢡࢺࡢෑ㢌㒊ศ㸦⾲㢟㒊ศ࠾ࡼࡧᮏᩥ᭩ࡁฟࡋ㒊ศ㸧ࡢ᭩ᘧఏ⇕ 2020 ᖺ 1 ᭶- 63 -J. HTSJ, Vol. 59, No. 246

࠾▱ࡽࡏ௚ࡢᏛ⾡㞧ㄅ➼࡜ࡢ஧㔜ᢞ✏࡟࡞ࡽ࡞࠸ࡼ࠺࡟༑ศ࡟㓄៖ࡋ࡚ୗࡉ࠸㸬ཧ⪃ᩥ⊩㸸 ཧ⪃ᩥ⊩ࡣᮏᩥ୰ࡢᘬ⏝⟠ᡤࡢྑ⫪࡟ᑠᣓᘼࢆࡘࡅࡓ␒ྕ(1)࡛⾲ࡋ㸪ᮏᩥࡢᮎᑿ࡟ḟࡢࡼ࠺࡟ ࡲ࡜ࡵ࡚ิグࡋ࡚ࡃࡔࡉ࠸㸬(␒ྕ) ⴭ⪅ྡ㸪㞧ㄅ␎⛠㸪ᕳ-ྕ(Ⓨ⾜ᖺ)㸪ඛ㢌࣮࣌ࢪ␒ྕ㸬౛㸸(1) ఏ⇕࣭௚ 2 ྡ㸪ᶵㄽ(B), 12-345(2006), 1234.
ճ Full Size Manuscript
As shown in the square enclosure below, the manuscript is composed of a title, a subtitle, author names, affiliation
institutions, locations, abstract and keywords in order, lay out so that it fits within the width of 140 mm. If there are
multiple authors, please mark * in front of the speaker and distinguish the affiliation institution and address withsuperscripted numbers. Following the title part, please prepare the body as a guide with a single column of 10 point Times
New Roman, 46 lines per one page. Color display is possible. References should be indicated by numbers with brackets(1) on the right shoulder of cited parts in the text, and should be listed together at the end of the text as follows.
Example: (1) T. Dennetsu et al, J. Thermal Sci. Technol., 12-345(2018), 1234.
The template file of MS-Word format can be downloaded from the symposium's website.
մ Abstract Manuscript
As shown in the square enclosure below, the manuscript is composed of a title, a subtitle, author names, affiliation
institutions, locations and keywords in order, lay out so that it fits within the width of 140 mm. If there are multiple
authors, please mark * in front of the speaker and distinguish the affiliation institution and address with superscripted
numbers. Following the title part, please prepare the abstract as a guide with a single column of 10 point Times New
Roman, 46 lines per one page. Color display is possible. References should be indicated by numbers with brackets (1) on
the right shoulder of cited parts in the text, and should be listed together at the end of the text as follows.
Example: (1) T. Dennetsu et al, J. Thermal Sci. Technol., 12-345(2018), 1234.
The template file of MS-Word format can be downloaded from the symposium's website.
140 mmGuide for the manuscripts (Main title: Times New Roman 14pt)
The case of MS-Word (Subtitle: Times New Roman 12pt)(blank line)*Taro DENNETSU (Authors: Times New Roman 12pt, Mark “*” at the head of
speaker’s name)(blank line)
Dept. of Mech. Eng., Dennetsu Univ., 5-1-5, Kashiwanoha, Kashiwa, 277-8563 (Affiliations:Times New Roman 10pt)(blank line)
Abstract of approximate 100 words is written by Times New Roman 10pt. Five blankcharacters are inserted as the indent.
(blank line)
Key Words: Heat Transfer (Keywords: Times New Roman 10pt, 3 to 5 words)(blank line)
1. Headline
1.1 Crosshead The manuscript is provided only with an electronic manuscript. The manuscript needs 2 to 6 pagesof A4 size. The manuscript forms 1 column × 46 lines, and color can be used. The file size is limited to 2MB at the
maximum, and animations cannot be included.
ճ Format of English full size manuscript (title part and text export part).

ఏ⇕ 2020 ᖺ 1 ᭶- 64 -J. HTSJ, Vol. 59, No. 246࠾▱ࡽࡏ

140 mmGuide for the manuscripts (Main title: Times New Roman 14pt)
The case of MS-Word (Subtitle: Times New Roman 12pt)(blank line)*Taro DENNETSU (Authors: Times New Roman 12pt, Mark “*” at the head of
speaker’s name)(blank line)
Dept. of Mech. Eng., Dennetsu Univ., 5-1-5, Kashiwanoha, Kashiwa, 277-8563 (Affiliations:Times New Roman 10pt)(blank line)
Key Words: Heat Transfer (Keywords: Times New Roman 10pt, 3 to 5 words)(blank line)
The manuscript is provided only with an electronic manuscript. The manuscript needs 1 page of A4 size. Chapters
are not necessary. The manuscript forms 1 column × 46 lines, and color can be used. The file size is limited to 2MB at
the maximum, and animations cannot be included.
մ Format of English abstract manuscript (title part and text export part).
࠙ࡈὀពࠚ
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➨ 57 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ᐇ⾜ጤဨ఍஦ົᒁ
㔠ἑ኱Ꮫ ⌮ᕤ◊✲ᇦ ᶵᲔᕤᏛ⣔ෆE-mail㸸symp2020@htsj-conf.org, FAX㸸076-234-4743
࣮࣒࣮࣍࣌ࢪ URL: https://htsj-conf.org/symp2020/ఏ⇕ 2020 ᖺ 1 ᭶- 65 -J. HTSJ, Vol. 59, No. 246࠾▱ࡽࡏඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹㸦➨  ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘㸧࡟ࡘ࠸࡚
᪥ᮏఏ⇕Ꮫ఍ Ꮫ⏕఍ጤဨ఍ጤဨ㛗 ᕴ ࿴ஓ➨ 57 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࡛࢘ࡣ㸪ୗグࡢせ㡿࡛㸪ⱝᡭ◊✲⪅࠾ࡼࡧᏛ⏕ࢆᑐ㇟࡜ࡋࡓඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩ
ࣙࣥ㈹ࢭࢵࢩࣙࣥࢆタࡅࡲࡍ㸬᪥㡭ࡢ◊㛑ࡢᡂᯝࢆᢨ㟢ࡍࡿࢳࣕࣥࢫ࡜ࡋ࡚㸪ዧࡗ࡚ࡈᛂເୗࡉ࠸㸬㛤  ദ  ᪥㸸 ௧࿴ 2 ᖺ 6 ᭶ 3 ᪥㸦Ỉ㸧 ࢩ࣏ࣥࢪ࣒࢘➨ 1 ᪥Ⓨ ⾲ ᙧ ᘧ㸸 Ⓨ⾲⪅ 1 ྡ࠶ࡓࡾ㸪Ⓨ⾲ෆᐜࢆࡲ࡜ࡵࡓ 1 ᯛࡢ࢔ࣆ࣮ࣝࢫࣛ࢖ࢻᥦฟ࡜࣏ࢫࢱ࣮ࣉࣞࢮࣥ
ࢸ࣮ࢩࣙࣥࢆ⾜࠺ᙧᘧࢆ࡜ࡿணᐃ࡛ࡍ㸬࢔ࣆ࣮ࣝࢫࣛ࢖ࢻࡣ෉Ꮚయ࡜ࡋ࡚㓄ᕸࡉࢀࡿ࡜ඹ
࡟ࢫࣛ࢖ࢻࢩ࣮ࣙ࡜ࡋ࡚఍ሙ࡟࡚᱌ෆࡉࢀࡿணᐃ࡛ࡍ㸬ヲ⣽࡟ࡘ࠸࡚ࡣ㸪Ỵᐃࡋḟ➨㸪ࢩ࣏ࣥࢪ࣒࢘ࡢ࣮࣒࣮࣍࣌ࢪ࡟ᥖ㍕࠸ࡓࡋࡲࡍ㸬ᑐ     ㇟㸸 ௻ᴗ࣭኱Ꮫ࣭◊✲ᶵ㛵➼ࡢᢏ⾡⪅࣭◊✲⪅࡛㸪௧࿴ 2 ᖺ 3 ᭶ 31 ᪥⌧ᅾ࡛ 28 ṓ௨ୗࡢ᪉㸪ࡲࡓࡣ㸪⏦㎸ᙜ᪥࡟Ꮫ⏕࡛࠶ࡿ᪉㸬ᛂ ເ ㈨ ᱁㸸 Ⓨ⾲⪅ࡣ᪥ᮏఏ⇕Ꮫ఍ࡢ఍ဨ㸦ṇဨ࣭Ꮫ⏕ဨ㸧࡟㝈ࡾࡲࡍ㸬Ⓨ⾲⪅ࡀ᪥ᮏఏ⇕Ꮫ఍఍ဨ࡛
࡞࠸ሙྜࡣ㸪ㅮ₇ㄽᩥཎ✏ᥦฟࡲ࡛࡟㸪఍ဨ⏦ࡋ㎸ࡳࢆ⾜ࡗ࡚ࡃࡔࡉ࠸㸬࡞࠾㸪ᮏࢭࢵࢩ
࡛ࣙࣥⓎ⾲ࡍࡿ᪉ࡣ㸪ᛂເ㈨᱁ࢆᚲࡎ‶ࡓࡍᚲせࡀ࠶ࡾࡲࡍ㸬ࡲࡓ㸪㐣ཤ࡟ᮏ㈹ࢆཷ㈹ࡉ
ࢀࡓ᪉ࡣᛂເࡍࡿࡇ࡜ࡣ࡛ࡁࡲࡏࢇ㸬ᛂ ເ ௳ ᩘ㸸 ኱Ꮫ࡟ᡤᒓࡍࡿᏛ⏕ࡢሙྜ㸸ᣦᑟᩍဨ࠶ࡓࡾ 1 ྡ㸦1 ௳㸧኱Ꮫ௨እࡢ◊✲ᶵ㛵㸪௻ᴗ࡟ᡤᒓࡍࡿሙྜ㸸◊✲ࢢ࣮ࣝࣉ࠶ࡓࡾ 1 ྡ㸦1 ௳㸧࡜ࡋࡲࡍ㸬ᛂ ເ ᪉ ἲ㸸 ➨ 57 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘Ⓨ⾲⏦㎸᫬࡟㸪ᮏㄅᥖ㍕ࡢ◊✲Ⓨ⾲⏦㎸᪉ἲ࡟ᚑࡗ࡚㸪͆ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹͇ࢆ㑅ᢥࡋ㸪͆ᣦᑟᩍဨࡲࡓࡣ◊✲ࢢ࣮ࣝࣉ㛗➼͇ࢆධຊࡋ࡚ࡃ
ࡔࡉ࠸㸬࡞࠾㸪ㅮ₇ㄽᩥཎ✏ࡢᵝᘧ࡟ࡘ࠸࡚ࡣ୍⯡ࢭࢵࢩࣙࣥ࡜ྠᵝࡢࡶࡢ࡜ࡋࡲࡍ㸬ᑂᰝ࣭㑅⪃᪉ἲ㸸 」ᩘྡࡢᑂᰝဨ࡟ࡼࡿホ౯࡟ᇶ࡙࠸࡚㑅⪃ࡋ㸪ཷ㈹⪅ࢆỴᐃࡋࡲࡍ㸬⾲     ᙲ㸸 ཷ㈹⪅ࡣࢩ࣏ࣥࢪ࣒࢘➨ 2 ᪥ࡢᏛ఍⥲఍࡛⾲ᙲࡉࢀࡲࡍ㸬ఏ⇕ 2020 ᖺ 1 ᭶- 66 -J. HTSJ, Vol. 59, No. 246

஦ົᒁ࠿ࡽࡢ㐃⤡⦅㞟ฟ∧㒊఍࠿ࡽࡢ࠾▱ࡽࡏ୍ྛ✀⾜஦࣭ᗈ࿌࡞࡝ࡢᥖ㍕࡟ࡘ࠸࡚࣮
࢖ࣥࢱ࣮ࢿࢵࢺࡢᬑཬ࡟ࡼࡾ᝟ሗⓎಙ࣭஺᥮⬟ຊࡢẚ㢮࡞࠸㐍ᒎࡀࡶࡓࡽࡉࢀࡲࡋࡓ㸬୍᪉㸪ࣁ࣮ࢻࢥࣆ࣮࡜ࡋ࡚ࡢᏛ఍ㄅ࡟ࡣ㸪࢔࣮࢝࢖ࣈⓗ࡞౯್ࡢ࠶ࡿෆᐜࢆᡭ࡟࡜ࡗ࡚⇍ㄞ࡛ࡁࡿⅬࡸ㸪୍㐃ࡢ࣮࣌ࢪࢆ═ࡵ࡚඲ㇺࡀᐜ᫆࡟⌮ゎ࡛ࡁࡿⅬ࡞࡝㸪࠸ࡃࡽ㟁Ꮚ፹యࡀⓎ㐩ࡋ࡚ࡶ࠿࡞ࢃ࡞࠸㛗ᡤࡀ࠶ࡿࡢ࡛ࡣ࡞࠸࠿࡜ᛮ࠸ࡲࡍ㸬ࡓࡔࡋ㸪Ꮫ఍ㄅࡢ༳ๅ࣭Ⓨ㏦࡟ࡣከ㢠ࡢ⤒㈝ࡶక࠸ࡲࡍࡢ࡛㸪ᙜ㒊఍࡛ࡣࡇࡢ࡯࡝㸪ᐦᗘࡢࡼࡾ㧗࠸ㄅ㠃㸪ࡍ࡞ࢃࡕࣁ࣮ࢻࢥࣆ࣮࡜ࡋ࡚ࡐࡦ࡜ࡶṧࡍ࡭ࡁෆᐜࢆཝ㑅ࡋ㸪࢖ࣥࢱ࣮ࢿࢵࢺ㸦HP㸸࣮࣒࣮࣍࣌ࢪ㸪ML㸸࣓࣮ࣜࣥࢢࣜࢫࢺ㸧࡛ᢅ࠺᝟ሗ࡜ࡢ᳇ࡳศࡅࢆࡋࡓ⦅㞟᪉㔪ࢆ᳨ウ࠸ࡓࡋࡲࡋࡓ㸬ࡇࡢ⤖ᯝ㸪ࡇࢀࡲ࡛఍࿌࣮࣌ࢪ࡛ྲྀࡾᢅࡗ࡚ࡁࡓྛ✀⾜஦࣭ᗈ࿌࡞࡝ࡢᥖ㍕࡟ࡘࡁ㸪௨ୗࡢࡼ࠺࡞
᪉㔪࡛ᑐᛂࡉࡏ࡚࠸ࡓࡔࡁࡓࡃ㸪ࡈ⌮ゎ࡜ࡈ༠ຊࢆ࠾㢪࠸ࡍࡿḟ➨࡛ࡍ㸬



ᑐ㇟

ᑐᛂ

ᮏ఍㸦ᨭ㒊㸧୺ ↓ ᮲ ௳ ࡛ ヲ ⣽ ࢆ 㸪 ఍ ㄅ ࡜ദ࡟ࡼࡿ⾜஦
HP ࡟ᥖ㍕㸪ML ࡛ࡶ㓄ಙ㛵ಀᏛ఍ࡸᮏ఍ ᮲௳௜ࡁᥖ㍕఍ဨࡀ㛵ಀࡍࡿ ఍ㄅ㸸1 ௳ᙜࡓࡾ 4 ศࡢ l ࣮࣌ࢪ⛬ᗘ࡛ᥖ㍕㸦↓ᩱ㸧⤌⧊࡟ࡼࡿᅜෆእࡢ఍㆟࣭ HP㸸⾜஦࢝ࣞࣥࢲ࣮࡟ᥖ㍕ࢩ࣏ࣥࢪ࣒࣭࢘
ࡋࣜࣥࢡᙧᡂ㸦↓ᩱ㸧ࢭ࣑ࢼ࣮ML㸸᮲௳௜ࡁ㓄ಙ㸦↓ᩱ㸧኱Ꮫࡸබⓗ◊✲ᶵ㛵ࡢே஦
఍ㄅ㸸ᥖ㍕ࡏࡎ
බເ㸦ఏ⇕࡟
HP㸸᮲௳௜ࡁᥖ㍕ 㸦↓ᩱ㸧㛵ಀࡢ࠶ࡿศ
ML㸸᮲௳௜ࡁ㓄ಙ㸦↓ᩱ㸧
㔝࡟㝈ࡿ㸧

୍⯡ᗈ࿌
ồேᗈ࿌

ලయⓗ࡞ᡭ⥆ࡁ㸦㟁Ꮚ࣓࣮࡛ࣝࡢ㐃⤡ࢆ๓ᥦ࡜ࡋ࡚࠸ࡲࡍ㸧⏦㎸⪅ࡣ㸪グ஦ࢆ⥲ົᢸᙜ๪఍㛗⿵బ༠㆟ဨ㸦ML ᢸᙜ㸧㸪ᗈሗጤဨ఍ጤဨ㛗㸦HP ᢸᙜ㸧࠶ࡿ࠸ࡣ⦅㞟ฟ∧㒊఍㛗㸦఍ㄅᢸᙜ㸧࡬㏦ಙࡋ࡚ࡃࡔࡉ࠸㸬⏦㎸⪅ࡣ㸪ࡲࡎෆᐜࢆㄝ᫂ࡍࡿ㈨ᩱࢆ⥲ົᢸᙜ๪఍㛗⿵బ༠㆟ဨ࡟㏦ಙࡋ࡚ࡃࡔࡉ࠸㸬ᑂ㆟ࡢ⤖ᯝ㸪ᥖ㍕ྍ࡜࡞ࡗࡓ
ሙྜ࡟ࡣ⥲ົᢸᙜ๪఍㛗⿵బ༠㆟ဨࡼࡾ⏦㎸⪅࡟ࡑࡢ᪨㏻▱ࡋࡲࡍࡢ࡛㸪⏦㎸⪅ࡣグ஦ࢆ⦅㞟ฟ∧㒊఍㛗㸦఍ㄅᢸᙜ㸧࡜ᗈሗጤဨ఍ጤဨ㛗㸦HP ᢸᙜ㸧࡟㏦ಙࡋ࡚ࡃࡔࡉ࠸㸬⏦㎸⪅ࡣ㸪බເෆᐜࢆㄝ᫂ࡍࡿ㈨ᩱࢆ⥲ົᢸᙜ๪఍㛗⿵బ༠㆟ဨ࡟㏦ಙࡋ࡚ࡃࡔࡉ࠸㸬ᑂ㆟ࡢ⤖ᯝ㸪ᥖ㍕ྍ࡜࡞ࡗࡓ
ሙྜ࡟ࡣ⥲ົᢸᙜ๪఍㛗⿵బ༠㆟ဨࡼࡾ⏦㎸⪅࡟ࡑࡢ᪨㏻▱ࡋࡲࡍࡢ࡛㸪⏦㎸⪅ࡣグ஦ࢆᗈሗጤဨ఍ጤဨ㛗㸦HP ᢸᙜ㸧࡟㏦ಙࡋ࡚ࡃࡔࡉ࠸㸬⏦㎸⪅ࡣ㸪⦅㞟ฟ∧㒊఍㛗㸦఍ㄅᢸᙜ㸧ࡲࡓࡣᗈሗጤဨ఍
ጤဨ㛗㸦HP ࣂࢼ࣮ᗈ࿌ᢸᙜ㸧࡟ᗈ࿌ෆᐜࢆ㏦ಙࡋ࡚ࡃࡔࡉ
࠸㸬ᥖ㍕ྍ࡜࡞ࡗࡓሙྜ࡟ࡣ⦅㞟ฟ∧㒊఍㛗ࡲࡓࡣᗈሗጤ
఍ㄅ㸸᮲௳௜ࡁᥖ㍕㸦᭷ᩱ㸧ဨ఍ጤဨ㛗ࡼࡾ⏦㎸⪅࡟ࡑࡢ᪨㏻▱ࡋࡲࡍࡢ࡛㸪⏦㎸⪅ࡣHP㸸᮲௳௜ࡁᥖ㍕ཎ✏ࢆ⦅㞟ฟ∧㒊఍㛗ࡲࡓࡣᗈሗጤဨ఍ጤဨ㛗࡟㏦ಙࡋ࡚㸦ࣂࢼ࣮ᗈ࿌ࡢࡳ㸪᭷ᩱ㸧ࡃࡔࡉ࠸㸬ᥖ㍕ᩱᨭᡶ࠸ᡭ⥆ࡁ࡟ࡘ࠸࡚ࡣ஦ົᒁ࠿ࡽࡈ㐃⤡࠸ࡓࡋࡲࡍ㸬ࣂࢼ࣮ᗈ࿌ࡢྲྀࡾᢅ࠸࡟ࡘ࠸࡚ࡣ
http://www.htsj.or.jp/wp/media/36banner.pdf ࢆࡈཧ↷ୗࡉ࠸㸬



࠙㐃⤡ඛࠚ
࣭⥲ົ㒊఍㛗㸸ᮧ⏣ ❶㸦ᮾி㎰ᕤ኱Ꮫ㸧㸸murata@mmlab.mech.tuat.ac.jp࣭⦅㞟ฟ∧㒊఍㛗㸸୰ᮧ ඖ㸦㜵⾨኱Ꮫᰯ㸧㸸nhajime@nda.ac.jp࣭ᗈሗጤဨ఍ጤဨ㛗㸸␊ᒣ཭⾜㸦ᐩᒣ┴❧኱Ꮫ㸧㸸hatake@pu-toyama.ac.jp࣭⥲ົᢸᙜ๪఍㛗⿵బ༠㆟ဨ㸸ᮧୖ㝧୍㸦ᮾிᕤᴗ኱Ꮫ㸧㸸general-affairs@htsj.or.jp࣭஦ົᒁ㸸኱⃝Ẏኈ࣭ᮧᯇెᏊ࣭ᒣ⏣㯞Ꮚ㸸office@htsj.or.jp࠙ὀពࠚ࣭ཎ✏ࡣ Word ࣇ࢓࢖ࣝࡲࡓࡣ Text ࣇ࢓࢖࡛ࣝ࠾㢪࠸ࡋࡲࡍ㸬࣭HP ࡣ࣓ࣥࢸࢼࣥࢫࡢ㒔ྜୖ㸪ᥖ㍕ࡣ⏦㎸᭶ࡢ⩣᭶㸪ࡲࡓ๐㝖ࡶᕼᮃᥖ㍕ᮇ㝈ࡢ⩣᭶⛬ᗘࡢ᫬㛫㐜ࢀࡀ࠶ࡿࡇ࡜ࢆࡈ஢ᢎ㢪࠸ࡲࡍ㸬࣭ML ࡛ࡣ㸪ཎ๎࡜ࡋ࡚ࢸ࢟ࢫࢺᩥࡢ㏦ಙ࡜࡞ࡾࡲࡍ㸬pdf ➼ࡢῧ௜ࣇ࢓࢖࡛ࣝ㏦ಙࢆᕼᮃࡉࢀࡿሙྜ
ࡣࡈ┦ㄯࡃࡔࡉ࠸㸬ఏ⇕ 2020 ᖺ 1 ᭶- 67 -J. HTSJ, Vol. 59, No. 246

⦅㞟ฟ∧㒊఍ࣀ࣮ࢺ
Note from the JHTSJ Editorial Board ᮏ≉㞟࡛ࡣࠕ᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ ̿ᇶ♏◊✲࡜ᐇ⏝໬ࡢ㐍ᒎ̿㸦Evaluation and Reduction of Thermal
Contact Resistance ̿ Progress in Basic Research and Practical Application ̿㸧ࠖࢆࢸ࣮࣐࡟㸪6 ௳ࡢࢺࣆࢵࢡࢫ
࡟ࡘ࠸࡚ࡈᐤ✏࠸ࡓࡔࡁࡲࡋࡓ㸬ᐩᒣ┴❧኱Ꮫࡢ␊ᒣ཭⾜Ặ࡜ර⸨ᩥ⣖Ặ࡟ࡣ㸪㟁Ꮚᶵჾ࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠࡢண࡜᥋ゐ㠃࡛ࡢ⇕⦰ὶࡢᙳ㡪࡟ࡘ࠸࡚ࡈ⤂௓࠸ࡓࡔࡁࡲࡋࡓ㸬᥋ゐ⇕᢬ᢠࡣ㟁Ꮚᶵჾࡢᨺ⇕࡟࠾ࡅࡿ㞀ᐖ࡛࠶ࡿ୍᪉࡛㸪㟁Ꮚᶵჾࢆタィࡍࡿ㝿ࡢ

ᗘண࡟࠾࠸࡚ࡶ኱ࡁ࡞㞀ᐖ࡜࡞ࡗ࡚࠸ࡲࡍ㸬ᩘ್ゎᯒ࡞࡝ࢆ⏝࠸࡚ᶵჾࡢ

ᗘࢆண

ࡍࡿ

㝿㸪ᶵჾࢆᵓᡂࡍࡿ㟁Ꮚ㒊ရ࡞࡝ࡢෆ㒊࡟㛵ࡋ࡚ࡣ㸪⇕ఏᑟ⋡࡞࡝ࡢ≀ᛶ್ࢆධຊࡍࡿࡇ࡜ࡀྍ⬟࡛ࡍࡀ㸪᥋ゐ⇕᢬ᢠࡣ㒊ရྠኈࡢ᥋ゐ≧ែ࡟ࡼࡗ࡚ኚ໬ࡋ࡚ࡋࡲ࠺ࡓࡵ㸪ᐇ㝿࡟ᶵჾ࡛฼⏝ࡍࡿ㝿࡜ྠࡌ᥋ゐ≧ែࢆ෌⌧ࡋ࡚ィࡍࡿ࡞࡝㸪࡞ࢇࡽ࠿ࡢᙧ࡛ィࡍࡿᚲせࡀ⏕ࡌࡲࡍ㸬ࡇࡇ࡛ࡣ㸪᥋ゐ⇕᢬ᢠࡢண࡟㛵ࡍࡿ᳨ウ஦౛ࡀ♧ࡉࢀ࡚࠸ࡲࡍ㸬 ኱㜰ᗓ❧኱Ꮫࡢྜྷ⏣⠜ṇẶ࡜ຍ㈡⏣⩧Ặ࡟ࡣ㸪㠀ᐃᖖἲ࡟ࡼࡿ᥋ゐ⇕᢬ᢠࡢᐃ࡜ホ౯࡟ࡘ࠸࡚ࡈ⤂௓࠸ࡓࡔࡁࡲࡋࡓ㸬ࡇࡇ࡛ࡣ㸪ప᥋ゐᅽຊୗ࡟࠾࠸࡚㸪ᚑ᮶౑⏝ࡉࢀ࡚࠸ࡿ TIM ࢆྵࡵ㸪㧗 ࣭㧗⇕ὶ᮰ୗ࡛ࡢ
౑⏝ࡀᮇᚅࡉࢀࡿ㖟࣮࣌ࢫࢺࢆ᥇⏝ࡋࡓሙྜࡢ᥋ゐ⇕᢬ᢠపῶຠᯝࢆᐇ㦂ⓗ࡟ホ౯ࡉࢀ࡚࠸ࡲࡍ㸬≉࡟㸪஧ࡘࡢ㔠ᒓࢆ᥋ゐࡉࡏࡓヨᩱ࡟ᑐࡋ࡚㸪᥋ゐᅽຊ㸪᥋ゐ㠃ࡢ⾲㠃⢒ࡉ㸪᥋ゐ㠃࡬ࡢ᥋ゐᮦᤄධࡢ᭷↓ࢆࣃ࣓࣮ࣛࢱ࡜ࡋࡓ ᐃࡀ⾜ࢃࢀ㸪ග㡢㡪ἲ࡟ࡼࡿ᥋ゐ⇕᢬ᢠࡢホ౯ࡀヨࡳࡽࢀ࡚࠸ࡲࡍ㸬 ᒣཱྀᮾி⌮⛉኱Ꮫࡢᮌఅ⌮ἋᏊẶ࡟ࡣ㸪㧗⇕ὶ᮰⎔ቃୗ࡟࠾ࡅࡿ TIM ཬࡧ᥋ゐᅽຊ༳ຍ࡟ࡼࡿ᥋ゐ⇕᢬ᢠపῶຠᯝࡢ᳨ド࡟ࡘ࠸࡚ࡈ⤂௓࠸ࡓࡔࡁࡲࡋࡓ㸬ḟୡ௦ࣃ࣮༙࣡ᑟయࢆᦚ㍕ࡋࡓ㟁Ꮚᶵჾ࡟㐺⏝ࡉࢀࡿ
Thermal Interface Material㸦TIM㸧࡟ࡘ࠸࡚ࡣ㸪㧗࠸⪏⇕ᛶࡀᚲせ࡜࡞ࡿࡓࡵ㸪ᚑ᮶ရ࡜ࡣ␗࡞ࡿ TIM ࢆ㐺⏝ࡍࡿࡇ࡜ࡀᚲせ࡟࡞ࡾࡲࡍ㸬ࡇࡇ࡛ࡣ㸪ప᥋ゐᅽຊୗ࡟࠾࠸࡚㸪ᚑ᮶౑⏝ࡉࢀ࡚࠸ࡿ TIM ࢆྵࡵ㸪㧗 ࣭㧗⇕ὶ᮰ୗ࡛ࡢ౑⏝ࡀᮇᚅࡉࢀࡿ㖟࣮࣌ࢫࢺࢆ᥇⏝ࡋࡓሙྜࡢ᥋ゐ⇕᢬ᢠపῶຠᯝࡀᐇ㦂ⓗ࡟ホ౯ࡉࢀ࡚࠸ࡲࡍ㸬ᰴᘧ఍♫ࢹࣥࢯ࣮ࡢ⠛⏣༟ஓẶ࡜ᰴᘧ఍♫࣓࢖ࢸࢵࢡࡢᏳ஭㱟ኴẶ࡟ࡣ㸪㟁Ꮚᶵჾ࡟࠾ࡅࡿ᥋ゐ⇕᢬ᢠࡢపῶᢏ⾡࡟ࡘ࠸࡚ࡈ⤂௓࠸ࡓࡔࡁࡲࡋࡓ㸬㟁Ꮚᶵჾࡢ⟂య࡟࠾࠸࡚ࡣ㸪」ᩘࡢ⟠ᡤࢆࡡࡌ⥾⤖ࡍࡿࡇ࡜ࡀ୍
⯡ⓗ࡛࠶ࡾ㸪2 Ⅼ௨ୖࡢࡡࡌ㛫࡛Ⓨ⏕ࡍࡿ࠺ࡡࡾࢆ⪃៖ࡋࡓタィࡀᚲせ࡜࡞ࡗ࡚ࡁࡲࡍ㸬ࡇࡇ࡛ࡣ㸪ᚲ↛ⓗ࡟Ⓨ⏕ࡍࡿࡡࡌ⥾⤖࡟ࡼࡿ࠺ࡡࡾࢆᕦࡃ฼⏝ࡋ㸪⟂యᙧ≧࡟ᕤኵࢆจࡽࡍࡇ࡜࡛᥋ゐ⇕᢬ᢠࢆపῶࡍࡿ⬟ືⓗ࡞ᡭἲ࡟ࡘ࠸᳨࡚ドࡉࢀ࡚࠸ࡲࡍ㸬 KOA ᰴᘧ఍♫ࡢ㟷ᮌὒ⛱࡟ࡣ㸪ᅽຊ ᐃࣇ࢕࣒ࣝࢆ฼⏝ࡋࡓ᥋ゐ⇕᢬ᢠࡢホ౯᪉ἲ࡟ࡘ࠸࡚ࡈ⤂௓࠸ࡓࡔࡁࡲࡋࡓ㸬᥋ゐ⇕᢬ᢠ࡟ࡘ࠸࡚ࡣ㸪᥋ゐ㠃࡟ᨺ⇕ࢢ࣮ࣜࢫ࡞࡝ࡢ Thermal Interface Material㸦TIM㸧ࢆሬᕸࡍࡿࡇ࡜࡛㸪㏻ᖖࡑࡢ್ࡢపῶࡀᅗࡽࢀࡲࡍࡀ㸪ࢥࢫࢺ๐ῶࡸࢢ࣮ࣜࢫࡢ⤒ᖺຎ໬࡞࡝ࡢ⌮⏤࠿ࡽᨺ⇕ࢢ࣮ࣜࢫࢆ౑ࢃ࡞࠸タィࡢせᮃࡶฟ࡚ࡁ࡚࠸ࡲࡍ㸬ࡇࡢࢢ࣮ࣜࢫࣞࢫ᥋ゐ࡟࠾ࡅࡿ⇕᢬ᢠࡣ㸪㒊ᮦࡢ⾲㠃⢒ࡉࡸ࠺ࡡࡾ㸪᥋ゐᅽຊ࡞࡝ࡢᙳ㡪ࢆཷࡅࡿࡓࡵ㸪ࡑࡢᐃ㔞໬ࡣ㞴ࡋࡃ㸪⇕タィࢆ⾜࠺㝿ࡢㄢ㢟࡟࡞ࡗ࡚࠸ࡲࡍ㸬ࡇࡇ࡛ࡣ㸪ࢢ࣮ࣜࢫࣞࢫ᥋ゐ㠃ࡢ⇕᢬ᢠࢆᐃ㔞໬ࡍࡿࡓࡵ࡟㸪ᅽຊᐃࣇ࢕࣒ࣝࢆ฼⏝ࡋࡓ᪂ࡋ࠸ホ౯ᡭἲࡢ㛤Ⓨࡀヨࡳࡽࢀ࡚࠸ࡲࡍ㸬 㔠ἑᕤᴗ኱Ꮫࡢ⚟Ụ㧗ᚿẶ࡟ࡣ㸪ឤ⇕༳ๅࣉࣟࢭࢫ࡟ᙳ㡪ࡍࡿ᥋ゐ⇕᢬ᢠࡢホ౯࡟ࡘ࠸࡚ࡈ⤂௓࠸ࡓࡔࡁ
ࡲࡋࡓ㸬᥋ゐ⇕᢬ᢠࡀ౑⏝⪅ࡢ‶㊊ᗘ࡟┤᥋ⓗ࡟ᙳ㡪ࡍࡿ࢔ࣉࣜࢣ࣮ࢩࣙࣥࡢ஦౛࡜ࡋ࡚㸪ឤ⇕༳ๅ㸦Direct
Thermal Printing : DTP㸧ࡀ࠶ࡾࡲࡍ㸬ࡇࡇ࡛ࡣ㸪≉࡟ឤ⇕༳ๅ࡟࠾࠸࡚Ⓨ⏕ࡍࡿ᥋ゐ⇕᢬ᢠࡢᙳ㡪ᗘࢆ㸪ᵓ᝿タィẁ㝵࡟࠾࠸࡚ᶵ⬟࡛ࣞ࣋ࣝホ౯ุ࣭᩿࡛ࡁࡿタィᣦᶆࡢ⋓ᚓࢆ┠ᣦࡋࡓ◊✲஦౛ࡀ♧ࡉࢀ࡚࠸ࡲࡍ㸬ఏ⇕ 2020 ᖺ 1 ᭶- 71 -J. HTSJ, Vol. 59, No. 246

 ௨ୖ㸪ࡇࢀࡽࡢ 6 ௳ࡢࢺࣆࢵࢡࢫࢆ㏻ࡌ࡚㸪ᡃࡀᅜ࡟࠾ࡅࡿ᭱᪂ࡢ᥋ゐ⇕᢬ᢠࡢホ౯࡜పῶ࡟㛵ࡍࡿᇶ♏
◊✲࡜ᐇ⏝໬ࡢ㐍ᒎࡀㄞ⪅ࡢⓙᵝ࡟࿡ࢃࡗ࡚࠸ࡓࡔࡅࡿࡢ࡛ࡣ࡞࠸࠿࡜ᛮ࠸ࡲࡍ㸬ࡈከᛁࡢ࡞࠿㸪ࡈᐤ✏࠸ࡓࡔࡁࡲࡋࡓᇳ➹⪅ࡢⓙᵝ࡟ཌࡃ࠾♩⏦ࡋୖࡆࡲࡍ㸬ᐩᮧ ᑑኵ㸦ඖ⇃ᮏ኱Ꮫ㸧
Toshio TOMIMURA (Ex Kumamoto University)e-mail: tomi.sapporo65@gmail.com௻⏬࣭⦅㞟ฟ∧ᢸᙜ๪఍㛗

㡲㈡ ୍ᙪ㸦኱㜰ᗓ❧኱Ꮫ㸧⦅㞟ฟ∧㒊఍㛗୰ᮧ ඖ㸦㜵⾨኱Ꮫᰯ㸧

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ఏ⇕ 2020 ᖺ 1 ᭶- 72 -J. HTSJ, Vol. 59, No. 246