ながれ43（2024）9−15

9〔特集〕乗り物にまつわる流体力学：最近のトピックߤۭ‫ػ‬ͷઃ‫ྲྀͱܭ‬Ε౦๺େֶɹྲྀମՊֶ‫ॴڀݚ‬Ѩɹ෦ɹ‫ܓ‬ɹߊ ∗Aircraft Design and Fluid Dynamics
Yoshiaki Abe, Institute of Fluid Science, Tohoku University∗

1

E-mail: yoshiaki.abe@tohoku.ac.jp

ྗ D ͸ɼ‫ػ‬ମॏྔ W ɾਪྗ T ͱͦΕͧΕ௼Γ߹͏ɽ·͕͖͑ʮߤۭ‫ػ‬ʯͱ͍͏୯‫ޠ‬ͷҙຯ͢Δൣғ͸޿͘ɼ‫ٿؾ‬΍άϥΠμʔɼϔϦίϓλʔͳͲͷճసཌྷ‫ػ‬΋‫ؚ‬ΉɼۭඈͿ‫ػ‬ցશൠΛࢦ͢‫ݴ‬༿Ͱ͋Δɽͨͩɼߤۭ‫ػ‬ͷྲྀΕͱฉ‫ػ‬ମॏྔ W ʹ͸೩ྉ͕‫·ؚ‬ΕΔͨΊɼ࣌ʑࠁʑͱॏ
ྔ͕‫͍ͯͬ͘ݮ‬ɽ८ߤத͸ॏྔͷ‫ݮ‬গ཰͕ਪྗ T ʹൺྫʢൺྫఆ਺͸ CT ʣ͠ɼ༲߅ൺ L/D ͕ҰఆͱԾఆ͢
Δͱɼ

͍ͯɼଟ͘ͷํ͸·ͣେ‫ཱྀܕ‬٬‫ػ‬ͷඈߦ࣌ʹੜ͡Δ‫ػ‬ମdW
D= −CT T = −CT W
dtLपΓͷྲྀΕΛ૝૾͢ΔͷͰ͸ͳ͔Ζ͏͔ɽ๯಄͔ΒܾΊ͚ͭͯ͠·͍‫ڪ‬ॖͰ͸͋Δ͕ɼචऀͷ‫ݶ‬ΒΕͨ஌ࣝൣғͱࢴ໘ͷ౎߹͔ΒɼຊߘͰ͸େ‫ཱྀܕ‬٬‫ػ‬ʢ۩ମతʹ͸ɼ100 ਓҎ্ͷཱྀ٬Λ༌ૹՄೳͳભԻ଎‫ݻ‬ఆཌྷ‫ػ‬ʣΛର৅ͱ͠ɼͦͷपลͷ਺஋ղੳٕज़Λத৺ʹղઆΛࢼΈ

(1)

ͱॻ͚Δɽͳ͓ɼ८ߤ࣌ʹ͸ T = D ͱ W = L ͕੒ཱ͢Δ͜ͱ΋༻͍ͨɽ८ߤ଎౓Λ VC ɼඈߦ࣌ؒΛ tf − tiͱ͢Δͱɼߤଓ‫ ཭ڑ‬RC ͸ҎԼͷΑ͏ʹॻ͚Δɽ͍ͨɽ

Rc = VC (tf − ti ) =

Wi
VC L
ln
C T D Wf

(2)

Wi/f ͸ඈߦલ‫ޙ‬ͷ‫ػ‬ମॏྔͰ͋Δɽࣜ (2) ͸ Bréguet ͷࣜ 1) ͱ‫ݺ‬͹Εɼࡉ͔ͳద༻ੑʹٞ࿦ͷ༨஍͸͋Δ΋ͷͷɼ‫ػ‬ମઃ‫ʹܭ‬ॏཁͳཁૉ͕‫·ؚ‬Ε͍ͯΔɽྫ͑͹ۭྗઃ‫Ͱܭ‬༲߅ൺΛେ͖͘͢Δ͜ͱͱɼߏ଄ઃ‫ػͰܭ‬ମॏྔΛখ͘͢͞Δ͜ͱ͸ɼ྆ํͱ΋ߤଓ‫཭ڑ‬Λ૿΍͠ɼΑΓੑೳͷྑ͍‫ػ‬ମઃ‫͕ܨͱ΁ܭ‬ΔɽͦͷͨΊɼߤۭ‫ػ‬ͷ‫ػ‬ମઃ‫Ͱܭ‬͸ۭྗͱߏ଄Λಉ࣌ʹߟ͑Δ͜ͱ͕‫ۃ‬Ίͯॏ
ਤ1ཱྀ٬‫ػ‬ͷϑϥΠτΤϯϕϩʔϓ

ਤ 1 ͸ɼϑϥΠτΤϯϕϩʔϓͱ‫ݺ‬͹ΕΔཱྀ٬‫ػ‬ͷ

ཁͰ͋Δɽ

2

ߤۭ‫ػ‬ͷྲྀΕӡ༻ྖҬΛࣔ͢ਤͰ͋Δɽԣ࣠͸‫ػ‬ମͷ଎౓Λɼॎ࣠͸ͱ͸͍͑ɼ࠷ॳ͸ۭྗʹؔ͢Δ࿩୊͔Β࢝ΊΑ͏ɽओ‫ػ‬ମʹ͔͔Δՙॏഒ਺Λࣔ͢ɽՙॏഒ਺͸ॏྗͱ௼Γཌྷʹؔͯ͠͸ɼ·ͣ͸‫ػ‬ମॏྔΛࢧ͑Δ͚ͩͷ༲ྗΛՔ߹͏ঢ়ଶΛ 1 ഒͱ͢ΔͨΊɼҰఆ଎౓Ͱඈߦ͢Δঢ়ଶ͛Ε͹ྑ͍ɽ͋ͱ͸೗Կʹ߅ྗΛ‫ݮ‬Β͔͢ɼͱ͍͏఺͕

ʢ८ߤঢ়ଶʣ͕ਤதԝͷ‫ؙ‬ҹʹҐஔ͢ΔɽભԻ଎ཱྀ٬‫ػ‬ॏཁͰ͋ΔɽભԻ଎ཱྀ٬‫ػ‬ͷۭ‫ؾ‬఍߅Λͬ͘͟Γ෼͚ͷ৔߹ɼ८ߤ଎౓͸࣌଎ 900 kmʢϚοϋ਺ 0.8ʣఔ౓ɼ Δͱɼ༲ྗʹ൐͏༠ಋ఍߅͕ 30 %ɼিܸ೾ʹΑΔ଄೾
ओཌྷͷ୅දཌྷ‫ݭ‬௕ʹ‫ͮ͘ج‬ϨΠϊϧζ਺͸ 107 –108 ఔ఍߅͕ 5 %ɼͦͯ͠൒෼ఔ౓Λຎࡲ఍߅͕઎ΊΔɽ༠ಋ౓͕ྲྀΕͷ৚݅ͱͳΔɽ͜ͷͱ͖ɼ‫ػ‬ମද໘ͷେ෦෼͸఍߅͸༲ྗ͕ൃੜ͢Δ 3 ࣍‫ݩ‬ཌྷͰ͸ආ͚ΒΕͳ͍ɽ͜਺ mm ͷཚྲྀ‫ڥ‬ք૚ʹ෴ΘΕɼओཌྷ্໘Ͱ͸෦෼తʹͷͨΊ࠷ۙͷେ‫ཱྀܕ‬٬‫Ͱػ‬͸ɼཌྷஅ໘ͷมԽ͕؇΍͔ʹ௒Ի଎ྖҬͱͳΓऑ͍িܸ೾͕ൃੜ͢Δɼͱ͍͏ͷ͕ྲྀ

ͳΔࡉ௕͍ʢߴΞεϖΫτൺʣཌྷฏ໘‫ܗ‬Λ࠾༻͢Δ܏޲Εͷ֓‫͋Ͱ؍‬Δɽͯ͞ɼߤۭ‫ػ‬ͷۭྗͱ͍͏‫Ͱ఺؍‬͸ɼ ʹ͋Γɼ͜Ε͸࣮ࡍʹ఍߅࠷খΛ໨తʹͨ͠ཌྷฏ໘‫࠷ܗ‬Ԗ௚্޲͖ͷۭ‫ྗؾ‬ʢ༲ྗ Lʣͱਐߦํ޲‫͖޲ٯ‬ͷۭ‫ؾ‬దԽͷ݁Ռʹଟ͘‫ݟ‬ΒΕΔɽҰํͰɼߴΞεϖΫτൺओྗʢ߅ྗ Dʣ͕ઐΒͷ‫ڵ‬ຯͰ͋Δɽ८ߤ࣌ͷ༲ྗ Lɾ߅ཌྷ͸ഁյ͠ͳ͍Α͏෦ࡐΛ‫͢ʹݻڧ‬Δඞཁ͕͋Γɼॏྔ
2024 日本流体力学会

航空機の設計と流れ

10૿Ճʹ‫͕ܨ‬Δɽ‫ޙ‬ड़͢Δ͕ɼߏ଄ࡐྉʹ΋ܰྔߴ‫ͳ౓ڧ‬Δ਺஋తɾ࣮‫ݧ‬త‫ڀݚ‬΋ۙ೥‫ߦʹൃ׆‬ΘΕ͍ͯΔ 10–13) ɽ΋ͷΛར༻͢Δ౳ͷ޻෉͕ඞཁͰ͋Δɽ·ͨ༠ಋ఍߅

ຊઅͰ͸ɼओʹ఍߅௿‫ݮ‬ͷ‫͔఺؍‬ΒओཌྷपΓͷۭྗΛ௿‫͢ݮ‬Δํ๏ͱͯ͠ɼཌྷ୺ӔͷӨ‫ڹ‬Λখ͘͢͞ΔͨΊʹؔ͢Δ࿩୊ʹ৮Εͨɽߤۭ‫ػ‬શମͷྲྀΕͱ͍͏‫఺؍‬ʹཌྷ୺൘ʢwingletʣΛऔΓ෇͚Δ͜ͱ΋ۙ೥ͷେ‫ཱྀܕ‬٬Ͱ͸ɼۭྗ૽Ի΍ΤϯδϯपΓͷྲྀΕɼ਺஋ղੳʹؔ͢‫Ͱػ‬͸‫ج‬ຊͱͳ͍ͬͯΔɽ

Δࠃ಺֎ϫʔΫγϣοϓͷ࿩୊ʢAPCɾDPWɾAePWʣҰํͰɼ଄೾఍߅͕͜ͷΑ͏ͳ௿͍஋ʹ཈͑ΒΕΔ

౳ɼ৮ΕΔ΂͖࿩୊͸ଞʹ΋਺ଟ͘‫͛ڍ‬ΒΕΔ͕ɼຊߘͷ͸ཌྷஅ໘‫ܗ‬ঢ়ʢཌྷ‫ܕ‬ʣͷ޻෉ʹΑΔͱ͜Ζ͕େ͖͍ɽ Ͱ͸͔͜͜Βʮઃ‫ܭ‬ʯͱ͍͏‫ʹ఺؍‬࿩୊ͷத৺ΛҠ͠ɼ‫ػ‬ମ଎౓͕ѥԻ଎Ͱ΋ɼओཌྷΛա͗ΔྲྀΕͷҰ෦͕௒Իͦͷपลͷ਺஋ղੳٕज़Λ঺հ͍͖͍ͯͨ͠ɽͳ͓ߤ

଎ʹͳΓɼিܸ೾ͷൃੜʹΑΓେ͖ͳ଄೾఍߅͕ൃੜ͢

ۭ‫ػ‬ͷۭྗઃ‫͠ࡍʹܭ‬ɼ্ड़ͷ༷ʑͳྲྀମ‫ݱ‬৅ʢཚྲྀભ

Δ͜ͱ͸ 1940 ೥୅͔Β஌ΒΕ͍ͯͨɽ͜ΕΛճආ͢Δ

Ҡɾണ཭ɾিܸ೾ʣΛ਺஋ղੳͰଊ͑ઃ‫͛ܨʹܭ‬Δɼͱ

ͨΊɼભԻ଎ཌྷ‫ܕ‬ͷ‫ڀݚ‬։ൃ͕ਐΊΒΕͨɽભԻ଎ཌྷ‫ܕ‬͍͏͜ͱͷٕज़తͳ೉͠͞΋ຊઅͷ࠷‫ڧʹޙ‬ௐ͓ͯ͠Ͱ͸ɼཌྷ্໘Λฏୱʹ͠Ճ଎Λ؇΍͔ʹ͢Δ͜ͱͰিܸ

͖͍ͨɽ೾Λऑ͘‫ൃͰํޙ‬ੜͤ͞ɼͦͷ୅ΘΓཌྷԼ໘‫ํޙ‬Λ‫ۂ‬͛ͯ༲ྗΛՔ͙ 2) ɽ͜ΕʹΑΓɼཌྷฏ໘‫ʹܗ‬େ͖ͳ‫ޙ‬ୀ

3ෳ߹ࡐߤۭ‫ػ‬ͷۭྗߏ଄ઃ‫ܭ‬֯Λ࣋ͨͤͯ‫͍ڧ‬িܸ೾Λආ͚Δඞཁ͕ͳ͘ͳΓɼߏ

ͯ͞ɼ·͕͖͑ͷ࠷‫ʹޙ‬৮Εۭͨྗߏ଄ઃ‫ؔ͠ʹܭ‬ɼච଄ܰྔԽ΍௿଎ੑೳͷ޲্΁ͱ‫͕ͨͬܨ‬ɽͳ͓ɼ࣮ࡍʹऀΒͷ‫ ڀݚ‬14, 15) Λ̍ͭ঺հ͍ͨ͠ɽۙ೥ͷେ‫ཱྀܕ‬٬‫ػ‬͸ભԻ଎ཌྷ‫ܕ‬ͷബ͍‫ޙ‬ԑ෇ۙΛߏ଄্࣮‫͢ݱ‬Δ͜ͱ͸ ʢBoeing ࣾͷ B787 ΍ Airbus ࣾͷ A350ʣͰ͸୸ૉણҡ‫ڧ‬೉͘͠ɼ͍͘Β͔ްͨ͘͠ཌྷ‫ܕ‬Λ༻͍Δ͜ͱ͕ҰൠతͰ ԽϓϥενοΫʢcarbon ﬁber reinforced plastic: CFRPʣ
͋Δɽ·ͨɼભԻ଎ཌྷ‫Ͳ͍͑ͱܕ‬΋ɼ‫ػ‬ମ଎౓͕ߴ͘ͳ

͕ଟ͘༻͍ΒΕɼैདྷͷۚଐ੡ࡐྉʹൺ΂ͯܰྔߴ‫ڧ‬Δͱ‫͍ڧ‬িܸ೾Λੜ͡ɼόϑΣοτ΍ϑϥολʔͱ‫ݺ‬͹౓ͳ‫ػ‬ମߏ଄͕࣮‫͞ݱ‬Ε͍ͯΔɽۭྗઃ‫ܭ‬ͷ‫Ͱ఺؍‬΋
ΕΔഁյతͳৼಈ‫ݱ‬৅ʹ‫͕ܨ‬ΔɽಛʹϑϥολʔͰ͸ɼ ͜ͷҧ͍͸େ͖ͳҙຯΛ࣋ͭɽCFRP ͷ‫ʹ༻׆‬ΑΓɼ͜ઢ‫ྗۭܗ‬ղੳͰัଊͷ೉͍͠ભԻ଎σΟοϓ΍ɼભԻ଎ Ε·Ͱࠔ೉ͩͬͨߴΞεϖΫτൺओཌྷ͕࣮‫͞ݱ‬Εɼඈߦཌྷ‫ܕ‬ಛ༗ͷϑϥολʔಛੑͳͲɼ༧ଌͷ೉͍͠ඇఆৗ‫ݱ‬࣌ͷओཌྷม‫ܗ‬͸ΑΓେ͖͘ͳΔɽओཌྷม‫͕ܗ‬େ͖͍ͱɼ

৅͕ଘࡏ͢ΔɽͦͷͨΊɼ͜ΕΒͷߴ଎ҬΛආ͚Δ͜ͱۭ‫ྗؾ‬΋େ͖͘มԽ͠͏Δɽ·ۭͨ‫͕ྗؾ‬มԽ͢Ε͹ɼ͕ॏཁ͕ͩɼඈߦߴ౓͕ߴ͘ͳΔͱ͜ͷ‫ͳݥة‬଎౓Ҭߏ଄ม‫ܗ‬΋Ө‫ڹ‬Λड͚ΔɽʮओཌྷΛઃ‫͢ܭ‬Δʯͱ͍͏͜

͕௿Լ͠ɼࣦ଎଎౓ͱॏͳͬͯ͠·͏ɽ͜ͷ‫ݱ‬৅͕ൃੜͱ͸ɼ͜ͷΑ͏ͳۭྗͱߏ଄ͷ૬‫༻࡞ޓ‬Λߟྀ͠ɼॴ๬

͢ΔྖҬ͸ cofﬁn corner ͱ‫ݺ‬͹Εɼ͢ͳΘͪߤۭ‫͕҆ػ‬ͷ༲ྗͱ௿͍߅ྗΛ࣮‫͢ݱ‬Δཌྷ‫ܗ‬ঢ়ΛܾΊʢۭྗઃ‫ܭ‬ʣɼશʹඈߦग़དྷΔ଎౓Ҭ͕ඇৗʹখ͍͜͞ͱΛҙຯ͢Δɽ ഁյΛੜ͡ͳ͍ఔ౓ʹߏ଄෦ࡐΛബܰ͘͠ྔԽ͢Δʢߏ
࠷ۙެ։͞Εͨөը Top Gun: Marverick Ͱɼఢ͔Βͷ ଄ઃ‫ܭ‬ʣ͜ͱΛࢦ͢ɽूத߈ܸΛड͚Δ৔ॴΛࢦ͠ʮcofﬁn cornerʢ‫׹‬ԳϙΠϯτʣͩʯͱᄁ͘γʔϯ͕͋Δɽߤۭؔ܎ऀ͸χϠϦͱͨ͠͸ͣͰ͋Δɽ
ͯ͞ɼઌड़ͷΑ͏ʹ߅ྗͷ൒෼ۙ͘͸ຎࡲ఍߅Ͱ͋
Δɽ͜Ε͸‫ػ‬ମද໘ͷେ෦෼͕ཚྲྀ‫ڥ‬ք૚Ͱ෴ΘΕΔ͜
ͱ͔Β΋૝૾ʹ೉͘ͳ͍ɽ͜Εʹର͠ɼओʹཌྷ‫ܕ‬Λ޻෉͠ཚྲྀભҠΛ஗Βͤͯ఍߅௿‫ݮ‬ΛਤΔɼࣗવ૚ྲྀཌྷͷ‫ݚ‬‫ڀ‬։ൃ͕ਐΊΒΕ͖ͯͨɽۙ೥Ͱ͸ HondaJet3–6) ʹ͓͍ͯɼಠࣗͷࣗવ૚ྲྀཌྷ‫ܕ‬ɾ૚ྲྀϊʔζ͕։ൃɾ࠾༻͞Εͨ͜ͱ͸༗໊ͩΖ͏ɽͪͳΈʹ HondaJet ͷಛ௃తͳओ
ཌྷ্ͷΤϯδϯ഑ஔ͸ɼલஈͰઆ໌ͨ͠ཌྷ໘িܸ೾ͷ؇࿨Λ໨తͱ͠ɼઃ‫ऀܭ‬ͷ౻໺ࢯ͸଎౓ϙςϯγϟϧͷॏͶ߹Θ͔ͤΒൃ૝Λಘͨͦ͏Ͱ͋Δɽཚྲྀ‫ڥ‬ք૚ͷຎࡲ఍߅Λ௿‫͢ݮ‬Δํ๏ͱͯ͠͸ϦϒϨοτ΍ɼભҠʹΑΔཚྲྀ੒௕Λ཈੍͢Δ֤छ૚ྲྀԽσόΠε͕‫͛ڍ‬ΒΕΔɽ
͜ΕΒ͸ɼۙ೥ཱͯଓ͚ʹෳ਺ͷߤۭձ͕࣮ࣾ‫΁ػ‬ͷࢼ‫ݧ‬ద༻Λൃද͍ͯ͠Δ 7, 8) ɽ·ͨɼ‫ޙ‬ୀ֯Λ༗͢Δߤۭ‫ػ‬ओཌྷͰ͸ԣྲྀΕෆ҆ఆੑ΍෇ணઢྲྀෆ҆ఆੑ 9) ͱ͍ͬͨભҠͷෳࡶͳϝΧχζϜ͕ࠞࡏ͠ɼ͜ΕΒʹؔ͢

ਤ2ෳ߹ࡐߤۭ‫ػ‬ओཌྷϞσϧͷྫ 14, 15)ຊ‫Ͱڀݚ‬ର৅ͱͨ͠ओཌྷ͸ B777 ͷฏ໘‫ܗ‬Λ‫ͨ͠ʹݩ‬؆қϞσϧͰ͋Γɼਤ 2 ʹ֓ཁΛࣔ͢ɽཌྷ‫ܕ‬͸ RAE2822ɼ
ߏ଄Ϟσϧ͸ཌྷϘοΫεߏ଄ͱ͠ɼCFRP ͱͯ͠ 3 छྨRʣΛൺֱ͢ͷ୸ૉણҡʢτϨΧT700S/T800S/T1100G

Δɽࡐྉͷҧ͍Λ؆୯ʹઆ໌͢Δͱɼણҡछͷ਺ࣈ͕େ͖͍΄Ͳ߶ੑͱ‫͍ߴ͕౓ڧ‬ʢม‫ܗ‬/ഁյͮ͠Β͍ʣͱ‫ݴ‬
͑Δɽ্ड़ͷϞσϧʹର͠ɼ८ߤ࣌ʢϚοϋ਺ 0.85ʣʹ༲ྗ܎਺ 0.5 Λอͪͭͭɼߏ଄͕ഁյ͠ͳ͍Α͏෦ࡐͷ

阿部圭晃

11

ܰྔԽΛߦ͏͜ͱΛߟ͑Δɽ֤෦ࡐͷੇ๏ʢްΈʣ΍ཌྷͳΔɽ෺ཧతͳৄࡉ͸ྲྀମྗֶ͔Β֎ΕΔͨΊׂѪ͢ͷม‫ྔܗ‬͸ࣄલʹ෼͔Βͳ͍ͨΊɼ͍ΘΏΔఆৗతͳྲྀ

Δ͕ɼෳ߹ࡐಛ༗ͷഁյϞʔυʹΑΓɼ͜ͷΑ͏ͳඇࣗମߏ଄࿈੒ղੳʢ੩తۭྗ஄ੑղੳɿ੩ۭ஄ʣͱɼഁյ

໌ͳઃ‫ܭ‬ղͱͳΔ͜ͱΛ‫ڧ‬ௐ͓͖͍ͯͨ͠ɽҰํ޲࿈͠ͳ͍Α͏ߏ଄ੇ๏ͷௐ੔ʢߏ଄αΠδϯάʣΛಉ࣌ʹ੒ղੳ͸ओཌྷ͕ม‫͍ͨͳ͠ܗ‬ΊۭྗՙॏΛաେʹධՁߦ͏ඞཁ͕͋Δɽ࣮ࡍͷղੳͰ͸ɼ෼཭൓෮ղ๏Λ༻͍

͢Δ܏޲ʹ͋Δ͕ɼैདྷࡐྉͰ͋Ε͹ɼߏ଄ઃ‫ޙܭ‬ͷ൘ͨ੩ۭ஄ͷ൓෮‫ ʹࢉܭ‬10–20 ճΛཁ͠ɼ1 ճͷ੩ۭ஄ղްΛશମతʹখ͘͢͞Δิਖ਼͕ѱ͘ͳ͍ۙࣅͱͳΖ͏ɽੳதʹߏ଄αΠδϯάͷͨΊͷߏ଄ղੳΛ 30–40 ճߦ

͔͠͠ɼCFRP ʹ୅ද͞ΕΔෳࡶͳഁյಛੑΛࣔ͢ઌਐ͏ɽ·্ͨ‫Ͱه‬ม‫ͨ͠ܗ‬ओཌྷ͸ॴ๬ͷ༲ྗΛ࣮‫ͳ͠ݱ‬ࡐྉͰ͸ɼ͜ͷΑ͏ʹఆੑతʹ΋‫݁ͨͬޡ‬ՌΛಘΔՄೳ

͍ͨΊɼऔ෇֯ α Λ൓෮‫ʹࢉܭ‬ΑΓௐ੔͢Δ͜ͱͰ‫׬‬

ੑ͕͋Δɽ

ྃͱͳΔɽ‫܁‬Γฦ͠ʹͳΔ͕ɼߏ଄αΠδϯάΛߦ͍ͳ
Two-way coupled͕ࣄલʹ෼͔Βͳ͍ɽͦͷͨΊɼۭྗઃ‫͋ܭ‬Δ͍͸ߏ଄ઃ‫͚ͩܭ‬Λ੾Γ෼͚ͯߦ͏͜ͱ͸೉͍͠ɼͱ͍͏఺͕ຊ
࣭తʹॏཁͰ͋Δɽ

Panel thickness͕Β੩ۭ஄ղੳΛߦ͏ઃ‫Ͱܭ‬͸ɼͲͷΑ͏ʹม‫͢ܗ‬Δ͔

݁ՌʹҠΖ͏ɽਤ 3 ͸ 3 छͷ CFRP ओཌྷʹର͠ɼऔਤ4

ͷߴ͍ T1100G ͕࠷΋େ͖ͳ༲ྗΛ͕ࣔ͢ɼ͜Ε͸ཌྷͷ‫͕͛ۂ‬খ͘͞཈͑ΒΕ༲ྗΛՔ͛ΔͨΊͰ͋Δɽ͜ͷ͕ࣔ͢ɼ‫ڵ‬ຯਂ͍͜ͱʹɼα ΛεΠʔϓͤͨ͞༲߅‫ۃ‬ઢͱͯ͠͸ຆͲҰக͢Δɽ͢ͳΘͪ୸ૉણҡछͷҧ͍͸ߏ଄ઃ‫ͱܭ‬ม‫ʹܗ‬Ө‫ڹ‬Λ‫͕͢΅ٴ‬ɼۭྗੑೳͷมԽ͸औ෇֯ͷҧ͍Ͱิ͑Δͱ‫͑ݴ‬Δɽ࣮༻্͸ɼॴ๬ͷ༲ྗΛ࣮‫͢ݱ‬ΔͨΊʹɼ߶ੑͷߴ͍ T1100G Λ༻͍Δͱऔ෇͕֯খ͘͞ͳΓࣦ଎ܴ֯·Ͱͷ༨༟͕େ͖͘ͳΔɼͱ͍ͬͨར఺͕͋Δɽ

Tip Root

Root
Spanwise location

෇֯ α ΛมԽͤ͞ඳ͍ͨ༲߅‫ۃ‬ઢͰ͋Δɽ֤ α Ͱ߶ੑΑ͏ʹ 3 छͷओཌྷ͸ͦΕͧΕͷ α ͰҟͳΔۭྗੑೳΛ

One-way coupled

Tip
Spanwise locationओཌྷ্໘ͷ൘ްઃ‫݁ܭ‬Ռ 15)૒ํ޲࿈੒ղੳʹ͓͚Δ൓෮‫ࢉܭ‬͸ɼ੩ۭ஄ղੳ
ͱ͍͑Ͳ΋ɼઃ‫͏͍ͱܭ‬ϓϩηεͷதͰ͸‫ࢉܭ‬ίετͷଟ͘Λ઎ΊΔɽۭྗͱߏ଄ղੳͷߴ౓Խʹ൐͍͜ͷ໰୊͸‫ࡏݦ‬Խͭͭ͋͠Δ͕ɼ‫ݱ‬ঢ়ࠜຊతͳղܾ͸͋·ΓਤΒΕ͍ͯͳ͍Α͏ʹ‫͡ײ‬Δɽ

4ඇఆৗཚྲྀղੳͱΞΫηϥϨʔλਤ 1 ʹ໭Ζ͏ɽதԝͷ८ߤঢ়ଶͰ͸ྲྀΕ৔͸४ఆৗతͰ͋Γɼۭྗ༧ଌ͸ཚྲྀϞσϧΛ༻͍ͨఆৗղੳʢReynolds-averaged Navier-Stokes simulation: RANSʣͰे෼Ͱ͋ΔɽҰํɼ࣮ࡍͷઃ‫Ͱܭ‬ॏཁͳྖҬ͸ɼߴܴ֯৚݅΍ߴ଎৚݅ͱ͍ͬͨϑϥΠτΤϯϕϩʔϓͷ‫ڥ‬քCLʹଘࡏ͢Δɽྫ͑͹௿଎ଆͷߴܴ֯৚݅͸ɼ཭཮࣌ʹ‫ػ‬टΛ্࣋ͪ͛Δ࣌Λ૝૾ͯ͠ཉ͍͠ɽ‫ػ‬ମͷ଎౓͕·ͩ஗͘ɼ͔ͭ೩ྉ͕ຬࡌͷ࠷΋ॏ͍ঢ়ଶͰ͋Δɽܴ͕֯ߴ͍ͱྲྀΕͷണ཭ʹΑࣦͬͯ଎͠ɼ௿͍ͱඈͼ্͕Δͨ
Ίͷ༲ྗ͕ग़ͤͳ͍ɽͦͷͨΊۭྗղੳͱͯ͠͸ɼྲྀΕͷണ཭ͱࣦ଎Λద੾ʹ༧ଌՄೳͳղੳख๏͕‫ٻ‬ΊΒΕɼCD൚༻ੑͷߴ͍ख๏ͱͯ͠ large-eddy simulationʢLESʣ΍

direct numerical simulationʢDNSʣͱ͍ͬͨඇఆৗཚྲྀ
ਤ 3 ߏ଄ઃ‫ޙܭ‬ͷओཌྷ༲߅‫ۃ‬ઢ

15)ղੳ͕ඞཁͱͳΔɽߴ଎ଆͰ͸ɼ఍߅ൃࢄ΍όϑΣο
τɼϑϥολʔ౳ͷিܸ೾ʹؔ࿈͢Δ‫ݱ‬৅͕ੜ͡ɼগʑ

ͯ͞ɼ্‫ه‬͸੩ۭ஄ʹؔ͠૒ํ޲࿈੒ղੳΛ༻͍ɼओཚ๫ͳ‫͕ͩํ͍ݴ‬ɼ͜ΕΒΛਫ਼౓ྑ͘༧ଌ͢ΔͨΊʹ͸ཌྷͷม‫ܗ‬Λߟྀͨ͠ઃ‫݁ܭ‬ՌͰ͋Δɽม‫ܗ‬Λߟྀ͠ͳ΍͸Γ LES/DNS ͱ͍ͬͨඇఆৗཚྲྀղੳ͕๬·͍͠ɽ͍ʢҰํ޲࿈੒ʣղੳͱͷൺֱͱͯ͠ɼਤ 4 ʹओཌྷ্໘ѹॖੑཚྲྀͷ LES/DNS Λߤۭ‫ػ‬ͷΑ͏ͳෳࡶ‫ܗ‬ঢ়प൘ް෼෍Λࣔ͢ɽ͜Ε͸ߏ଄ઃ‫ܭ‬ͷ݁Ռ͕ͩɼͦͷཪͰΓͰ࣮ࢪ͢Δख๏͸͍͔ͭ͘ߟ͑ΒΕΔ͕ɼ͜͜Ͱ͸ߴ͸ओཌྷม‫ܗ‬ͷ༗ແʹΑΔۭྗՙॏͷมԽ͕‫͘ڧ‬Ө‫ͯ͠ڹ‬࣍ਫ਼౓ඇߏ଄֨ࢠ๏Λ঺հ͍ͨ͠ɽѹॖੑྲྀମղੳͰඇ

͍Δɽ૒ํ޲࿈੒ͷ݁Ռʢࠨʣ͸ɼ߶ੑͷߴ͍ T1100G

ߏ଄֨ࢠΛ༻͍Δߴ࣍ਫ਼౓ख๏͸ discontinuous Galerkin͕࠷΋ബ͍൘ްͱͳΓɼ௚‫ײ‬తʹ΋ೲಘग़དྷΔ΋ͷͰ ʢDGʣ๏͕୅දత͕ͩɼۙ೥ͦͷ೿ੜ‫༷ͯ͠ͱܗ‬ʑͳղ
͋Δɽ͔͠͠Ұํ޲࿈੒ʢӈʣͷ৔߹ɼཌྷ෯தԝ෇ۙͰ ๏ʢspectral volume: SVɼspectral difference: SDʣ͕ఏ

T1100G ͷ൘ް͕ಥવେ͖͘ͳΓɼઌͱਖ਼൓ରͷ݁ՌͱҊ͞Ε͖ͯͨɽ͜ΕΒΛแ‫ؚ͢‬ΔఆࣜԽͱͯ͠ɼྲྀଋ࠶

航空機の設計と流れ

12

ߏஙʢﬂux reconstruction: FRʣ๏͕ 2007 ೥ʹఏҊ͞Ε
16)‫ߦ࣮͖ͮج‬ՄೳͳͨΊɼ֤ΞΫηϥϨʔλͰ࠷దԽ͞Εɽಛ௃͸ɼඇߏ଄֨ࢠʹΑΔ༗‫ݶ‬ମੵ๏Λ‫ج‬ͨ GEMMʢgeneral matrix multiplyʣϥΠϒϥϦΛ࢖༻ຊͱͭͭ͠ɼ1 ͭͷ֨ࢠηϧ಺ʹଟ਺ͷ཭ࢄ఺Λઃ͚Δ

Ͱ͖Δɽ๯಄ʹ঺հͨ͠ PyFR ͸ɼ͜ͷΑ͏ͳར఺Λ‫׆‬͜ͱͰɼྲྀΕ෼෍΍ηϧ‫ܗ‬ঢ়Λߴ࣍ଟ߲ࣜʹΑͬͯද‫ݱ‬͔ͯ͠ FR ๏Λ Python ϕʔεͰ࣮૷͠ɼGPU/CPU Λ‫ؚ‬

͍ͯΔՄೳͱͨ͜͠ͱͰ͋Δʢਤ 5ʣɽ͜ΕʹΑΓɼ‫཰ۂ‬Λ༗Ή༷ʑͳ‫ߦ࣮Ͱػࢉܭ‬Մೳͱ͢Δ cross-platform ͷࢥ૝͢Δน໘΋֨ࢠηϧͰࣗવʹද‫ݱ‬ՄೳͱͳΓɼ·ͨηͰߏங͞Ε͍ͯΔɽPyFR ͸ถࠃͷ Frontier ΍ Summitϧ಺ͷԋࢉྔ͕૬ରతʹେ͖͘‫ͱ͍͜ߴ͕཰ޮࢉܭ‬΍ɼ ͳͲͷߴฒྻ GPU εύίϯͰ΋ɼ࣮ߦޮ཰͕ 50 %ఔ౓

GPU ͳͲͷΞΫηϥϨʔλͱ૬ੑ͕ྑ͍ͱ͍ͬͨಛ௃

Ͱ strong scaling ΋ྑ޷ͱ͞ΕΔɽ͜ͷΑ͏ʹ‫ػࢉܭ‬ͷ

͕͋ΔɽఆࣜԽͷৄࡉ͸ 16) ʹৡΓɼ·ͨ‫ۂ‬ઢηϧʹؔಛੑ΋ੵ‫ۃ‬తʹΞϧΰϦζϜʹऔΓೖΕΔͳͲɼ‫ػࢉܭ‬

͢Δద੾ͳ཭ࢄԽ 17) ΍ɼϑϥολʔͳͲͷಈతۭ஄ղ

Պֶͱͷ໖ີͳ࿈‫ޙࠓ͕ܞ‬͸ඞཁෆՄܽʹͳΔͱࢥΘੳʹඞਢͷҠಈม‫ؔ͢ʹࢠ֨ܗ‬Δ‫ڀݚ‬18)

͸ผͷ‫ػ‬ձ͕ΕΔɽ͋Ε͹঺հ͍ͨ͠.

ຊઅͰ͸ɼߴ࣍ਫ਼౓ඇߏ଄֨ࢠ๏Λத৺ʹɼඇఆৗཚ

ਤ 6 ʹ͸ɼ௿ѹλʔϏϯཌྷपΓͷ DNS ͷ݁ՌΛࣔ͢ྲྀղੳͷ‫ݱ‬ঢ়ͱల๬Λ؆୯ʹ·ͱΊͨɽ͔͠͠ɼ՝୊͸ɽ͜͜Ͱ͸֦େ୺໘นΛ༗͢ΔλʔϏϯཌྷपΓΛ FR

ະͩଟ͘ଘࡏ͢Δɽྫ͑͹ FR ๏͸෺ମ‫ܗ‬ঢ়Λਖ਼֬ʹ࠶๏ʢۭؒ 4 ࣍ଟ߲ࣜʣʹΑΓղੳ͠ɼཌྷ‫ݭ‬௕Λ‫ج‬४ͱ‫͠ݱ‬ɼน໘ۙ๣ͷཚྲྀߏ଄΋ߴਫ਼౓ʹղੳՄೳ͕ͩɼ‫ۂ‬

19)

5ͨ͠ϨΠϊϧζ਺͸ 2.0 × 10 ͷ 3 ࣍‫ྲྀݩ‬ΕͰ͋ΔɽਤઢηϧΛద੾ʹ഑ஔ͢Δ֨ࢠੜ੒๏͸े෼ʹཱ֬͞Ε

6 ͷӈଆ͸ཌྷ໘Ϛοϋ਺෼෍ͷ࣮‫ݧ‬஋ͱͷൺֱΛࣔ͢ɽ ͍ͯͳ͍ɽ͍͘Β͔ͷ঎༻ιϑτͰରԠྫ͕૿͍͑ͯ
֓Ͷྑ͘Ұக͢Δ͕ɼਤ 6 ӈ୺ͷཌྷ‫ޙ‬ԑ෇ۙͰ͸࣮‫ͱݧ‬Δ΋ͷͷɼྲྀମ‫ࢉܭ‬๏ͱൺֱͯ֨͠ࢠੜ੒ʹؔ͢Δ‫ڀݚ‬‫ࠩͳ͔ۇͰࢉܭ‬ҟ͕ੜ͡ɼ͜Ε͸෩ಎ࣮‫ʹݧ‬ଘࡏ͢Δྲྀ։ൃ͸੝Μͱ͸‫͍ͳ͑ݴ‬ɽ·ͨྲྀମ‫ࢉܭ‬๏ͦͷ΋ͷʹೖཚΕΛ‫Ͱࢉܭ‬͸࠶‫ىʹͱ͍͜ͳ͍ͯ͠ݱ‬Ҽ͢Δɽ෩

ؔͯ͠΋ɼߴ࣍ਫ਼౓Խʹ൐͏ରྲྀ߲༝དྷͷෆ҆ఆੑ 20) ɼಎͷओྲྀཚΕ͸ 2 %ఔ౓ͷ‫͕ͩ౓ڧ‬ɼཌྷ‫ޙ‬ԑ෦ͷണ཭Ґηϧ಺Ͱͷিܸ೾ั֫ʹؔ͢Δख๏ͷཱ֬ 21) ͳͲͷ՝ஔʹӨ‫͠ڹ‬ɼ݁Ռతʹ͸‫ྲྀޙ‬ͷѹྗଛࣦΛ༗ҙʹมԽ͞୊͕‫͛ڍ‬ΒΕΔɽͳ͓࠷‫ʹޙ‬ɼߴ࣍ਫ਼౓ඇߏ଄֨ࢠ๏ͱ

ͤΔɽDNS ʹ୅ද͞ΕΔඇఆৗཚྲྀղੳ͸ɼύϥϝʔ͸ҟͳΔΞϓϩʔνͱͯ͠ɼ෺ମ‫ܗ‬ঢ়ʹ͸ඇద߹͕ͩෳ

λௐ੔ແ͠ʹཚྲྀભҠɾണ཭Λ༧ଌՄೳͱ͍͏ར఺͸͋ࡶ‫ܗ‬ঢ়ͷऔΓѻ͍͕༰қͳ֊૚‫ܕ‬௚ަ֨ࢠΛ༻͍ͨߤΔ͕ɼ͜ͷΑ͏ͳ࣮‫ݧ‬৚݅ͱͷ‫ͳ͔ۇ‬ҧ͍͕݁ՌʹӨ‫ڹ‬ۭ‫ػ‬શ‫ ػ‬LES ʹؔ͢Δ‫ڀݚ‬΋ਫ਼ྗతʹల։͞Ε͓ͯΓɼ͢Δ͜ͱʹվΊͯཹҙ͢΂͖ͩΖ͏ɽͦͪΒͷղઆ‫ࣄه‬౳΋ੋඇࢀর͞Ε͍ͨ 22, 23) ɽ্‫ه‬ͷ DNS ͸ɼΦʔϓϯιʔεͰ͋Δ PyFRʢwww.
R
pyfr.orgʣΛ࢖༻͠ɼGPUʢNVIDIATesla
K20Xʣ

5

ۭྗߏ଄ઃ‫ܭ‬͸࠷దԽ໰୊

Λ 4000 ‫ج‬Ҏ্࢖༻ͨ͠ߴฒྻ‫ࢉܭ‬ͷ݁ՌͰ͋ΔɽҰൠ͜͜·Ͱଟ͘Λ৮Εͣʹདྷ͕ͨɼߤۭ‫ػ‬ͷۭྗߏ଄ઃ

ʹɼߤۭ‫ػ‬εέʔϧͷඇఆৗཚྲྀղੳͰ͸͜ͷΑ͏ͳ‫ن‬‫ܭ‬͸ɼԿΒ͔ͷ໨తؔ਺ʢධՁؔ਺ʣΛઃఆ͠ɼෆ౳ࣜ

໛ͷߴฒྻ‫͕ࢉܭ‬ඞཁͰ͋Δɽ·ͨੈքతͳைྲྀͱͯ͠

߆ଋ৚݅ͷԼͰม਺Λௐ੔͢Δඇઢ‫ܗ‬ͷଟ໨త࠷దԽ

‫ͦػࢉܭ‬ͷ΋ͷ΋ GPU ͳͲΞΫηϥϨʔλΛऔΓೖΕ໰୊Ͱ͋Δɽྫ͑͹߅ྗ΍ॏྔͷ࠷খԽ͸య‫ܕ‬తͳ໨ͨߏ੒ʹஔ͖‫׵‬ΘΓͭͭ͋ΔɽFR ๏Ͱ͸ɼ͋Δηϧ಺తؔ਺Ͱ͋Γɼ֤෦ࡐͷߏ଄҆શ༨༟Λઃఆ͢Δ͜ͱ͸ͷྲྀଋ‫ʹࢉܭ‬ඞཁͳ෺ཧྔ͸ɼண໨͢Δηϧ಺ͷղͷఆෆ౳ࣜ߆ଋ৚݅ͱ‫ͤͳݟ‬ΔɽҰൠͷ࠷దԽ໰୊ͱಉ༷

ٛ఺ʹอଘ͞Ε͍ͯΔɽͦͷͨΊԋࢉྔͷଟ͘Λ઎ΊΔʹɼߤۭ‫ػ‬ͷۭྗߏ଄࠷దԽʹର͢ΔΞϓϩʔν΋ɼޯଟ߲ࣜิؒʹ͓͍ͯɼۙྡͷηϧ͔Β෺ཧྔΛ౉͢௨৴഑๏ͱඇޯ഑๏ʹେผ͞ΕΔɽͷඞཁ͸ͳ͘ɼ͜ͷ͜ͱ͕༗‫ݶ‬ମੵ๏΍ࠩ෼๏ͱେ͖͘

ޯ഑๏Ͱ͸ɼԿΒ͔ͷํ๏Ͱઃ‫ܭ‬ม਺ʹର͢Δ໨తؔҟͳΔར఺Ͱ͋Δɽ·ͨɼଟ߲ࣜิؒ͸ઢ‫ܗ‬୅਺ԋࢉʹ

ਤ 6 ௿ѹλʔϏϯཌྷͷ DNS ॠ࣌৔ʢࠨʣͱ࣌ؒฏ‫ۉ‬ཌྷ໘Ϛοϋ਺෼෍ʢӈʣ19)
ਤ5ඇߏ଄֨ࢠ๏ʢFR ๏ʣͷ֨ࢠηϧͷఆٛ

阿部圭晃

13

਺ͷޯ഑Λ‫ٻ‬Ίɼ໨తؔ਺ͷ‫ۃ‬খ஋ʢ͋Δ͍͸‫ۃ‬େ஋ʣ ͳΔઃ‫ܭ‬ม਺Ͱఆٛ͞ΕΔଟ਺ͷ‫ݸ‬ମΛಠཱʹධՁ͠ɼΛ‫͚ͭݟ‬Δɽม਺ΛมԽͤͨ͞ࡍͷ໨తؔ਺ʹର͢Δ

ύϨʔτղ‫ͱ΁܈‬ਐԽ͍ͤͯ͘͞ɽ֤‫ݸ‬ମ͸ಠཱʹධޯ഑Λ‫ٻ‬ΊΔ͜ͱΛ‫౓ײ‬ղੳͱ‫͕Ϳݺ‬ɼ͜Εʹؔ͠ਵ൐Ձ͞ΕΔͨΊɼຊ࣭తʹϞσϧͷࢧ഑ํఔࣜΛҙࣝͤͣ

ʢadjointʣ๏ͱ‫ݺ‬͹ΕΔ‫ͳྗڧ‬ख๏͕͋Δɽਵ൐๏͸ɼϥʹ࠷దԽ͕ՄೳͰ͋Γɼۭ஄ղੳʹ୅ද͞ΕΔෳ߹ྖҬάϥϯδϡະఆ৐਺๏ʹ‫͖ͮج‬ਵ൐ม਺Λಋೖ͠ɼଟ਺

ͷ࿈੒ղੳ΋ൺֱత༰қʹద༻ग़དྷΔɽͷઃ‫ܭ‬ม਺ͷ‫౓ײ‬ΛҰ౓ʹಘΒΕΔख๏Ͱ͋Γɼม਺͕ଟ੍͘໿৚͕݅গͳ͍৔߹ʹଟ͘༻͍ΒΕΔɽҰൠʹߏ଄ઃ‫Ͱܭ‬͸֤෦ࡐੇ๏Λઃ‫ܭ‬ม਺ʹऔΔ͜ͱ͔Βɼઃ‫ܭ‬ม਺͸ඇৗʹଟ͘ͳΔɽͦͷͨΊɼߤۭ‫ߏػ‬଄ઃ‫ܭ‬ʹ͓͍ͯ΋ਵ൐๏ʹΑΔߏ଄αΠδϯά͸ޮՌత͕ͩɼ
ۙ೥Ͱ͸ۭྗ‫ܗ‬ঢ়ͷઃ‫ܭ‬ม਺Λಉ࣌ʹ࠷దԽ͢Δۭྗ
ߏ଄࠷దԽ΋ߦΘΕ͍ͯΔ 24, 25) ɽਵ൐ํఔࣜͷఆࣜԽʹ͸ۭྗͱߏ଄ͷ࿈੒ํఔࣜΛ༻͍ΔͨΊɼ͍͘Β͔ͷۙࣅతཁૉ͸ೖΔ΋ͷͷʢྫ͑͹ɼ֤෦ࡐͷ҆શ༨༟Λ‫ݸ‬ผʹ൑அͤͣ౷߹తʹѻ͏ۙࣅؔ਺Λಋೖ੍ͯ͠໿
৚݅ͷ਺Λ‫ݮ‬Β͢౳ʣɼۭྗ‫ܗ‬ঢ়΍ߏ଄ੇ๏ͱ͍ͬͨ‫ۃ‬Ίͯଟ਺ͷઃ‫ܭ‬ม਺ͷ࠷దԽΛ‫࣮ݱ‬తͳ‫Ͱ಺ؒ࣌ࢉܭ‬ߦ͏ख๏ͱͯ͠ཧ૝తͳఆࣜԽʹ͍ۙɽ͜͜Ͱɼʮ͍ۙʯͱද‫ʹͱͨ͜͠ݱ‬͸͍͔ͭ͘ཧ༝͕

ਤ7ෳ߹ࡐߤۭ‫ػ‬ओཌྷͷଟ໨త࠷దԽͷྫ͋Δɽ·ͣɼޯ഑๏Ͱ͸‫ج‬ຊతʹ໨తؔ਺͸ 1 ͭͰ͋
Δɽ͔͠͠ɼߤۭ‫ػ‬ͷۭྗߏ଄࠷దԽͰ͸ɼ߅ྗͱॏྔ

ਤ 7 ͸ɼਐԽ‫ʹࢉܭ‬ΑΔෳ߹ࡐओཌྷͷཌྷฏ໘‫࠷ܗ‬దͷ࠷খԽͷΑ͏ͳෳ਺ͷ໨తؔ਺ΛऔΔɽઌʹ΋ड़΂ԽͷྫͰ͋Δɽ໨తؔ਺ʹ߅ྗͱߏ଄ॏྔͷ࠷খԽΛͨΑ͏ʹɼ༠ಋ߅ྗΛখ͘͢͞Δʹ͸ߴΞεϖΫτൺͷઃఆ͠ɼύϨʔτղ‫͕܈‬ಘΒΕ͍ͯΔɽ͜ͷ࣌ɼӈ্ʹओཌྷฏ໘‫͕ܗ‬๬·͍͕͠ɼߴΞεϖΫτൺཌྷ͸ߏ଄ॏ͸୅දతͳ 3 ͭͷύϨʔτղΛ͕ࣔ͢ɼ఍߅࠷খͱͳΔ

ྔ͕૿Ճ͢Δ܏޲ʹ͋Γɼ૬൓͢ΔʢτϨʔυΦϑͱͳͷ͸ߴΞεϖΫτൺओཌྷͰɼॏྔ࠷খղ͸ͦͷ‫ͳͱٯ‬Δ

Δʣ໨తؔ਺Ͱ͋Δɽ͜ͷΑ͏ͳτϨʔυΦϑؔ܎ʹ͋͜ͱ͕෼͔Δɽͳ͓ɼ͜ΕΒͷղੳதʹ͸ۭ஄ղੳ΍ߏ

Δଟ໨తؔ਺ʹର͠།Ұͷ࠷దղʢ‫׬‬શ࠷దղʣ͸ଘࡏ଄αΠδϯά΋‫·ؚ‬ΕΔ͕ɼ֤‫ݸ‬ମʹ͓͍ͯಠཱʹධՁͤͣɼ͍ͣΕͷ໨తؔ਺΋ͦΕҎ্ಉ࣌ʹվળग़དྷͳ͍

͍ͯ͠Δɽ͢ͳΘͪɼۭྗม਺ͱߏ଄ม਺ͷಉ࣌࠷దԽ

ղ‫܈‬͸ύϨʔτղ‫ݺͱ܈‬͹ΕΔɽ͜Εʹର͠ɼ֤໨తؔ

ʹ͸ͳ͍ͬͯͳ͍͜ͱʹ஫ҙ͍ͨ͠ɽҰൠʹଟ໨త࠷਺ʹॏΈΛ෇͚ͨ૯࿨ʢઢ‫ܗ‬Ճॏ࿨ʣΛ୯Ұͷ໨తؔ਺దԽ໰୊Ͱઃ‫ܭ‬ม਺Λଟ͘औΔ͜ͱ͸೉͘͠ɼ͜ͷ͜ͱͱͯ͠༻͍Δ৔߹͕͋Δ͕ɼద౰ͳॏΈΛ‫ݟ‬ग़͢͜ͱ͸͸ߏ଄ઃ‫ޯ͍͓ͯʹܭ‬഑๏ɾਵ൐๏͕ଟ༻͞ΕΔཁҼͱ೉͍͠ɽ·ͨɼͦ΋ͦ΋ઢ‫ܗ‬Ճॏ࿨Ͱ͸๬·͍͠ղ͕ಘ‫͑ݴ‬Δɽ͔͠͠ɼ໨తؔ਺ʹؔ͢Δ୅ସʢαϩήʔτʣΒΕͳ͍৔߹͕ଘࡏ͠ɼҰൠʹ࢖༻͢΂͖Ͱ͸ͳ͍ɽ͜Ϟσϧͷ‫ ༻׆‬28) ΍ɼ‫ػ‬ցֶशͱҨ఻తΞϧΰϦζϜͷ

ͷΑ͏ͳ໰୊͸਺ཧ‫ܭ‬ը๏ͷ෼໺Ͱଟ໨త‫ܭ‬ը๏ͱͯ͠

ซ༻ 29) ͳͲɼඇ৵ऻతͳΞϓϩʔνͳΒͰ͸ͷ࣮૷ࣗ‫͔͘ݹ‬Β‫͞ڀݚ‬Εɼ‫ٻر‬ਫ४ʹ‫ͮ͘ج‬ख๏ 26) ͳͲ༷ʑ༝౓ͷߴ͞͸ଞʹͳ͍ར఺Ͱ͋Γɼߤۭ‫ػ‬ͷ։ൃ෼໺Ͱ

ͳղ๏͕ఏҊ͞Ε͍ͯΔɽ͍ͣΕͷղ๏Ͱ΋ύϨʔτ΋ඪ४తͳख๏ͷҰͭͱͳΓͭͭ͋Δɽղ‫܈‬Λಉ࣌ʹ‫ٻ‬ΊΔ͜ͱ͸೉͍͠ͱ͞Ε͖͕ͯͨɼ͜Εͯ͞ɼ࣮͸ 2007 ೥ʹɼ౰࣌౦๺େֶͷத‫ڮ‬ઌੜ͕ߤΛղܾ͢ΔਐԽ‫ࢉܭ‬Λ࣍ஈམͰ঺հ͢Δɽ·ͨޯ഑๏ͷۭ‫࠷ػ‬దઃ‫͍ͯͭʹܭ‬ͷղઆ‫ࣄه‬Λʮͳ͕Εʯʹ‫͞ߘد‬ผͷ՝୊ͱͯ͠ɼຊ࣭తʹ‫࠷ॴہ‬దԽख๏Ͱ͋ΓɼେҬΕ͍ͯΔ 30) ɽຊઅͷ಺༰͸ͦͷ౰͔࣌Βେ͖͘มΘΒతͳ࠷దղΛ୳͠ग़͢͜ͱ͕೉͍͜͠ͱ΋‫͛ڍ‬ΒΕΔɽ ͳ͍Α͏ʹ‫ͭͭ͡ײ‬΋ɼ࿈੒ղੳʹର͢Δ࠷దԽͳͲɼ
࠷‫ʹޙ‬ɼਵ൐๏Ͱ͸໨తؔ਺ຖʹਵ൐ํఔࣜΛఆࣜԽ͢ ෳ߹ྖҬͷଟ໨త࠷దԽʹ͍ͭͯ͸࣮Ԡ༻΋‫ؚ‬Ίେ͖
Δඞཁ͕͋Δ͜ͱʹ΋஫ҙ͍͕ͨ͠ɼ͜Εʹؔͯ͠͸ࣗ͘ਐల͕͋ͬͨͷͰ͸ͱࢥ͏ɽҰํͰɼઃ‫ܭ‬ม਺ͷൣғಈඍ෼Λ༻͍Δ཭ࢄ‫ܕ‬ղ๏ʹΑΓղܾ͞Εͭͭ͋Δɽ

΍໨తؔ਺ͷ‫ڍ‬ಈ͕༧ଌࠔ೉ͳ໰୊ʹର͢Δ࠷దԽ͸ɼඇޯ഑๏ʹ෼ྨ͞ΕΔਐԽ‫Ͱࢉܭ‬͸ɼେҬతͳଟ໨త

ґવͱͯ͠೉͍͠ɽྫ͑͹‫ط‬ଘ‫ͱػ‬େ͖͘‫ܗ‬ଶͷҟͳ࠷దԽ͕ՄೳͱͳΔɽۙ೥Ͱ͸ࡾඛεϖʔεδΣοτΔ‫ػ‬ମઃ‫ܭ‬ʢۭඈͿΫϧϚɼਫૉߤۭ‫Ͳͳػ‬Λ૝૾ͯ͠ͳͲɼ੩తۭ஄Λ‫ؚ‬Ήཉ͍͠ʣΛߟ͑ΔͱɼຊઅͰ঺հͨ͠‫ܗ‬ঢ়࠷దԽ͚ͩͰ

࣮༻໰୊ʹରͯ͠΋ͦͷ༗༻ੑ͕ࣔ͞Ε͍ͯΔɽਐԽ

͸ෆे෼Ͱ͋Γɼτϙϩδʔ࠷దԽ 31) ͳͲ΋‫ͨ͠༻׆‬‫ࢉܭ‬ͷ୅දྫͰ͋Δଟ໨తҨ఻తΞϧΰϦζϜͰ͸ɼҟ౷߹తͳٕज़։ൃ͕๬·ΕΔɽʢ‫ چ‬MRJʣͷۭྗߏ଄࠷దԽ

27)

航空機の設計と流れ

14·ͨɼલઅͷඇఆৗཚྲྀղੳ΋࣮ࡍͷઃ‫Ͱܭ‬͸ະͩଟߏ଄΍ઃ‫ܭ‬Λ࿩୊ʹग़ͣ͞ʹٞ࿦͢Δ͜ͱ͕೉͍͠ͱ

͘͸‫͞༻׆‬Ε͍ͯͳ͍ɽྫ͑͹ɼਤ 1 ͷ੕ҹʹ૬౰͢Δ

͍͏͜ͱ΋ɼ͜ͷ‫ࣄه‬Λ௨ͯ͡গ͠Ͱ΋఻ΘΕ͹޾͍Ͱঢ়ଶ͸ɼҾ͖‫Ͳͳ͜͠ى‬ͷӡಈʹ൐ͬͯ‫ػ‬ମ΁‫͍ڧ‬ՙॏ

͋Δɽ

͕࡞༻͢ΔͨΊɼߏ଄ͷઃ‫ܭ‬৚݅ͱͳΓಘΔɽ͜͏ͨ͠
ঢ়ଶͷۭྗՙॏʹ͸ɼఆৗۭ‫ྗؾ‬Λ‫ͨ͠ʹݩ‬ӡಈγϛϡँࣙϨʔγϣϯͷ݁ՌΛ༻͍Δ͜ͱ͕ଟ͍΋ͷͷɼӡಈதʹຊߘͰ৮Εͨ࿩୊ͷଟ͘͸ɼ౦๺େֶͷେྛໜઌੜɾ

࣌ʑࠁʑͱมԽ͢ΔྲྀΕͷӨ‫ڹ‬΍෼෍ՙॏ·Ͱ‫ʹີݫ‬Ԭ෦๎Ӭઌੜɾম໺ཟࢠઌੜɾԼࢁ޾࣏ઌੜΛ࢝Ίͱ͢ߟྀͰ͖ͳ͍͜ͱ͕ҰൠతͰ͋ΔɽΑΓߴਫ਼౓ͳۭྗ

Δଟ͘ͷઌੜํ΍ɼࠃ಺ߤۭॏ޻ϝʔΧͷํʑ͔Β‫͑ڭ‬ՙॏਪࢉʹ͸ɼཌྷ໘িܸ೾ͷ‫౓ڧ‬΍Ґஔɾണ཭Ґஔͷม͍͍ͯͨͩͨ΋ͷͰ͋Γɼ·ͨ঺հͨ͠‫ڀݚ‬ͷଟ͘͸ֶԽΛ༧ଌՄೳͳඇఆৗཚྲྀղੳ͕๬·͍͠ɽ͔͠͠΍ੜͷํʑʢҏୡप‫͞ޗ‬Μɼࢁ㟒ஐ‫͞ج‬Μɼͦͷଞଟ਺ʣ͸Γɼ൓෮‫ࢉܭ‬Λଟ༻͢Δ‫ݱ‬ঢ়ͷۭྗߏ଄ઃ‫ܭ‬ϓϩηεͱͷ‫಺ڀݚ‬༰Λ‫͢·͍ͯ͠ʹج‬ɽ‫ڀݚ‬ͷҰ෦͸ɼJST ૑ʹ͓͍ͯɼ‫ࢉܭ‬ίετͷߴ͍ඇఆৗཚྲྀղੳΛͦͷ··औΓೖΕΔ͜ͱ͸ඇ‫࣮ݱ‬తͩΖ͏ɽ΋ͪΖΜɼઃ‫ʹܭ‬༻͍Δղੳͱɼ‫ݱ‬৅ཧղʹ༻͍Δղੳ͸੾Γ෼͚Δɼͱ
͍͏ߟ͑ํʹै͏΂͖͔΋͠Εͳ͍ɽ͔͠͠ҰํͰɼ‫ط‬ൃత‫ࢧڀݚ‬ԉࣄ‫( ۀ‬JPMJFR2124)ɼࠃཱ‫ڀݚ‬։ൃ๏ਓ৽
ΤωϧΪʔɾ࢈‫ٕۀ‬ज़૯߹։ൃ‫( ߏػ‬NEDO) ͷҕୗ‫ۀ‬຿ (JPNP20010) ͷࢧԉΛड͚ͨ΋ͷͰ͢ɽؔ܎֤Ґʹ͜ͷ৔ΛआΓͯਂ͘‫ྱޚ‬ਃ্͛͠·͢ɽଘͷ෼཭൓෮‫ܕ‬ղ๏Λલఏͱ͠ͳ͍࿈੒ղੳख๏ 32) ͳͲɼ֤෺ཧ‫ܥ‬ͷߴ஧࣮ղੳΛ࿈੒໰୊ͷղੳʹ༰қʹऔҾ༻จ‫ݙ‬

ΓೖΕɼ·ͨઃ‫ʹܭ‬΋‫༻׆‬Մೳͱ͢Δൈຊతʹ৽͍͠ํ1) Anderson, J. D.: Introduction to Flight, McGrawHill Series in Aeronautical and Aerospace Engineer-๏࿦͕ࠓ·͞ʹඞཁͱ͞Ε͍ͯΔͷͰ͸ɼͱ΋‫͡ײ‬Δɽ

6

࠷‫ʹޙ‬

2024 ೥ͷ೥࢝͸ೳొ൒ౡ஍਒ʹ࢝·ΓɼຊߘΛࣥච
͢Δࠓ΋ਂࠁͳඃ֐ঢ়‫͕گ‬೔ʑใ͡ΒΕ͍ͯΔɽ·ͨ͜Εʹؔ࿈ͨ͠ӋాۭߓͰͷߤۭ‫ػ‬িಥࣄ‫ނ‬΋ൃੜ͠ɼߤۭ޻ֶ෼໺ʹগ͠Ͱ΋‫ܞ‬ΘΔऀͱͯ͠վΊͯ਎͕Ҿ
͖క·Δࢥ͍Ͱ͋ͬͨɽ͜ͷΑ͏ͳࣄ‫ͯ͠ࡍʹނ‬ඞͣண໨͞ΕΔͷ͕‫ػ‬ମͷ҆શੑͰ͋Γɼ͜ΕΛอূ͢Δ࢓૊Έ͕ߤۭ‫ػ‬ͷ଱ۭূ໌Ͱ͋Δɽͦͷऔಘʹ͸ɼେ‫ཱྀܕ‬٬‫Ͱػ‬͸ಛʹ‫͍͠ݫ‬ೝূϓϩηε͕՝͞Εɼ༷ʑͳ‫఺؍‬͔Β‫ػ‬ମ͕҆શͰ͋Δ͜ͱΛূ໌͠ͳ͚Ε͹ͳΒͳ͍ɽۙ೥ɼ͜ͷೝূϓϩηεʹ਺஋ղੳΛಋೖ͢Δ࢓૊ΈʢCbA: certiﬁcation by analysisʣ͕ண໨͞Εɼߏ଄ઃ‫ܭ‬ͷ෼໺Ͱ͸஍্ࢼ‫ݧ‬Λ୅ସ͢Δߏ଄ CbA ͱͯ͠ࠃࡍతʹ΋ٞ࿦͕ਐΜͰ͍ΔɽҰํͰɼඈߦࢼ‫ݧ‬Λ୅ସ͢Δඈߦੑ CbA Ͱ͸ɼ͋ΒΏΔ‫͍͠ݫ‬৚݅ͷඈߦঢ়ଶΛ਺஋ղੳʹΑΓ࠶‫͢ݱ‬Δٕज़͕‫ٻ‬ΊΒΕΔɽ͜͜Ͱ࠶ͼਤ 1
ʹ໭Δ͕ɼ͢ͳΘͪඈߦੑ CbA ͷ࣮‫ʹݱ‬͸ϑϥΠτΤ
ϯϕϩʔϓ‫ڥ‬քͷ਺஋ղੳ͕ඞཁͱ͞ΕΔɽ͜ͷΑ͏ͳ‫͔఺؍‬Β΋ɼඇ८ߤঢ়ଶͷۭྗղੳͷٕज़తཱ֬ɼ·ͨͦΕʹ෇ਵ͢Δྲྀମߏ଄࿈੒ղੳٕज़ͷ‫ڀݚ‬։ൃ͸ࠓ‫ޙ‬΋த৺త՝୊Ͱ͋Ζ͏ͱߟ͑Δɽ࠷‫ͳʹޙ‬Δ͕ɼߤۭ‫ػ‬ͷྲྀΕΛςʔϚʹͨ͠ղઆ‫ࣄه‬ͱͯ͠͸‫ػ‬ମઃ‫دܭ‬Γͷ࿩͕ଟ͘ɼྲྀମྗֶͷ৽͍͠࿩୊͕গͳ͔͔ͬͨ΋͠Εͳ͍ɽ·ͨɼଞͷॏཁͳ࿩୊

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