宇宙航空研究開発機構研究開発報告 JAXA Research and Development Report

ロータと胴体の干渉流れ場に関する実験的研究

田辺 安忠, 齊藤 茂, 小曳 昇, 室田 勝一 林 恭平, 平岡 克己, 菅原 瑛明

2010年8月

宇宙航空研究開発機構

Japan Aerospace Exploration Agency

宇宙航空研究開発機構研究開発報告

JAXA Research and Development Report

JAXA-RR-10-003

________________________________________________________________________________________________

* ᖹᡂ ᖺ ᭶ ᪥ཷ௜5HFHLYHG-XQH

*1 ⯟✵ࣉࣟࢢ࣒ࣛࢢ࣮ࣝࣉ㐠⯟࣭Ᏻ඲ᢏ⾡ࢳ࣮࣒

2SHUDWLRQDQG6DIHW\7HFKQRORJ\7HDP$YLDWLRQ3URJUDP*URXS

*2 ◊✲㛤Ⓨᮏ㒊㢼Ὕᢏ⾡㛤Ⓨࢭࣥࢱ࣮

:LQG7XQQHO7HFKQRORJ\&HQWHU$HURVSDFH5HVHDUFKDQG'HYHORSPHQW'LUHFWRUDWH

*3 ᮾᾏ኱Ꮫ72.$,8QLYHUVLW\

*4 (ᰴ)⳻཭ࢩࢫࢸ࣒ࢬ5\R\X6\VWHPV&R/WG

⏣㎶ Ᏻᛅ ^*1, 㰺⸨ ⱱ ^*1, ᑠ᭥ ᪼ ^*1, ᐊ⏣ ຾୍ ^*2

ᯘ ᜤᖹ ^*3, ᖹᒸ ඞᕫ ^*3

Ⳣཎ ⍛᫂ ^*4

An Experimental Study of the Rotor/Fuselage Interaction

Yasutada TANABE

^*1

, Shigeru SAITO

^*1

, Noboru KOBIKI

^*1

, Katsuichi MUROTA

^*2

Kyohei HAYASHI

^*3

, Katsumi HIRAOKA

^*3

and Hideaki SUGAWARA

^*4

Abstract

This paper presents the results of a series of wind tunnel tests on aerodynamic interaction between the rotor and the fuselage. A model rotor test stand JMRTS (JAXA Multi-purpose Rotor Test System) has been used to obtain time-averaged and ensemble-averaged data such as pressure on the blades and fuselage, rotor forces and moments. The blade motions were also calibrated in terms of the collective pitch, flapping and lead-lag angles under both hovering and forward flight conditions. The fuselage of JMRTS is designed after a typical helicopter shape. In the hover cases, it was confirmed that when the rotor thrust was increased, pressure fluctuations on the fuselage increased in amplitude, with the downwash intensified. Moreover, it was spotted in the forward flight cases that time-average pressure distribution measured along a crossline of the fuselage is so asymmetric that the pressure on the retreating side is lower than that on the advancing side. Furthermore, the authors underpinned that the average pressure measured on the fuselage was expressly subject to the rotor downwash when the advance ratio was less than 0.1, while it appeared less affected when the advance ratio was more than 0.1. Consequently, an experimental database, which shall be disclosed to the public for validating CFD codes, was successfully established.

Key Words: Helicopter, Aerodynamics, Wind tunnel testing, Rotor/Fuselage Interaction, JMRTS

ᴫ せ

ᮏ◊✲ࡣ࣮ࣟࢱヨ㦂⿦⨨࡜ࡋ࡚Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ(JAXA)ࡀᡤ᭷ࡍࡿከ┠ⓗ࣮ࣟࢱヨ㦂⿦⨨㸦JAXA Multi-purpose Rotor Test System, JMRTS㸧࡟࣊ࣜࢥࣉࢱࡢ௦⾲ⓗ࡞ᙧࢆࡋࡓ⬗యᶍᆺࢆタ⨨ࡋࠊ࣍ࣂࣜࣥࢢ࠿

ࡽ๓㐍㣕⾜ࡲ࡛ࠊࡉࡲࡊࡲ࡞ヨ㦂᮲௳࡛࣮ࣟࢱ࡜⬗యࡢ✵ຊᖸ΅࡟ࡘ࠸࡚ࡢヨ㦂ࢆ⾜ࡗࡓࠋᇶᮏ✵ຊࢹ࣮ࢱ

࡜ඹ࡟ࠊࣈ࣮ࣞࢻ࡜⬗య⾲㠃ࡢᖹᆒᅽຊศᕸཬࡧᅽຊኚືࠊࣈ࣮ࣞࢻࡢ㐠ືࢹ࣮ࢱࢆྲྀᚓࡋࡓࠋ࣍ࣂࣜࣥࢢ ヨ㦂࡛ࡣࠊ᥎ຊࡢቑຍ࡜࡜ࡶ࡟ࢲ࢛࢘ࣥ࢘ࢵࢩࣗ࡟ࡼࡿ⬗యୖࡢᅽຊኚືࡶ኱ࡁࡃ࡞ࡿࡇ࡜ࡀ☜ㄆ࡛ࡁࡓࠋ ๓㐍㣕⾜ヨ㦂࡛ࡣࠊ⬗యࢡࣟࢫࣛ࢖ࣥୖࡢᖹᆒᅽຊࡣ㠀ᑐ⛠࡛࠶ࡾࠊࣈ࣮ࣞࢻᚋ㏥ഃ࡛ᅽຊࡀ㈇ᅽ࡟࡞ࡿࡇ

࡜ࡀ☜ㄆ࡛ࡁࡓࠋࡲࡓࠊ๓㐍⋡ȝ=0.1௨ୗ࡛ࡣࢲ࢛࢘ࣥ࢘ࢵࢩࣗࡢᙳ㡪ࡀ㢧ⴭ࡛࠶ࡾࠊȝ=0.1௨ୖ࡛ࡣࢲ࢘ࣥ࢘

࢛ࢵࢩࣗࡢᙳ㡪ࡀ࡯࡜ࢇ࡝࡞࠸ࡇ࡜ࡀ☜ㄆࡉࢀࡓࠋᮏヨ㦂ࡼࡾࠊ࣮ࣟࢱ࡜⬗యࡢ✵ຊᖸ΅ࢆᤊ࠼ࡓCFDࡢ᳨

ド⏝ࡢࢹ࣮ࢱࡀᚓࡽࢀࡓࠋ

グྕ

JMRTS JAXA Multi-purpose Rotor Test System ከ┠ⓗ࣮ࣟࢱヨ㦂2⿦⨨

V’ ୍ᵝὶ㏿ᗘ T Ẽὶ ᗘ ȡ Ẽὶᐦᗘ a 㡢㏿

M’ ୍ᵝὶ࣐ࢵࣁᩘ

ȝ ๓㐍⋡

Vtip ⩼➃㏿ᗘ M_tip ⩼➃࣐ࢵࣁᩘ

Į ᶵయጼໃゅ Įs ࢩࣕࣇࢺ࢔ࣥࢢࣝ

N ࣮ࣟࢱᅇ㌿ᩘ

C_X ᢠຊಀᩘ

CY ᶓຊಀᩘ

C_T ᥎ຊಀᩘ

C_MX ࣮ࣟࣜࣥࢢ࣮࣓ࣔࣥࢺಀᩘ

C_MY ࣆࢵࢳࣥࢢ࣮࣓ࣔࣥࢺಀᩘ

C_MZ ࣮ࣚ࢖ࣥࢢ࣮࣓ࣔࣥࢺಀᩘ

C_Q ࢺࣝࢡಀᩘ C_Q = -C_MZ c ࢥ࣮ࢻ㛗

R ࣮ࣟࢱ༙ᚄ r ࣈ࣮ࣞࢻࢫࣃࣥ㛗 Ȍ ࣈ࣮ࣞࢻ᪉఩ゅ

ș0 ࢥࣞࢡࢸ࢕ࣈ࣭ࣆࢵࢳゅ ș_1c ᶓࢧ࢖ࢡࣜࢵࢡ࣭ࣆࢵࢳゅ ș_1s ⦪ࢧ࢖ࢡࣜࢵࢡ࣭ࣆࢵࢳゅ ȕ₀ ࣇࣛࢵࣆࣥࢢゅ

ȕ1c ๓ᚋ᪉ྥࡢࣇࣛࢵࣆࣥࢢゅ ȕ_1s ᕥྑ᪉ྥࡢࣇࣛࢵࣆࣥࢢゅ ȗ₀ ࣮ࣜࢻ࣭ࣛࢢゅ

ȗ1c 1ḟࡢㄪ࿴᣺ືࡢcosineᡂศ

ȗ_1s 1ḟࡢㄪ࿴᣺ືࡢsineᡂศ

Cp’ ᅽຊಀᩘ㸦୍ᵝὶV’ࡢືᅽ࡛↓ḟඖ໬㸧 C_pa ᅽຊಀᩘ㸦㡢㏿aࡢືᅽ࡛↓ḟඖ໬㸧

Cptip ᅽຊಀᩘ㸦⩼➃㏿ᗘV_tipࡢືᅽ࡛↓ḟඖ໬㸧

Ȥ ࣮ࣟࢱᚋὶࡢഴࡁゅ(Skew angle)

Ȝ ὶධẚ

㸬 ᗎㄽ

࣊ࣜࢥࣉࢱࡣᗈ࠸⁥㉮㊰ࢆᚲせ࡜ࡏࡎ⊃࠸ሙᡤ࡛

ࡶ㞳╔㝣ࡀྍ⬟࡛✵୰೵Ṇ࡛ࡁࡿඃࢀࡓ㣕⾜≉ᛶࢆ

ࡶࡗ࡚࠸ࡿࡓࡵࠊ௚ᅜ࡟ẚ࡭ᅜᅵࡢ⊃࠸ᓥᅜࡢ᪥ᮏ

࡟࡜ࡗ࡚ࡣ≉࡟㐠⯟࡟㐺ࡋ࡚࠸ࡿ࡜⪃࠼ࡽࢀࡿࠋ㏆

ᖺ࡛ࡣࢻࢡࢱ࣮࣊ࣜࢆጞࡵࠊᾘ㜵ࠊᩆᛴ⏝ࡢ࣊ࣜࢥ

ࣉࢱࡢฟືᅇᩘࡀᛴ㏿࡟ቑ࠼࡚ࡁ࡚࠾ࡾࠊᕷ⾤ᆅୖ

✵࡟࠾ࡅࡿ㐠⏝ࡀ௒ᚋࡶ┈ࠎቑຍࡍࡿ࡜⪃࠼ࡽࢀ࡚

࠸ࡿࠋࡋ࠿ࡋࠊ࣊ࣜࢥࣉࢱࡢⓎࡍࡿ㦁㡢ࡀཎᅉ࡛ࠊ ఫẸ࠿ࡽࡢⱞ᝟࡟ࡼࡾ㐠⯟ࡀไ⣙ࢆཷࡅࡿࡇ࡜ࡶ࠶

ࡾࠊ࣊ࣜࢥࣉࢱࡢ㦁㡢ࢆ୍ᒙపῶࡉࡏࡿᚲせࡀ࠶ࡿࠋ ࡇࡢࡓࡵࠊ࣊ࣜࢥࣉࢱࡢ㦁㡢ࡢⓎ⏕ཎᅉࡸ㦁㡢పῶ

⿦⨨ࡢຠᯝࡢゎ᫂ࡀ୙ྍḞ࡛࠶ࡾࠊCFDᢏ⾡ࢆά⏝

ࡋࡓ㧗⢭ᗘ࡞ὶࢀሙゎᯒࢶ࣮ࣝࡢᵓ⠏ࡀ㐍ࡵࡽࢀ࡚

࠸ࡿ¹⁾ࠋ

ࡲࡓࠊ࣊ࣜࢥࣉࢱࡣࡑࡢ⊂≉ࡢ㣕⾜≉ᛶࢆ⏕ࡳฟ ࡋ࡚࠸ࡿ࣮ࣟࢱ࠿ࡽࡢ྿ࡁୗࢁࡋ㢼ࡀ࠶ࡿࡓࡵࠊࣟ

࣮ࢱ࡜⬗యࡢ㛫࡛ὶࢀሙࡀᖸ΅ࡋࠊ⬗య࡟㠀ᐃᖖ࡞

✵ຊⲴ㔜ࡀᘬࡁ㉳ࡇࡉࢀࠊ࢟ࣕࣅࣥෆࡢ᣺ືࡸ㦁㡢ࠊ ᶵయࢆ⑂ປࡉࡏࡿࡇ࡜࡞࡝ࡢᙳ㡪ࢆཬࡰࡋ࡚࠸ࡿࠋ ࡑࡢࡓࡵࠊ࣮ࣟࢱ࡜⬗యࡢᖸ΅ὶࢀሙࢆ◊✲ࡍࡿࡇ

࡜ࡣ࣊ࣜࢥࣉࢱࡢᛌ㐺ᛶࡔࡅ࡛࡞ࡃࠊ᧯⦪ᛶࡸ㣕⾜

ᛶ⬟ࢆྥୖࡉࡏࡿୖ࡛㔜せ࡞஦࡜⪃࠼ࡿ²⁾ࠋ

࣊ࣜࢥࣉࢱࡢ࣮ࣟࢱ࡜⬗య࡟࠾ࡅࡿᖸ΅ὶࢀሙࡢ

◊✲ࡣୡ⏺୰࡛ከࡃᐇ᪋ࡉࢀ࡚࠾ࡾࠊ௦⾲ⓗ࡞౛࡜

ࡋ࡚ࡣ⬗యᶍᆺ࡜ࡋ࡚෇ᰕࢆ⏝࠸ࡓGTࣔࢹࣝ³⁾ࡸ࣊

ࣜࢥࣉࢱࡢ௦⾲ⓗ࡞⬗యᶍᆺࢆ⏝࠸ࡓROBIN(Rotor Body INteraction)⁴⁾ࠊDauphin 365N࡜࠸࠺ᐇᶵࡢᶍᆺ

ࢆ⏝࠸ࡓヨ㦂⁵⁾࡜࠸ࡗࡓࡶࡢࡀ࠶ࡿࠋ≉࡟ROBIN࡟

ࡼࡿᐇ㦂ࢹ࣮ࢱࡣCFDィ⟬ࡢẚ㍑ᑐ㇟⁶⁾࡜ࡋ࡚ከࡃ

฼⏝ࡉࢀ࡚࠸ࡿࠋࡋ࠿ࡋࠊROBINࣔࢹࣝࡢヨ㦂ࢹ࣮

ࢱࡶ㝈ᐃࡉࢀࡓ᮲௳ࡋ࠿බ㛤ࡉࢀ࡚࠾ࡽࡎࠊ✵ຊᖸ

΅ၥ㢟࡟ᑐࡍࡿ฼⏝ྍ⬟࡞ヨ㦂ࢹ࣮ࢱࡀᑡ࡞࠸ࡓࡵࠊ

⌧ᅾJAXA࡛㛤Ⓨࡀ㐍ࡵࡽࢀ࡚࠸ࡿCFDࢥ࣮ࢻ¹⁾ࡢ

᳨ドࢆᐇ᪋ࡍࡿࡓࡵ࡟ࡣࡉࡽ࡟ᖜᗈ࠸ヨ㦂ࢹ࣮ࢱࡀ ᚲせ࡛࠶ࡿࠋ

ࡑ ࡇ ࡛ ࠊJAXAᡤ ᭷ ࡢ ከ ┠ ⓗ ࣟ ࣮ ࢱ ヨ 㦂 ⿦ ⨨ 㸦JAXA Multi-purpose Rotor Test System, ௨ୗJMRTS

࡜࿧ࡪ㸧࡟࣊ࣜࢥࣉࢱࡢ௦⾲ⓗ࡞ᙧࢆࡋࡓ⬗యᶍᆺ

ࢆタ⨨ࡋࠊ࣍ࣂࣜࣥࢢ࠿ࡽ๓㐍㣕⾜ࡲ࡛ࠊࡉࡲࡊࡲ

࡞㣕⾜᮲௳࡛࣮ࣟࢱ࡜⬗యࡢ✵ຊᖸ΅࡟ࡘ࠸࡚ࡢ㢼 Ὕヨ㦂ࢆ⾜ࡗࡓࠋᮏ◊✲ࡢ┠ⓗࡣࠊᇶᮏ✵ຊࢹ࣮ࢱ

࡜⬗య⾲㠃ࡢᅽຊࡢኚື࠾ࡼࡧࣈ࣮ࣞࢻࡢ㐠ືࢹ࣮

ࢱࢆྲྀᚓࡋࠊ࣮ࣟࢱ࡜⬗యࡢ✵ຊᖸ΅ࡢㄪᰝཬࡧ CFDゎᯒࡢ᳨ド⏝ࡢࢹ࣮ࢱ࣮࣋ࢫࢆᵓ⠏ࡍࡿࡇ࡜࡟

࠶ࡿࠋᮏሗ࿌࡛ࡣࠊヨ㦂⿦⨨࡜ヨ㦂᮲௳ࠊཬࡧ࣍ࣂ

ࣜࣥࢢࠊ๓㐍㣕⾜᮲௳࡟࠾ࡅࡿᇶᮏ✵ຊ≉ᛶ࡜⬗య

⾲㠃ୖᅽຊࡢኚ໬࡟ࡘ࠸࡚㏙࡭ࡿࠋ

㸬ヨ㦂⿦⨨ཬࡧ᪉ἲ ィ ࢩࢫࢸ࣒

ᮏヨ㦂ࡢィ ࢩࢫࢸ࣒ᅗࢆ➨1ᅗ࡟♧ࡍࠋᮏヨ㦂ࡣࠊ JAXAᡤ᭷ࡢ6.5m×5.5mప㏿㢼Ὕ࡟࣊ࣜࢥࣉࢱࣔࢹ

ࣝࢆタ⨨ࡋᐇ᪋ࡋࡓࠋヨ㦂⿦⨨ࡢ᧯సࣃࢿ࡛ࣝ┠ᶆ ࡢヨ㦂᮲௳ࢆ୚࠼ࠊ✵ຊ6ศຊ㸦➨2ᅗ㸧ࠊ㠀ᐃᖖᅽຊࠊ

ࣈ࣮ࣞࢻゅᗘࠊṍࡳࠊ࣮ࣟࢱᅇ㌿ᩘ࡞࡝ࡢ㠀ᐃᖖࢹ

࣮ࢱࢆ㧗㏿ࢹ࣮ࢱࣞࢥ࣮ࢲ࡛グ㘓ࡋࠊẼὶ㏿ᗘࠊ✵

ẼᐦᗘࠊẼ ࠊ኱Ẽᅽ࡞࡝ࡢᐃᖖࢹ࣮ࢱࡣ㢼Ὕ௜ᒓ ࡢィ ࢩࢫࢸ࣒ࢆ⏝࠸࡚ィ ࢆ⾜ࡗࡓࠋࡲࡓࠊຍ㏿

ᗘィࢆ⏝࠸࡚ヨ㦂୰࡟࠾ࡅࡿᶍᆺࡢᏳ඲ᛶࢆ☜ㄆࡋ

࡚࠸ࡿࠋࣈ࣮ࣞࢻゅᗘࡣࠊࣈ࣮ࣞࢻࡢࣄࣥࢪ㒊ศ࡟

タ⨨ࡋࡓ࣮࣍ࣝࢭࣥࢧࢆ⏝࠸࡚ࣇ࢙ࢨࣜࣥࢢゅࠊࣇ

ࣛࢵࣆࣥࢢゅࠊ࣮ࣜࢻ࣭ࣛࢢゅࢆ ᐃࡋ࡚࠸ࡿࠋ➨1

⾲࡟ᮏヨ㦂࡛ ᐃࡋࡓ㠀ᐃᖖࢹ࣮ࢱ32Chࡢࢳࣕࣥ

ࢿࣝ⾲ࢆ♧ࡍࠋ

㻢㻚㻡㼇㼙㼉㻌 㽢㻡㻚㻡㼇㼙㼉㻌ప㏿㢼Ὕ

Ẽὶ Helicopter model

㻙

ᐇ㦂⿦⨨᧯స䝟䝛䝹

䝕䞊䝍䝺䝁䞊䝎 㽢

ᶵయጼໃゅ 䝁䝺䜽䝔䜱䝤䞉䝢䝑䝏 䝃䜲䜽䝸䝑䜽䞉䝢䝑䝏 䝻䞊䝍ᅇ㌿ᩘ

Ẽὶ㏿ᗘ㻘㻌✵Ẽᐦᗘ㻘㻌 ᗘ㻘㻌኱Ẽᅽ

✵ຊ䠒ศຊ

⬗య䠃䝤䝺䞊䝗⾲㠃ୖ㠀ᐃᖖᅽຊ 䝤䝺䞊䝗⾲㠃ୖṍ䜏

ṍ䜰䞁䝥

㢼Ὕ௜ᒓィ 䝅䝇䝔䝮 䝤䝺䞊䝗ゅᗘ

䝟䝹䝇ಙྕ

ຍ㏿ᗘィ 㻢㻚㻡㼇㼙㼉㻌 㽢㻡㻚㻡㼇㼙㼉㻌ప㏿㢼Ὕ

Ẽὶ Helicopter model

㻙

ᐇ㦂⿦⨨᧯స䝟䝛䝹

䝕䞊䝍䝺䝁䞊䝎 㽢

ᶵయጼໃゅ 䝁䝺䜽䝔䜱䝤䞉䝢䝑䝏 䝃䜲䜽䝸䝑䜽䞉䝢䝑䝏 ᶵయጼໃゅ 䝁䝺䜽䝔䜱䝤䞉䝢䝑䝏 䝃䜲䜽䝸䝑䜽䞉䝢䝑䝏 䝻䞊䝍ᅇ㌿ᩘ

Ẽὶ㏿ᗘ㻘㻌✵Ẽᐦᗘ㻘㻌 ᗘ㻘㻌኱Ẽᅽ

✵ຊ䠒ศຊ

⬗య䠃䝤䝺䞊䝗⾲㠃ୖ㠀ᐃᖖᅽຊ 䝤䝺䞊䝗⾲㠃ୖṍ䜏

ṍ䜰䞁䝥

㢼Ὕ௜ᒓィ 䝅䝇䝔䝮 䝤䝺䞊䝗ゅᗘ

䝟䝹䝇ಙྕ

ຍ㏿ᗘィ

➨1ᅗ ィ ࢩࢫࢸ࣒ᅗ

Z

Y

X CX

CY

CT

CMZ=-CQ

CMX

CMY

ȕ_1S

ȕ_1C V’

R

➨2ᅗ ࣮ࣟࢱ࡟ാࡃ✵ຊ6ศຊ

➨1⾲ ィ ࢳࣕࣥࢿࣝ⾲

Ch Nomenclature Range

1 Fx ±5V

2 Fy ±5V

3 Fz ±5V

4 Mx ±5V

5 My ±5V

6 Mz ±5V

7 Pf1 ±10V

8 Pf2 ±10V

9 Pf3 ±10V

10 Pf4 ±10V

11 Pf5 ±10V

12 Pf6 ±10V

13 Pf7 ±10V

14 Pf8 ±10V

15 Pf9 ±10V

16 Pf10 ±10V

17 Pf11 ±10V

18 Pf12 ±10V

19 Pf13 ±10V

20 Pf14 ±10V

21 Pf15 ±10V

22 Pblade11 ±10V

23 Pblade12 ±10V

24 Pblade13 ±10V

25 Pblade14 ±10V

26 SGblade1 ±5V

27 Gsensor1 ±5V

28 Rotation ±5V

29 B1_Flap ±5V

30 B1_Pitch ±5V

31 B1_LdRg ±5V

32 Pulse ±5V

ヨ㦂⿦⨨

㢼Ὕ⿦⨨

ᮏヨ㦂ࡣࠊJAXAࡀᡤ᭷ࡍࡿ6.5m×5.5mప㏿㢼Ὕࢆ

౑⏝ࡋࡓࠋ➨2⾲࡟㢼Ὕヨ㦂タഛࡢᇶᮏᛶ⬟ࢆ♧ࡍࠋ 㢼Ὕ ᐃ㒊ࡢ୰ኸ࡟タ⨨ࡉࢀࡓࢫࢺࣛࢵࢺୖ㒊࡟

JMRTSࢆഛ࠼௜ࡅࠊ㢼㊰୰ኸ࡟࣮ࣟࢱ㠃ࡀ࠶ࡿࡼ࠺

࡟ᐇ㦂ࢆ⾜ࡗࡓࠋࡲࡓࠊᮏヨ㦂࡟౑⏝ࡋࡓ࣮ࣟࢱヨ 㦂⿦⨨ࡢ┤ᚄࡣ⣙2m࡛࠶ࡾ㢼Ὕ ᐃ㒊ࡢ኱ࡁࡉ࡟

ᑐࡋ࡚ẚ㍑ⓗᑠࡉ࠸ࡓࡵࠊቨࡢᙳ㡪ࡣ⪃៖ࡏࡎቨᖸ

΅⿵ṇࡣ⾜ࡗ࡚࠸࡞࠸ࠋ

-$;$ከ┠ⓗヨ㦂⿦⨨

JMRTSࡣࠊࣈ࣮ࣞࢻࡢ⩼➃㏿ᗘࡀ㑄㡢㏿࡟࡞ࡿ㝿

࡟Ⓨ⏕ࡍࡿ⾪ᧁἼ࡟ࡼࡾᘬࡁ㉳ࡇࡉࢀࡿHSI㦁㡢ࡸ

╔㝣᫬࡟ࣈ࣮ࣞࢻ࡜ ࡀᖸ΅ࡍࡿ஦࡛Ⓨ⏕ࡍࡿBVI 㦁㡢ヨ㦂࡟ࡶ౑⏝ࡉࢀࠊᵝࠎ࡞࣮ࣟࢱࡢ✵ຊ≉ᛶࡸ

㡢㡪≉ᛶࢆ ᐃࡍࡿࡇ࡜ࡀྍ⬟࡞ヨ㦂⿦⨨࡛࠶ࡿࠋ

➨3ᅗ࡟㢼Ὕ ᐃ㒊ෆ࡟タ⨨ࡉࢀࡓJMRTSࢆ♧ࡍࠋ JMRTSࡣࠊ඲㛵⠇ᆺࣁࣈࢆᣢࡕࠊືຊ※ࡀ᭱኱㤿 ຊ37hpࡢ㟁ືᘧ࣮ࣔࢱࠊࣈ࣮ࣞࢻࡣ┿ୖ࠿ࡽぢ࡚཯

᫬ィ࿘ࡾ࡟ᅇ㌿ࡍࡿࠋྛࣈ࣮ࣞࢻࡢࣇ࢙ࢨࣜࣥࢢࠊ

ࣇࣛࢵࣆࣥࢢࠊ࣮ࣜࢻ࣭ࣛࢢ㐠ືࢆチᐜࡍࡿࡼ࠺࡟ࠊ ࡑࢀࡒࢀࣄࣥࢪࢆ௓ࡋ࡚࣮ࣟࢱ࡟᥋⥆ࡉࢀ࡚࠸ࡿࠋ

ࡲࡓࠊྛࣄࣥࢪࡣඹ㏻ࡢࣄࣥࢪ୰ᚰ఩⨨࡟᥋⥆ࡉࢀ

࡚࠾ࡾࠊඹ㏻ࣄࣥࢪࡢ࢜ࣇࢭࢵࢺ㔞ࡣ࣮ࣟࢱ୰ᚰ࠿

ࡽ44.5mm࡛࠶ࡿࠋ࣊ࣜࢥࣉࢱᐇᶵ࡛ࡣࠊᶵయጼໃゅ

Į࡜ࢩࣕࣇࢺ࢔ࣥࢢࣝĮ_sࡣ␗࡞ࡿ㸦➨4ᅗ㸧ࡀࠊᮏヨ

㦂࡛ࡣᶵయጼໃゅ࡜ࢩࣕࣇࢺ࢔ࣥࢢࣝࡣ୍య࡛ືࡃ ࡓࡵྠࡌゅᗘࢆ࡜ࡿࠋᚑࡗ࡚ࠊ๓㐍㣕⾜᮲௳ࡣࠊᶵ యጼໃゅĮࢆഴࡅࡿࡇ࡜࡛ᶍᨃࡋ࡚࠸ࡿࠋࡓࡔࡋࠊ ᶵయጼໃࡀᚋഴࡍࡿ᪉ྥࢆṇ࡜ࡋ࡚࠸ࡿࠋ

JMRTSࡢᵓᡂᴫせࢆ➨5ᅗ࡟♧ࡍࠋ6ศຊࡣෆᤄኳ

⛗࡛ィ ࡋࠊࣈ࣮ࣞࢻゅᗘࡣ࣮࣍ࣝࢭࣥࢧ࡛ィ ࢆ

⾜ࡗࡓࠋࡲࡓࠊᅇ㌿ഃ࡜ᅛᐃഃ㛫ࡢ㓄⥺ࡢࡡࡌࢀ➼

ࢆ㜵Ṇࡍࡿࢫࣜࢵࣉࣜࣥࢢࢆ㏻ࡌ࡚ࢹ࣮ࢱࢆྲྀᚓࡋ

࡚࠸ࡿࠋ

➨2⾲ 㢼Ὕᇶᮏᛶ⬟

ᙧᘧ ኱Ẽᅽ㐃⥆ᚠ⎔ᘧ

᭱኱㢼㏿ 70 m/s

᭱ᑠ㢼㏿ 1 m/s

 ᐃ㒊 6.5m ×5.5 m

(a) 㢼Ὕ ᐃ㒊ෆ࡛ࡢJMRTS

㼇㻌㼙㻌㼉 㻞㻚㻜㻠㻞

Free flow

㻟㻚㻞 㻡

㻝㻚㻡㻢

㼇㻌㼙㻌㼉 㻞㻚㻜㻠㻞

Free flow

㻟㻚㻞 㻡

㻝㻚㻡㻢

(b) JMRTSഃ㠃ᅗ

➨3ᅗ 㢼Ὕ ᐃ㒊ෆ࡟タ⨨ࡉࢀࡓJMRTS

䝻䞊䝍㠃

୍ᵝὶV₈ ᶵయጼໃゅa

䝅䝱䝣䝖䜰䞁䜾䝹as

➨4ᅗ ᶵయጼໃゅ࡜ࢩࣕࣇࢺ࢔ࣥࢢࣝ

䝻䞊䝍㠃

୍ᵝὶV8 ᶵయጼໃゅa

䝅䝱䝣䝖䜰䞁䜾䝹as

➨4ᅗ ᶵయጼໃゅ࡜ࢩࣕࣇࢺ࢔ࣥࢢࣝ

➨5ᅗ JMRTSᵓᡂᴫせᅗ

࣮ࣟࢱ࣭ࣈ࣮ࣞࢻ

➨3⾲࡟ᮏヨ㦂࡟౑⏝ࡋࡓࣈ࣮ࣞࢻࡢㅖඖࠊ➨6ᅗ

࡟ࣈ࣮ࣞࢻࡢᴫせᅗࢆ♧ࡍࠋࣈ࣮ࣞࢻᙧ≧ࡣ㛗᪉ᙧ

࡛ࠊࣈ࣮ࣞࢻ⩼➃఩⨨࡛-8.168deg࡟࡞ࡿࡼ࠺࡟⥺ᙧ

ⓗ࡟᤟ࡾୗࡆࡀࡘ࠸࡚࠸ࡿࠋࣈ࣮ࣞࢻࡢᮦ㉁ࡣࣂࣝ

ࢧᮦ࡛ᙧᡂࡉࢀ࡚࠸ࡿࠋࡲࡓࠊࣈ࣮ࣞࢻ⾲㠃ୖࡢᅽ ຊ࡜ᙎᛶኚᙧ㔞ࢆ ᐃࡍࡿࡓࡵࠊ4ᯛࣈ࣮ࣞࢻࡢෆࡢ 2ᯛ࡟㠀ᐃᖖᅽຊࢭࣥࢧࠊṧࡾ2ᯛࡣṍࡳࢤ࣮ࢪࢆྲྀ

ࡾ௜ࡅࡓࠋᅽຊࢭࣥࢧࡢ㓄⨨ࢆ➨6ᅗ(b)࡟♧ࡍࠋ㠀 ᐃᖖᅽຊࢭࣥࢧࡣࠊKulite♫〇ࡢ10psiࠊඹ᣺࿘Ἴᩘ

175kHzࡢᑠᆺ㧗ឤᗘᕪᅽᘧᅽຊࢭࣥࢧࢆ౑⏝ࡋࡓࠋ ࡓࡔࡋࠊࢭࣥࢧࡀᕪᅽᘧ࡛࠶ࡿࡓࡵࠊᮏ◊✲࡛ࡣィ  ࡋࡓᅽຊ್࠿ࡽᖹᆒ್ࢆᕪࡋᘬ࠸ࡓኚື್ࢆཧ⪃

࡟ࡋ࡚࠸ࡿࠋ

ࣈ࣮ࣞࢻࡢࣆࢵࢳゅࡣࠊ࣮ࣟࢱ୰ᚰ࠿ࡽ21mm㞳

ࢀࡓ࡜ࡇࢁ࡟࠶ࡿࣈ࣮ࣞࢻ᰿ඖࡢゅᗘࢆィ ࡋ࡚࠸

ࡿࠋ࣮ࣟࢱ୰ᚰ࠿ࡽࣈ࣮ࣞࢻ௜᰿㒊ࡲ࡛ࡢ㊥㞳࡛࠶

ࡿ࣮ࣝࢺ࣭࢝ࢵࢺࡣ0.206m࡛ࣈ࣮ࣞࢻ඲㛗࡟ᑐࡋ࡚

20.2%࡛࠶ࡿࠋࡲࡓࠊࣈ࣮ࣞࢻ༢యࡢ㉁㔞ࡣ0.74kg

࡛ࠊ࣮ࣟࢱࡢྲྀࡾ௜ࡅ㒊ࡲ࡛ྵࡵࡿ࡜2.4kg࡛࠶ࡿࠋ

ࣈ ࣞ ࣮ ࢻ ࡢ ࣇ ࣛ ࢵ ࣆ ࣥ ࢢ ័ ᛶ ࣔ ࣮ ࣓ ࣥ ࢺI_bࡣ 0.186kg࣭m²࡜࡞ࡗ࡚࠸ࡿࠋ

➨3⾲ ࣮ࣟࢱ࣭ࣈ࣮ࣞࢻㅖඖ

䝤䝺䞊䝗ᯛᩘ 4

䝻䞊䝍༙ᚄ 1.021 m 䝤䝺䞊䝗⩼ᆺ NACA0012

⩼ᘻ㛗 0.065 m

᤟䜚ୗ䛢 8.168 deg

䝹䞊䝖䜹䝑䝖 0.206 m (20.2%R)

䠄b䠅Blade section with pressure sensors( In 90% Radial position) 765 725

1000 65

900

865 815

65 㼇㼙㼙㼉

1021

921

4%C 1%C 7%C

90% Radial position 4%C

1%C 7%C

Chord length C = 65 Rotor center

Pressure sensor

䠄a䠅Blade dimension

䠄b䠅Blade section with pressure sensors( In 90% Radial position) 765 725

1000 65

900

865 815

65 㼇㼙㼙㼉

1021

921

4%C 1%C 7%C

90% Radial position 4%C

1%C 7%C

Chord length C = 65 Rotor center

Pressure sensor

䠄a䠅Blade dimension

➨6ᅗ ࣈ࣮ࣞࢻᴫせᅗ

⬗యᶍᆺ

ᮏヨ㦂࡟౑⏝ࡋࡓ⬗యᶍᆺᴫせᅗࢆ➨7ᅗ࡟♧ࡍࠋ ࡇࡇ࡛ࠊẼὶ᪉ྥࡣX㍈᪉ྥ࡜୍⮴ࡋ࡚࠾ࡾࠊᗙᶆ ࡣࠊ࣮ࣟࢱ୰ᚰࢆཎⅬ࡜ࡋ࡚࠸ࡿࠋࡲࡓࠊ⬗యᙧ≧

ࢹ࣮ࢱࡣ௜㘓ࡢ௜⾲1࡟♧ࡋࡓࠋࡇࡢ⬗యᶍᆺࡣࠊ࣊

ࣜࢥࣉࢱࡢ௦⾲ⓗ࡞ᙧࢆᶍᨃࡋ࡚࠾ࡾࠊ㰯ඛࡀ✺ࡁ ฟ࡚⬗య⾲㠃ࡀᛴ⃭࡞᭤⋡ࢆࡶࡗ࡚࠸ࡿࠋ⬗య⾲㠃

ୖ࡟ࡣࠊୖ㠃࡜ഃ㠃࡟ィ15Ⅼࡢ㠀ᐃᖖᅽຊࢆྲྀࡾ௜

ࡅࡓࠋ㠀ᐃᖖᅽຊࢭࣥࢧྲྀࡾ௜ࡅ఩⨨ࢆ➨8ᅗ࡟♧ࡍࠋ ࡇࡢࢭࣥࢧࡣKulite♫〇ࡢ5psiࠊඹ᣺࿘Ἴᩘ150kHz ࡢᑠᆺ㧗ឤᗘᕪᅽᘧᅽຊࢭࣥࢧࢆ౑⏝ࡋࡓࠋࢭࣥࢧ ࡢྲྀࡾ௜ࡅᗙᶆ఩⨨ࡣ➨4⾲࡟♧ࡍࠋ

➨7ᅗ ⬗యᴫせᅗ

➨4⾲ ᅽຊࢭࣥࢧࡢྲྀࡾ௜ࡅ఩⨨ᗙᶆ

[m]

1.56 0.68

Center of rotor Pf 1

Pf 2

Pf 4 Pf 8

Pf 10 Pf 9

Pf 3 Pf 7 Pf 6 Pf 5

Pf 11 Pf 13 Pf 15 Pf 12 Pf 14 Y

X Z

0.44

[m]

1.56 0.68

Center of rotor Pf 1

Pf 2

Pf 4 Pf 8

Pf 10 Pf 9

Pf 3 Pf 7 Pf 6 Pf 5

Pf 11 Pf 13 Pf 15 Pf 12 Pf 14 Y

X Z

0.44

No X [m] Y [m] Z [m]

Pf 1 -0.680 0 -0.459

Pf 2 -0.526 0 -0.285

Pf 3 -0.369 0 -0.213

Pf 4 -0.212 0 -0.068

Pf 5 -0.212 -0.207 -0.125 Pf 6 -0.212 -0.167 -0.083 Pf 7 -0.212 -0.112 -0.066 Pf 8 -0.212 0.111 -0.067 Pf 9 -0.213 0.165 -0.081

Pf 10 -0.213 0.205 -0.120

Pf 11 0.257 0 -0.072

Pf 12 0.412 0 -0.141

Pf 13 0.569 0 -0.214

Pf 14 0.725 0 -0.258

Pf 15 0.880 0 -0.402

➨8ᅗ ⬗య⾲㠃ࡢᅽຊࢭࣥࢧྲྀࡾ௜ࡅ఩⨨

ヨ㦂᮲௳ཬࡧࢹ࣮ࢱฎ⌮᪉ἲ ヨ㦂᮲௳

ᮏヨ㦂࡛ᐇ᪋ࡋࡓヨ㦂᮲௳ࢆ௨ୗ࡟♧ࡍࠋ 1. ࣮ࣟࢱ࣭ࣁࣈࡢࡳࡢᅇ㌿ヨ㦂

2. ࣍ࣂࣜࣥࢢ㣕⾜᮲௳࡛⩼➃࣐ࢵࣁᩘM_tip=0.188

㹼0.565ࡲ࡛ኚ᭦ࡋࡓ࣮ࣟࢱᛶ⬟ヨ㦂 3. M_tip=0.31, 0.56࡟࠾ࡅࡿ࣍ࣂࣜࣥࢢᛶ⬟ヨ㦂 4. Mtip=0.31, 0.56࡟࠾ࡅࡿ๓㐍㣕⾜ᛶ⬟ヨ㦂 5. Mtip=0.31࡟࠾ࡅࡿBVIⓎ⏕᮲௳࡛ࡢ㢼Ὕヨ㦂 ᶍᆺࡢࢺ࣒ࣜࡣࠊᶍᆺࡢࣆࢵࢳࣥࢢ࣮࣓ࣔࣥࢺ CMY࡜࣮ࣟࣜࣥࢢ࣮࣓ࣔࣥࢺC_MXࡀ࡯ࡰࢮࣟ࡟࡞ࡿ

ࡼ࠺࡟ࠊ࣮ࣟࢱࢆไᚚࡍࡿࢪࣙ࢖ࢫࢸ࢕ࢵࢡ࡛ㄪ⠇

ࡋ࡚ヨ㦂ࢆ⾜ࡗ࡚࠸ࡿࠋヨ㦂᮲௳⾲ࢆ௜㘓ࡢ௜⾲2

࡟♧ࡍࠋ

ᮏሗ࿌࡛ࡣࠊ୺࡟࣮ࣟࢱࡢᅇ㌿ᩘࡀ1800rpmࠊ⩼

➃࣐ࢵࣁᩘ࡟ኚ᥮ࡍࡿ࡜M_tip=0.56ࡢヨ㦂⤖ᯝ࡟ὀ┠

ࡍࡿࠋ

ᅇ㌿ヨ㦂

ᅇ㌿ヨ㦂᮲௳⾲ࢆ➨5⾲࡟♧ࡍࠋᅇ㌿ヨ㦂ࡣࠊࣈࣞ

࣮ࢻࢆྲྀࡾእࡋࣈ࣮ࣞࢻྲྀࡾ௜ࡅ㒊࡛࠶ࡿࣁࣈࡢᙳ 㡪ࢆㄪ࡭ࡿヨ㦂࡛ࠊ୍ᵝὶ㏿V’ཬࡧᅇ㌿ᩘࢆኚ໬ࡉ ࡏࠊ3ࢣ࣮ࢫᐇ᪋ࡋࡓࠋ

࣮ࣟࢱᛶ⬟ヨ㦂᮲௳

࣮ࣟࢱᛶ⬟ヨ㦂᮲௳⾲ࢆ➨6.1㹼6.4⾲࡟♧ࡍࠋ࣮ࣟ

ࢱࡢᛶ⬟ཬࡧ෌⌧ᛶࢆㄪ࡭ࡿࡓࡵࠊM_tip=0.188, 0.314,

0.471, 0.565ࡢࡑࢀࡒࢀࡢ᮲௳࡛┠ᶆ᥎ຊಀᩘC_Tࢆ

ቑຍࡉࡏ࡚࠸ࡁࠊ30ࢣ࣮ࢫᐇ᪋ࡋࡓࠋ

௜㘓ࡢ௜⾲3.1㹼3.4࡟ࠊヨ㦂᮲௳࡜㡢㏿aࡢືᅽ࡛

↓ḟඖ໬ࡋࡓᅽຊಀᩘC_paཬࡧ6ศຊࡢᖹᆒ್ࠊࣈࣞ

࣮ࢻゅᗘಀᩘ್ࢆ♧ࡋࡓࠋ

࣍ࣂࣜࣥࢢᛶ⬟ヨ㦂

࣍ࣂࣜࣥࢢヨ㦂᮲௳⾲ࢆ➨7.1⾲࡜➨7.2⾲࡟♧ࡍࠋ M_tip=0.315ࠊ0.562࡛┠ᶆ᭱኱᥎ຊಀᩘC_Tࢆቑຍࡉࡏ

࡚࠸ࡁࠊ21ࢣ࣮ࢫᐇ᪋ࡋࡓࠋ

௜㘓ࡢ௜⾲4.1࡜௜⾲4.2࡟ヨ㦂᮲௳࡜ᖹᆒࢹ࣮ࢱ

ࢆ♧ࡍࠋ

๓㐍㣕⾜ᛶ⬟ヨ㦂

๓ 㐍 㣕 ⾜ ヨ 㦂 ᮲ ௳ ⾲ ࢆ ➨8.1~8.4⾲ ࡟ ♧ ࡍ ࠋ M_tip=0.315ࠊ0.562࡛C_T㸻0.0029ཬࡧC_T㸻0.0048࡟࠾࠸

࡚ࠊప㏿࠿ࡽ㧗㏿㣕⾜᮲௳ࡢヨ㦂ࢆ⾜ࡗࡓࠋᶍᆺࡢ ጼໃゅĮ=㸫2deg㸦ᶵయࡀᚋഴࡍࡿ᪉ྥࢆṇ㸧࡛࠶ࡿࠋ

C_T=0.0029ࡢヨ㦂᮲௳࡜ᖹᆒࢹ࣮ࢱࢆ௜㘓ࡢ௜⾲

5.1࡜௜⾲5.2࡟ࠊC_T=0.0048ࡢࢹ࣮ࢱࢆ௜⾲6.1࡜௜⾲

6.2࡟ࡑࢀࡒࢀ♧ࡋࡓࠋ

➨5⾲ ᅇ㌿ヨ㦂᮲௳⾲

CASE 1 2 3

M䌲 0 0.088 0.175

Mtip 0.314 0.313 0.609

Į S -2 -2 -2

ȝ 0.00 0.28 0.29

ș0 1.30 1.20 0.23

ș1C -0.05 -0.05 0.08 ș1S -0.08 -0.09 0.14 ȕ0 -6.49 -6.56 -6.31 ȕ1C -0.07 -0.06 0.25 ȕ1S 0.04 -0.12 -0.16 CT 0.0001 0.0002 0.0002

➨6.1⾲ ࣮ࣟࢱᛶ⬟ヨ㦂(M_tip=0.188) ヨ㦂᮲௳⾲

CASE 1 2 3 4 5 6 7 8

M䌲 0 0 0 0 0 0 0 0

Mtip 0.188 0.188 0.188 0.188 0.188 0.188 0.188 0.188

Į S 0 0 0 0 0 0 0 0

ȝ 0 0 0 0 0 0 0 0

ș0 5.43 6.62 8.47 10.55 12.73 14.92 17.00 18.88 ș1C 0.08 -0.01 0.03 -0.03 -0.03 -0.08 -0.32 0.59 ș1S -0.06 -0.04 -0.06 -0.03 -0.08 -0.01 0.17 -0.10

ȕ0 -0.01 -0.01 0.04 0.33 0.66 0.99 1.27 1.52

ȕ1C 0.00 -0.01 0.04 -0.02 -0.03 0.01 -0.09 0.07 ȕ1S -0.08 -0.06 -0.09 -0.05 -0.12 -0.09 -0.06 0.18 CT -0.0004 -0.0002 0.0003 0.0014 0.0028 0.0046 0.0064 0.0076

➨6.2⾲ ࣮ࣟࢱᛶ⬟ヨ㦂(M_tip=0.314)ヨ㦂᮲௳⾲

CASE 1 2 3 4 5 6 7

M䌲 0 0 0 0 0 0 0

Mtip 0.314 0.314 0.314 0.314 0.314 0.314 0.314

Į S 0 0 0 0 0 0 0

ȝ 0 0 0 0 0 0 0

ș0 7.12 8.22 10.19 12.59 14.45 16.74 18.65

ș1C 0.11 0.02 0.05 0.07 0.28 0.30 0.38

ș1S 0.20 0.31 0.33 0.26 0.17 0.13 0.13

ȕ0 0.01 0.04 0.29 0.46 0.68 1.14 1.40

ȕ1C 0.02 -0.02 0.02 0.05 0.03 0.06 0.04

ȕ1S -0.03 -0.01 0.02 -0.05 0.03 -0.02 0.11 CT 0.0001 0.0004 0.0014 0.0030 0.0046 0.0065 0.0083

➨6.3⾲ ࣮ࣟࢱᛶ⬟ヨ㦂(M_tip=0.471) ヨ㦂᮲௳⾲

CASE 1 2 3 4 5 6

M䌲 0 0 0 0 0 0

Mtip 0.471 0.471 0.471 0.471 0.471 0.471

Į S 0 0 0 0 0 0

ȝ 0 0 0 0 0 0

ș0 6.76 8.15 10.40 12.15 14.27 16.08

ș1C -0.10 -0.13 0.02 -0.03 0.16 0.30

ș1S 0.11 0.21 0.07 0.08 -0.04 -0.09

ȕ0 0.05 0.04 0.38 0.51 0.71 0.74

ȕ1C 0.01 -0.01 0.03 -0.07 -0.13 -0.07 ȕ1S -0.09 -0.13 -0.13 -0.05 -0.06 0.00 CT 0.0000 0.0004 0.0017 0.0029 0.0045 0.0064

➨6.4⾲ ࣮ࣟࢱᛶ⬟ヨ㦂(M_tip=0.565) ヨ㦂᮲௳⾲

CASE 1 2 3 4 5 6 7 8 9

M䌲 0 0 0 0 0 0 0 0 0

Mtip 0.565 0.565 0.565 0.565 0.565 0.565 0.565 0.565 0.565

Į S 0 0 0 0 0 0 0 0 0

ȝ 0 0 0 0 0 0 0 0 0

ș0 6.14 6.77 7.61 8.47 9.69 10.59 11.78 12.81 13.75

ș1C -0.06 -0.01 -0.02 0.02 0.06 0.19 -0.05 0.18 0.28

ș1S 0.14 0.20 0.19 -0.10 0.13 0.13 -0.26 0.23 0.10

ȕ0 0.20 0.16 0.04 0.05 0.33 0.46 0.89 0.96 0.94

ȕ1C -0.05 0.04 0.02 -0.06 0.05 0.19 0.00 0.18 0.13

ȕ1S 0.06 0.01 0.02 0.00 0.11 0.17 -0.25 0.26 0.14

CT 0.0000 0.0001 0.0003 0.0009 0.0017 0.0021 0.0030 0.0039 0.0048

➨7.1⾲ ࣍ࣂࣜࣥࢢᛶ⬟ヨ㦂(M_tip=0.315) ヨ㦂᮲௳⾲

CASE 1 2 3 4 5 6 7 8 9 10 11 12 13

M䌲 0 0 0 0 0 0 0 0 0 0 0 0 0

Mtip 0.315 0.315 0.315 0.315 0.315 0.315 0.315 0.315 0.315 0.315 0.315 0.315 0.315

Į S 0 0 0 0 0 0 0 0 0 0 0 0 0

ȝ 0 0 0 0 0 0 0 0 0 0 0 0 0

ș0 6.91 7.69 8.62 9.53 10.75 11.60 12.44 13.49 14.68 15.82 16.88 17.49 18.53 ș1C -0.02 0.05 0.04 0.02 0.03 0.03 0.01 -0.01 0.05 0.021 0.307 0.543 0.645 ș1S -0.03 -0.14 -0.14 -0.10 -0.12 -0.04 -0.13 -0.12 -0.03 -0.139 -0.297 -0.437 -0.423

ȕ0 0.24 0.16 0.20 0.29 0.38 0.43 0.59 0.73 0.82 0.97 0.965 1.024 1.308

ȕ1C -0.05 0.02 0.01 0.00 0.00 0.01 -0.02 -0.03 0.05 -0.012 0.074 0.209 0.125 ȕ1S -0.03 -0.10 -0.10 -0.07 -0.09 0.02 -0.07 -0.08 0.06 -0.094 -0.03 0.091 0.177 CT 0.0000 0.0001 0.0005 0.0010 0.0017 0.0022 0.0029 0.0036 0.0048 0.006 0.007 0.007 0.008

➨7.2⾲ ࣍ࣂࣜࣥࢢᛶ⬟ヨ㦂(M_tip=0.562) ヨ㦂᮲௳⾲

CASE 1 2 3 4 5 6 7 8 9

M䌲 0 0 0 0 0 0 0 0 0

Mtip 0.562 0.562 0.562 0.562 0.562 0.562 0.562 0.562 0.562

Į S 0 0 0 0 0 0 0 0 0

ȝ 0 0 0 0 0 0 0 0 0

ș0 5.78 6.79 7.53 8.31 9.50 10.70 11.42 12.68 13.79

ș1C -0.02 -0.10 -0.10 -0.06 0.01 0.04 -0.08 -0.01 0.04 ș1S -0.11 -0.14 -0.13 -0.16 -0.15 0.01 0.07 -0.06 -0.14

ȕ0 -0.08 0.03 0.04 0.08 0.17 0.52 0.52 0.90 0.98

ȕ1C 0.14 0.09 0.09 0.13 0.24 0.20 -0.23 0.14 0.21

ȕ1S -0.10 -0.13 -0.12 -0.18 -0.17 0.06 0.03 0.00 -0.14 CT -0.0001 0.0001 0.0003 0.0008 0.0016 0.0023 0.0028 0.0037 0.0047

➨8.1⾲ ๓㐍㣕⾜ᛶ⬟ヨ㦂(M_tip=0.315, C_T=0.0029) ヨ㦂᮲௳⾲

CASE 1 2 3 4 5 6 7

M䌲 0 0.015 0.029 0.044 0.059 0.073 0.088

Mtip 0.315 0.315 0.315 0.315 0.315 0.314 0.314

Į S -2 -2 -2 -2 -2 -2 -2

ȝ 0.00 0.05 0.09 0.14 0.19 0.23 0.28

ș0 12.50 11.24 10.15 9.64 9.50 9.58 9.74

ș1C 0.22 2.69 2.36 2.18 2.18 2.21 2.32

ș1S -0.09 -0.38 -0.47 -0.75 -1.04 -1.40 -1.75

ȕ0 0.51 0.41 0.49 0.41 0.40 0.39 0.41

ȕ1C 0.04 0.00 -0.02 -0.02 0.01 0.01 -0.07

ȕ1S 0.09 0.08 0.04 0.07 0.06 0.02 -0.02

CT 0.0029 0.0028 0.0028 0.0028 0.0028 0.0029 0.0028

➨8.2⾲ ๓㐍㣕⾜ᛶ⬟ヨ㦂(M_tip=0.56, C_T=0.0029) ヨ㦂᮲௳⾲

CASE 1 2 3 4 5 6 7 8 9 10 11 12

M䌲 0 0.015 0.029 0.044 0.059 0.073 0.088 0.102 0.117 0.132 0.146 0.161 Mtip 0.562 0.562 0.562 0.562 0.562 0.562 0.562 0.561 0.561 0.560 0.560 0.559

Į S -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2

ȝ 0.00 0.03 0.05 0.08 0.10 0.13 0.16 0.18 0.21 0.23 0.26 0.29

ș0 11.89 11.24 10.49 9.61 9.33 9.00 8.95 8.90 8.97 8.80 9.05 9.06

ș1C 0.00 1.48 2.43 2.40 2.17 2.06 1.97 1.99 2.09 2.06 1.98 2.04

ș1S 0.01 -0.20 -0.30 -0.65 -0.82 -0.93 -1.19 -1.35 -1.51 -1.74 -1.83 -2.16

ȕ0 1.12 0.90 0.84 0.57 0.76 0.63 0.66 0.70 0.74 0.57 0.78 0.69

ȕ1C 0.00 -0.08 -0.04 0.04 -0.03 0.02 0.00 0.02 0.09 0.14 0.01 0.02

ȕ1S 0.03 -0.04 -0.06 0.03 -0.14 -0.05 -0.14 -0.15 0.00 -0.12 -0.01 -0.04 CT 0.0029 0.0029 0.0029 0.0028 0.0029 0.0029 0.0028 0.0028 0.0029 0.0028 0.0029 0.0029

➨8.4⾲๓㐍㣕⾜ᛶ⬟ヨ㦂(M_tip=0.315, C_T=0.0048) ヨ㦂᮲௳⾲

CASE 1 2 3 4 5 6 7

M䌲 0 0.015 0.029 0.044 0.059 0.073 0.088

Mtip 0.315 0.315 0.315 0.315 0.315 0.314 0.314

Į S -2 -2 -2 -2 -2 -2 -2

ȝ 0 0.0473 0.0932 0.14 0.1864 0.2327 0.2798 ș0 14.96 13.93 12.59 11.97 11.83 11.85 12.15

ș1C 0.27 2.98 3.26 -3.01 2.91 2.97 3.02

ș1S 0.13 -0.78 -0.97 1.52 -2.13 -2.68 -3.32

ȕ0 1.06 0.99 0.94 1.02 0.99 0.97 0.97

ȕ1C -0.04 0.09 0.08 -0.11 0.07 0.09 0.09

ȕ1S 0.01 -0.02 -0.09 0.02 -0.01 -0.02 -0.03 CT 0.0049 0.0047 0.0047 0.0047 0.0047 0.0047 0.0048

➨8.4⾲ ๓㐍㣕⾜ᛶ⬟ヨ㦂᮲௳⾲(M_tip=0.56, C_T=0.0048) ヨ㦂᮲௳⾲

CASE 1 2 3 4 5 6 7 8 9 10 11 12

M䌲 0 0.015 0.029 0.044 0.059 0.073 0.088 0.102 0.117 0.131 0.146 0.161 Mtip 0.561 0.561 0.561 0.561 0.561 0.561 0.561 0.560 0.560 0.560 0.559 0.559

Į S -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2

ȝ 0 0.03 0.05 0.08 0.1 0.13 0.16 0.18 0.21 0.23 0.26 0.29

ș0 11.94 13.48 12.66 12.02 11.41 11.21 11.01 10.84 10.78 10.73 10.77 10.85

ș1C 0.02 1.76 3.01 3.30 3.15 2.93 2.72 2.74 2.66 2.69 2.76 2.76

ș1S -0.03 -0.49 -0.78 -1.09 -1.47 -1.74 -2.08 -2.33 -2.57 -2.85 -3.21 -3.50

ȕ0 1.17 1.40 1.13 1.17 1.20 1.34 1.29 1.17 1.09 1.05 0.94 0.90

ȕ1C -0.05 0.12 0.14 0.13 0.17 0.18 0.05 0.21 0.18 0.21 0.24 0.23

ȕ1S -0.03 -0.04 -0.03 -0.02 -0.17 -0.14 -0.14 -0.08 -0.07 -0.05 -0.02 0.04 CT 0.0029 0.0047 0.0047 0.0047 0.0047 0.0048 0.0048 0.0047 0.0048 0.0048 0.0048 0.0048

ࢹ࣮ࢱฎ⌮᪉ἲ

ᅽຊࡢ↓ḟඖ໬ࡣ୍ᵝὶ㏿ࡢືᅽ࡟ࡼࡾ⾜࠺ࡀࠊ ᮏ◊✲࡛ࡣ㡢㏿࡛↓ḟඖ໬ࢆ⾜ࡗ࡚࠸ࡿࠋࡇࡢฎ

⌮᪉ἲࡣࠊ࣮ࣟࢱ✵ຊホ౯࡟࠾ࡅࡿࣈ࣮ࣞࢻࡢ⩼

➃㏿ᗘV_tip࡟ࡼࡿ↓ḟඖ໬࡜ྠᵝࠊV’=0ࡢ࣍ࣂࣜࣥ

ࢢ᮲௳࡟࠾࠸࡚ࡶ௚ࡢ㣕⾜᮲௳࡜ྠᵝ࡟ಀᩘ໬࡛

ࡁࡿࡓࡵࠊヨ㦂᮲௳࡟౫ࡽࡎ࡟ᅽຊ್ࢆẚ㍑ࡍࡿ

ࡇ࡜ࡀ࡛ࡁࡿࠋᅽຊಀᩘC_paࡣࠊ

2 ) /( 1 )

( P P a

²

C

_pa

_f

U

㻌 㻌 㻌 㻌 㻌 㻌 㻌 㻌 (1)

࡜⾲ࡉࢀࡿࠋࡇࢀ࡟ࡼࡾࠊศẕࡢືᅽࡀ୍ᵝὶ࡟

౫Ꮡࡋ࡞࠸ࡓࡵࠊᅽຊࡢホ౯ࡣ⤯ᑐ್࡛ホ౯ࡍࡿ

ࡇ࡜ࡀྍ⬟࡜࡞ࡿࠋ

ࡲࡓࠊ୍ᵝὶ㏿ࡼࡿᅽຊಀᩘCp’ཬࡧ⩼➃㏿ᗘ࡟ࡼ

ࡿᅽຊಀᩘC_ptipࡣࠊ௨ୗࡢࡼ࠺࡟ồࡵࡽࢀࡿࠋ

/

_f2

f

C M

C

_{p pa} 㻌 㻌 㻌 㻌 㻌 㻌 㻌 㻌 㻌 㻌 㻌 㻌 (2)

/

_tip2 pa

ptip

C M

C

(3)

࣮ࣟࢱ6ศຊࡣࠊຊࡢ3ᡂศC_X, CY, CTࢆC_Fࠊ࣮࣓ࣔ

ࣥࢺ3ᡂศC_MX, C_MY, C_QࢆC_M࡜ࡋ࡚⾲ࡍ࡜ࠊ

) ) ( /( u R

²

u R :

²

F

C

_F

U S

⁽⁴⁾

) ) (

/( R

²

R

²

R

M

C

_M

U u S u : u

(5) ࡓࡔࡋࠊF:ຊࠊM:࣮࣓ࣔࣥࢺࠊȡ㸸✵ẼᐦᗘࠊR:ࣟ

࣮ࢱ༙ᚄࠊȍ:ゅ㏿ᗘ࡛࠶ࡿࠋ

๓㐍⋡ȝࡣࠊ

f

R : V /

P

(6)

ࣈ࣮ࣞࢻゅᗘಀᩘࡣࠊࣈ࣮ࣞࢻࡢࣄࣥࢪ㒊࡟࠾ࡅ

ࡿゅᗘࡣ㸯ḟࡢㄪ࿴᣺ືᘧ࡛⾲ࡉࢀࡿࠋ

ࣇ࢙ࢨࣜࣥࢢゅșࡣࠊ

) sin(

) cos(

)

( < T

₀

T

_1C

< T

_1S

<

T

⁽⁷⁾

࡜ࡋ࡚ࠊࣈ࣮ࣞࢻࡢ๓⦕ࡀ࣮ࣟࢱᅇ㌿㠃ࡼࡾࡶୖ

ഃ࡟ୖࡀࡿ᪉ྥࢆṇ࡜ࡋ࡚࠸ࡿࠋ

ࣇࣛࢵࣆࣥࢢゅȕࡣࠊ

) sin(

) cos(

)

( < E

₀

E

_1C

< E

_1S

<

E

(8)

࡜ࡋ࡚ࠊࣈ࣮ࣞࢻࡀ࣮ࣟࢱᅇ㌿㠃ࡼࡾࡶୖഃ࡟ୖ

ࡀࡿ᪉ྥࢆṇ࡜ࡋ࡚࠸ࡿࠋ

࣮ࣜࢻ࣭ࣛࢢゅȗࡣࠊ

) sin(

) cos(

)

( < ]

₀

]

_1C

< ]

_1S

<

]

⁽⁹⁾

࡜ࡋ࡚ࠊࣈ࣮ࣞࢻࡀ๓㐍ࡍࡿ᪉ྥࢆṇ࡜ࡋ࡚࠸ࡿࠋ

ࢹ࣮ࢱྲྀᚓཬࡧ⿵㛫᪉ἲ

ィ ࡟౑⏝ࡋࡓྛࢭࣥࢧࡢฟຊ㟁ᅽࡣࠊ16bitࡢA/D ኚ᥮ჾࢆ⏝࠸࡚࣓ࣔࣜࣞࢥ࣮ࢲ࡛グ㘓ࡋࡓࠋࢹ࣮

ࢱࡢࢧࣥࣉࣜࣥࢢ࣮ࣞࢺࡣ50kHzࠊ ᐃ᫬㛫ࡣ5s

࡛࠶ࡿࠋ ᐃࢹ࣮ࢱࡣ㍑ṇヨ㦂ࢆ⾜࠸ࠊ࢖ࢽࢩࣕ

࣭ࣝ࢜ࣇࢭࢵࢺ㔞ࢆྲྀࡾ㝖࠸ࡓୖ࡛ࠊ࢔ࣥࢧࣥࣈ

ࣝᖹᆒ⾜࠸ࠊ≀⌮㔞࡟ኚ᥮ࡋ࡚࠸ࡿࠋࡓࡔࡋࠊ6ศ ຊኳ⛗ࡢฟຊ㟁ᅽࡣྛ㍈ࡢᖸ΅ࡢᙳ㡪ࢆ⪃៖ࡋࠊ 6×6ࡢ㍑ṇ࣐ࢺࣜࢵࢡࢫࢆ⏝࠸࡚✵ຊ6ศຊ࡟ኚ᥮

ࡋࡓࠋࢥࣞࢡࢸ࢕ࣈ࣭ࣆࢵࢳゅș₀ࡣィ ᫬ࡢ⯦ゅ ࢭࣥࢧࡢ࢜ࣇࢭࢵࢺ㔞ࢆ⪃៖ࡋࡓ⿵ṇࢆ࠾ࡇ࡞ࡗ

࡚࠸ࡿࠋࢥ࣮ࢽࣥࢢゅȕ₀ࡣ࣮ࣟࢱࡢᅇ㌿࡟ࡼࡿ㐲 ᚰຊࡢᙳ㡪ࢆཷࡅࡓࡓࡵࠊᗄࡘ࠿ࡢ␗࡞ࡿᅇ㌿ᩘ

࡛㍑ṇヨ㦂ࢆ⾜࠸ࠊ⿵ṇࢆ⾜ࡗࡓࠋ࣮ࣟࢱᅇ㌿ᩘ

1800rpmࡢヨ㦂᮲௳࡟࠾࠸࡚ࠊィ ୰࡟࣮ࣟࢱࡢᅇ

㌿ᩘࡢኚ໬࡟ࡼࡾⓎ⏕ࡋࡓ ᐃࢹ࣮ࢱᩘࡢᕪࡣࠊ 㸯ᅇ㌿࠶ࡓࡾࡢࢹ࣮ࢱᩘ1667ಶ࠿ࡽࡢㄗᕪࡣ±3ಶ ௨ෆ࡛࠶ࡗࡓࠋ ᐃࡋࡓ᫬⣔ิࢹ࣮ࢱࡣࠊ࿘ᮇᛶ ࡀ࠶ࡿࡇ࡜ࢆ☜ㄆࡋࡓୖ࡛ࣃࣝࢫࢹ࣮ࢱࢆᇶ࡟1 ᅇ㌿ẖࡢࢹ࣮ࢱ࡟ศࡅࠊ࢔ࣥࢧࣥࣈࣝᖹᆒࢆ⾜ࡗ

࡚࠸ࡿࠋᮏヨ㦂࡛ࡣࠊ࢔ࢪ࣐ࢫゅࡢ఩┦㛫㝸0.5deg

࡜ࡋ࡚࢔ࣥࢧࣥࣈࣝᖹᆒࢆ⾜࠸ࠊྛᅇ㌿ᩘࡢᖹᆒ ࢹ࣮ࢱࢆ⿵㛫ࡋ࡚࠸ࡿࠋ

㸬ヨ㦂⤖ᯝཬࡧ⪃ᐹ

࣍ࣂࣜࣥࢢᛶ⬟ヨ㦂⤖ᯝ

M_tip=0.188㹼0.565ࡲ࡛ኚ໬ࡉࡏ࡚⾜ࡗࡓ࣍ࣂࣜࣥ

ࢢᛶ⬟ヨ㦂ࡢC_T-C_Q᭤⥺ศᕸࢆ➨9ᅗ࡟♧ࡍࠋ

M_tip=0.188௨እࡢศᕸ࡛Ⰻ࠸୍⮴ࡀᚓࡽࢀ࡚࠸ࡿࡢ

ࡀぢ࡚ྲྀࢀࡿࠋࡇࡢ⤖ᯝࡼࡾࠊᮏヨ㦂࡛౑⏝ࡋࡓࣟ

࣮ࢱ⿦⨨ࡣM_tip=0.314௨ୖ࡛Ⰻ࠸෌⌧ᛶࢆᣢࡗ࡚࠸

ࡿ࡜࠸࠼ࡿࠋ

0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009

0 0.0002 0.0004 0.0006 0.0008 Th

urs t co effi cien t, C^T

Torque coefficient, C_Q

Mtip = 0.188 Mtip = 0.314 Mtip = 0.471 Mtip = 0.565

➨9ᅗ C_T-C_Q᭤⥺

࣍ࣂࣜࣥࢢᛶ⬟ヨ㦂⤖ᯝ

Mtip =0.56ࡢ࣍ࣂࣜࣥࢢᛶ⬟ヨ㦂࡟ࡼࡗ࡚ࠊࢺ࣒ࣜ

ࡀ࡜ࢀ࡚࠸ࡿ஦ࠊC_paࡢᖹᆒ್࡜ኚື್ࢆ⬗య⾲㠃ࡢ ࢭࣥࢱࣛ࢖ࣥୖ࡜ࢡࣟࢫࣛ࢖ࣥୖࡢศᕸ࡜ࡋ࡚♧ࡍࠋ ࢭࣥࢱࣛ࢖ࣥࡣ⬗యࢆ┿ᶓ࠿ࡽぢࡓ࡜ࡁࡢ࣮ࣟࢱ୰

ᚰࢆ㏻ࡿ୍ᵝὶ᪉ྥࡢ⦪⥺ࠊࢡࣟࢫࣛ࢖ࣥࡣX/R=㸫 0.21࡟࠾ࡅࡿ᩿㠃ࢆ⬗యᚋ᪉࠿ࡽぢࡓ࡜ࡁࡢᶓ⥺࡛

࠶ࡿࠋᅽຊࢭࣥࢧྲྀࡾ௜ࡅ఩⨨ࡢᶍᘧᅗࢆ➨10ᅗ࡟

♧ࡍࠋࡲࡓࠊXࠊYࡢ್ࡣ➨3⾲࡟♧ࡋࡓᗙᶆ್࡛࠶

ࡾࠊࡑࢀࡒࢀ࣮ࣟࢱ༙ᚄR࡛↓ḟඖ໬ࡋ࡚࠸ࡿࠋ

0.68

1.56

Centerline

Crossline (X=-0.21) X

Y

Center of rotor

Flow

-0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1

-0.4 -0.2 0 0.2 0.4

Z

Y -1.0

-0.8 -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 0.8 1.0

-1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1

Z

X

Side view Rear view

Pressure sensor

Pressure sensor

➨10ᅗ ࢭࣥࢱࣛ࢖ࣥ࡜ࢡࣟࢫࣛ࢖ࣥࡢᶍᘧᅗ

ࢺ࣒ࣜ

CT࡟ᑐࡍࡿ࣮ࣟࣜࣥࢢ࣮࣓ࣔࣥࢺC_MX࡜ࣆࢵࢳࣥ

ࢢ࣮࣓ࣔࣥࢺC_MYࡢศᕸࢆ➨11ᅗ࡟♧ࡍࠋ඲ヨ㦂ࢣ

࣮ࢫ࡟࠾࠸࡚ࢺ࣒ࣜࡀ࡜ࢀ࡚࠸ࡿࡇ࡜ࡀ☜ㄆ࡛ࡁࡿࠋ

-0.001 0 0.001 0.002 0.003 0.004 0.005

5 6 7 8 9 10 11 12 13 14 15

Ae ro dy na mic co eff icie nt 䞉㻭 C^T , C^M , X

C^M

Y

Collective pitch䚸?₀ [deg]

CT CMX CMY

➨11ᅗ ࣍ࣂࣜࣥࢢ㣕⾜᮲௳ࡢC_MXࠊC_MYศᕸ

ᖹᆒᅽຊศᕸ

C_T=0.0003, 0.0016, 0.0028, 0.0047ࡢ4ࢣ࣮ࢫ࡟࠾ࡅ

ࡿࢭࣥࢱࣛ࢖ࣥୖ࠾ࡼࡧࢡࣟࢫࣛ࢖ࣥୖ࡛ࡢᖹᆒᅽ ຊศᕸࢆ➨12ᅗ࡟ࡑࢀࡒࢀ♧ࡍࠋ᥎ຊಀᩘࢆቑຍࡉ

Thurst

co

efficient,

C^T

Aerodynamic

co

efficient䚸CT,CMX

, CMY