The Influence of the Supply Chamber Configuration on Under-Expanded Swirling Jets

(1)

⏎㯦㺪⻚䡫㌗㧊⿖㫇䖓㺓㓺㤪㩲䔎㥶☯㠦 ⹎䂮⓪ 㡗䟻㠦 ὖ䞲㡆ῂ

卆渗愶 ^̐ · 決劒籲* · 皦柢橊疪显皦割獞 · 卆籲壟*

The Influence of the Supply Chamber Configuration on Under-Expanded Swirling Jets

Jung-Bae Kim, Kwon-Hee Lee, Toshiaki Setoguchi and Heuy-Dong Kim

Key Words : Supersonic swirling jet(㽞㦢㏣㓺㤪㩲䔎), Supply chamber configuration(Ὃ  㺪⻚䡫

㌗), Shock wave(㿿ỿ䕢), Recirculation Zone(㨂㑲䢮㡗㡃)

Abstract

The present study addresses experimental results to investigate the effect of the jet supply chamber configuration on the sonic/supersonic swirling jets, as the case study. The experiment is carried out using the convergent nozzle with a various different chamber configurations upstream the nozzle throat, which is composed of four tangential inlet holes for the swirling flows. The jet pressure ratio is varied between 3.0 and 7.0. The sonic/supersonic swirling jet flows are specified by the pitot impact and static pressure measurements and visualized using the Shadowgraph method. The results show that the major structures of the sonic/supersonic swirling jet are strongly influenced by the jet supply chamber.

1. 昢嵦

㦢㏣/㽞㦢㏣㓺㤪㩲䔎⓪ 㠪㰚㡆㏢㔺㩲䔎㏢㦢 ἓṦ, ⚦ 㥶☯㦮䢒䞿㎇⓻ ⹥ 㩞┾㎇⓻ 䟻㌗, 㡆㏢

㔺⌊㦮䢪㡒㞞㩫 ❇ 㡂⩂ ㌆㠛⿚㟒㠦㍲ ⍦Ⰲ 㧊㣿♮ἶ 㧞┺. 㓺㤪㩲䔎⓪ 㩲䔎⌊㠦㍲㿿ỿ䕢Ṗ ⹲

㌳䞮Ệ⋮, 㥶㼊㦮䣢㩚㤊☯ὒ ⋲⮮ 㥶☯㦮⽋䞿㩗㧎 ₆㼊㡃䞯㩗䔏㎇㦚 Ṗ㰚䣢㩚㤊☯㧊 ⏎㯦㌗⮮

㠦㍲㭒㠊㰞 ➢ ⹲㌳䞮Ⳇ, ⏎㯦⪲⿖䎆 ⹿㿲♮⓪

₆㼊㥶☯㦖゚㓺㤪㩲䔎㥶☯ὒ⓪ ╂Ⰲ, 㿫⹿䟻 ⹥

⹮ἓ⹿䟻㏣☚ ㎇⿚㈦Ⱒ 㞚┞⧒ ⻫㍶⹿䟻㏣☚

㎇⿚㦚 Ṗ㰖Ợ ♲┺. 㰖⁞₢㰖㓺㤪㩲䔎㠦 ╖䞲 Ⱔ㦖㡆ῂṖ 㑮䟟♮㠞㦒Ⳇ, 㧊✺㦮㡆ῂ㠦 ➆⯊Ⳋ,

㓺㤪㩲䔎⓪ ゚㓺㤪㩲䔎㠦゚䟊㭒㥚 ₆㼊㦮㩲䔎

⌊⿖⪲㦮䢒㧛㦚㯳Ṗ㔲䅲㩲䔎䆪㠊㦮 ₎㧊⯒ Ṧ

㏢㔲䋾┺ἶ ⽊ἶ䞮㡖┺. ^(1,2) ⡦䞲㓺㤪 ṫ☚(swirl intensity)⓪ 㓺㤪㩲䔎㦮䔏㎇㦚 ἆ㩫䞮⓪ 㭒㣪䞲

⼖㑮⧒⓪ ộ㧊㞢⩺㪢㦒Ⳇ, 㓺㤪ṫ☚Ṗ 㧚ἚṨ㦚㽞ὒ䞮Ⳋ 㓺㤪㩲䔎㭧㕂㿫⿖⁒㠦㡃㞫⩻ ῂ⺆㡗㡃㧊㫊㨂䞮Ợ ♲┺ ⁽³⁾ . 㧊⪲ 㧎䞮㡂 ⹲㌳䞮⓪ 㨂㑲䢮㡗㡃㦖㡆㏢㔺⌊㦮䢪㡒㞞㩫ὒ ⹖㩧䞲 ὖἚ⯒

Ṗ㰖ἶ 㧞㠊㭒㣪䞲㡆ῂ╖㌗㧊 ♮㠊㢪┺. ⡦䞲㧊⩂䞲㓺㤪㥶☯㦚 ⹲㌳㔲䋺₆ 㥚䞮㡂 Ⱔ㦖 ⹿⻫

㧊㡆ῂ♮㠊㪢㦒Ⳇ, ╖䚲㩗㧎 ộ㦒⪲ ⻫㍶⹿䟻㥶㧛ῂ ⹥ 㩗╏䞲⻶㧎(vane)㦚㌂㣿䞮Ệ⋮ ⁽⁴⁾ , 䣢㩚㧊 Ṗ⓻䞲㥶㧛ῂ㦮㌂㣿 ⁽⁵⁾ , 㿫⹿䟻 ⹥ 㩧㍶⹿䟻㦮㓺㤪 ⹲㌳₆ ⁽⁶⁾ , ⁎Ⰲἶ な⩞㧊✲ ⁽⁷⁾ . ❇㧊㌂㣿♮ἶ 㧞┺. 㽞㦢㏣㓺㤪㩲䔎㠦 ╖䞲㡆ῂ⪲⓪ Carpenter ^(8,9) Ṗ 㧒㹾㤦㧊⪶ 䟊㍳㦚㌂㣿䟊 ⧒⹲⏎

㯦㠦㍲ ⹲㌳♮⓪ 㽞㦢㏣㓺㤪㩲䔎䔏㎇㦚 Ἒ㌆䞮㡖┺. ⁎ἆὒ 㓺㤪㧊 ⏎㯦㦮 ⳿(㰞㔳㫆Ị)㦚 ₆㭖㦒⪲ ⏎㯦 ⌊⿖㥶☯ὒ 㣎⿖㡃⮮㥶☯㦒⪲ ⋮⑚㰦㦚䢫㧎䞮㡖㦒⋮ ⏎㯦㦮䡫㌗, 㓺㤪ṫ☚ ❇㦮 ┺ 㟧䞲⿚㍳㦖㧊⬾㠊㰖㰖㞠㞮┺. Dutton ⁽¹⁰⁾ 㦖㽞

̐ 㞞☯╖䞯ᾦ ₆ἚὋ䞯ὒ ╖䞯㤦 E-mail : [email protected]

TEL : (054)820-5622 FAX : (054)823-5495

* ㌂Ṗ╖䞯ᾦ ₆ἚὋ䞯ὒ ╖䞯㤦, 㧒⽎

** ㌂Ṗ╖䞯ᾦ ₆ἚὋ䞯ὒ, 㧒⽎

*** 㞞☯╖䞯ᾦ ₆ἚὋ䞯⿖

(2)

㦢㏣ ⏎㯦⌊ 㥶☯㠦㍲ ⏎㯦䡫㌗, 㧛ῂ 㓺㤪䡫㌗,

⹥ 㓺㤪 ṫ☚㦮㡗䟻㠦 ὖ䞮㡂㫆㌂䞮㡖┺.

㾲⁒㠦 Culter ❇ ⁽¹¹⁾ 㦖 ⏎㯦 ⌊⿖㠦㤷㧊⋮ ⻶㧎㦚㍺䂮䞮㡂㓺㤪㩲䔎⋮ 㢖⮮⯒ ⹲㌳㔲䋺⓪ 㧊㩚㦮 ⹿⻫⽊┺ 㿫㏢䢫╖ ⏎㯦㦮㥶㧛ῂ㠦㩧㍶⹿䟻㦮㓺㤪⩂⯒ ㌂㣿䞮⓪ ộ㧊 ▪ ⏨㦖䞒䋂 helix angle ⯒ ⹲㌳㔲䋺ἶ 㥶☯ 䢒䞿㠦䣾㥾㩗㧊┺⓪ ộ 㦚⽊ἶ䞮㡖┺. ⡦䞲, Yu ❇ ⁽¹²⁾ 㦖㩧㍶⹿䟻㥶㧛ῂ 㠦㦮䟊 ⹲㌳䞮⓪ 㓺㤪㥶☯㦖㩲䔎㦮㿿ỿ䕢㏢㦢㦚 Ṧ㏢㔲䋺⓪◆ 䣾ὒṖ 㧞㦢㦚 ⹳䡪┺. ⁎⩂⋮, 㧒⹮㩗㦒⪲ 㧊⩂䞲 ⏎㯦㦚㌂㣿䞮⓪ 㡆ῂ㠦㍲, ⏎ 㯦㌗⮮ 㩫㼊㡗㡃䔏㎇㦚䁷㩫䞮₆ 㥚䟊 ⏎㯦⌊

⿖㠦⓪ 㩫㞫Ὃ, 䞒䏶䝚⪲ぢ ⹥ 㤦䐋䡫㦮㡊㩚╖

(thermocouple) ❇㧊㌂㣿♮ἶ 㧞┺. 䡚㨂₢㰖, ⏎ 㯦㦚䐋䞮⓪ 㿎䋂♲ 㥶☯㦮㩲䔎 ῂ㫆⓪ ┾㰖㌗

⮮㢖䞮⮮㦮㞫⩻゚㠦Ⱒ 㦮㫊䞮⓪ ộ㦒⪲ 㞢⩺㪎㧞㠊 ⏎㯦⳿ ㌗⮮ 㺪⻚䡫㌗㦮㡗䟻㦖㦢㏣/㽞㦢

㏣㓺㤪㩲䔎㦮 ῂ㫆⯒ ἆ㩫䞮⓪ 㭒㣪⼖㑮⪲ ἶ⩺

♮㰖㞠ἶ 㧞┺.

⽎㡆ῂ㠦㍲⓪ 㦢㏣/㽞㦢㏣㓺㤪㩲䔎㥶☯㦮 Ὃ   㺪⻚䡫㌗㧊㿿ỿ䕢 ῂ㫆 ⹥ 㞫⩻⿚䙂㠦 ⹎䂮

⓪ 㡗䟻㦚㔺䠮㦚䐋䞮㡂㫆㌂䞮㡖㦒Ⳇ, ⏎㯦 Ὃ   㺪⻚䡫㌗㧊㽞㦢㏣㓺㤪㩲䔎 ῂ㫆㠦䋆㡗䟻㦚

⹎䂾㦚䢫㧎䞮㡖┺. 㔺䠮㠦㍲ ⏎㯦㺪⻚䡫㌗㦮

⼖䢪⯒ 㥚䟊㩲ỆṖ Ṗ⓻䞲䝢⩂⁎㢖㓺㤪㥶☯㦚㥚䞲 4 Ṳ㦮㥶㧛ῂ⪲ ῂ㎇♲ ⏎㯦㦚㧊㣿䞲㡂⩂

Ṗ㰖䡫䌲㦮㺪⻚䡫㌗㧊㌂㣿♮㠞┺. ⏎㯦㞫⩻

゚⓪ 3.0 㠦㍲ 7.0 ₢㰖⼖䢪㔲䆆㦒Ⳇ, 䞒䏶㿿☢㞫

⩻ ⹥ 㩫㞫㦚䁷㩫䞮ἶ ㌺☚㤆⻫㦚㌂㣿䞮㡂㥶☯

㧻㦚 Ṗ㔲䢪䞮㡖┺.

2 柪竞沫獞愕愯憛

2.1 柪竞沫獞

⽎㡆ῂ㠦㍲⓪ Fig.1 㠦 ⋮䌖⌎ ⹪㢖 ṯ㧊㞫㿫

₆, 㩫㼊㔺, 䝢⩒ 㺪⻚, 䞒䏶䝚⪲ぢ, Ἒ䁷㔲㓺䎲

⹥ Ṗ㔲䢪㔲㓺䎲㦒⪲ ῂ㎇♲ 㔺䠮㧻䂮⯒ ㌂㣿䞮㡖┺. 㞫㿫䍇䋂(3.0m ³ )㠦㩖㧻♲ 㞫㿫Ὃ₆Ṗ ⏎㯦

㌗⮮㠦㡆ἆ♲ 㩧㍶⹿䟻㥶㧛ῂ⯒ Ṗ㰖⓪ 䝢⩒㺪

⻚㠦 Ὃ ♮Ⳇ, 䝢⩂⁎Ṗ 䝢⩒ 㺪⻚䡫㌗㦚 ⹪∎

₆ 㥚䟊㌂㣿♮㠞┺. Fig.2 㠦⽎㡆ῂ㠦㍲㌂㣿♲

⏎㯦ὒ 䝢⩂⁎ 䡫㌗㦚㌗㎎䞮Ợ ⋮䌖⌊㠞┺. ⏎㯦㦖 ⳿₎㧊Ṗ 10mm 㧊Ⳇ, 㿲ῂ㰗ἓ De=8.0mm 㧎㦢㏣ ⏎㯦㧊㌂㣿♮㠞┺. 㓺㤪㥶☯㦖 4 Ṳ㦮㩧㍶

⹿䟻㥶㧛ῂ㠦㦮䟊 ⹲㌳䞮Ⳇ, ⏎㯦 Ὃ  㺪⻚㦮䡫㌗㦚⼖䢪㔲䋺₆ 㥚䞮㡂 ⁎Ⱂ㠦㍲㢖 ṯ㦖 9 Ṳ 㦮㍲⪲ ┺⯎ 䡫㌗㦮䝢⩂⁎Ṗ ㌂㣿♮㠞┺.

2.1 柪竞浶兺刂猧洛愯憛

Computer

Light Source

Nozzle Plane Mirror

Concave Mirror

CCD Camera Pressure

Transducer

Pitot Tube Pin Hole

Traverse Pressure Transducer Ball Valve

Control Valve Compressor

Air Drier

Reservoir 1.4 Mpa 3 m³

Flow Meter Plenum

Chamber

Knife Edge Concave Mirror Plane Mirror

Flow

Amplifier

Hose

㫇

_㪇㪈

Fig. 1 Schematic outlook of experimental facility.

Tangential flow Plug

Tangential flow

Dp=㱢20

㱢

48 3

De=㱢8

Supply chamber

10

x r

㩿㪬㫅㫀㫋㪑㩷㫄㫄㪀

Cf S2

30

S1-L

30 6

F0

30

26

C0 Cv

10

C10

10

C30

300

12

S1-S

6

6.2

10

To atm.

55

5

I I I I

Fig. 2 Details of supply chamber, nozzle, and plug configurations (Unit : mm).

(3)

㓺㤪㥶☯㠦 ╖䞮㡂, ₆䞮䞯㩗㓺㤪㑮(Sg)⓪ ┺㦢 ὒ ṯ㦖㓺㤪ṫ☚⪲ 㩫㦮♲┺ ⁽¹²⁾ .

¿ ¾

½

¯ ®

m ) m ( ) m A / D r ( S

a t

e p

g

T

S ² T ⁽¹⁾

m p ⹥ m _s ⓪ ṗṗ 㿫⹿䟻 ⹥ 㩧㍶⹿䟻㥶㧛ῂ⯒

䐋䞮⓪ 㰞⨟㥶⨟㧊┺. r

p

, D

e

, A

t

(㥶㧛ῂ㩚㼊Ⳋ㩗)⓪ Fig.2 㠦 ⋮䌖⌊㠞┺. 㔺䠮㠦㍲ m T ⹥ m a ⓪ ⏎㯦

㌗⮮ 㥶㧛ῂ㠦㍺䂮♲ ⻺䓲ⰂⲪ䌖⯒ 䐋䟊䁷㩫♮

㠞┺. Eq. (1)㠦㦮䟊㩫㦮♲ ₆䞮䞯㩗㓺㤪㑮⓪ 㿲 ῂ㏣☚ ⿚䙂⯒ ἶ⩺䞮㰖⓪ 㞠㞮┺. ⽎㡆ῂ㠦㍲⓪ 㩧㍶⹿䟻㦮㥶☯Ⱒ 㧞⓪ ἓ㤆⪲ ⏎㯦䡫㌗㠦㦮䟊

㍲Ⱒ ἆ㩫♮Ⳇ 㓺㤪㑮 Sg=0.81 ⪲ ἶ㩫♮㠞㦒Ⳇ,

⏎㯦㧛ῂ㦮㌗⮮ 㩫㼊㞫(P

01

)ὒ 㿲ῂ㦮 ╖₆㞫(P

a

) 㠦 ╖䞲㞫⩻゚(NPR)⯒ 3.0~7.0 ₢㰖⼖䢪㔲䆆┺.

㣎ἓ㧊 0.8mm, ⌊ἓ㧊 0.5mm 㧎䞒䏶䝚⪲ぢṖ 㽞㦢㏣㓺㤪㩲䔎㥶☯㧻㦮㿫⹿䟻 ⹥ ⹮ἓ⹿䟻㦒

⪲㦮㿿☢ 㞫⩻㦚䁷㩫䞮₆ 㥚䟊㌂㣿♮㠞┺.

3. 冶刂愕処然

Fig.3 㦖 F0 ἓ㤆㠦 ╖䞲 ╖䞲 Ṗ㔲䢪㌂㰚ὒ ⏎㯦㭧㕂㿫⿖⁒㠦㍲㦮㿿☢㞫⩻ ⿚䙂⯒ ⋮䌖⌊Ⳇ, ⏎ 㯦㞫⩻゚⓪ 3.0~7.0 ₢㰖⼖䢪䞲┺. 㧒⹮㩗㦒⪲

㓺㤪㥶☯㠦㍲㓺㤪 ṫ☚Ṗ 㧒㩫Ṩ 㧊㌗㧊 ♮Ⳋ 㥶

☯㧻 ⌊㠦㡃⮮㡗㡃, 㯟, ⏎㯦㭧㕂㿫⿖⁒㠦㍲㦮㡃㞫⩻ῂ⺆㡗㡃㧊㫊㨂䞮Ợ ♲┺. ⽎㡆ῂ㠦㍲☚

NPR=3.0 㧎ἓ㤆㩲䔎⓪ 㟓Ṛ ⿖㫇䖓㺓㧊 ♮Ⳇ ⏎ 㯦㿲ῂ㠦 ἓ㌂㿿ỿ䕢Ṗ 䡫㎇♲┺. ⁎⩂⋮ ἓ㌂

㿿ỿ䕢⓪ ゚㓺㤪㥶☯㧎 ἓ㤆㠦㍲㢖 ṯ㧊 ⏎㯦㭧㕂㿫㠦㍲ ⹮㌂䞮㰖㞠ἶ, 㩲䔎㭧㕂⿖㠦 ⹲㌳䞲㨂㑲䢮㡗㡃㦮 ἓἚ㠦㍲ ⹮㌂䞮⓪ ộ㦚⽒㑮㧞

┺. NPR ⯒ ▪㤇㯳Ṗ㔲䌊㠦 ➆⧒ 㩲䔎㥶☯㦖 ⏎ 㯦㿲ῂ㠦㍲ ▪㤇䋂Ợ ⿖㫇䖓㺓 ♮Ⳇ ⹪⩦ 㿿ỿ 䕢(barrel shock wave)⯒ ⽒㑮㧞ἶ 㥶☯㧻㦖㽞㦢

㏣㥶☯㡗㡃ὒ 㓺㤪㥶☯㦒⪲ 㧎䞲㨂㑲䢮㡗㡃㦒

⪲ ⿚Ⰲ♾㦚 ⳛ䢫䧞㞢㑮㧞┺. 㧊⓪ Yu &

Chen ⁽¹²⁾ 㦮㡆ῂ㠦㍲☚ 䢫㧎䞲 ⹪ 㧞┺. NPR=7.0 㦒⪲ 㯳Ṗ䞮Ⳋ Fig. 3(b)㠦゚䟊㨂㑲䢮㡗㡃㦮䋂

₆⓪ 㯳Ṗ䞮Ⳇ ⹪⩦㿿ỿ䕢⓪ ▪㤇 ṫ䟊㰖Ợ ♲┺.

⡦䞲㨂㑲䢮㡗㡃㦮㾲╖ 㰗ἓ㦖㞫⩻゚㠦 ➆⧒

㯳Ṗ䞮ἶ ╖⨋㩗㦒⪲ ┺㧊㞚ⴂ✲ 䡫㌗㦚 ⋮䌖⌊ἶ 㧞┺. 㧊⩂䞲㥶☯䔏㎇㦖㿿☢㞫⩻⿚䙂㠦㍲㫖▪

㩫⨟㩗㦒⪲ 䢫㧎䞶㑮㧞┺. 㩗㣿♲ ⳾✶ 㞫⩻゚

㠦 ╖䞮㡂 ⏎㯦㿲ῂ㠦㍲㿿☢㞫⩻㦖㦢(negative) 㦮 Ṩ㦚 Ṗ㰖Ⳇ 㧊⓪ 㧊㡗㡃㦮㥶☯㧊㡃⮮䞾㦚

(a) p

₀₁

/p

_a

= 3.0

(b) p

₀₁

/p

_a

= 5.0

(c) p

₀₁

/p

_a

= 7.0

p imp ac t /p 01 (G ag e)

x/D _e

p

₀₁

/p

_a

= 3.0 p

₀₁

/p

_a

= 5.0 p

01

/p

a

= 7.0

0 2 4 6 8 10

-0.4 -0.2 0 0.2 0.4

Fig.3 Shadowgraph pictures and impact pressure distributions(F0)

㦮⹎䞲┺. NPR 㧊㯳Ṗ䞾㠦 ➆⧒ 㡃⮮㡗㡃㦖 Ṧ㏢

䞮Ợ ♮Ⳇ, 䘟‶㿿☢㞫⩻㦖㯳Ṗ䞮ἶ 㧞㠊⿖㫇䖓㺓㓺㤪㩲䔎 ῂ㫆⓪ ⏎㯦㞫⩻゚㠦䋂Ợ 㡗䟻㦚

⹱⓪┺⓪ ộ㦚㞢㑮㧞┺. 㨂㑲䢮㡗㡃⌊㠦㍲㿿

☢㞫⩻⿚䙂㦮㯳Ṗ㢖 Ṧ㏢⓪ 㓺㤪㩲䔎⌊㠦 ⹲㌳䞮

⓪ 㿿ỿ䕢㦮㨂㑲䢮㡗㡃ἓἚ㠦㍲㧛㌂ ⹥ ⹮㌂㠦

➆⯎ 㡗䟻㧊⧒ ㌳ṗ♮㠊㰚┺.

3.1 煚憊啣埮抆笛旇汞欇窫

-0.4 -0.2 0 0.2

-0.4 -0.2 0

p /p imp ac t 01 (G ag e) 0.2

x/D _e

( F0, C0, Cv ) p

01

/p

a

= 3.0

p

01

/p

a

= 5.0

p

01

/p

a

=7 .0

0 1 2 3 4 5 6 7 8 9 10

-0.4 -0.2 0 0.2

Fig.4 Impact pressure distributions

Fig.4 㠦⓪ 㺪⻚ ⊳┾⿖䡫㌗㧊㿿☢㞫⩻ ⿚䙂㠦

⹎䂮⓪ 㡗䟻㦚゚ᾦ䞮㡖┺. ⊳┾⿖㦮䡫㌗㧊䘟Ⳋ (F0), 㡺⳿(C0) ⹥ ⽒⪳(Cv) 䡫䌲㦮䝢⩂⁎Ṗ ㌂㣿

♮㠞㦒Ⳇ NPR=3.0~7.0 ₢㰖⼖䢪䞲┺. NPR=3.0 㧎

(4)

ἓ㤆, F0 ἓ㤆Ṗ C0 㢖 Cv ⽊┺ 䘟‶㿿☢㞫⩻㧊 ⌄ ἶ, C0 㢖 Cv ἓ㤆⓪ Ệ㦮㥶㌂䞲㿿☢ 㞫⩻⿚䙂 Ṩ㦚⽊㡂㭒ἶ 㧞┺. ⁎⩂⋮ 㧊⩂䞲㹾㧊☚ NPR Ṗ 㯳Ṗ䞾㠦 ➆⧒ 㩦㹾 Ṧ㏢䞮ἶ 㧞㦒Ⳇ 㩗㣿♲

⳾✶ ἓ㤆㠦 ╖䞮㡂 ☯㧒䞲⿚䙂ἓ䟻㦚⽊㡂㭒ἶ 㧞㠊㺪⻚ ⊳┾⿖㦮䡫㌗㦖⿖㫇䖓㺓㓺㤪㩲䔎䔏

㎇㠦䋆㡗䟻㦚 ⹎䂮㰖㞠⓪┺ἶ ㌳ṗ♮㠊㰚┺.

3.2 洛橛击 (Pressure tap )汞欇窫

(Cf) (C30) (C10) (C0)

-0.4 -0.2 0 0.2 0.4

-0.4 -0.2 0 0.2

p /p im pa ct 01(Ga ge ) 0.4

x/D _e

( C0, C10, C30, Cf )

p

₀₁

/p

_a

= 7.0 p

01

/p

a

= 5.0 p

₀₁

/p

_a

= 3.0

0 1 2 3 4 5 6 7 8 9 10

-0.4 -0.2 0 0.2 0.4

p

₀₁

/p

_a

= 7.0

Fig.5 Shadowgraph pictures and impact pressure distributions

㞴㠦㍲☚ ㍲㑶䞮㡖❅㧊, 㧒⹮㩗㦒⪲ ⏎㯦㦚㧊㣿䞲㡆ῂ㠦㍲⓪ ⏎㯦㌗⮮㦮㩫㼊㩦㞫⩻㦚䁷㩫䞮

₆ 㥚䞮㡂㰗ἓ 1mm-10mm 㩫☚㦮㩫㞫Ὃ㦚㧊㣿䞮ἶ 㧞┺.

㧊⩂䞲㩫㞫Ὃ㧊㓺㤪㩲䔎㠦 ⹎䂮⓪ 㡗䟻㦚䢫㧎䞮₆ 㥚䞮㡂㺪⻚ ⊳┾⿖㠦㰗ἓ 5mm 㦮㩫㞫Ὃ 㦚 ṖὋ䞮ἶ ⏎㯦⌊Ⳋ㠦㍲㞫⩻㎒㍲₢㰖㦮 ỆⰂ⯒

⼖䢪㔲䋺Ⳋ㍲㫆㌂䞲 ἆὒ⯒ Fig.5 㠦 ⋮䌖⌊㠞┺.

Ṗ㔲䢪㌂㰚㦚⽊Ⳋ, 䢖(㩫㞫Ὃ)㦮 ₠㧊(⏎㯦⌊Ⳋ 㠦㍲⿖䎆㞫⩻㎒㍲⿖㹿㥚䂮₢㰖㦮 ỆⰂ)㠦 ➆⧒

㿿ỿ䕢 ῂ㫆⓪ 䋂Ợ ╂⧒ 㰖⓪ ộ㦚㞢㑮㧞┺.

䔏䧞 C10 䝢⩂⁎Ṗ ㌂㣿♲ ἓ㤆㩲䔎㥶☯⌊㠦㨂㑲䢮㡗㡃㧊⽊㧊㰖㞠ἶ ゚㓺㤪㩲䔎㠦㍲ ⹲㌳䞮

⓪ Ⱎ䞮❪㓺䋂Ṗ 䡫㎇♮ἶ 㧞㦢㦚⽒㑮㧞┺.

C30 㦮 ἓ㤆☚ ⏎㯦㿲ῂ 㴓㦒⪲ Ⱒἷ♲ 㿿ỿ䕢Ṗ 䡫㎇♮ἶ 㧞㦒Ⳇ 㨂㑲䢮㡗㡃㦮 ῂ㫆⓪ C0 ἓ㤆㠦

゚䟊䋂Ợ ┺⯎ 䡫㌗㦚⽊㡂㭒ἶ 㧞┺. 㧊⩂䞲㩫㞫Ὃ㧊⿖㫇䖓㺓㓺㤪㩲䔎䔏㎇㠦 ⹎䂮⓪ ἓ䟻㦖㿿☢ 㞫⩻⿚䙂㠦㍲㫖▪ ⳛ䢫䧞㞢㑮㧞┺.

NPR=3.0 㧎 ἓ㤆㠦㿿☢㞫⩻⿚䙂⓪ 㩫㞫Ὃ ₠㧊㠦

➆⧒ 䋆㹾㧊⯒ ⽊㧊⋮ 㩗㣿♲ ⳾✶ ἓ㤆㠦㦢

(negative)㦮㿿☢㞫⩻ Ṩ㦚 ⋮䌖⌊ἶ 㧞㠊㨂㑲䢮㡗㡃㧊㫊㨂䞾㦚㞢㑮㧞┺. 䘟‶ 㿿☢㞫⿚䙂

⓪ C10 ἓ㤆Ṗ ἓ㤆Ṗ Ṗ㧻 ⏨㦒Ⳇ, C0 ἓ㤆Ṗ Ṗ 㧻 ⌄Ợ ⋮䌖⋮ἶ, ⏎㯦㞫⩻゚Ṗ 㯳Ṗ䞶㑮⪳ ⁎ 㹾㧊⓪ 㩦㹾 Ṧ㏢䞮ἶ 㧞┺. NPR=5.0, 7.0 㧎 ἓ㤆, C10 㦮 ἓ㤆⓪ 䝢⩂㓺㿿☢㞫⩻Ṩ㦚 ⋮䌖⌊ἶ 㧞㠊㨂㑲䢮㡗㡃㧊㠜㦢㦚㞢㑮㧞┺. 㧊⩂䞲 ⏎ 㯦㞫⩻゚㠦 ➆⯎ 㡗䟻㦖 ⏎㯦㞫⩻゚㠦 ➆⧒ ⹲

㌳♮⓪ ㍶䣢⮮ ⹥ 㿿ỿ䕢 ṫ☚㠦 ὖ⩾㧊㧞┺ἶ

㌳ṗ♮㠊㰚┺.

3.3 旃沋夢毖皻笛戏汞欇窫

( S2 ) ( S1-L )

( F0 )

(a) p ₀₁ /p _a = 3.0 (b) p ₀₁ /p _a = 7.0 Fig.6 Shadowgraph pictures

Fig.6 㠦⓪ F0 ἓ㤆⯒ ₆㭖㦒⪲ ⏎㯦 Ὃ  㺪⻚

⌊㠦㙦₆ 䡫㌗(S1-L) ⹥ ⽒䔎䡫㌗(S2)㦮⽟㦚㧊㣿䞮㡂 ⏎㯦 ⌊⿖㠦㍺䂮♮⓪ 㡊㩚╖㦮㡗䟻㦚㫆

㌂䞮₆ 㥚䞲 Ṗ㔲䢪㌂㰚㦚 ⋮䌖⌊㠞┺. S1-1 ⹥ S2 㦮䡫㌗㦖 Fig.2 㠦㧦㎎䧞 ⋮䌖⌊㠞┺. NPR=3.0 㧎 ἓ㤆, ⳾✶ ἓ㤆㠦 ╖䞮㡂㥶☯㧻㦖䋆⼖䢪Ṗ 㠜⓪ ộ㦒⪲ ⽊㡂㰚┺. ⁎⩂⋮ NPR Ṗ 7.0 㦒⪲ 㯳 Ṗ䞲 ἓ㤆, ⽟㦮㫊㨂 ⹥ 䡫㌗㠦 ➆⧒ 㓺㤪㩲䔎 ῂ㫆⓪ ┺⯊ἶ S1-L 㦮 ἓ㤆, C10 ἓ㤆㢖 Ⱎ㺂Ṗ㰖

⪲ 㨂㑲䢮㡗㡃㦖⽊㧊㰖㞠㦒Ⳇ ṫ䞲 Ⱎ䞮❪㓺䋂 Ṗ 䡫㎇♮ἶ 㧞㦢㦚㞢㑮㧞┺.

㧊ộ㦚㩫⨟㩗㦒⪲ 㫆㌂䞮₆ 㥚䞮㡂 ṗṗ㦮 ἓ㤆㠦 ╖䞲㿫⹿䟻 ⹥ ⹮ἓ⹿䟻㦒⪲㦮㿿☢ 㞫⩻⿚䙂

⯒ Fig.7 ⹥ Fig.8 㠦 ⋮䌖⌊㠞┺. S1-L ἓ㤆 ⳾✶ 㞫

⩻゚㠦㍲㦢(negative)㦮㿿☢㞫⩻Ṩ㦖 ⋮䌖⋮㰖㞠㦒Ⳇ 㧒⹮㩗㧎㽞㦢㏣゚㓺㤪㩲䔎㢖 ⰺ㤆㥶㌂

䞲 ἓ䟻㦚⽊㧊ἶ㧞┺ ⁽¹³⁾ . ⹮Ⳋ㠦 S2 ἓ㤆 F0 ἓ㤆

(5)

-0.4 -0.2 0 0.2 0.4

-0.4 -0.2 0 0.2

p /p

impact01(Gage)

0.4 x/D

_e

( F0, S1-L, S2 )

p₀₁

/p

_a

= 7.0

p₀₁

/p

_a

= 5.0

p₀₁

/p

_a

= 3.0

0 1 2 3 4 5 6 7 8 9 10

-0.4 -0.2 0 0.2 0.4

Fig.7 Impact pressure distributions

= 1 . 0

0 1 . 0

r/De

pi m p a c t/ p0 1 ( G a g e ) x / De= 0 . 1

( b ) p0 1/ pa = 7 . 0

0 1 . 0

- 1 - 0 . 5 0 0 . 5

1 = 2 . 0

0 1 . 0

= 3 . 0

0 1 . 0

= 1 1 . 0

0 1 . 0

= 1 . 0

0 1 . 0

r/De

pi m p a c t/ p0 1 ( G a g e ) x / De= 0 . 1

( F 0 , S 1 - L , S 2 )

( a ) p0 1/ pa = 3 . 0

0 1 . 0

- 1 - 0 . 5 0 0 . 5

1 = 2 . 0

0 1 . 0

= 3 . 0

0 1 . 0

= 1 1 . 0

0 1 . 0

Fig.8 Radial impact pressure distributions

⽊┺ 䘟‶ 㿿☢㞫⩻㧊 ⏨Ợ ⋮䌖⋮Ⳇ 㨂㑲䢮㡗㡃㧊㫊㨂䞮⓪ ộ㦚㞢㑮㧞┺. 䔏㧊䞲 ộ㦖 S2 ἓ 㤆, NPR 㧊㯳Ṗ䞮Ⳋ ⏎㯦㿲ῂ㠦㍲⓪ 䝢⩂㓺㿿

☢㞫⩻Ṩ㦚 Ṗ㰖ἶ 㫆⁞ 䞮⮮㠦㍲㦢(negative)㦮㿿☢ 㞫⩻Ṩ㦚 Ṗ㰖ἶ 㧞㠊 Ὃ 㺪⻚䡫㌗㧊㨂㑲䢮㡗㡃㦮 ⹲㌳㥚䂮 ⹥ 䡫㌗㠦㡗䟻㧊㧞㦢㦚㞢㑮㧞┺. 㨂㑲䢮㡗㡃㦮㰗ἓ ⹥ 㨂㑲䢮 ṫ☚ 䔏

㎇㦖, ⹮ἓ⹿䟻㿿☢㞫⩻, ⁎Ⱂ 8 㠦㍲㞢㑮㧞┺.

⁎Ⱂ㦮䣷㿫㦖 ⏎㯦㭧㕂㠦㍲㦮㿿☢㞫⩻㦚, 㫛㿫㦖 ⏎㯦㭧㕂㿫㠦㍲ ⹮ἓ⹿䟻㦒⪲㦮 ỆⰂ⯒ ⏎㯦㿲ῂ 㰗ἓ D ⪲ ⶊ㹾㤦䞲 ỆⰂ⯒ ⋮䌖⌊ἶ 㧞┺.

䁷㩫♲ ⏎㯦㿿☢㞫⩻㧊㦢(negative)㦮 Ṩ㦚 Ṗ㰖

⓪ 㡗㡃㧊㥶☯㧊㨂㑲䢮 ♮⓪ 㡗㡃㦒⪲, 㧊㡗㡃㠦㍲㦮 r/De Ṩ㦖㨂㑲䢮㡗㡃㦮 ⹮ἓ㦚㦮⹎䞲┺.

NPR=3.0 㧎 ἓ㤆, S1-L ἓ㤆⓪ 㞴㠦㍲☚ ㍲㑶䞲ộ ὒ ṯ㧊㨂㑲䢮㡗㡃㦚 Ṗ㰖ἶ 㧞㰖㞠㦒⋮, F0

⹥ S2 ἓ㤆⓪ 㨂㑲䢮㡗㡃㧊 ⋮䌖⋮ἶ 㧞┺. ⁎⩂

⋮ S2 ἓ㤆⓪ ⏎㯦䞮⮮㴓㦒⪲ 㰚䟟䞮Ⳋ㍲  ㏣㧊 Ṧ㏢䞮㡂 x/De=2.0 㠦㍲⓪ 㨂㑲䢮㦖㫛⬢♮ἶ 㧞㦒

⋮, F0 ἓ㤆⓪ 䞮⮮⪲ 㰚䟟䞮Ⳋ㍲㨂㑲䢮㡗㡃㰗

ἓ㦖 ▪㤇㯳Ṗ䞮ἶ 䞮ἶ 㧞㦢㦚㞢㑮㧞┺.

NPR=7.0 㧎 ἓ㤆㨂㑲䢮㡗㡃㦮㰗ἓ㦖 NPR=3.0 㦮 ἓ㤆㠦゚䞮㡂䤾㞂䋂⋮ 㡃㞫⩻ῂ⺆⓪ 㧧㦖 ộ㦒⪲ ⽊㡂㰚┺. ⏎㯦 Ὃ  㺫⻚ ⌊㠦㌓㧛♮⓪

⽟㦖(㡊㩚╖) 㓺㤪㩲䔎ῂ㫆䔏䧞㨂㑲䢮㡗㡃㦮

㌂㧊㯞, 㥚䂮 ⹥ 㨂㑲䢮 ṫ☚㠦䋂Ợ 㡗䟻㦚 ⹎䂾㦚㞢㑮㧞┺.

3.4 旃沋夢毖皻笛戏汞氊獞櫖娶幾欇窫

-0.4 -0.2 0 0.2 0.4

-0.4 -0.2 0 0.2

p /p im pact 01 (G ag e) 0.4

x/D _e

( F0, S1-S, S1-M, S1-L)

p

₀₁

/p

_a

= 5.0

p

₀₁

/p

_a

= 7.0 p

₀₁

/p

_a

= 3.0

0 1 2 3 4 5 6 7 8 9 10

-0.4 -0.2 0 0.2 0.4

Fig.9 Impact pressure distributions

Fig.9 ⓪ 㺪⻚㠦㌓㧛♲ 㤦䐋䡫⽟㦮㥚䂮㠦 ➆

⯎ 㿿☢㞫⩻ ⿚䙂䔏㎇㦚 ⋮䌖 ⌎ ộ㧊┺. S1-L 㦮 ἓ㤆⓪ 㤦䐋 ⊳┾⿖Ṗ 㩧㍶⹿䟻㥶㧛ῂ㠦㥚䂮䞮Ⳇ, S1-M ὒ S1-L ἓ㤆⓪ 㩧㍶⹿䟻㥶㧛ῂ⽊┺

䞮⮮㠦㥚䂮䞲┺. NPRp=3.0 㠦㍲ S1-M ὒ S1-L ἓ 㤆⓪ 㨂㑲䢮㡗㡃㦚 Ṗ㰖㰖㞠⓪ ộ㦒⪲ ⋮䌖⋮ἶ 㞫⩻゚ ⹥ ⽟㦮㥚䂮㠦 ➆⧒ 㓺㤪㩲䔎ῂ㫆Ṗ 䋆㡗䟻㦚 ⹱⓪┺⓪ ộ㦚㞢㑮㧞┺.

3.5 筂穯匾決櫖惾獞垚欇窫

Fig. 10 㦖㽞㦢㏣㡗㡃ὒ 㡃⮮ 㡗㡃㦒⪲ ⋮⒮㠊㰚㽞㦢㏣㓺㤪㥶☯㧻㧊㿿⿚䞲䢒䞿㧊㧊⬾㠊㪎㧒㩫䞲㞫⩻ ┾Ⳋ㦚 Ṗ㰖⓪ 㥚䂮₢㰖㦮 ⏎㯦㿲ῂ⪲

⿖䎆㦮 ỆⰂ⯒ 䢒䞿₎㧊⪲ 㩫㦮䞮㡂 ⏎㯦㿲ῂ 㰗 ἓ D ⪲ ⶊ㹾㤦䞲 Ṩ㦚 ⋮䌖⌎ ộ 㧊┺. ⁎Ⱂ㠦

㍲㞢㑮㧞❅㧊㞫⩻゚Ṗ 㯳Ṗ䞶㑮⪳ 䢒䞿₎㧊⓪ 㯳Ṗ䞮ἶ ⏎㯦㺪⻚䡫㌗㠦㡗䟻㦚 ⹱⓪ộ㦚㞢㑮㧞┺. S1-L ἓ㤆, F0 㠦゚䞮㡂㾲╖ 㟓 42%, 㾲㏢

㟓 13% Ṧ㏢䞮ἶ 㧞┺. 㧊⩂䞲䢒䞿㡗㡃㦮

(6)

o-a : 1 mm o-b : 3 mm

Nozzle

o ab

㱢 8

x _m /D _e p

i0

/p

⁰¹

x/D _e

o a b

F0 C30 S1-L S2

x m /D e

p 01 /p a

3 4 5 6 7

4 5 6 7 8 9 10 11 12

Fig.10 Mixing length of the swirling flow

㥚䂮⓪ 㡆㏢㠦㍲ ⹲㌳䞮⓪ 䢪㡒㦮 ₎㧊 ⹥ 㞞㩫䢪㠦㭧㣪䞲⼖㑮⪲ 㧧㣿䞮Ⳇ, ⏎㯦㺪⻚䡫㌗㦚㧊㣿䞮㡂㫆㩞㧊 Ṗ⓻䞮┺⓪ ộ㦚⽊㡂㭒ἶ 㧞┺.

4 冶嵦

⽎㡆ῂ⓪ ⏎㯦 Ὃ  㺪⻚䡫㌗㧊⿖㫇䖓㺓㓺㤪㩲䔎 ῂ㫆㠦 ⹎䂮⓪ 㡗䟻㦚㔺䠮㦚䐋䞮㡂㫆㌂

䞮㡖┺. 㧊⯒ 㥚䞮㡂 ⏎㯦㞫⩻゚ ⹥ 㺪⻚䡫㌗㦚

⼖䢪㔲䋺Ⳋ㍲㓞Ⰲ⩢ ὧ䞯⻫㦚㌂㣿䞮㡂㥶☯㧻㦚 Ṗ㔲䢪䞮㡖ἶ, 㿿☢㞫⩻ ⿚䙂⯒ 䁷㩫䞮㡖┺. ⁎ ἆ ὒ, ⏎㯦㺪⻚䡫㌗㦖⿖㫇䖓㺓㓺㤪㩲䔎㦮㭒㣪䔏㎇, 㯟㩲䔎㥶☯㧻㿿☢ 㞫⩻⿚䙂, 㨂㑲䢮㡗㡃 ỆⰂ ⹥ 㰗ἓ, ⁎Ⰲἶ 䢒䞿ỆⰂ❇㠦䋆㡗䟻㦚 ⹎ 䂮⓪ ộ㦚㞢㑮㧞㠞┺. 㽞㦢㏣ ⏎㯦 ⹥ 㩧㍶ ⹿ 䟻㦮㓺㤪㥶☯㦚㧊㣿䞲㽞㦢㏣㓺㤪㩲䔎䔏㎇

㡆ῂ㠦㍲⓪ ⏎㯦⌊ 㡊㩚╖ ⹥ 㩫㞫Ὃ ㍺䂮㠦䔏

⼚䞲㭒㦮⯒ 䟊㟒䞮Ⳇ, ⏎㯦㺪⻚䡫㌗㦚㧊㣿䞮㡂㨂㑲䢮㡗㡃㦮㌂㧊㯞⯒ 䄾䔎⪺ 䞶㑮㧞㦢㦚䢫㧎䞮㡖┺. ⁎⩂⋮ 㞴㦒⪲ ⏎㯦㺪⻚䡫㌗㧊㓺㤪㥶☯䔏㎇㠦 ⹎䂮⓪ Ⲫ䃊┞㯮㠦 ╖䞲㌗㎎䞲㡆 ῂṖ 䞚㣪䞮┺.

焾処怾竒

(1) Lilley D.G., 1977, “Swirl Flows in Combustion: A Review,” AIAA Journal, Vol. 15, No. 8, pp. 1063-1078.

(2) Mauchton J. W., Cattafesta III L.N., and Settles G.S., 1996, “An experimental study of compressible turbulent mixing enhancement in swirling jets,” J.

Fluid Mech., Vol. 330., pp.271-305.

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The Influence of the Supply Chamber Configuration on Under-Expanded Swirling Jets

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