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JAST. Vol. 9, No. 1, pp 13-26

© Iranian Aerospace Society, Winter - Spring 2012

J

Journal of

A S T

Aerospace Science and Technology

Nomenclature

k Pk

T

L

v2 !

t "

f # Ui $ %& " "

u'i u'J %&

T'u'j ' %# Sij

Rey ( Dj ) (

Vcf $ %& " in * $ %&

AR + $ ) , out - $ %&

T Time tl Turbulence Time Scale

An Innovation in Film Cooling of Gas Turbine Blades Applying an Upstream Jet

M.R. Salimi

1

, M. Taeibi-Rahni

2

, M. Ramezanizadeh

3

, and R. Farhadi-Azar

4

A new design concept is introduced to control the near-wall integration between the !""# "# ! ! # ! " $ -% "# "" " & ( "" (!"#! "$! # )#((!!!" $ &#" $(! # " #"&!! $! !#!! # " & " using the Reynolds-averaged Navier-Stokes equations closed by the v2f - k w turbulence &$$(!*!+, ./++#"

Keywords0 1 3 # 4 & 5# 6" 7# 8 9#2f - k w Turbulence Model

1. Ph.D Student, Dep't. of Aerospace Eng., Sharif University of #&#=0>?@BC 2. Professor, Dep't. of Aerospace Eng., Sharif University of

Technol-ogy, Tehran, Iran.

?) F G3" )H# K"O )" Eng., Shahid Sattari Aeronautical University of Science & #&#=0WWC . 9 4# K"O )" = # 9 6

Technology, Tehran, Iran.

1 Introduction

(2)

' M.R. Salimi, M. Taeibi-Rahni, M. Ramezanizadeh, and R. Farhadi-Azar

( ) # * ! # +/ 4(#!# 4 # %578:& ! 4+ ;

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(3)

!4-> An Innovation in Film Cooling of Gas Turbine Blades Applying an Upstream Jet

@7<L 4 EG<*U<

Z=

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+ 4

2 Governing Equations

+ # k 7 U-4<("

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3 Turbulence Models

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C M.R. Salimi, M. Taeibi-Rahni, M. Ramezanizadeh, and R. Farhadi-Azar # +#-!+Q? Z k f

v2 "

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4 Numerical Approaches

< <)L:EG - +# 4 @ # %*L@& 4# ?D

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E E D

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5

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(5)

D An Innovation in Film Cooling of Gas Turbine Blades Applying an Upstream Jet

5 Physical Domain and Boundary Conditions * 4 -+#

5.1 Ordinary Film-Cooling Physical Domain H ! ! -! + %H&

#-%E*8&%

k

H

&

@! Q' ! %! *& QD ! 7 % *& 'D??

s m

5 .

5 !)

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# 5D'?*%

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5.2 Physical Domain of the New Film-Cooling Approach ) ( !! -+4 ! %H Q& ( U / !7( 578: !-(%?Q>&

5.3 Boundary Conditions

H + + +# "

&(!530

@-(

2

D

-(Q'H + 4

(6)

K M.R. Salimi, M. Taeibi-Rahni, M. Ramezanizadeh, and R. Farhadi-Azar

4

D

Y

2

/(( # @!Q' Q[ +!+@+

!+ 2

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all models, (20)

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(23)

(24)

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y

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6 Grid-Sensitivity and Code-Validation Studies -/ +

-+!! Q ; $

! 4Y4! + %H;

H' +

(16)

(18)

(19)

(7)

= An Innovation in Film Cooling of Gas Turbine Blades Applying an Upstream Jet

5 Ni U! U(

;? '> Q> 'CQ>?

Q ;? D? Q> QQD>??

; '? K? '> >?'???

' C? ?? C? =C????

5 Ni U! U(

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5 Ni U! U(

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Q C QK ? CK?

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X/Dj

Y/

D

j

X/Dj

Z/

Dj

) % !& # @! Q'@ !44 +#+ Y ( Y (+ @ -4 + 4 J %Z =& !"#

Table 2. Number of grid points used in the main jet channel.

Table 3. Number of grid points used in the upstream jet channel.

$" cooling effectiveness.

(8)

Q? M.R. Salimi, M. Taeibi-Rahni, M. Ramezanizadeh, and R. Farhadi-Azar

v2fkZ

4

4 %Y*!w?&

4 ~Y*!w> H >@

kZ SST

-44 4 4

H>Xv2fkZ

@!Q'$ Z

k f

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=4Q? %G&

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Z

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U/Vj

Y/

D

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H C (

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~Y*!wK@ kZ

SST

v2f kZ

(

k

=<

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# (

v2fkZ

!

Z

k

SST

v f

2

k

Z

k

Z

SST

( 4 2

v f kZ

7. Results and Discussion

X/D=3.0.

X/D=5.0.

X/D=8.0.

& '"(""-vided by different turbulence models at Z/D=0.0. Figure 5. Comparison of the stream-wise velocity components

provided by different turbulence models at Z/D=0.0 and X/D=5.0.

(9)

Q An Innovation in Film Cooling of Gas Turbine Blades Applying an Upstream Jet

@ 4 ! + ( ) -% Q>&! !) +-! !+@ ! ! +H !(

7.1 Hydrodynamics of the Flow

P -!+ +++

+ Q'U + 4 !

! !J +

"

a) ) H D

% + & + ! ( + + (/ / ! + % !& +%!&B<8 4 + ! # H K !

)H=4

!) 4 + ! 4 %! &

Figure 7. Stream lines and pressure contours at Z/D=0.0.

Figure 8. Film cooling effectiveness contours **+

(10)

QQ M.R. Salimi, M. Taeibi-Rahni, M. Ramezanizadeh, and R. Farhadi-Azar

b) )! !+(

! ! + + % & !@ H= !#) !

c)

B!#!-+ B!#!-+ !+-H? 4

!Z /Dj 0

4 ~Y*!w?@

&!-Q& ( ;& ( + (

@(c) !

! + + ! ) (578:# !+ H 4

!Y*!w4?>

~Y*!w? U !

-(4 ! 578: ! (HQ

~Y*!w;>

! Figure 9. Comparison of the span-wise averaged and centerline

;

< '";" +

Centerline Ef

fectiv

(11)

Q; An Innovation in Film Cooling of Gas Turbine Blades Applying an Upstream Jet

4

7.2 Hot Upstream Jet

) ! !J+ %& %& -!@ !%& !+ %&%& ) ! 4 H;H %&! %&%& Figure '"";"

+

X/D=3

X/D=5

Figure 12. Local temperature distribution at different X/D positions.

X/D=3

(12)

Q' M.R. Salimi, M. Taeibi-Rahni, M. Ramezanizadeh, and R. Farhadi-Azar

!

7.3 Effects of Jets’ Area Ratio

) !! + ) ~4 !(-„

.

width

direction

Z

jet

main

The

width

direction

Z

jet

upstream

The

A

R

(26)

?Q>>

H'4 H -< H >

HC4 ! @ [>; @7w? [D; @7wQ> [K' @7w> $

% '"";

between hot and the cold upstream jets.

>";;" for three different area ratios.

? ';" different area ratios.

(13)

Q> An Innovation in Film Cooling of Gas Turbine Blades Applying an Upstream Jet

Figure 16. Rise in span-wise averaged effectiveness for three differ-ent area ratios.

7.4 Effects on the Skin Friction Drag (

( +@ HD( -@( [Q?? !

8 Conclusions

) 4) !! ! ! +<8 4 + @! + !-!+ !

!! 4 ?> @ %~Y *! …?& ! @ ( 4-H !

9 References

O 5U L/4$ 7H †H 55 <7 8<@5+":) G ‡International Journal of Heat and Mass Transfer8'CUQQQ4Q;>Q??;

Q 7/@ *ˆ †E4 E G H 5"@ H<G 5 ‡International Journal of Heat and

Fluid Flow8Q=U4DQ??K

; P ~ < B L( L †E G < H 5 H‡ 5-‰H8;>UC>KDŠC?CQ??C

' @ L< †H 5 5 <‡ L< H E < k @L5Q??;

> $ < @4/ <: Z $@ †H5G < 5‡Heat and Mass Transfer. J 8''UK=K=4==KQ??K

(14)

QC M.R. Salimi, M. Taeibi-Rahni, M. Ramezanizadeh, and R. Farhadi-Azar

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8 5‡Journal of

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D 7//L47L< L †) * 7 G U )! 5 Z 5 H‡ @ @ L 8 DD U K;>4K'DQ??D

K * Z </@ B < G 5 < H 5 < P

8:<L‡International Journal

of Rotating Machinery 8 ? U > ;'>4 ;>'Q??'

= L Z B 5O †U @ < G 5 G H:)))5 5‡International Journal of Heat and Mass Transfer8'=U‹>4C==4=;KQ??C

? EO@*G((<†$ <H5")+ <‡International Journal of Heat and Fluid Flow8QKU>=QQ4=;Q??D

<78<4 @5+":)G ‡ International Journal of Heat and Mass Transfer 8'CUQQQ4Q;>Q??;

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> <( U < †) @ H45G kk 7‡Journal of Heat Transfer8Q=U' 'C'4'DQ??C

C Z ˆ 47 L * L †Z445+ $4E 5"

)-P5‡AIAA Journal

8'>UQQ=?4Q=Q>Q??D

D @ < L @ †H : H 5 P <‡ @ UO(@ <=;'4=Q??

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Figure

Table 3. Number of grid points used in the upstream jet channel.
Figure 5. Comparison of the stream-wise velocity components U/Vjprovided by different turbulence models at Z/D=0.0 and X/D=5.0.
Figure 8. Film cooling effectiveness contours����������������������������������������������������
Figure 9. Comparison of the span-wise averaged and centerline ��������������������������
+3

References

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