ganj110@mail.uk.ac.ir

xNO

.

xNO

Echigo][

Tong

(Spherical harmonic method)][

][

Brenner

][

Talukdar

][

Collapsed dimension

][

(Two-flux model)

][

ixx

02R30 xx

0gT

(Slug)gu

21 xxx

T

o

oo

o

o

o

oo

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

oo

o

o

o

o

o

o

oR0 Radiant

output

Air-Fuelmixture

Tg 0 , ug

x

x1

x3

x2

-Xi.

hw , T 8

Porous mediumCombustion zone

))(())(())(2()( 20

200

20 R

x

TK

xTTRANhTTRhR

dx

dTcu gpgsssgw

gggg

0))(( 20

.RxQ

0)( gPsssn TTANh

dx

dq

4222 pasa Tqbqdx

dqqb s2

4222 pasa Tqbqdx

dq

qb s2

qqnq

0)(2

0

TTR

h

dx

dTcu g

wgggg

shsN

sAas

b

(x)(delta function)21 xxx

q, q

3

0

02 ge

ggg

g

ggg

ggg

ww T

cu

k

cuPe

cu

hP

R4

31

00

0

,,

2 gge

sssgggg

T

qQ

T

ANhR

Qx

TcuP

300 xx

cu

RANhQ ee

sss

ggg00R

xX

T

T

ge

s

PeR

PQ

0

1

)()()(2

R

P

xQP

dX

dpggw

g 01

2

2

dX

d

Peg

4)1(2)( ppgR ))(1( QQ

QbQd

dQ2)1(2 Qbp 2)1(2 4

QbQd

dQ2)1(2 Qbp 2)1(2 4

g

3xx

)(2gw

Pdx

d g at 3xx

0Q at 0x

0Q at 3xx

pg

QQ ,

(Central differencing)

(Runge-Kutta)

gpQ Q

(Thomas Algorithm)

g

g

QQ

p

][

][

0 0.25 0.5 0.75 10

2

4

6

8

10

g

Tong and Sathe [6]

Present work

-

272,227,1468,1,2.0/ 00 PeQR

5.0,0,10136.0 ,1 fwPP

1P

0g

1P

0 0.25 0.5 0.75 10

5

10

15

20

25

30

35

40

P1 = 0.005

P1 = 0.001

P1 = 0.01

g

combustionzone

1P

153,71.9,200,1.0/ 0 PeQR

5.0,0,1,0 fwp

0 0.25 0.5 0.75 10

2

4

6

8

10

12

combustionzone

Q=500Q=100

Q=1000g

153,71.9,006.0,1,1.0/1

00 PePR

5.0,0,1,1.0 fwP

Q

Radiant outputQ

Q

0 25 50 75 10050

100

150

200

0.5

1.0

Q

Rad

iativ

eou

tput

Q

153,71.9,006.0,1.0/10 PePR

5.0,0,1,1.0 fwP

1P

1P

3

21

2x

xxf

f1P

1P85.0f

)( 0maxQ

0 0.002 0.004 0.006 0.008 0.010

500

1000

1500

2000

P1

Rad

iativ

eou

tput fuel-air mixture

...

... .. Radiative

output

1P

153,71.9,200,1,1.0/00 PeQR

5.0,0,1,1.0 fwP

0 0.25 0.5 0.75 10

500

1000

1500

2000

2500

3000

P1=1

+

10 - 3

P1=5

+

10 - 4

P1=8

+

10 - 4

f l

Rad

iativ

eou

tput

1P

153,71.9,200,1,1.0/00 PeQR

0,1,1.0wP

1

Echigo, R., Yoshizawa, Y., Hanamura,K. and tomimura,T. "Analytical and experimental studies on radiative propagation in porous

media with internal heat generation". Proc., 8th Int. Heat transfer Conf. 1986, 2, 827 832. 2 Tong, T. and Sathe, S. "Heat transfer characteristics of porous radiant burners, Trans". Of ASME, J. Heat Transfer, 1991, 113, 423 428.

3 Sathe,S. and Tong,T. "A numerical analysis of heat transfer and combustion in porous radiant burners", Int. J. Heat Mass Transfer, 1990,

33, 1331-1338. 4

Brenner, G. pickenacker, K. Pickenacker,O. Trimis, D., Wawrzinek, K. and Weber, T. "Numerical and experimental investigation of

matrix stabilized methane/air combustion in porous inert media". Combust. Flame, 2000, 123, 201 213. 5 Talukdar, P., Mishra, S. , Trimis, D. and Durst, F. "Heat transfer characteristics of a porous radiant burner under the influence of a 2 D

radiation field". J. Quantitative spectroscopy&Radiative Transfer, 2003, 1-11. 6 Talukdar, P. and Mishra, Sc. "Analysis of conduction radiation problem in absorbing emitting and anisotropically scattering media using

the collapsed dimension method", Int. J. Heat Mass Transfer, 2002, 45, 2159-2168. 7 Wang, K. Y. and Tien, C.L "Thermal insulation in flow systems : combined radiation and convection through a porous segment". J. Heat

Transfer, 1984, 106, 453 459

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