Large-eddy simulation of a supersonic channel flow between isothermal walls at different temperatures is performed to study radiation effects using a fictitious gray gas model. The simulations are carried out at two different resolutions to ascertain the effects of subgrid scales on radiation. Effects of radiation on the mean temperature, on RMS temperature fluctuations as well as on the turbulence structure are presented. For the moderate optical thickness of the flow considered here, the effects of subgrid scales on the radiative heat transfer are found to be small.

1.
G. N.
Coleman
,
J.
Kim
, and
R. D.
Moser
, “
A numerical study of turbulent supersonic isothermal-wall channel flow
,”
J. Fluid Mech.
305
,
159
183
(
1995
).
2.
H.
Foysi
,
S.
Sarkar
, and
R.
Friedrich
, “
Compressibility effects and turbulence scalings in supersonic channel flow
,”
J. Fluid Mech.
509
,
207
216
(
2004
).
3.
J.
Mathew
,
R.
Lechner
,
H.
Foysi
,
J.
Sesterhenn
, and
R.
Friedrich
, “
An explicit filtering method for large eddy simulation of compressible flows
,”
Phys. Fluids
15
,
2279
2289
(
2003
).
4.
S.
Ghosh
,
J.
Sesterhenn
, and
R.
Friedrich
, “
Large-eddy simulation of supersonic turbulent flow in axisymmetric nozzles and diffusers
,”
Int. J. Heat Fluid Flow
29
,
579
590
(
2008
).
5.
S.
Tamano
and
Y.
Morinishi
, “
Effect of different thermal wall boundary conditions on compressible turbulent channel flow at M = 1.5
,”
J. Fluid Mech.
548
,
361
373
(
2006
).
6.
P. J.
Coelho
, “
Numerical simulation of the interaction between turbulence and radiation in reactive flows
,”
Prog. Energy Combust. Sci.
33
,
311
383
(
2007
).
7.
M. F.
Modest
and
D. C.
Haworth
,
Radiative Heat Transfer in Turbulent Combustion Systems
(
Springer
,
2016
).
8.
A.
Gupta
,
M. F.
Modest
, and
D. C.
Haworth
, “
Large-eddy simulation of turbulence-radiation interactions in a turbulent planar channel flow
,”
J. Heat Transfer
131
,
061704
(
2009
).
9.
J.
Amaya
,
O.
Cabrit
,
D.
Poitou
,
B.
Cuenot
, and
M. E.
Hafi
, “
Unsteady coupling of Navier-Stokes and radiative heat transfer solvers applied to an anisothermal multi-component turbulent channel flow
,”
J. Quant. Spectrosc. Radiat. Transfer
111
,
295
301
(
2010
).
10.
D.
Poitou
,
J.
Amaya
,
B. S.
Chandra
,
J.
David
,
M. E.
Hafi
, and
B.
Cuenot
, “
Validity limits for the global model FS-SNBcK for combustion applications
,” in
Proceedings of Eurotherm83-Computational Thermal Radiation in Participating Media III
,
Lisbon, Portugal
,
2009
.
11.
S.
Ghosh
,
R.
Friedrich
,
M.
Pfitzner
,
C.
Stemmer
,
B.
Cuenot
, and
M.
El-Hafi
, “
Effects of radiative heat transfer on the structure of turbulent supersonic channel flow
,”
J. Fluid Mech.
677
,
417
444
(
2011
).
12.
F.
Liu
,
G. J.
Smallwood
, and
O. L.
Gulder
, “
Application of the statistical narrow-band correlated-k method to low resolution spectral intensity and radiative heat transfer calculations—Effects of the quadrature scheme
,”
Int. J. Heat Mass Transfer
43
,
3119
3135
(
2000
).
13.
Y. F.
Zhang
,
R.
Vicquelin
,
O.
Gicquel
, and
J.
Taine
, “
Physical study of radiation effects on the boundary layer structure in a turbulent channel flow
,”
Int. J. Heat Mass Transfer
61
,
654
666
(
2013
).
14.
A.
Soufiani
and
J.
Taine
, “
High temperature gas radiative property parameters of statistical narrow-band model for H2O, CO2 and CO, and correlated-K model for H2O and CO2
,”
Int. J. Heat Mass Transfer
40
,
987
991
(
1997
).
15.
S.
Ghosh
,
R.
Friedrich
, and
C.
Stemmer
, “
Contrasting turbulence-radiation interaction in supersonic channel and pipe flow
,”
Int. J. Heat Fluid Flow
48
,
24
34
(
2014
).
16.
A.
Ern
and
V.
Giovangigli
, “
Fast and accurate multicomponent transport property evaluation
,”
J. Comput. Phys.
120
,
105
116
(
1995
).
17.
W.
Gardiner
,
Combustion Chemistry
(
Springer
,
New York
,
1984
).
18.
J.
Sesterhenn
, “
A characteristic-type formulation of the Navier-Stokes equations for high order upwind schemes
,”
Comput. Fluids
30
,
37
67
(
2001
).
19.
S.
Lele
, “
Compact finite difference schemes with spectral-like resolution
,”
J. Comput. Phys.
103
,
16
42
(
1992
).
20.
J. K.
Williamson
, “
Low-storage Runge-Kutta schemes
,”
J. Comput. Phys.
35
,
48
56
(
1980
).
21.
M. F.
Modest
,
Radiative Heat Transfer
, 2nd ed. (
Academic Press
,
2003
).
22.
S.
Stolz
,
N. A.
Adams
, and
L.
Kleiser
, “
An approximate deconvolution model for large-eddy simulation with application to incompressible flows
,”
Phys. Fluids
13
,
997
1015
(
2001
).
23.
D.
Joseph
,
M. E.
Hafi
,
R.
Fournier
, and
B.
Cuenot
, “
Comparison of three spatial differencing schemes in discrete ordinates method using three-dimensional unstructured grids
,”
Int. J. Therm. Sci.
44
,
851
864
(
2005
).
24.
J.
Jimenez
and
P.
Moin
, “
The minimal flow unit in near-wall turbulence
,”
J. Fluid Mech.
225
,
213
240
(
1991
).
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