This paper presents a numerical investigation for laminar forced convection flow of a radiating gas over an inclined backward facing step in a horizontal duct subjected to bleeding condition. The fluid is treated as a gray, absorbing, emitting, and scattering medium. The two-dimensional Cartesian coordinate system is used to simulate flow over inclined surface by considering the blocked-off region in regular grid. The governing differential equations consisting the momentum and energy are solved numerically by the computational fluid dynamics techniques to obtain the velocity and temperature fields. Discretized forms of these equations are obtained by the finite volume method and solved using the SIMPLE algorithm. Since the gas is considered as a radiating medium, convection, conduction, and radiation heat transfer mechanisms take place simultaneously in the gas flow. For computation of the radiative term in the gas energy equation, the radiative transfer equation is solved numerically by the discrete ordinate method to find the radiative heat flux distribution inside the radiating medium. The effects of bleeding coefficient, inclination angle, optical thickness, albedo coefficient, and the radiation-conduction parameter on the flow and temperature distributions are carried out.

1.
Armaly
,
B. F.
,
Durst
,
F.
,
Pereira
,
J. C. F.
, and
Schnung
,
B.
, 1983, “
Experimental and Theoretical Investigation of Backward-Facing Step Flow
,”
J. Fluid Mech.
0022-1120,
127
, pp.
473
496
.
2.
Armaly
,
B. F.
,
Li
,
A.
, and
Nie
,
J. H.
, 2003, “
Measurements in Three-Dimensional Separated Flow
,”
Int. J. Heat Mass Transfer
0017-9310,
46
(
19
), pp.
3573
3582
.
3.
Erturk
,
E.
, 2008, “
Numerical Solutions of 2-D Steady Incompressible Flow Over a Backward-Facing Step, Part I: High Reynolds Number Solutions
,”
Comput. Fluids
0045-7930,
37
, pp.
633
655
.
4.
,
E.
, 2005, “
Numerical Prediction of Entropy Generation in Separated Flows
,”
Entropy
1099-4300,
7
, pp.
234
252
.
5.
,
E.
, 2006, “
Entropy Generation Due to Heat and Fluid Flow in Backward Facing Step Flow With Various Expansion Ratios
,”
Int. J. Exergy
1742-8297,
3
, pp.
419
435
.
6.
,
E.
, 2008, “
Investigation of Entropy Generation Over a Backward Facing Step Under Bleeding Conditions
,”
Energy Convers. Manage.
0196-8904,
49
, pp.
3237
3242
.
7.
Abu-Mulaweh
,
H. I.
, 2003, “
A Review of Research on Laminar Mixed Convection Flow Over Backward- and Forward-Facing Steps
,”
Int. J. Therm. Sci.
1290-0729,
42
, pp.
897
909
.
8.
Gandjalikhan Nassab
,
S. A.
,
Moosavi
,
R.
, and
Hosseini Sarvari
,
S. M.
, 2009, “
Turbulent Forced Convection Flow Adjacent to Inclined Forward Step in a Duct
,”
Int. J. Therm. Sci.
1290-0729,
48
, pp.
1319
1326
.
9.
Viskanta
,
R.
, 1998, “
Overview of Convection and Radiation in High Temperature
,”
Int. J. Eng. Sci.
0020-7225,
36
, pp.
1677
1699
.
10.
,
F. H.
, and
Modest
,
M. F.
, 1981, “
Combined Radiation and Convection in Absorbing Emitting and Anisotropically Scattering Gas-Particulate Flow
,”
Int. J. Heat Mass Transfer
0017-9310,
24
, pp.
1681
1698
.
11.
Bouali
,
H.
, and
Mezrhab
,
A.
, 2006, “
Combined Radiative and Convective Heat Transfer in a Divided Channel
,”
Int. J. Numer. Math.
,
16
, pp.
84
106
.
12.
Barhaghi
,
D. G.
, and
Davidson
,
L.
, 2009, “
Large-Eddy Simulation of Mixed Convection-Radiation Heat Transfer in a Vertical Channel
,”
Int. J. Heat Mass Transfer
0017-9310,
52
, pp.
3918
3928
.
13.
Modest
,
M. F.
, 2003,
,
,
San Diego, CA
, Chap. 16.
14.
Keshtkar
,
M. M.
, and
Gandjalikhan Nassab
,
S. A.
, 2009, “
Theoretical Analysis of Porous Radiant Burners Under 2-D Radiation Field Using Discrete Ordinates Method
,”
0022-4073,
110
, pp.
1894
1907
.
15.
Patankar
,
S. V.
, and
Spalding
,
D. B.
, 1972, “
A Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows
,”
Int. J. Heat Mass Transfer
0017-9310,
15
, pp.
1787
1806
.
16.
Patankar
,
S. V.
, 1981,
Numerical Heat Transfer and Fluid Flow
,
Taylor & Francis
,
, Chap. 7.
17.
Mahapatra
,
S. K.
,
Dandapat
,
B. K.
, and
Sarkar
,
A.
, 2006, “
Analysis of Combined Conduction and Radiation Heat Transfer in Presence of Participating Medium by the Development of Hybrid Method
,”
0022-4073,
102
, pp.
277
292
.
18.
Byun
,
D. Y.
,
Baek
,
S. W.
, and
Kim
,
M. Y.
, 2003, “
Investigation of Radiative Heat Transfer in Complex Geometries Using Blocked-off, Multi-Block and Embedded Boundary Treatment
,”
Numer. Heat Transfer, Part A
1040-7782,
43
, pp.
807
825
.