Show Summary Details
More options …

# International Journal of Nonlinear Sciences and Numerical Simulation

Editor-in-Chief: Birnir, Björn

Editorial Board: Armbruster, Dieter / Bessaih, Hakima / Chou, Tom / Grauer, Rainer / Marzocchella, Antonio / Rangarajan, Govindan / Trivisa, Konstantina / Weikard, Rudi

8 Issues per year

IMPACT FACTOR 2016: 0.890

CiteScore 2016: 0.84

SCImago Journal Rank (SJR) 2016: 0.251
Source Normalized Impact per Paper (SNIP) 2016: 0.624

Mathematical Citation Quotient (MCQ) 2016: 0.07

Online
ISSN
2191-0294
See all formats and pricing
More options …

# Conjugate Heat Transfer Study of Combined Radiation and Forced Convection Turbulent Separated Flow

M. Foruzan Nia
• Mechanical Engineering Department, School of Engineering, Shahid Bahonar University of Kerman, Kerman, Iran (Islamic Republic of)
• Other articles by this author:
/ S. A. Gandjalikhan Nassab
• Corresponding author
• Mechanical Engineering Department, School of Engineering, Shahid Bahonar University of Kerman, Kerman, Iran (Islamic Republic of)
• Email
• Other articles by this author:
Published Online: 2016-12-17 | DOI: https://doi.org/10.1515/ijnsns-2015-0134

## Abstract

In the current study, a numerical investigation of two-dimensional combined convection-radiation heat transfer of turbulent gas flow over a backward-facing step (BFS) in a horizontal rectangular duct is presented. The computational domain contains two different parts including gas flow and solid element that makes the problem as a conjugate one. The gas phase is considered to be a radiating media that can absorb, emit and scatter thermal radiation, where in solid phase, heat transfer takes place by conduction. The set of governing equations for gas flow is solved numerically using the CFD technique and the $k-\mathrm{\epsilon }$ model is employed for computation of turbulence fluctuations. To evaluate the radiative term in the gas energy equation, the radiative transfer equation (RTE) is solved by the discrete ordinates method (DOM). Inside the solid phase, the conduction equation is solved to obtain the temperature distribution. The effects of conduction ratio, optical thickness, radiation-conduction parameter and albedo coefficient on heat transfer behavior of the system are carried out.

Keywords: turbulent; convection flow; conjugate; radiation; DOM

MSC 2010: 65Zxx

## References

• [1] E. W. Adams and J. P. Johnston, Effects of the separating shear layer on the reattachment flow structure part 2: Reattachment length and wall shear stress, Exp. Fluids 6(7) (1988), 493–499.

• [2] M. V. Ötügen, Expansion ratio effects on the separated shear layer and reattachment downstream of a backward-facing step, Exp. Fluids 10(5) (1991), 273–280.Google Scholar

• [3] S. Thangam and G. Speziale Charles, Turbulent separated flow past a backward-facing step: a critical evaluation of two-equation turbulence models. No. ICASE-91-23. Institute for Computer Applications in Science and Engineering Hampton VA, 1991.

• [4] S. A. Gandjalikhan Nassab, R. Moosavi and S. M. Hosseini Sarvari, Turbulent forced convection flow adjacent to inclined forward step in a duct, Int. J. Therm. Sci. 48(7) (2009), 1319–1326.Google Scholar

• [5] H. Bouali and A. Mezrhab, Combined radiative and convective heat transfer in a divided channel, Int. J. Numer. Math. 16 (2006), 84–106.Google Scholar

• [6] F. H. Azad and M. F. Modest, Combined radiation and convection in absorbing emitting and anisotropically scattering gas-particulate flow, Int. J. Heat Transfer 24 (1981), 1681–1698.Google Scholar

• [7] A. B. Ansari and S. A. Gandjalikhan Nassab, Thermal characteristics of convective flows encountered in a 2-D backward facing step under the effect of radiative heat transfer, Int. Rev. Mech. Eng. 4(6) (2010), 711–718.Google Scholar

• [8] M. Vynnycky, et al. Forced convection heat transfer from a flat plate: the conjugate problem, Int. J. Heat Mass Transfer 41(1) (1998), 45–59.Google Scholar

• [9] H. C. Chiu, J. H. Jang and W. M. Yan, Mixed convection heat transfer in horizontal rectangular ducts with radiation effects, Int. J. Heat Mass Transfer 50 (2007), 2874–2882.Google Scholar

• [10] H. C. Chiu and W. M. Yan, Mixed convection heat transfer in inclined rectangular ducts with radiation effects, Int. J. Heat Mass Transfer 51 (2008), 1085–1094.Google Scholar

• [11] C. G. Rao, C. Balaji and S. P. Venkateshan, Effect of surface radiation on conjugate mixed convection in a vertical channel with a discrete heat source in each wall, Int. J. Heat Mass Transfer 45(16) (2002), 3331–3347.Google Scholar

• [12] Gh. Juncu, Conjugate heat/mass transfer from a circular cylinder with an internal heat/mass source in laminar crossflow at low Reynolds numbers, Int. J. Heat Mass Transfer 48(2) (2005), 419–424.Google Scholar

• [13] Gh. Juncu, Unsteady heat transfer from an elliptic cylinder, Int. J. Heat Mass Transfer 51(3) (2008), 920–928.Google Scholar

• [14] R. N. Mathews, C. Balaji and T. Sundararajan, Computation of conjugate heat transfer in the turbulent mixed convection regime in a vertical channel with multiple heat sources, Heat Mass Transfer 43 (2007), 1063–1074.Google Scholar

• [15] P. R. Kanna and M. K. Das, Conjugate heat transfer study of backward-facing step flow–a benchmark problem, Int. J. Heat Mass Transfer 49(21) (2006), 3929–3941.Google Scholar

• [16] B. F. Armaly, A. Li and J. H. Nie, Measurements in three-dimensional laminar separated flow, Int. J. Heat Mass Transfer 46 (2003), 3573–3582.

• [17] M. M. Keshtkar and S. A. Gandjalikhan Nassab, Theoretical analysis of porous radiant burners under 2-D radiation field using discrete ordinates method, J. Quant. Spectrosc. Radiat. Transfer 110 (2009), 1894–1907.Google Scholar

• [18] J. F. Beaudoin, O. Cadot, J. L. Aider and J. E. Wesfreid, Three-dimensional stationary flow over a backward-facing step, Eur. J. Mech. B. Fluids 23 (2004), 147–155.Google Scholar

• [19] A. B. Ansari and S. A. Gandjalikhan Nassab, Study of laminar forced convection of radiating gas over an inclined backward facing step under bleeding condition using the blocked-off method, ASME J. Heat Transfer 133(7) (2011), 072702.Google Scholar

• [20] S. V. Patankar and D. B. Spalding, A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows, Int. J. Heat Mass Transfer 15(10) 1972, 1787–1806.Google Scholar

• [21] E. Abu-Nada, Entropy generation due to heat and fluid flow in backward facing step flow with various expansion ratios, Int. J. Exergy 3(4) (2006), 419–435.Google Scholar

• [22] M. Atashafrooz and S. A. Gandjalikhan Nassab, Numerical analysis of laminar forced convection recess flow with two inclined steps considering gas radiation effect, Comput. Fluids 66 (2012), 167–176.

• [23] J. K. Eaton and J. P. Johnston, Combined heat transfer and fluid dynamic measurements downstream of a backward-facing step, J. Heat Transfer 107(4) (1985), 922–929.Google Scholar

Accepted: 2016-10-31

Published Online: 2016-12-17

Published in Print: 2017-02-01

Citation Information: International Journal of Nonlinear Sciences and Numerical Simulation, Volume 18, Issue 1, Pages 29–39, ISSN (Online) 2191-0294, ISSN (Print) 1565-1339,

Export Citation