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# International Journal of Nonlinear Sciences and Numerical Simulation

Editor-in-Chief: Birnir, Björn

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

8 Issues per year

IMPACT FACTOR 2015: 0.687

SCImago Journal Rank (SJR) 2015: 0.298
Source Normalized Impact per Paper (SNIP) 2015: 0.476
Impact per Publication (IPP) 2015: 0.677

Mathematical Citation Quotient (MCQ) 2015: 0.04

Online
ISSN
2191-0294
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### Volume 18, Issue 1 (Feb 2017)

30,00 € / \$42.00 / £23.00

# 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)
/ S. A. Gandjalikhan Nassab
• Mechanical Engineering Department, School of Engineering, Shahid Bahonar University of Kerman, Kerman, Iran (Islamic Republic of)
• :
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

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, December 2016