EFFECT OF THERMAL RADIATION ON NATURAL CONVECTION IN A SQUARE POROUS CAVITY FILLED WITH A FLUID OF TEMPERATURE-DEPENDENT VISCOSITY

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Mikhail A. SHEREMET Marina S. ASTANINA Jawali C. UMAVATHI

Abstract

A numerical study of the natural convection combined with thermal  radiation inside a square porous cavity filled with a fluid of temperature- dependent viscosity is carried out. The side horizontal walls are assumed to be adiabatic while both the left and right vertical walls are kept at constant but different temperatures. The Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. The governing equations formulated in dimensionless stream function, vorticity and temperature variables are solved using finite difference method. A parametric  analysis  illustrating  the  effects  of  the  radiation  parameter   (0 ≤ Rd ≤ 10),   Darcy   number   (10–5 ≤ Da ≤ 10–2)   and   viscosity variation parameter  (0 ≤ C ≤ 6) on fluid flow and heat  transfer  is  implemented. The results show an essential intensification of convective flow with an increase in the radiation parameter.

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How to Cite
SHEREMET, Mikhail A.; ASTANINA, Marina S.; UMAVATHI, Jawali C.. EFFECT OF THERMAL RADIATION ON NATURAL CONVECTION IN A SQUARE POROUS CAVITY FILLED WITH A FLUID OF TEMPERATURE-DEPENDENT VISCOSITY. Thermal Science, [S.l.], mar. 2017. ISSN 2334-7163. Available at: <http://thermal-science.tech/journal/index.php/thsci/article/view/2190>. Date accessed: 18 nov. 2017. doi: https://doi.org/10.2298/TSCI150722164A.
Section
Articles
Received 2017-03-03
Accepted 2017-03-13
Published 2017-03-13

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