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International Journal of Engineering, Science and Mathematics
Year : 2023, Volume : 12, Issue : 8
First page : ( 1) Last page : ( 14)
Online ISSN : 2320-0294.

Numerical study of convective heat transfer through a porous medium in a vertical channel with heat generating source

Prasad Venu K.K1, Prof. Shivashankara K.2, Prakasha P3, Dhananjaiah D S4

1Dept of Mathematics, Government First Grade CollegeK R Pet, Mandya, Karnataka

2Dept of Mathematics, Yuvaraja’s College University of Mysore, Karnataka

3Dept of Mathematics, Government College for Women, Maddur, Mandya, Karnataka

4Dept of Mathematics, Government First Grade CollegeK R Nagar, Mysuru, Karnataka

Online published on 29 September, 2023.

Abstract

In this study, the effect of radiation on the Non-Darcy convection heat transfer flow of a viscous electrically conducting fluid through a porous medium confined in a vertical channel investigated by taking into account both heat generating source and Radiation effect in the presence of heat sources. The non-linear, coupled equations governing the flow and heat transfer have been solved by employing a perturbation technique with δ the porous parameter as perturbation parameter. The velocity and temperature dissipation are analysed for different values of G,D-1, α, and M .From the analysis, new expressions for Nusselt number and Shear Stress on the walls are numerically evaluated for different sets of parameters.

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Keywords

Convective Heat transfer, CFD, Porous medium, Vertical Channel, Radiation effect.

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