The objective of the present work is to develop a numerical study of the phenomenon of natural convection in a cylinder filled with a porous medium with variable porosity heated from below, the model considered is that of Darcy corrected by Brinkman to take into account the effects of viscous constraints, the variation of the porosity follows an empirical exponential law, the adimensionalization of the equations reveals the adimensional numbers governing the system, the study focused on the effect of these numbers on the contours of the current function and on the lines of the isotherms, the effect on the heat transfer is demonstrated by the global Nusselt number, while considering constant and variable porosity.

The established numerical code can be used in various industrial processes involving the phenomenon of natural convection.

natural convection, porous media, variable porosity, cylindrical cavity.

Received: May 20, 2021; Accepted: July 14, 2021; Published: September 24, 2021

How to cite this article: Abdellah Elbouzidi, Abdelkrim Moufakkir and Kamal Gueraoui, Effect of porosity on natural convection in a non-Darcian Porous medium, JP Journal of Heat and Mass Transfer 24(1) (2021), 19-27. DOI: 10.17654/HM024010019

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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