Double Diffusive Natural Convection in a Square Cavity Filled with a Porous Media and a Power Law Fluid Separated by a Wavy Interface

Lioua Kolsi, Shafqat Hussain, Kaouther Ghachem, Muhammad Jamal and Chemseddine Maatki
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Lioua Kolsi: Mechanical Engineering Department, College of Engineering, University of Ha’il, Ha’il 81451, Saudi Arabia
Shafqat Hussain: Department of Mathematics, Capital University of Science and Technology, Islamabad 44000, Pakistan
Kaouther Ghachem: Department of Industrial Engineering and Systems, College of Engineering, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia
Muhammad Jamal: Department of Mathematics & Statistics, PMAS-Arid Agriculture University, Rawalpindi 46300, Pakistan
Chemseddine Maatki: Department of Mechanical Engineering, College of Engineering, Imam Mohammad Ibn Saud Islamic University, Riyadh 11432, Saudi Arabia

Mathematics, 2022, vol. 10, issue 7, 1-18

Abstract: This study deals with the influence of a wavy interface separating two layers filled with power law fluid and porous media, respectively. The governing equations are solved using the Finite Element Method (FEM) and the numerical model is validated by comparing with experimental findings. The parameters governing the studied configuration are varied as: Rayleigh number (10 3 ≤ Ra ≤ 10 6 ), power law index (0.6 ≤ n ≤ 1.4), Darcy number (10 −2 ≤ Da ≤ 10 −6 ), buoyancy ratio (0.1 ≤ N ≤ 10) and Lewis number (1 ≤ Le ≤ 10). It is inferred that the temperature gradient increases by augmenting the Rayleigh number, as the flow is observed from the vertical to horizontal direction in both layers. Constant enhancement in the heat and mass transfer is also observed by enriching the buoyancy effect. Moreover, the average Nusselt and Sherwood numbers decline by increasing the width of the porous layer.

Keywords: non-Newtonian fluid; layers; double diffusive; natural convection; FEM (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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