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

Author

Listed:
  • 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
    Laboratory of Metrology and Energy Systems, University of Monastir, Monastir 5000, Tunisia)

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.

Suggested Citation

  • Lioua Kolsi & Shafqat Hussain & Kaouther Ghachem & Muhammad Jamal & Chemseddine Maatki, 2022. "Double Diffusive Natural Convection in a Square Cavity Filled with a Porous Media and a Power Law Fluid Separated by a Wavy Interface," Mathematics, MDPI, vol. 10(7), pages 1-18, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1060-:d:779994
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    References listed on IDEAS

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    1. Kefayati, G.H.R., 2016. "Simulation of double diffusive MHD (magnetohydrodynamic) natural convection and entropy generation in an open cavity filled with power-law fluids in the presence of Soret and Dufour effects (part II: ," Energy, Elsevier, vol. 107(C), pages 917-959.
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    Cited by:

    1. Chemseddine Maatki, 2023. "Numerical Analysis of Entropy Generation in a Double Stage Triangular Solar Still Using CNT-Nanofluid under Double-Diffusive Natural Convection," Mathematics, MDPI, vol. 11(13), pages 1-19, June.

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