Impact of Joule Heating and Hydro-Magnetic Effects on Mixed Convection in Porous Cavity Using Lattice Boltzmann Method

  • C. Venkata Lakshmi Department of Applied Mathematics, Sri Padmavati Mahila Visvavidyalayam, Tirupati, Andhra Pradesh, India https://orcid.org/0000-0003-2921-8129
  • Anuradha Aravapalli Department of Applied Mathematics, Sri Padmavati Mahila Visvavidyalayam, Tirupati, Andhra Pradesh, India https://orcid.org/0009-0003-5137-8804
  • K. Venkatadri Department of Mathematics, Mohan Babu University (Erstwhile Sree Vidyanikethan Eng. Coll.), Tirupati Andhra Pradesh, India https://orcid.org/0000-0001-9248-6180
  • O. Anwar Bég Multi-Physical Engineering Sciences Group, Aeronautical/Mechanical Engineering, Salford University, Corrosion Lab, Manchester, M54WT, UK https://orcid.org/0000-0003-0614-8711
  • V. Ramachandra Prasad Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India https://orcid.org/0000-0002-9168-3825
DOI: https://doi.org/10.26565/2312-4334-2025-2-47
Keywords: Lattice Boltzmann method (LBM), Lid-driven Cavity, Mixed convection, Magnetohydrodynamics, Joule heating, Porous medium

Abstract

In the current paper, a comprehensive examination is carried out to investigate heat transmission under the influence of several factors that include magnetic field, moving lid, porous medium, and joule heating within a lid-driven cavity (LDC). The cavity features a moving lid, vertical walls with thermally insulated boundaries, and horizontal walls kept at uniform temperatures Th (bottom) and Tc (top). The objective of the study is to analyze mixed convective heat transfer behavior of the system using contour plots to visualize the flow and thermal pattern under the various considered parameters: Richardson numbers (0.01 ≤ Ri ≤ 10), and Joule heating parameters (0 ≤ J ≤ 10⁻⁵), Hartmann numbers (0 ≤ Ha ≤ 30), and Darcy numbers (0.001 ≤ Da ≤ 0.1). The lattice Boltzmann method (LBM) is applied to employ the governing transport equations. The Joule heating effects are critical in systems where internal heat generation must be controlled, such as in electrical systems or battery cooling, where resistive heating may either aid or hinder the desired thermal dynamics.

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Published
2025-06-09
Cited
How to Cite
Lakshmi, C. V., Aravapalli, A., Venkatadri, K., Bég, O. A., & Prasad, V. R. (2025). Impact of Joule Heating and Hydro-Magnetic Effects on Mixed Convection in Porous Cavity Using Lattice Boltzmann Method. East European Journal of Physics, (2), 383-397. https://doi.org/10.26565/2312-4334-2025-2-47
Issue
No. 2 (2025): East European Journal of Physics
Section
Original Papers

Copyright (c) 2025 C. Venkata Lakshmi, Anuradha Aravapalli, K. Venkatadri, O. Anwar Bég, V. Ramachandra Prasad

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