Numerical investigation of entropy generation and Magnetohydronamic natural convection in a porous square cavity with four embedded cylinders
D. Charreh,
Shams-ul Islam,
Shaiza Talib,
M. Saleem,
Munawwar Ali Abbas,
Shafee Ahmad
Affiliations
D. Charreh
Department of Mathematics, COMSATS University Islamabad, Islamabad Campus Park Road, Tarlai Kalan, Islamabad, 45550, Pakistan; Department of Mathematics, University of The Gambia, P.O. Box 3530, Serrekunda, The Gambia; Corresponding author. Department of Mathematics, COMSATS University Islamabad, Islamabad Campus Park Road, Tarlai Kalan, Islamabad, 45550, Pakistan.
Shams-ul Islam
Department of Mathematics, COMSATS University Islamabad, Islamabad Campus Park Road, Tarlai Kalan, Islamabad, 45550, Pakistan
Shaiza Talib
Department of Mathematics, COMSATS University Islamabad, Islamabad Campus Park Road, Tarlai Kalan, Islamabad, 45550, Pakistan
M. Saleem
Department of Science and Humanities, Sir Syed, CASE Institute of Technology, Islamabad, 44000, Pakistan
Munawwar Ali Abbas
Department of Mathematics, University of Baltistan, Skardu, Pakistan
Shafee Ahmad
Department of Energy and Power Engineering, Jiangsu University, Zhenjiang, 212013, China
In this study, we investigated buoyancy-induced convection in a permeable square hollow containing four embedded cylinders and subjected to a magnetic field using numerical methods. The finite element approach was used to solve the governing equations of the system as well as the initial and boundary conditions. We analyzed the effects of the emerging non-dimensional quantities on the flow pattern and thermal field, as well as entropy production, in relation to the thermophysical properties of the obstacles. In the limiting case, we compared our results with already published work and found outstanding concurrence. Our simulations revealed that increasing cylinder spacing leads to higher thermal entropy generation, while fluid friction irreversibility has the opposite effect. Additionally, the imposed magnetic field significantly suppressed temperature distribution and flow field, resulting in low thermal transmission within the cavity.
