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ORIGINAL PAPER
Transient magneto-convection of water near its maximum density in a cavity with various sink-source arrangements and heat generation
1
Department of Mathematics, PSG College of Technology, India
2
Department of Mathematics, King Abdulaziz University, Saudi Arabia
3
Department of Mathematical Modeling, Samarkand State University, Uzbekistan
These authors had equal contribution to this work
Submission date: 2025-02-23
Final revision date: 2025-04-20
Acceptance date: 2025-09-10
Online publication date: 2025-12-05
Publication date: 2025-12-05
Corresponding author
K. K. Viswanathan
Department of Mathematical Modeling, Samarkand State University, 15 Universiti Boulevard, 140104, Samarkand, Uzbekistan
Department of Mathematical Modeling, Samarkand State University, 15 Universiti Boulevard, 140104, Samarkand, Uzbekistan
International Journal of Applied Mechanics and Engineering 2025;30(4):18-37
KEYWORDS
TOPICS
ABSTRACT
This study emphasizes the transient and steady state analysis on magneto-convection of cold water driven by buoyant force in a chamber with partial heating and cooling combined with internal heat absorption/generation. The considered cavity is of square geometry bounded with different locations of source-sink pairs along its left and right sides. The analysis is confined by placing the source-sink pairs to five different locations traversing in the vertical direction along the boundary. The discretization is implemented using a finite volume approach. QUICK scheme and central difference schemes are utilized to resolve the convective and diffusive terms respectively. The SIMPLE algorithm is implemented to ensure the relation of pressure-velocity term. Gauss-Seidel iterative process is applied to find the unknowns from the resulting set of equations. Out of the five cases analyzed, Case 5 (TB) demonstrated a higher transfer rate, while Case 4 (BT) exhibited a lower heat transmission rate in the presence of heat generation or absorption. When heat generation/absorption was absent, Case 2 (MM) showed an improved heat transfer rate. The findings can be applied in industries such as electronic cooling devices, solar collectors, and thermal energy storage systems.
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