Transient magneto-convection of water near its maximum density in a cavity with various sink-source arrangements and heat generation

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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