Effects of Heat Sink and Heat Absorption on Casson Fluid Flow in a Vertical Channel
DOI:
https://doi.org/10.62054/ijdm/0302.03Samenvatting
This study examines the effects of heat sink and heat absorption on Casson fluid flow in a vertical channel. The flow is governed by partial differential equations (PDEs). Using suitable dimensionless variables, these PDEs were transformed into non-dimensional form. The implicit finite difference method (IFDM) was employed to obtain approximate solutions for the velocity, temperature, and concentration distributions of the fluid. The effects of physical parameters associated with the fluid flow, such as magnetohydrodynamics, thermal radiation, chemical reaction, heat generation, and permeability of the porous medium, on unsteady free convective heat and mass transfer over a vertical porous plate were investigated. Key parameters such as the Hartmann number, Darcy number, and thermal Grashof number are essential for applications in geothermal systems and chemical processing. Numerical solutions of the governing equations reveal that a higher Hartmann number decreases fluid velocity due to the Lorentz force, whereas an increased Darcy number enhances velocity due to greater permeability. Additionally, thermal radiation and heat sources raise temperature profiles, while buoyancy forces increase velocity distributions. The effects of suction on the boundary layer thickness are also analyzed, and a higher chemical reaction parameter reduces concentration. The study concludes that suction improves heat and mass transfer rates, while stronger magnetic fields may elevate wall shear stress, offering insights for optimizing industrial processes involving electrically conducting fluids in porous media under magnetic influence.
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