Numerical study on the effect of magnetic field and discrete heating on free convection in a porous container

Document Type : Article


1 Mathematical Modelling and Applied Computation Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

2 Department of Mathematics, Kongunadu Polytechnic College, D. Gudalur, Dindigul, Tamilnadu, India


A study has been executed numerically on buoyancy induced convection current in a porous container of square shape with the existence of a uniform magnetic flux. The vertical wall situated at the left side is heated with two discrete heaters and the constant temperature is maintained in the right side. There is no thermal transfer in the horizontal walls. This study involves Brinkman Forchheimer-Darcy extended model. The non-dimensional leading equations are evaluated by the finite volume method. The consequences are examined for different values of the porosity, direction of the magnetic flux, Hartmann number, Rayleigh number and Darcy number. The results interpret that the Hartmann number and the average thermal energy transport are disproportionate to each other. Also the averaged heat transfer and the Darcy number are proportionate to each other.


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