Laminar flow in porous channels or tubes has received a great attention in recent years due to its various applications. These applications include blood filtration in artificial kidney, blood flow in capillaries and oxygenations, transpiration, cooling of turbine blades, lubrication of ceramic machine parts, food processing, electronics cooling, gaseous diffusion, the extraction of geothermal energy, and nuclear reactor cooling systems. The present work, proposes the Galerkin method to solve the two dimensional electrically conducting flow in a semiporous channel under uniform magnetic field as governed by dimensionless: Hartman number (Ha), and Reynolds number (Re). The numerical results predict the flow field characteristics over wide ranges of Ha, and Re. These results are compared with other available analytical and numerical results at different values of Ha, and Re. Detailed results are presented and discussed.

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