Abstract

AbstractNatural convective heat transfer occurs when there is a temperature difference between the surface and the surrounding fluid. These physical problems often occur in real -life applications involving porous mediums such as microprocessor cooling in computers, underground oil and gas movement, food processing and more. The theory of convective heat transfer in a porous medium is a complex phenomenon that relies on interconnected partial differential equations that have no analytical solution except for simplified problems, resulting in numerical solutions having to be used. The standard finite difference method (FDM) is a popular method because of its straightforward mathematical formulation and programming. But FDM requires many grid points to get a precise and meaningful answer. This causes the program to take a long time to converge which also affects the storage and memory of the computer. This chapter examines the effectiveness of non -standard finite difference method (NSFDM) in solving MHD convection problem in rectangular porous medium.KeywordsNonstandard finite difference methodConvection heat transferPorous mediumMagnetohydrodynamics

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