Analytical and Numerical Solutions of Magnetohydrodynamic Flow Problems

nqatanani's picture
Type: 
Thesis
Year: 
2013
Students: 
Abdel Latif Khaleel Sa’ad Aldin
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Analytical and Numerical Solutions of Magnetohydrodynamic Flow Problems741.81 KB
Abstract: 

The MagnetoHydreoDynamic flow ( MHD ) is one of the most important topics in mathematical physics due to its wide range of applications . In this work we present some analytical and numerical solutions for some MHD problems . The MHD flow past an impulsively started infinite horizontal plate in a rotating system and unsteady MHD flow through two parallel porous flat plates are considered. In this work an exact analytical solution for these problems based on Laplace transform method has been constructed and analyzed. This involves transforming the coupled partial differential equations into a single equation. For the numerical treatment of these problems we use the finite difference scheme and then implementing a computer software “ MAPLE 15“ to obtain some numerical results.