Abstract
Finite element solution of unsteady magnetohydrodynamics (MHD) flow of an electrically conducting, incompressible viscous fluid past through porous medium between two parallel plates is presented in the presence of a transverse magnetic field and Hall effect. The results obtained from some test cases are then compared with previous published work using the finite difference method (FDM). Numerical examples show that the finite element method (FEM) gives more accurate results in comparison with the finite difference method (FDM).
Highlights
Theoretical study of magnetohydrodynamics (MHD) flow problems are frequently encountered in cooling systems of nuclear reactors, MHD generators, blood flow measurements, pumps, and accelerators.Due to coupling of the equations for electrodynamics and fluid mechanics, exact solution is possible only for some simple situations
Moniem and Hassanin [11] have developed a solution of MHD flow past a vertical porous plate through a porous medium under oscillatory suction
Yuksel and Ingram [14] have investigated the numerical analysis of a finite element method, Crank-Nicolson discretization for MHD flows at small magnetic Reynold number
Summary
Theoretical study of magnetohydrodynamics (MHD) flow problems are frequently encountered in cooling systems of nuclear reactors, MHD generators, blood flow measurements, pumps, and accelerators. Chauhan and Rastogi [9] have studied the Hall effects on MHD slip flow and heat transfer through a porous medium over an accelerated plate in a rotating system. Sa’adAldin and Qatanani [12] have studied the unsteady MHD flow through two parallel porous flat plates. Sivaiah and Srinivasa-Raju [13] have discussed the finite element solution of heat and mass transfer in MHD flow of a viscous fluid past a vertical plate under oscillatory suction velocity. Sa’ad Aldin and Qatanani [16] have studied the analytical and finite difference methods for solving unsteady MHD flow through porous medium between two parallel flat plates. The finite element solution for the unsteady magnetohydrodynamics (MHD) flow of an electrically conducting, incompressible viscous fluid past through porous. It was found that the finite element method (FEM) is more accurate for solving these type of problems
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