A COMBINATION OF PSEUDO-SPECTRAL METHOD AND EXTRAPOLATION FOR SOLVING MHD FLOW AND HEAT TRANSFER ABOUT A ROTATING DISK

Message:
Abstract:
The objective of this study is to implement a numerical method which is a combination of pseudo-spectral collocation method with a positive scaling factor and extrapolation for solving steady, laminar, incompressible, viscous and electrically conducting fluid of the boundary layer flow due to a constant temperature rotating disk subjected to a uniform suction and injection through its surface in the presence of a uniform transverse magnetic field. These equations are obtained from the Navier Stokes equations through the similarity transformations introduced by Von Karman in 1921. The proposed solution is equipped by the Chebyshev polynomials that have perfect properties to achieve this goal. This method solves the problem on the semi infinite domain without truncating it to a finite domain. In addition, the presented method reduces solution of the problem to solution of a system of algebraic equations. The obtained numerical solutions are verified by the previous results in the literature.
Keywords:

Navier stokes equations , MHD flow , rotating disk , suction , injection , Chebyshev polynomials , pseudo , spectral method , extrapolation , scaling factor

Language:
English
Published:
Iranian Journal of Science and Technology Transactions of Mechanical Engineering, Volume:38 Issue: 1, 2014
Pages:
25 to 44
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