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

10.22099/ijstm.2014.1924

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