Analytical method for solving steady MHD convective and slip flow due to a rotating disk with viscous dissipation and Ohmic heating
Abstract
Purpose
The purpose of this paper is to consider the thermal‐diffusion and diffusion‐thermo effects on combined heat and mass transfer of a steady magnetohydrodynamic (MHD) convective and slip flow due to a rotating disk with viscous dissipation and Ohmic heating. The main goal of the present study is to find the approximate analytic solutions by the combination of the DTM and the Padé approximants for this problem.
Design/methodology/approach
A new method, namely the DTM‐Padé technique, which is a combination of the differential transform method and the Padé approximation, is employed.
Findings
Graphical results for fluids of medium molecular weight (H2, air) are presented to investigate influence of the slip parameter, magnetic field parameter M, Eckert Ec, Schmidt Ec, Dufour Du and Soret Sr numbers on the profiles of the dimensionless velocity, temperature and concentration distributions. In order to show the effectiveness of the DTM‐Padé, the results obtained from the DTM‐Padé are compared with available solutions obtained using shooting method to generate the numerical solution.
Originality/value
This technique (DTM‐Padé) is extended to give solutions for nonlinear differential equations with boundary conditions at the infinity.
Keywords
Citation
Rashidi, M.M. and Erfani, E. (2012), "Analytical method for solving steady MHD convective and slip flow due to a rotating disk with viscous dissipation and Ohmic heating", Engineering Computations, Vol. 29 No. 6, pp. 562-579. https://doi.org/10.1108/02644401211246283
Publisher
:Emerald Group Publishing Limited
Copyright © 2012, Emerald Group Publishing Limited