Analytical method for solving steady MHD convective and slip flow due to a rotating disk with viscous dissipation and Ohmic heating
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 Pade approximants for this problem. Design/methodology/approach - A new method, namely the DTM-Pade technique, which is a combination of the differential transform method and the Pade 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-Pade, the results obtained from the DTM-Pade are compared with available solutions obtained using shooting method to generate the numerical solution. Originality/value - This technique (DTM-Pade) is extended to give solutions for nonlinear differential equations with boundary conditions at the infinity.
convection flow thermal-diffusion pade approximants differential transform method heat transfer boundary layers soret effect