DTM-PADE APPROACH TO MHD SLIP FLOW AND HEAT TRANSFER OVER A RADIALLY STRETCHING SHEET WITH THERMAL RADIATION

  • Shoeb Rashid Sayyed, Mr.
  • Brijbhan Singh, Dr. Department of Mathematics, Dr. Babasaheb Ambedkar Technological University, Lonere
  • Oluwole Makinde
  • Nasreen Bano Muslim Shaikh Dr. Babasaheb Ambedkar Technological University, Lonere
Keywords: DTM method, MHD flow, Heat transfer, Velocity slip, Thermal slip, Thermal Radiation.

Abstract

The present paper deals with the boundary layer flow and heat transfer of an electrically conducting magnetohydrodynamic viscous fluid over a radially stretching power-law sheet with suction/injection within a porous medium by considering the effects of momentum and thermal slips and thermal radiation. The governing non-linear partial boundary layer differential equations are reduced to a  system of coupled non-linear ordinary differential equations (ODEs) with the aid of appropriate similarity transformations. These transformed ODEs are then solved by employing a semi-analytic technique known as differential transformation method (DTM) in combination with Pade approximation. The numerical values of skin friction and local Nusselt number are tabulated and validated by comparing them with the corresponding values available in the literature. Our results have been found in precise agreement  with the results published earlier. The effects of different governing parameters on velocity and temperature distributions are analyzed graphically. It has been found that with an increase in the velocity slip parameter the fluid velocity decreases whereas the temperature of the fluid increases. Also, the fluid temperature gets enhanced with an increase in the radiation parameter, but it decreases with an increase in thermal slip.

Published
2020-03-04
Section
Heat and Mass Transfer