SLIP FLOW AND HEAT TRANSFER OF MHD POWER LAW FLUID OVER A POROUS SHEET IN THE PRESENCE OF JOULE HEATING AND HEAT SOURCE/SINK

By

Sushila Choudhary and Bhagawan Singh Yadav

Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India

Email: sumathru11@gmail.com, bhagawansingh4030@gmail.com

(Received : October 08, 2020 ; Revised: December 11, 2020)

DOI: https://doi.org/10.58250/jnanabha.2020.50230

 An analysis has been carried out to study the MHD flow and heat transfer of a non-Newtonian power-law fluid over a porous sheet in the presence of partial slip and Joule heating. Here, thermal conductivity is assumed as a function of temperature. An external heat source is also applied. The governing equations are reduced into the system of non-linear ordinary differential equations by using similarity transformations. This system along with appropriate boundary conditions are solved numerically using the shooting technique with Runge-Kutta fourth order iteration scheme. The effects of suction/injection parameter, Eckert number and heat source parameter on the velocity and temperature profiles are studied. It is observed that the temperature profile increases with decreasing value of heat source parameter, Eckert number and suction/injection parameter. The influence of different parameters on the velocity and temperature profile is presented through graphs. The effect of all physical parameters on skin friction and local Nusselt number is displayed through tables.

2010 Mathematics Subject Classifications: 76A05, 76S05, 76W05, 65L06.

Keywords and phrases: Power law fluid, joule heating effects, MHD, porous sheet, porous medium, partial slip, heat source/sink, thermal radiation.

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