Jñānābha‎, Vol. 50 (1) (2020), 279-290

NUMERICAL SOLUTION OF MAGNETOHYDRODYNAMIC (MHD) RADIATIVE BOUNDARY LAYER FLOW AND HEAT TRANSFER ALONG A WEDGE IN THE PRESENCE OF SUCTION/INJECTION

By

Kuldeep S Rathore* and Mamta Goyal
Department of Mathematics
University of Rajasthan, Jaipur-302004, India
Email:*rathorekuldeep384@gmail.com and mamtagoyal1245@gmail.com
(Received : May 13, 2020 ; Revised: June 27, 2020)


Abstract

An approximate numerical solution for the two dimensional laminar MHD radiative boundary layer flow along a wall of wedge with appropriate suction and injection in the presence of viscous dissipation and porous medium is considered in the present article. The fluid is considered to be viscous and incompressible. By applying appropriate similarity transformation, the governing flow equations have been transformed into corresponding higher order ordinary differential equations. The flow model is shown to be controlled by a number of flow parameters, viz. the radiation parameter, magnetic parameter, the permeability parameter, Prandtl number, Eckert number, the Hartree pressure gradient parameter and suction-injection parameter. The system of governing differential equations is solved numerically by shooting method and numerical calculations are carried out for different values of above mentioned dimensionless parameters. An analysis of the drawn results predicts that the velocity boundary layer and thermal boundary layer are influenced appreciably by the suction-injection, radiation and viscous dissipation at the wall of wedge.

2010 Mathematics Subject Classifications: 76D10, 76E25, 76S05, 76W05, 80A20.
Keywords and phrases: MHD, Boundary layer, Heat transfer, Suction-Injection, radiation, porous media.