Jñānābha‎, Vol. 49 (2) (2019), 94-104

SLIP EFFECT ON MHD STAGNATION POINT FLOW AND HEAT TRANSFER OF CROSS FLUID WITH HEAT GENERATION IN A POROUS MEDIUM

By

Navin Kumar, R. N. Jat and Sushila Choudhary

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

Email:yadavnavin35@gmail.com, jat.ramniwas@gmail.com, sushilachoudhary1111@gmail.com

(Received : November 03, 2019 ; Revised: November 07, 2019)


Abstract

Aim of this paper is to investigate the slip effect on magnetohydrodynamics (MHD) stagnation point flow and heat transfer of cross fuid model with heat generation in presence of porous medium. A cross fluid is a type of generalised Newtonian fluid whose viscosity depends upon shear rate according to equation (2.2). The governing nonlinear partial differential equations are transformed into ordinary differential equations along with boundary conditions by suitable similarity transformations and then reduced to a system of .first order ordinary differential equations. Runge-kutta fourth order method with shooting technique is used to solve the system of .first order differential equations. The effect of various physical parameters e.g. magnetic parameter, ratio parameter, Prandtl number, Weissenberg number, permeability parameter, heat source/sink parameter on velocity, temperature, skin friction and Nusselt number are presented through graphs, table and discussed numerically.


2010 Mathematics Subject Classification76D05, 76D10, 76E25, 76S05, 76W05, 80A20.
Keywords and phrasesHeat transfer, MHD, Stagnation point flow, Cross fluid model, Slip condition, Heat generation, porous medium.