RADIATIVE MHD NANOFLUID FLOW OVER A VERTICALLY STRETCHING SHEET IN THE PRESENCE OF BUOYANCY FORCES WITH VISCOUS DISSIPATION
D. HYMAVATHI *
Department of Mathematics, Mahatma Gandhi University, Nalgonda, Telangana State, India and Department of Mathematics, Osmania University, Hyderabad, Telangana State, India
KISHAN NAIKOTI
Department of Mathematics, Osmania University, Hyderabad, Telangana State, India
*Author to whom correspondence should be addressed.
Abstract
The purpose of present paper deals with the flow and heat transfer characteristics of magnetohydrodynamic nanofluid flow over a permeable vertical stretching sheet in the presence of the radiation and buoyancy effects with viscous dissipation. A similarity transformation was used to transform the governing partial differential equations to a system of non linear ordinary differential equations. Which are then solved numerical using implicit finite difference scheme namely Keller Box Method. The obtained Keller Box solutions in comparison with the previously published work are performed. Numerical results for the velocity, temperature and nano particle volume fraction profile distribution have been shown graphically for the differentvalues of Magnetic field parameter, suction parameter, Prandtl number, buoyancy parameter, Schmidtnumber, Biotnumber, radiation parameter, Eckertnumber, Brownian motion and Thermophoresis parameter onvelocity, temperature and nano particle volume fractionprofiles.
Keywords: Brownian motion, biotnumber, nanofluid, MHD, implicit finite difference scheme and thermophoresis