MHD Free Convection Boundary Layer Flow of a Nanofluid over a Permeable Shrinking Sheet in the Presence of Thermal Radiation and Chemical Reaction

Abstract

The objective of this work is to analyze the chemical reaction and thermal radiation effects on MHD free convection boundary layer low of a nanofluid over a permeable shrinking sheet. The model used for the nanofluid incorporates with Brownian and thermophoresis effects. A mathematical formulation has designed for momentum, temperature and nanofluid solid volume profiles. The highly nonlinear coupled partial differential equations are simplified with the help of suitable similarity transformations. The reduced partial differential equations are solved using the Method of line. The entire computation procedure is implemented using a program written and carried out using Mathematica computer language. The results for the dimensionless velocity, temperature, and nanofluid solid volume profiles are discussed with the help of graphs and tables. We have examined the effects of various controlling flow parameters namely unsteadiness parameter A, magnetic parameter M, thermal radiation parameter R, Prandtl number Pr, Brownian motion parameter Nb, thermophoresis parameter Nt, Radiation parameter Nr and Lewis number Le on the dimensionless velocity, temperature and nanoparticle volume fraction profiles..

Keywords: Nanofluid, Magentohydrodynamics (MHD), permeable shrinking sheet, chemical reaction, heat source, Thermal Radiation.