Lie Group Transformation on MHD Double-Diffusion Convection of a Casson Nanofluid over a Vertical Stretching/Shrinking Surface with Thermal Radiation and Chemical Reaction

摘要

AbstractThis paper is concern with the study of steady magnetohydrodynamic radiative dissipative boundary layer flow of a reactive Casson nanofluid over a permeable vertical nonlinear stretching/shrinking surface. We have incorporated the combined effects of viscous and Ohmic dissipation, thermophoresis and Brownian motion on heat and mass transfer in Casson nanofluid in the presence of chemical reaction. The governing equations are reduced to a system of nonlinear ordinary differential equations with associated boundary conditions using scaling group transformations. The reduced nonlinear ordinary differential equations are then solved numerically by Runge–Kutta–Fehlberg fifth-order method with shooting technique. The effects of magnetic field, suction/injection parameter, Prandtl number, Eckert number, Brownian motion parameter, thermophoresis parameter and Lewis number on local Nusselt number and local Sherwood number are analyzed. The results show that the physical parameters have significant influence on the flow velocity, surface shear stress, local Nusselt number and local Sherwood number.]]>