A NUMERICAL STUDY ON HEAT TRANSFER FOR MHD FLOW OF RADIATIVE CASSON NANOFLUID OVER A POROUS STRETCHING SHEET

Abstract

The current study deals with the heat transfer of the steady two-dimensional MHD Casson nanofluid flow over a non-linearly stretched porous sheet associated with viscous dissipation, chemical radiate parameters and thermal radiation. Using the appropriate similarity transformation, the non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations which are further numerically solved using a MATLAB built-in solver bvp4c (Boundary value problem of fourth-order). The comparison reveals an excellent agreement which proves the validation of the numerical approach. The effect of various MHD parameters on the velocity, temperature and nanoparticle concentration are discussed graphically whereas its impact on heat and mass transfer rate are shown in tabular form as Nusselt number and Sherwood number respectively. Enhancement in temperature profile is observed as a result of the increased value of the radiation parameter and Brownian motion parameter. In this study, both Newtonian and non-Newtonian cases are studied separately for each parameter. Moreover, this study demonstrates, when a porous sheet is stretched non-linearly under chemical and thermal radiation, the Casson nanofluid controls the temperature and nanoparticle concentration better than the Newtonian nanofluid.