Hall Current and Thermal Radiation Effects on MHD Nanofluid in the Presence of Heat Source/Sink, Brownian Motion and Thermophoresis with Inclined Plates

Abstract

The purpose of present study is to analyse the influence of Hall current and thermal radiation MHD electrically conducting nanofluid flow past a continuously stretching surface with heat absorption/generation in the presence of Brownian motion and Thermophoresis has been explored. Transverse magnetic field with the assumption of small Reynolds number is implemented vertically. Appropriate similarity transformations are utilized to transform the governing partial differential equations into the non-linear ordinary differential equations. Numerical solutions for the dimensionless velocity, temperature and nanoparticle concentration are computed with the help of the shooting method. The impact of each of the Hall current parameter, thermal radiation parameter, Heat source/sink parameter, Brownian motion parameter, thermophoresis parameter and magnetic parameter on velocity, concentration and temperature, is discussed through graphs. The skin friction coefficient, the local Nusselt number and the Sherwood number are calculated numerically to look into the inside behaviour of the emerging parameters. It is witnessed that the flow velocity is a diminishing function of the linear and non-linear thermal radiation parameter. Moreover, mounting values of Brownian motion parameter reduce the nanoparticle concentration profile.