Simultaneous effects of magnetic field and convective condition in three-dimensional flow of couple stress nanofluid with heat generation/absorption

Abstract

This work investigates the combined effects of heat generation/absorption and convective condition in magnetohydrodynamic (MHD) three-dimensional flow of couple stress nanofluid. The flow is because of a bidirectional stretching surface. Heat transfer mechanism is studied through the convective boundary condition. Problem formulation is developed in the presence of Brownian motion and thermophoresis. Couple stress fluid is electrically conducted subject to uniform applied magnetic field. Simultaneous effects of convective heat and zero nanoparticles mass flux conditions are utilized at the surface. Suitable transformations are employed to reduce the partial differential system into the nonlinear ordinary differential system. The resulting nonlinear system has been solved for the convergent series solutions. The temperature and nanoparticles concentration are discussed for various sundry variables. The skin friction coefficients and local Nusselt number are also computed and examined. Our computations reveal that the temperature distribution has a direct relationship with the Biot number and heat generation/absorption parameter. Further the temperature distribution and thermal boundary layer thickness are lower for Newtonian fluid in comparison to the couple stress fluid.