On magnetohydrodynamic three-dimensional flow of nanofluid over a convectively heated nonlinear stretching surface

Abstract

This research article explores the magnetohydrodynamic (MHD) three-dimensional flow of viscous nanofluid subject to convective surface boundary condition. Flow is generated by an impermeable surface which is stretched nonlinearly. The process of heat transfer is managed through the convective surface boundary condition. Heat and mass transfer aspects are studied through the thermophoresis and Brownian motion effects. Viscous fluid is assumed electrically conducting through a non-uniform applied magnetic field. Mathematical formulation is presented subject to small magnetic Reynolds number and boundary layer assumptions. Newly constructed condition having zero mass flux of nanoparticles at the boundary is incorporated. Suitable transformations yield a strong nonlinear differential system. Convergent homotopic solutions for resulting nonlinear system are constructed and verified. Impacts of various influential parameters on the temperature and nanoparticles concentration are sketched and discussed. Numerical computations are performed to examine the skin-friction coefficients and local Nusselt number.