Unsteady magnetohydrodynamic nanofluid flow over a permeable exponentially surface manifested with non-uniform heat source/sink effects

Abstract

Current research inspects the influences of two-dimensional unsteady nanofluid flow over a permeable exponential stretching sheet with the impact of magnetic field parameter, thermal radiation together with a non-uniform heat source or sink. The dimensional equations namely Partial differential equations (PDE’s) are transformed into dimensionless form as ordinary differential equations (ODE’s) by using the suitable transformations. The reframed ODE’s are solved numerically through the computer-based tool MATLAB with the bvp4c package. The derived results of velocity, temperature and species distributions are depicted graphically. Also, the numerical results of skin friction coefficients, heat transfer rate and mass transfer rate in terms of Nusselt number and Sherwood number are deployed via tables. The comparison of the present work with published work shows complete agreement for skin friction factor and Nusselt number. In absolute sense skin friction enhances as magnetic field parameter enhances. The Brownian motion and thermophoresis parameters play an essential role towards thermophysical flow field of nanofluids. Further, we noticed that both Brownian motion parameter and thermophoresis parameter cause an enhancement in the fluid temperature. Furthermore, the unsteady parameter causes increase in wall friction and heat transfer rate. However, the opposite trend is observed for the heat source/sink parameters.