Effects of heat source on the stagnation point flow of a nanofluid over a stretchable sheet with magnetic field and zero mass flux at the surface

Abstract

In this paper, authors have investigated the heat transference rate of stagnation point flow of a nanofluid over a stretching sheet in a porous medium. The authors have examined the magnetohydrodynamic viscous flow of nanofluid. The transport equations involve Brownian motion and thermophoresis effects. The properties of heat transfer of nanofluids are acknowledged via a numerical algorithm. Diffusivity and conductivity characteristics of fluid are relying on nanoparticles volume fraction and the model is based on energy, momentum, mass conservation, and concentration equations. For the physical significance of the flow model, authors have utilized the zero mass flux condition at the surface. Similarity transformations are used to convert the PDEs (Nonlinear Partial Differential Equations) into a set of coupled ODEs (Ordinary Differential Equations). A built-in bvp4c algorithm in MATLAB software produces convergent implications of nonlinear systems. An exhaustive analysis of pertinent parameters, magnetic, porosity, heat source/sink parameter, etc, is done for clarification of the physical significance. The higher far-field velocity causes the temperature to rise but the heat transfer rate to reduce at the surface. The zero mass flux condition relates to the higher concentration of nanoparticles at the far field in comparison to the surface.