Stagnation-point flow and heat transfer of power-law MHD fluid over a stretching surface with convective heat transferboundary condition

Abstract

Purpose

This paper aims to discuss the stagnation-point flow and heat transfer for power-law fluid pass through a stretching surface with heat generation effect. Unlike the previous considerations about the research on stagnation-point flow, the process of heat transfer and the convective heat transfer boundary condition use the modified Fourier’s law in which the heat flux is power-law-dependent on velocity gradient.

Design/methodology/approach

The similarly transformation is used to convert the governing partial differential equations into a series of ordinary differential equations which are solved analytically by using the differential transform method and the base function method.

Findings

The variations of the velocity and temperature fields for different specific related parameters are graphically discussed and analyzed. There is a special phenomenon that all the velocity profiles converge from the initial value of velocity to stagnation parameter values. And the larger power-law index enhancesthe momentum diffusion. A significant phenomenon can be observed that the larger power-law index causes a decline in the heat flux. This influence indicates that the higher viscosity restricts the heat transfer. Furthermore, both velocity gradient and temperature gradient play an indispensable role in the processes of heat transfer.

Originality/value

This paper researches the process of heat transfer of stagnation-point flow ofpower-law magneto-hydro-dynamical fluid over a stretching surface with modified convective heat transfer boundary condition.

Citation

Xie, B. and Wang, Y.-M. (2022), "Stagnation-point flow and heat transfer of power-law MHD fluid over a stretching surface with convective heat transferboundary condition", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 32 No. 1, pp. 265-282. https://doi.org/10.1108/HFF-12-2020-0770