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.

中文翻译：

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具有对流传热边界条件的拉伸表面上幂律 MHD 流体的驻点流动和传热

目的

本文旨在讨论幂律流体通过具有发热效应的拉伸面的驻点流动和传热。与之前关于驻点流动研究的考虑不同，传热过程和对流传热边界条件使用修正的傅立叶定律，其中热通量与速度梯度呈幂律相关。

设计/方法/方法

相似变换用于将控制偏微分方程转化为一系列常微分方程，通过微分变换方法和基函数方法解析求解。

发现

以图形方式讨论和分析了不同特定相关参数的速度和温度场的变化。存在一种特殊现象，即所有速度剖面都从速度初始值收敛到停滞参数值。并且较大的幂律指数增强了动量扩散。可以观察到一个显着的现象，即较大的幂律指数导致热通量下降。这种影响表明较高的粘度限制了传热。此外，速度梯度和温度梯度在传热过程中都起着不可或缺的作用。

原创性/价值

本文研究了幂律磁流体动力流体在具有修正对流传热边界条件的拉伸面上的驻点流动的传热过程。