The aim of this paper is to study the free convection boundary-layer flow with heat generation and variable fluid properties past a vertical plate. We incorporated the heat generation and variable viscosity are the exponential decay form and thermal conductivity is the linear form in the governing equation. Using similarity transformations, the governing coupled non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations and then solved using Maple symbolic software to execute the computations via dsolve. The effects of the temperature-dependent viscosity, the wall velocity power index, the thermal conductivity, the wall temperature parameter, and the Prandtl number on the flow and temperature fields are presented. The skin friction and the wall temperature gradient are also presented for different values of the physical parameters.

中文翻译：

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考虑指数变粘度和热导率，内部发热对通过垂直板的自由对流幂律变温的影响

本文的目的是研究具有发热和可变流体特性的自由对流边界层流通过垂直板。我们在控制方程中加入了发热和可变粘度是指数衰减形式，热导率是线性形式。使用相似变换，将控制耦合非线性偏微分方程转换为耦合非线性常微分方程组，然后使用 Maple 符号软件求解，通过 dsolve 执行计算。介绍了随温度变化的粘度、壁速功率指数、热导率、壁温参数和普朗特数对流场和温度场的影响。