Abstract

This paper presents a semi-analytical solution using homotopy perturbation method of magnetohydrodynamic unsteady flow of fluids between two inclined parallel permeable walls with the consideration of heat and mass transfer. The flow is subjected to variable magnetic field normal to the walls. The solution for the governing nonlinear partial differential equations coupled with equations of motion, concentration, and energy equation including the viscous and Joule dissipations is adopted. The effect of Prandtl and Eckart numbers, Reynolds magnetic number, Schmidt and Grashof numbers, and modified Grashof number, and magnetic field strength on velocity, temperature, concentration, and induced magnetic field are discussed. Results are represented graphically for the considered problem.

中文翻译：

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可变磁场作用下两个平行壁之间传热传质的非定常磁流体动力流动

摘要

本文提出了一种半同构摄动方法，该方法利用同质摄动法在考虑热和质量传递的情况下，在两个倾斜的平行可渗透壁之间进行流体的磁流体动力非稳态流动。气流受到垂直于壁的可变磁场的影响。采用控制非线性偏微分方程，运动方程，浓度方程和能量方程（包括粘性和焦耳耗散）的解。讨论了Prandtl和Eckart数，雷诺磁数，Schmidt和Grashof数，改进的Grashof数以及磁场强度对速度，温度，浓度和感应磁场的影响。结果以图形方式表示了所考虑的问题。