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Unsteady MHD double-diffusive convection boundary-layer flow past a radiate hot vertical surface in porous media in the presence of chemical reaction and heat sink

机译:在存在化学反应和散热片的情况下,不稳定的MHD双扩散对流边界层流经过多孔介质中的辐射热垂直表面

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摘要

This paper presents an analytical study of the unsteady MHD free convective heat and mass transfer flow of a viscous, incompressible, gray, absorbing-emitting but non-scattering, optically-thick and electrically conducting fluid occupying a semi-infinite porous regime adjacent to an infinite moving hot vertical plate with constant velocity. We employ a Darcian viscous flow model for the porous medium the Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. The homogeneous chemical reaction of first order is accounted in mass diffusion equation. The governing equations are solved in closed form by Laplace-transform technique. A parametric study of all involved parameters is conducted and representative set of numerical results for the velocity, temperature, concentration, shear stress function (frac{partial u}{partial y} vert_{y=0}), temperature gradient (frac{partial theta }{ partial y}vert_{y=0}), and concentration gradient (frac{ partial phi }{partial y}vert_{y=0}) is illustrated graphically and physical aspects of the problem are discussed.
机译:本文提供了一种分析性研究,该研究涉及粘稠,不可压缩,灰色,吸收发射但不散射,光学厚且导电的流体的非稳态MHD自由对流传热和传质流,该流体占据了与流体相邻的半无限多孔区域。无限移动的热垂直板,速度恒定。对于多孔介质,我们采用Darcian粘性流模型,Rosseland扩散近似用于描述能量方程中的辐射热通量。一阶均相化学反应在质量扩散方程中说明。控制方程通过拉普拉斯变换技术以封闭形式求解。进行了所有相关参数的参数研究,并获得了一组具有代表性的数值结果,包括速度,温度,浓度,切应力函数(frac {partial u} {partial y} vert_ {y = 0}),温度梯度(frac {partial θ{{部分y} vert_ {y = 0})和浓度梯度(frac {部分phi} {部分y} vert_ {y = 0})进行了图解说明,并讨论了该问题的物理方面。

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