The present study investigates the heat and mass transfer of magnetohydrodynamic (MHD) free convection through two infinite plates embedded with porous materials. In addition to that the combined effect of viscous dissipation, heat source/sink considered in energy equation and thermodiffusion effect is taken care of in the mass transfer equation. Using suitable non-dimensional variables, the expressions for the velocity, temperature, species concentration fields, as well as shear stress coefficient at the plate, rate of heat and mass transfer, i.e. Nusselt number (Nu) and Sherwood number (Sh) are expressed in the non-dimensional form. These coupled nonlinear differential equations are solved using perturbation technique and their behaviour is demonstrated via graphs for various values of pertinent physical parameters namely, Hartmann number (Ha), Reynolds number (Re), Schmidt number (Sc), Soret number (So), permeability parameter etc. In a particular case, the present result was compared with earlier established results and the results are found to be in good agreement. However, major findings are elaborated in the results and discussion section.

中文翻译：

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自由对流泊肃叶流在滑流状态下通过两个无限垂直板之间的多孔介质

本研究通过嵌入多孔材料的两个无限板研究磁流体动力学 (MHD) 自由对流的传热和传质。除此之外，在传质方程中还考虑了粘性耗散、能量方程中考虑的热源/汇和热扩散效应的组合效应。使用合适的无量纲变量，表达了速度、温度、物种浓度场以及板处的剪切应力系数、传热和传质速率，即努塞尔数 (Nu) 和舍伍德数 (Sh)以无量纲形式。这些耦合非线性微分方程使用微扰技术求解，它们的行为通过相关物理参数的各种值（即哈特曼数 (Ha)、雷诺数 (Re)、施密特数 (Sc)、索雷数 (So)、渗透率参数等。在特定情况下，将当前结果与早期建立的结果进行比较，发现结果非常吻合。但是，主要发现在结果和讨论部分进行了详细说明。