The magneto-hemodynamic laminar viscous flow of a conducting physiological fluid in a semi-porous channel under a transverse magnetic field has been analyzed by the optimal Homotopy Analysis Method (OHAM) and Differential Transform Method (DTM) under physically realistic boundary conditions first. Then as the main purpose of this study the important designing subject, entropy generation of this system, has been analyzed. The influence of Hartmann number (Ha) and transpiration Reynolds number (mass transfer parameter, Re) on the fluid velocity profiles in the channel are studied in detail first. After finding the fluid velocity profiles, graphical results are presented to investigate effects of the Reynolds number, Hartmann number, x-velocity of the moving plate, suspension height and dimensionless horizontal coordinate on the entropy generation.

中文翻译：

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用OHAM和DTM在半多孔通道中的磁流体流动中产生熵的参数分析

首先通过最佳同伦分析法（OHAM）和微分变换法（DTM）在物理现实的边界条件下分析了横向磁场下半多孔通道中导电生理流体的磁血流动力学层流粘性流。然后，作为本研究的主要目的，分析了该系统的重要设计主题，即熵的产生。首先详细研究了哈特曼数（Ha）和蒸腾雷诺数（传质参数，Re）对通道内流速分布的影响。找到流体速度曲线后，将提供图形结果以研究雷诺数，哈特曼数，x的影响板的速度，悬架高度和无量纲的水平坐标对熵的产生。