The mathematical and theoretical impacts of heat and mass transportation on the peristaltic process of electrically conducting hyperbolic tangent liquid in an asymmetric tapered channel are considered. Flow in porous space is categorized through modified Darcy's law. The mechanism of heat transfer is also examined in conjunction with viscous dissipation. Both Soret and Dufour impacts are also included to study mass flux generated by a temperature gradient and energy flux affected by concentration differences. Lubrication approximation theory is implemented to simplify the two-dimensional flow equations of hyperbolic tangent liquid using a Cartesian coordinate system. The significant role of numerous implicated parameters on the flow phenomenon is summarized numerically via graphs. The present outcome reveals that liquid velocity declines with an enhancement of Darcy's number, whereas its diminutions with an increase of Weissenberg's number. Moreover, the temperature of fluid enhances with a boost in Dufour number.

中文翻译：

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锥形通道双曲切线流体蠕动输送传热传质现象分析

考虑了热量和质量传输对非对称锥形通道中导电双曲正切液体的蠕动过程的数学和理论影响。多孔空间中的流动通过修改后的达西定律进行分类。还结合粘性耗散来检查传热机制。还包括 Soret 和 Dufour 影响以研究由温度梯度产生的质量通量和受浓度差异影响的能量通量。实施润滑近似理论以使用笛卡尔坐标系简化双曲正切液体的二维流动方程。许多相关参数对流动现象的重要作用通过图表以数字方式进行了总结。目前的结果表明，液体速度随着达西数的增加而下降，而随着韦森伯格数的增加而下降。此外，流体的温度随着杜福尔数的增加而提高。