Abd-Alla A M, Abo-Dahab S M, Salah Doaa M, Bayones F S, Abdelhafez M A
Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt.
Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523, Egypt.
Sci Rep. 2023 Nov 30;13(1):21088. doi: 10.1038/s41598-023-48137-x.
In the present paper, the effects of magnetic field and heat transfer on the peristaltic flow of a Jeffery fluid through a porous medium in an asymmetric channel have been studied. The governing non-linear partial differential equations representing the flow model are transmuted into linear ones by employing the appropriate non-dimensional parameters under the assumption of long wavelength and low Reynolds number. Exact solutions are presented for the stream function, pressure gradient, and temperature. The frictional force and pressure rise are both computed using numerical integration. Using MATLAB R2023a software, a parametric analysis is performed, and the resulting data is represented graphically. For all physical quantities considered, numerical calculations were made and represented graphically. Trapping phenomena are discussed graphically. The obtained results can be applied to enhance pumping systems in engineering and gastrointestinal functions. This analysis permits body fluids such as blood and lymph to easily move inside the arteries and veins, allowing oxygen supply, waste elimination, and other necessary elements.
在本文中，研究了磁场和热传递对Jeffery流体在非对称通道中通过多孔介质的蠕动流的影响。通过在长波长和低雷诺数假设下采用适当的无量纲参数，将表示流动模型的 governing 非线性偏微分方程转化为线性方程。给出了流函数、压力梯度和温度的精确解。摩擦力和压力升均通过数值积分计算。使用MATLAB R2023a软件进行参数分析，并将所得数据以图形方式表示。对于所有考虑的物理量，进行了数值计算并以图形方式表示。以图形方式讨论了俘获现象。所得结果可应用于增强工程中的泵送系统和胃肠功能。该分析允许血液和淋巴等体液在动脉和静脉内轻松流动，从而实现氧气供应、废物清除和其他必需元素的运输。
