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粘性纳米流体在收敛微通道中蠕动流动的双扩散对流和 Hall 效应:生物技术应用。

Double diffusive convection and Hall effect in creeping flow of viscous nanofluid through a convergent microchannel: a biotechnological applications.

机构信息

School of Science, Huzhou University, Huzhou, P. R. China.

Department of Mathematics, Northern University, Khyber Pakhtunkhwa, Pakistan.

出版信息

Comput Methods Biomech Biomed Engin. 2021 Sep;24(12):1326-1343. doi: 10.1080/10255842.2021.1888373. Epub 2021 Feb 24.

Abstract

Current analysis presents the mathematical modeling for peristaltic transport of nanofluid with applications of double-diffusive convection and Hall features. The flow has been induced by a convergent channel due to peristaltic propulsion. These rheological equations are transformed from fixed to wave frames by using a linear mathematical relation between these two frames. The dimensionless variables are used to transform these rheological equations into nondimensional forms. The flow analysis is carried out under two distinct scientific biological assumptions, one is known as long wavelength and the second one is low Reynolds number. The analytical solutions of these rheological equations are obtained with the help of a rigorous analytical method known as integration in the term of stream function. The physical effects of magnetic and Hall devices, respectively, on the flow features are also considered in the present analysis. The physical influences of dominant hydro-mechanical parameters on the axial velocity, pressure gradient, trapping, volumetric fraction of nanofluid, heat and mass transfer phenomena are studied. The complex scenario of biomimetic propulsions are considered in boundary walls to boost the proficiency of peristaltic micropumps.

摘要

当前的分析提出了带有双扩散对流和 Hall 效应的纳米流体蠕动传输的数学模型。由于蠕动推进,流动是由收敛通道引起的。这些流变学方程通过在这两个框架之间使用线性数学关系从固定框架转换为波动框架。使用无量纲变量将这些流变学方程转换为无量纲形式。在两个不同的科学生物学假设下进行流动分析,一个假设是长波长,另一个假设是低雷诺数。这些流变学方程的解析解是通过一种称为流函数积分的严格解析方法获得的。在本分析中还考虑了磁场和 Hall 装置对流动特性的物理影响。研究了主要水力学参数对轴向速度、压力梯度、捕集、纳米流体体积分数、热传递和质量传递现象的影响。在边界壁上考虑了仿生推进的复杂情况,以提高蠕动微泵的效率。

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