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部分滑移和侧壁对矩形管道中 couple 应力流体蠕动传输的影响

Impact of partial slip and lateral walls on peristaltic transport of a couple stress fluid in a rectangular duct.

作者信息

Akram Safia, Saleem Najma, Umair Mir Yasir, Munawar Sufian

机构信息

MCS, National University of Sciences and Technology, Islamabad, Pakistan.

College of Sciences & Human Studies, Prince Mohammad Bin Fahd University, Alkhobar, Saudi Arabia.

出版信息

Sci Prog. 2021 Apr-Jun;104(2):368504211013632. doi: 10.1177/00368504211013632.

Abstract

The impact of lateral walls and partial slip with different waveforms on peristaltic pumping of couple stress fluid in a rectangular duct with different waveforms has been discussed in the current article. By means of a wave frame of reference the flow is explored travelling away from a fixed frame with velocity c. Peristaltic waves generated on horizontal surface walls of rectangular duct are considered using lubrication technique. Mathematical modelling of couple fluid for three-dimensional flow are first discussed in detail. Lubrication approaches are used to simplify the proposed problem. Exact solutions of pressure gradient, pressure rise, velocity and stream function have been calculated. Numerical and graphical descriptions are displayed to look at the behaviour of diverse emerging parameters.

摘要

本文讨论了不同波形的侧壁和部分滑移对矩形管道中 couple stress 流体蠕动泵送的影响。借助波动参考系,研究流体以速度 c 远离固定参考系的流动。利用润滑技术考虑矩形管道水平表面壁上产生的蠕动波。首先详细讨论了三维流动的 couple 流体数学建模。采用润滑方法简化所提出的问题。计算了压力梯度、压力上升、速度和流函数的精确解。通过数值和图形描述来考察各种新出现参数的行为。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/760c/10305832/7eee512f5cd4/10.1177_00368504211013632-fig1.jpg

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