A Jeffrey Fluid Model for a Porous-walled Channel: Application to Flat Plate Dialyzer

被引：55

作者：

Kahshan, M. ^{[1
,2
]}

Lu, D. ^{[1
]}

Siddiqui, A. M. ^{[3
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China

[2] COMSATS Univ Islamabad, Dept Math, Abbottabad Campus, Abbottabad 22060, Pakistan

[3] Penn State Univ, York Campus, Edgecomb, PA USA

来源：

SCIENTIFIC REPORTS | 2019年 / 9卷 / 1期

基金：

中国博士后科学基金;

关键词：

LAMINAR-FLOW; NEWTONIAN FLUID; HYDRODYNAMICS;

D O I：

10.1038/s41598-019-52346-8

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Creeping motion of a Jeffrey fluid in a small width porous-walled channel is presented with an application to flow in flat plate hemodialyzer. Darcy's law is used to characterize the fluid leakage through channel walls. Using suitable physical approximations, approximate analytical solution of equations of motion is obtained by employing perturbation method. Expressions for velocity field and the hydrostatic pressure are obtained. Effects of filtration coefficient, the inlet pressure and Jeffrey fluid parameters on the flow characteristics are discussed graphically. The derived results are used to study the flow of filtrate in a flat plat hemodialyzer. Using the derived solutions, theoretical values of the filtration rate and the mean pressure difference in the hemodialyzer are calculated. On comparing the computed results with the available experimental data, a reasonable agreement between the two is found. It is concluded that the presented model can be used to study the hydrodynamical aspects of the fluid flow in a flat plate hemodialyzer.

引用

页数：18

共 33 条

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