On slip of a viscous fluid through proximal renal tubule with linear reabsorption

Author:

Siddiqui Abdul M., ,Gawo Getinet A.,Maqbool Khadija,

Abstract

<p>The hydrodynamical problem of flow in proximal renal tubule is investigated. Axisymmetric flow of viscous, incompressible fluid through the proximal renal tubule that undergoes linear reabsorption with slip at the wall is considered. The stream function is used to transform the governing equations to system of ordinary differential equations. The analytical solutions for velocity components, pressure distribution, fractional reabsorption and the shear stress are found. The effect of slip parameter and reabsorption rate on the flow have been investigated. The points of extreme values for the axial and radial velocity components are identified. The solution is applied to physiological data from human and rat kidney, and the results are presented in tables and graphs.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Molecular Biology,Biochemistry,Structural Biology,Biophysics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. When is the Porous, Laminar Flow Problem with Slip Condition Well Posed? And Where Does the Solution Lie?;Transport in Porous Media;2023-02-07

2. Computational analysis of an axisymmetric flow of Jeffrey fluid in a permeable micro channel;Applied Mathematics and Computation;2022-04

3. Analytical study of creeping flow of Maxwell fluid in a permeable slit with linear re-absorption;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;2022-02-14

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