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

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 t...

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Bibliographic Details
Main Authors: Abdul M. Siddiqui, Getinet A. Gawo, Khadija Maqbool
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:AIMS Biophysics
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/biophy.2021006?viewType=HTML
Description
Summary: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.
ISSN:2377-9098