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

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

doi:10.3934/biophy.2021006

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

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

Penn State York

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	80-102
Number of pages	23
Journal	AIMS Biophysics
Volume	7
Issue number	1
DOIs	https://doi.org/10.3934/biophy.2021006
State	Published - 2020

All Science Journal Classification (ASJC) codes

Biophysics
Structural Biology
Biochemistry
Molecular Biology

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abstract = "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.",

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AU - Siddiqui, Abdul M.

AU - Gawo, Getinet A.

AU - Maqbool, Khadija

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N2 - 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.

AB - 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.

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

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