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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Main Authors:	Abdul M. Siddiqui, Getinet A. Gawo, Khadija Maqbool
Format:	Article
Language:	English
Published:	AIMS Press 2021-03-01
Series:	AIMS Biophysics
Subjects:	proximal tubule linear reabsorption slip boundary fractional reabsorption flow rate
Online Access:	http://www.aimspress.com/article/doi/10.3934/biophy.2021006?viewType=HTML

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spelling	doaj-e3e6ea4e5c094de48e6d8273c133414f2021-03-22T01:44:02ZengAIMS PressAIMS Biophysics2377-90982021-03-01818010210.3934/biophy.2021006On slip of a viscous fluid through proximal renal tubule with linear reabsorptionAbdul M. Siddiqui0Getinet A. Gawo1Khadija Maqbool21. Pennsylvania State University, 1031 Edgecomb Ave, York, PA 17403, USA1. Pennsylvania State University, 1031 Edgecomb Ave, York, PA 17403, USA2. Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, PakistanThe 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.http://www.aimspress.com/article/doi/10.3934/biophy.2021006?viewType=HTMLproximal tubulelinear reabsorptionslip boundaryfractional reabsorptionflow rate
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Abdul M. Siddiqui Getinet A. Gawo Khadija Maqbool
spellingShingle	Abdul M. Siddiqui Getinet A. Gawo Khadija Maqbool On slip of a viscous fluid through proximal renal tubule with linear reabsorption AIMS Biophysics proximal tubule linear reabsorption slip boundary fractional reabsorption flow rate
author_facet	Abdul M. Siddiqui Getinet A. Gawo Khadija Maqbool
author_sort	Abdul M. Siddiqui
title	On slip of a viscous fluid through proximal renal tubule with linear reabsorption
title_short	On slip of a viscous fluid through proximal renal tubule with linear reabsorption
title_full	On slip of a viscous fluid through proximal renal tubule with linear reabsorption
title_fullStr	On slip of a viscous fluid through proximal renal tubule with linear reabsorption
title_full_unstemmed	On slip of a viscous fluid through proximal renal tubule with linear reabsorption
title_sort	on slip of a viscous fluid through proximal renal tubule with linear reabsorption
publisher	AIMS Press
series	AIMS Biophysics
issn	2377-9098
publishDate	2021-03-01
description	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.
topic	proximal tubule linear reabsorption slip boundary fractional reabsorption flow rate
url	http://www.aimspress.com/article/doi/10.3934/biophy.2021006?viewType=HTML
work_keys_str_mv	AT abdulmsiddiqui onslipofaviscousfluidthroughproximalrenaltubulewithlinearreabsorption AT getinetagawo onslipofaviscousfluidthroughproximalrenaltubulewithlinearreabsorption AT khadijamaqbool onslipofaviscousfluidthroughproximalrenaltubulewithlinearreabsorption
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On slip of a viscous fluid through proximal renal tubule with linear reabsorption

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