Slip effects on the flow of Newtonian fluid in renal tubule

Abdul M. Siddiqui, T. Haroon, M. Kahshan, M. Z. Iqbal

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The study of incompressible Newtonian fluid flow in a small diameter permeable tube by considering slip effects on walls is presented with an application to the flow in renal tubule. The fluid absorption at the tube walls is taken as a function of wall permeability and trans-boundary pressure drop. Using suitable physical approximations, the Navier-Stokes equations are transformed into simpler form. Exact analytical solutions of reduced equations are obtained. Expressions for radial and axial velocity profiles, pressure distribution, volume flow rate, wall shear stress, fractional reabsorption and streamlines are presented. Effects of wall permeability and slip coefficient on flow variables are studied and discussed graphically. The results indicate that slip coefficient considerably influences the flow variables. The obtained results coincide well with the existing solutions when the slip coefficient approaches to zero.

Original languageEnglish (US)
Pages (from-to)4319-4328
Number of pages10
JournalJournal of Computational and Theoretical Nanoscience
Volume12
Issue number11
DOIs
StatePublished - Nov 1 2015

Fingerprint

Newtonian flow
Newtonian fluids
Newtonian Fluid
Pressure distribution
Slip
Navier Stokes equations
Pressure drop
Shear stress
Flow of fluids
slip
Flow rate
Fluids
Permeability
Tube
Coefficient
permeability
influence coefficient
Wall Shear Stress
Pressure Drop
tubes

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Computational Mathematics
  • Electrical and Electronic Engineering

Cite this

Siddiqui, Abdul M. ; Haroon, T. ; Kahshan, M. ; Iqbal, M. Z. / Slip effects on the flow of Newtonian fluid in renal tubule. In: Journal of Computational and Theoretical Nanoscience. 2015 ; Vol. 12, No. 11. pp. 4319-4328.
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Slip effects on the flow of Newtonian fluid in renal tubule. / Siddiqui, Abdul M.; Haroon, T.; Kahshan, M.; Iqbal, M. Z.

In: Journal of Computational and Theoretical Nanoscience, Vol. 12, No. 11, 01.11.2015, p. 4319-4328.

Research output: Contribution to journalArticle

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AU - Haroon, T.

AU - Kahshan, M.

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AB - The study of incompressible Newtonian fluid flow in a small diameter permeable tube by considering slip effects on walls is presented with an application to the flow in renal tubule. The fluid absorption at the tube walls is taken as a function of wall permeability and trans-boundary pressure drop. Using suitable physical approximations, the Navier-Stokes equations are transformed into simpler form. Exact analytical solutions of reduced equations are obtained. Expressions for radial and axial velocity profiles, pressure distribution, volume flow rate, wall shear stress, fractional reabsorption and streamlines are presented. Effects of wall permeability and slip coefficient on flow variables are studied and discussed graphically. The results indicate that slip coefficient considerably influences the flow variables. The obtained results coincide well with the existing solutions when the slip coefficient approaches to zero.

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