Analysis of Stokes flow through periodic permeable tubules

A. M. Siddiqui; Ayesha Sohail; S. Naqvi; T. Haroon

doi:10.1016/j.aej.2016.09.010

Analysis of Stokes flow through periodic permeable tubules

A. M. Siddiqui, Ayesha Sohail, S. Naqvi, T. Haroon

Penn State York

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

14 Scopus citations

Abstract

This article reports the detailed analysis of the Stokes flow through permeable tubes. The objective of this investigation was to search for exact solutions to the Stokes flow and thereby observe the effects on radial flow component, provided the permeability on the tubular surface is an elementary trigonometric function. Mathematical expressions for the pressure distribution, velocity components, volume flux, average wall shear stress and leakage flux are presented explicitly. Graphical analysis of the fluid flow is presented for a set of parametric values. Important conclusions are drawn for Stokes flow through tubes with low as well as high permeability. The classical Poiseuille flow is presented as a limiting case of this immense study of Stokes flow.

Original language	English (US)
Pages (from-to)	105-113
Number of pages	9
Journal	Alexandria Engineering Journal
Volume	56
Issue number	1
DOIs	https://doi.org/10.1016/j.aej.2016.09.010
State	Published - Mar 1 2017

All Science Journal Classification (ASJC) codes

General Engineering

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10.1016/j.aej.2016.09.010

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abstract = "This article reports the detailed analysis of the Stokes flow through permeable tubes. The objective of this investigation was to search for exact solutions to the Stokes flow and thereby observe the effects on radial flow component, provided the permeability on the tubular surface is an elementary trigonometric function. Mathematical expressions for the pressure distribution, velocity components, volume flux, average wall shear stress and leakage flux are presented explicitly. Graphical analysis of the fluid flow is presented for a set of parametric values. Important conclusions are drawn for Stokes flow through tubes with low as well as high permeability. The classical Poiseuille flow is presented as a limiting case of this immense study of Stokes flow.",

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AU - Siddiqui, A. M.

AU - Sohail, Ayesha

AU - Naqvi, S.

AU - Haroon, T.

PY - 2017/3/1

Y1 - 2017/3/1

N2 - This article reports the detailed analysis of the Stokes flow through permeable tubes. The objective of this investigation was to search for exact solutions to the Stokes flow and thereby observe the effects on radial flow component, provided the permeability on the tubular surface is an elementary trigonometric function. Mathematical expressions for the pressure distribution, velocity components, volume flux, average wall shear stress and leakage flux are presented explicitly. Graphical analysis of the fluid flow is presented for a set of parametric values. Important conclusions are drawn for Stokes flow through tubes with low as well as high permeability. The classical Poiseuille flow is presented as a limiting case of this immense study of Stokes flow.

AB - This article reports the detailed analysis of the Stokes flow through permeable tubes. The objective of this investigation was to search for exact solutions to the Stokes flow and thereby observe the effects on radial flow component, provided the permeability on the tubular surface is an elementary trigonometric function. Mathematical expressions for the pressure distribution, velocity components, volume flux, average wall shear stress and leakage flux are presented explicitly. Graphical analysis of the fluid flow is presented for a set of parametric values. Important conclusions are drawn for Stokes flow through tubes with low as well as high permeability. The classical Poiseuille flow is presented as a limiting case of this immense study of Stokes flow.

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Analysis of Stokes flow through periodic permeable tubules

Abstract

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