Unsteady Incompressible Stokes Flow through Porous Pipe of Uniform Circular Cross Section with Periodic Suction and Injection

Authors

  • Kaleemullah Bhatti Department of Mathematics and Social Science, Sukkur IBA Sukkur, Pakistan
  • Abdul Majeed Siddiqui Department of Mathematics, Pennsylvania State University, York Campus York, PA 17403, U.S.A
  • Zarqa Bano Department of Mathematics and Social Science, Sukkur IBA Sukkur, Pakistan

DOI:

https://doi.org/10.30537/sjcms.v1i1.3

Keywords:

Unsteady Stokes Flow, Porous pipe, circular cross section, Periodic Suction and Injection, No Slip

Abstract

This work is concerned with the flow of a Newtonian fluid through a pipe of constant circular cross section which is uniformly porous. The governing unsteady equations are solved analytically after converting them to a third order ordinary differential equation using similarity transformation method. Expressions for axial and radial velocity components and pressure distribution are obtained. The characteristics of complex axial velocity and complex radial velocity for different values of parameters are analysed. The effects of small suction and small injection are delineated through graphs. Results reveal that suction or injection has significant influence on the flow.

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SJCMS | January - June 2017

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Published

2017-06-30

Issue

Vol. 1 No. 1 (2017): January - June 2017

Section

Research Articles

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