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Journal of Porous Media

 

ISSN for PRINT: 1091-028X

Institutional price:

$713.00

Issues per year:

8

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Best Paper Award Selection - Editorial Board Site

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2006, Volume9

Issue 1

  98 pages  

DOI: 10.1615/JPorMedia.v9.i1   

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Issue price - $155.00  

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  • A Mathematical Model of Peristalsis in Tubes through a Porous Medium
  • Tasawar Hayat
    Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, Pakistan

    Masood Khan
    Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, Pakistan

    S. Asghar
    Department of Mathematical Sciences, COMSATS Institute of Information Technology, Islamabad, Pakistan; Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North West University, South Africa

    A. M. Siddiqui
    Department of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA 17403, USA


    ABSTRACT

    The problem of peristaltic motion in a tube through a porous medium has been investigated. The mathematical model considers a Jeffrey incompressible fluid. The wavelength of the traveling wave is assumed to be large. Analytical expressions for the stream function, axial velocity, and pressure gradient have been obtained. Numerical computations are performed for pressure drop and frictional force per wavelength. The effect of various parameters on the flow is discussed with the help of graphs.

    DOI: 10.1615/JPorMedia.v9.i1.40

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