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Research Journal of Science and Technology
Year : 2017, Volume : 9, Issue : 3
First page : ( 441) Last page : ( 446)
Print ISSN : 0975-4393. Online ISSN : 2349-2988.
Article DOI : 10.5958/2349-2988.2017.00077.8

Influence of Slip Condition on Unsteady Pulsatile Flow through a Porous Medium in a Circular Pipe

Chitra M.1,*, Kavitha V.2

1Associate Professor, Department of Mathematics, Thiruvalluvar University, Vellore-632 115, Tamil Nadu, India

2Research Scholar, Department of Mathematics, Thiruvalluvar University, Vellore-632 115, Tamil Nadu, India, kavithavijayakumar94@gmail.com

*Corresponding Author E-mail: chitratvu@mail.com

Online published on 12 June, 2018.

Abstract

The unsteady pulsatile flows of a viscous incompressible Newtonian conducting fluid through a porous medium in a circular pipe with slip boundaries are investigated. Main idea of our work is to study these phenomena mathematically and an exact solution of the equation of motion is obtained by applying Bessel function for the axial velocity and shear stress. The effects of permeability parameter (k), Knudsen number (kn) and Womersley parameter (α) on axial velocity and shear stress have been computed graphically.

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Keywords

Porous medium, Pulsatile flow, Slip flow condition, Bessel function.

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