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Flow of Newtonian Fluid in Non-Uniform Tubes with Application to Renal Flow: A Numerical Study

Published online by Cambridge University Press:  03 June 2015

P. Muthu  and
Tesfahun Berhane
P. Muthu*
Affiliation:
Department of Mathematics, National Institute of Technology, Warangal, Warangal 506004, India
Tesfahun Berhane*
Affiliation:
Department of Mathematics, National Institute of Technology, Warangal, Warangal 506004, India
*
Corresponding author. URL: http://www.nitw.ac.in/nitwnew/facultypage.aspx?didno=9&fidno=622 Email: [email protected]
Email: [email protected]
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Abstract

In this paper, a numerical method employing a finite difference technique is used for an investigation of viscous, incompressible fluid flow in a tube with absorbing wall and slowly varying cross-section. The effect of fluid absorption through permeable wall is accounted by prescribing flux as a function of axial distance. The method is not restricted by the parameters in the problem such as wave number, permeability parameter, amplitude ratio and Reynolds number. The effects of these parameters on the radial velocity and mean pressure drop is studied and the results are presented graphically. Comparison is also made between the results obtained by perturbation method of solution and present approach.

Keywords

76Z0592C10Non-uniform tuberenal flowTakabatake finite difference scheme
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 5 , October 2011 , pp. 633 - 648
Copyright
Copyright © Global-Science Press 2011

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