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Volume 3, Issue 5
Flow of Newtonian Fluid in Non-Uniform Tubes with Application to Renal Flow: A Numerical Study

P. Muthu & Tesfahun Berhane

Adv. Appl. Math. Mech., 3 (2011), pp. 633-648.

Published online: 2011-03

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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 are studied and the results are presented graphically. Comparison is also made between the results obtained by perturbation method of solution and present approach.

  • Keywords

Non-uniform tube, renal flow, Takabatake finite difference scheme.

  • AMS Subject Headings

76Z05, 92C10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-3-633, author = {P. and Muthu and and 10220 and and P. Muthu and Tesfahun and Berhane and and 10221 and and Tesfahun Berhane}, title = {Flow of Newtonian Fluid in Non-Uniform Tubes with Application to Renal Flow: A Numerical Study}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2011}, volume = {3}, number = {5}, pages = {633--648}, 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 are studied and the results are presented graphically. Comparison is also made between the results obtained by perturbation method of solution and present approach.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m1064}, url = {http://global-sci.org/intro/article_detail/aamm/187.html} }
TY - JOUR T1 - Flow of Newtonian Fluid in Non-Uniform Tubes with Application to Renal Flow: A Numerical Study AU - Muthu , P. AU - Berhane , Tesfahun JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 633 EP - 648 PY - 2011 DA - 2011/03 SN - 3 DO - http://doi.org/10.4208/aamm.10-m1064 UR - https://global-sci.org/intro/article_detail/aamm/187.html KW - Non-uniform tube, renal flow, Takabatake finite difference scheme. AB -

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 are studied and the results are presented graphically. Comparison is also made between the results obtained by perturbation method of solution and present approach.

P. Muthu & Tesfahun Berhane. (1970). Flow of Newtonian Fluid in Non-Uniform Tubes with Application to Renal Flow: A Numerical Study. Advances in Applied Mathematics and Mechanics. 3 (5). 633-648. doi:10.4208/aamm.10-m1064
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