Fluid flow in asymmetric channel

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Published: Oct 7, 2010
DOI: https://doi.org/10.5556/j.tkjm.42.2011.631
Keywords:
Asymmetric channel Perturbation method Permeable wall

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P. Muthu
N.I.T Warangal
Tesfahun Berhane
N.I.T Warangal

Abstract

In this paper, we investigate steady, viscous, incompressible fluid flow in an asymmetric channel with absorbing walls which may have possible applications in flows in renal tubules. The effect of fluid absorption through permeable wall is accounted for by prescribing flux as a function of axial distance. The nonlinear governing equations of motion are linearized by perturbation method by assuming $\delta$ (ratio of inlet width to wavelength) as a small parameter and the resulting equations are solved by numerical methods. The effects of reabsorption coefficient ($ \alpha $) and phase difference ($ \phi $) on the velocity profiles, mean pressure drop and wall shear stress are studied and explained graphically.

Article Details

How to Cite
Muthu, P., & Berhane, T. (2010). Fluid flow in asymmetric channel. Tamkang Journal of Mathematics, 42(2), 149–162. https://doi.org/10.5556/j.tkjm.42.2011.631
Issue
Vol. 42 No. 2 (2011)
Section
Papers
Author Biographies

P. Muthu, N.I.T Warangal

Department of Mathematics

Assistant Professor

Tesfahun Berhane, N.I.T Warangal

Department of Mathematics

Research Scholar

References

Robert I.Macey, Pressure flow patterns in a cylinder with reabsorbingwalls,Bull. of Mathematical Biophysics, 25(1963), 1-9.

R. B. Kelman, A theoretical note on exponential flow in the proximal part of the mammalian nephron, Bull. of Mathematical Biophysics, 24(1962), 303–317.

Robert I.Macey, Hydrodynamics in renal tubules, Bull. of Mathematical Biophysics, 27(1965), 117–124.

E. A. Marshall, and E. A. Trowbridge, Flow of a newtonian fluid through a permeable tube: The application

to the proximal renal tubule, Bull. of Mathematical Biology, 36(1974), 457–476.

Paul J. Palatt, Henry Sackin and Roger I. Tanner, A hydrodynamical model of a permeable tubule, J. Theor. Biol., 44(1974), 287–303.

G. Radhakrisnamacharya, Peeyush Chandra and M. R. Kaimal, A hydrodynamical study of the flow in renal tubules, Bull. of Mathematical Biology, 43(1981), 151–163.

Peeyush Chandra, and J. S. V. R. Krishna Prasad, Low Reynolds number flow in tubes of varying cross-section with absorbing walls, Jour.Math. Phy. Sci., 26(1992).

P. Chaturani, and T. R. Ranganatha, Flow of Newtonian fluid in non-uniformtubes with variable wall permeability with application to flow in renal tubules, Acta Mechanica, 88(1991), 11–26.

P.Muthu and Tesfahun Berhane,Mathematicalmodel of flowin renal tubules. To appear in Int. Jr. App.Maths. Mech., (2010).

M. Mishra and A. Ramachandra Rao, Peristaltic transport of a Newtonian fluid in an asymmetric channel, ZAMP, 54(2003), 532–550.

S. Srinivas and V. Pushparaj,Nonlinear peristaltic transport in an inclined asymmetric channel, Comm. Non-linear Sci. Numer. Simul., 13(2008), 1782–1795.