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Pulsatile flow in circular tubes of varying cross-section with suction/injection

Published online by Cambridge University Press:  17 February 2009

Peeyush Chandra  and
J. S. V. R. Krishna Prasad
Peeyush Chandra
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kanpur, 208016, India
J. S. V. R. Krishna Prasad
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kanpur, 208016, India
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Abstract

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We consider here pulsatile flow in circular tubes of varying cross-section with permeable walls. The fluid exchange across the wall is accounted for by prescribing the normal velocity of the fluid at the wall. A perturbation analysis has been carried out for low Reynolds number flows and for small amplitudes of oscillation. It has been observed that the magnitude of the wall shear stress and the pressure drop decrease as the suction velocity increases. Further, as the Reynolds number is increased, the magnitude of wall shear stress increases in the convergent portion and decreases in the divergent portion of a constricted tube.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 35 , Issue 3 , January 1994 , pp. 366 - 381
Copyright
Copyright © Australian Mathematical Society 1994

References

[1]Bitoun, J. P. and Bellet, D., “Blood flow through a stenosis in microcirculation”, Biorheology 23 (1986) 51–61.Google Scholar
[2]Gaeghtgens, P. A., “Pulsatile pressure and flow in the mesentric vascular bed of the cat” Pflugers Arch. 316 (1970) 14–15.Google Scholar
[3]Macey, R. I., “Pressure flow patterns in a cylinder with reabsorbing walls”, Bull. Math. Biophys. 25 (1963) 1–9.Google Scholar
[4]Macey, R. I. “Hydrodynamics in renal tubules”, Bull. Math. Biophys. 27 (1965) 117–124.CrossRefGoogle Scholar
[5]Manton, M. J., “Low reynolds number flow in slowly varying axisymmetric tubes”, J. Fluid Mech. 49 (1971) 451–459.Google Scholar
[6]Radhakrishnamacharya, G., Chandra, Peeyush and Kaimal, M. R., “A hydrodynamical study of flow in renal tubule”, Bull. Math. Biol. 43 (1981) 151–163.Google Scholar
[7]Rao, A. Ramachandra and Devanathan, Rathna, “Pulsatile flow in tubes of varying crosssection”, Z.A.M. P. 24 (1973) 203–213.Google Scholar
[8]Schneck, D. J. and Ostrach, S., “Pulsatile blood flow in a channel of small exponential divergence-I. The linear approximation for low mean Reynolds number”, J. Fluids Eng. 16 (1975) 353–360.Google Scholar
[9]Weiderheilm, C. H., Woodbury, J. W., Kink, S. and Rushmer, R. F., “Pulsatile pressures in the microcirculation of frog's mesentry”, Amer.J. Physiol. 207 (1969) 173–176.Google Scholar
[10]Womersley, J. R., “Method for calculation of velocity, rate of flow and viscous drag when pressure gradient is known”, J. Physiol. 127 (1955) 553–563.CrossRefGoogle ScholarPubMed
[11]Womersley, J. R., “Oscillatory motion of a viscous liquid in a thin walled elastic tube. I.The linear approximation for long waves”, Phil. Mag. 46 (1955) 199–221.Google Scholar