J Austral Math Soc Ser B 35 pp366--381, 1994.

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

Peeyush Chandra and J. S. V. R. Krishna Prasad

Abstract

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.

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Authors

Peeyush Chandra

J. S. V. R. Krishna Prasad

Department of Mathematics, Indian Institute of Technology, Kanpur, 208016, India.