Large Amplitude Pulsatile Water Flow Across an Orifice

[+] Author and Article Information
E. L. Yellin

Albert Einstein College of Medicine, Bronx, N.Y.

C. S. Peskin

Courant Institute of Mathematical Sciences, New York University, N.Y.

J. Dyn. Sys., Meas., Control 97(1), 92-95 (Mar 01, 1975) (4 pages) doi:10.1115/1.3426879 History: Received August 09, 1974; Online July 13, 2010


The pressure-flow relations of large amplitude pulsatile water flows across an orifice have been investigated theoretically and experimentally. By retaining the unsteady term in the one-dimensional equation of motion, and by allowing the jet area to be a function of distance in the continuity equation, a lumped parameter relationship between pressure drop and flow has been developed which reflects the influence of inertia and dissipation. The results are applicable to the analysis of natural and prosthetic heart valves under normal and pathologic conditions. Within the physiologically possible conditions of frequency and flow rate, unsteady separated flows exhibit the same energy losses as comparable steady separated flows. Thus, the flow is quasi-steady, even when the waveforms and temporal relations indicate a significant inertial influence.

Copyright © 1975 by ASME
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