Flow through collapsible tubes at high Reynolds numbers

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Abstract

The pressure-flow relationships of collapsible tubes were studied utilizing the Starling resistor model. Reynolds numbers much higher than previously reported were used to simulate high cardiac output states. Alterations which occur in vivo, including longitudinal tension, stretch, tubing diameter, length, and outflow resistance were also simulated and systematically investigated. The pressure-flow curves showed an initial rising phase, a plateau phase, as well as a late-rising phase which has not been reported previously. Self induced oscillations occurred during the plateau phase and persisted throughout the late-rising phase. These perturbations were markedly increased by longitudinal tension and stretch, but were attenuated by increased diameter, length, and outflow pressure. These instabilities may prove to be an explanation for the 'venous hum'.

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Lyon, C. K., Scott, J. B., Anderson, D. K., & Wang, C. Y. (1981). Flow through collapsible tubes at high Reynolds numbers. Circulation Research, 49(4), 988–996. https://doi.org/10.1161/01.RES.49.4.988

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