Flow through collapsible tubes at low Reynolds numbers. Applicability of the waterfall model

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Abstract

The applicability of the waterfall model was tested using the Starling resistor and different viscosities of fluids to vary the Reynolds number. The waterfall model proved adequate to describe flow in the Starling resistor model only at very low Reynolds numbers (Reynolds number <1). Blood flow characterized by such low Reynolds numbers occurs only in the microvasculature. Thus, it is inappropriate to apply the waterfall model indiscriminately to flow through large collapsible veins.

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Lyon, C. K., Scott, J. B., & Wang, C. Y. (1980). Flow through collapsible tubes at low Reynolds numbers. Applicability of the waterfall model. Circulation Research, 47(1), 68–73. https://doi.org/10.1161/01.RES.47.1.68

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