A simple model for the two dimensional blood flow in the collapse of veins |
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Authors: | KW Chow CC Mak |
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Institution: | (1) Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong |
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Abstract: | Veins in the cardiovascular system may collapse if the internal pressure is less than the external pressure. Such collapse
or buckling will have important consequence in terms of the rate of blood flow. Here a steady, parallel unidirectional flow
as an exact solution of the continuity and the Navier Stokes equations is constructed. Various stages of the deformation process
of the elastic tube (before contact of opposite sides occurring), from an ellipse to a `strongly buckled' configuration, are
obtained in analytical forms as a by-product of the calculations. The pressure – area and the pressure – flow rate diagrams
computed numerically from the model agree with the trends measured experimentally.
Partial Financial Support has been provided by the Research Grants Council Contract HKU 7184/04E. |
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Keywords: | Blood flow in veins Flows in collapsible tubes |
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