On the propagation of a disturbance through a viscous liquid flowing in a distensible tube of appreciable mass |
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Authors: | Jacobs Robert B |
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Institution: | (1) National Bureau of Standards, Boulder, Colorado |
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Abstract: | The velocity of propagation of a disturbance wave in a liquid flowing in a distensible tube is computed. The mathematical
model is more general than those used in previous analyses: the tube wall properties are realistic; the convective part of
the axial inertia forces is taken into account; radial inertia forces of both the fluid and tube wall are present; viscous
stresses are present.
Four parameters influencing the velocity of propagation are obtained and discussed. Curves are plotted illustrating the effects
of the parameters. Contrary to the results of previous analyses, viscous effects are shown to be appreciable in blood flow.
It is also shown that radial inertia effects can be important in laboratory set-ups.
The material presented in this paper was adapted from the Ph.D. thesis written by the author at Harvard University. |
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