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. 1966 Nov;6(6):717-24.
doi: 10.1016/S0006-3495(66)86690-0.

A theory of fluid flow in compliant tubes

A C Barnard, W A Hunt, W P Timlake, E Varley

A theory of fluid flow in compliant tubes

A C Barnard et al. Biophys J. 1966 Nov.

Abstract

Starting with the Navier-Stokes equations, a system of equations is obtained to describe quasi-one-dimensional behavior of fluid in a compliant tube. The nonlinear terms which cannot be shown to be small in the original equations are retained, and the resulting equations are nonlinear. A functional pressure-area relationship is postulated and the final set of equations are quasi-linear and hyperbolic, with two independent and two dependent variables. A method of numerical solution of the set of equations is indicated, and the application to cases of interest is discussed.

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References

    1. Biophys J. 1966 Nov;6(6):725-33 - PubMed
    1. Circ Res. 1954 Mar;2(2):127-39 - PubMed