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Biophysical Journal 6: 717-724 (1966)
© 1966 the Biophysical Society

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A Theory of Fluid Flow in Compliant Tubes

A. C. L. Barnard, W. A. Hunt, W. P. Timlake and E. Varley

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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Copyright © 1966 by the Biophysical Society.