The flow of a viscous fluid in an elastic tube: A model of the femoral artery

Abstract

The solutions of the classical differential equations for flow of a viscous fluid in an elastic tube are shown to yield a description of some aspects of the flow of blood in the femoral artery. The parameters influencing the speed of the pulse wave, the pressure, and the velocity for non-pulsating and pulsating flow are exhibited. The relation between pressure and velocity are considered in some detail. It is shown that for pulsating flow the slope of the pressure versus fluid velocity curve is equal to the pulse wave speed multiplied by the density of the blood.

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Branson, H. The flow of a viscous fluid in an elastic tube: A model of the femoral artery. Bulletin of Mathematical Biophysics 7, 181–188 (1945). https://doi.org/10.1007/BF02478423

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Keywords

  • Femoral Artery
  • Viscous Fluid
  • Pulse Velocity
  • Pulsate Flow
  • Mathematical Biophysics