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Open AccessJournal ArticleDOI

Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known

J. R. Womersley
- 28 Mar 1955 - 
- Vol. 127, Iss: 3, pp 553-563
TLDR
The experiments of McDonald and his co-workers have shown that in the larger arteries of the rabbit and the dog there is a reversal of the flow, and the simple mathematical treatment has strong similarities with the theory of the distribution of alternating current in a conductor of finite size.
Abstract
The experiments of McDonald and his co-workers (McDonald, 1952, 1955; Helps & McDonald, 1953) have shown that in the larger arteries of the rabbit and the dog there is a reversal of the flow. Measurements of the pressure gradient (Helps & McDonald, 1953) showed a phase-lag between pressure gradient and flow somewhat analogous with the phase-lag between voltage and current in a conductor carrying alternating current, and the simple mathematical treatment given below has strong similarities with the theory of the distribution of alternating current in a conductor of finite size.

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Citations
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Lattice boltzmann model for the incompressible navier-stokes equation

TL;DR: Numerical results of simulations of the plane Poiseuille flow driven either by pressure gradient or a fixed velocity profile at entrance as well as of the 2D Womersley flow are presented and are found to be in excellent agreement with theory.
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References
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Journal ArticleDOI

The relation of pulsatile pressure to flow in arteries.

TL;DR: General agreement between observed and calculated flow curves has been found and so establishes the validity of the theoretical derivation based on general hydrodynamic principles and also justifies the method of recording flows.
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