Defining the principles for the motion of blood through arteries
Abstract
This is an annotated translation from Latin of 'Principia pro motu sanguinis per arterias determinando' in which Euler develops the first known work on the mechanics of flows in elastic tubes, intended to the first contest of the Dijon Academy of 1742. In this work, Euler applied the principles of mass conservation and momentum conservation to the one dimensional flow of an incompressible fluid through an elastic tube driven by a piston pump. These would allow the analytical treatment of circulatory physiology and hemodynamics, which still undergird the most advanced numerical methods in use today for blood flow analysis in arterial networks.
Keywords
Cite
@article{arxiv.1802.02496,
title = {Defining the principles for the motion of blood through arteries},
author = {Sylvio R. Bistafa},
journal= {arXiv preprint arXiv:1802.02496},
year = {2018}
}
Comments
Euler's original manuscripts can be found in the 'The Euler Archive' at http://eulerarchive.maa.org/