Abstract
In 1742, Euler presented an essay on the “Principles for determining the motion of the blood through arteries”. This is the first known work on the mechanics of flows in elastic tubes, in which Euler applied his equations to analyze the flow of blood through arteries, driven by a piston pump simulating the heart. However, Euler did not recognize the wave nature of his equations, which led him to a dead end on trying to find a closed form solution. Nonetheless, it will be shown that the hemodynamic equations developed by Euler about 275 years ago, still undergird the most advanced numerical methods in use today for blood flow analysis in arterial networks. Therefore, Euler’s pioneering and seminal work in the area of blood flow justifies he be called the father of hemodynamics.
Highlights
In 1742, the Dijon Academy launched its first contest on a subject with the title “To determine the difference in velocities between a liquid that flows through elastic and rigid tubes” (Déterminer la différence des vitesses d’un liquide qui passe par des tuyaux inflexibles et de celui qui passe par des tuyaux élastiques), in which Leonhard Euler (1707-1783) submitted a manuscript with the title Principia pro motu sanguinis per arterias determinando. Truesdell (1955) traces the mishaps of this publication, indicating that: “[∙∙∙] While it was the academy’s principle to retain all manuscripts, the box on whose label 1742 appears contains no memoir earlier than 1765”
It will be shown that the hemodynamic equations developed by Euler about 275 years ago, still undergird the most advanced numerical methods in use today for blood flow analysis in arterial networks
Euler’s pioneering and seminal work in the area of blood flow justifies he be called the father of hemodynamics
Summary
In 1742, the Dijon Academy launched its first contest on a subject with the title “To determine the difference in velocities between a liquid that flows through elastic and rigid tubes” (Déterminer la différence des vitesses d’un liquide qui passe par des tuyaux inflexibles et de celui qui passe par des tuyaux élastiques), in which Leonhard Euler (1707-1783) submitted a manuscript (presumably) with the title Principia pro motu sanguinis per arterias determinando. Truesdell (1955) traces the mishaps of this publication, indicating that: “[∙∙∙] While it was the academy’s principle to retain all manuscripts, the box on whose label 1742 appears contains no memoir earlier than 1765”. In 1742, the Dijon Academy launched its first contest on a subject with the title “To determine the difference in velocities between a liquid that flows through elastic and rigid tubes” (Déterminer la différence des vitesses d’un liquide qui passe par des tuyaux inflexibles et de celui qui passe par des tuyaux élastiques), in which Leonhard Euler (1707-1783) submitted a manuscript (presumably) with the title Principia pro motu sanguinis per arterias determinando. Truesdell (1955) traces the mishaps of this publication, indicating that: “[∙∙∙] While it was the academy’s principle to retain all manuscripts, the box on whose label 1742 appears contains no memoir earlier than 1765”. Principia pro motu sanguinis per arterias determinando appeared in print much later, in 1862, and dated 1775.
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