Principles of the motion of fluids

TL;DR

Euler's 1761 publication presents the first derivation of the Euler equations for fluid motion, establishing fundamental principles that underpin classical fluid dynamics.

Contribution

This paper introduces the Euler equations for fluid motion, marking a significant advancement in the theoretical understanding of fluid dynamics.

Findings

Euler equations formulated in three dimensions

First rigorous derivation of fluid motion principles

Published after a nine-year delay

Abstract

This is an English translation of Euler's article "Principia motus fluidorum" in which the Euler equation (in two three dimensions) has been established for the first time in 1752. The actual publication has been delayed by nine years. Finally, this article has been published in 1761 in Novi Commentarii Academiae Scientiarum Petropolitanae.