Dear colleagues,
I need your help. The law of energy conservation in fluid dynamics is associated with Bernoulli equation or, in more general case, with Lagrange-Cauchy equation. I am interesting in the paper were this association was first declared. It is not Bernoulli own thesis, since the law was formulated in the middle of XIX c. I would like to know first arguments and definition of energy of the pressure term in the equation. As far as I know, Rayleigh was first who noted energy of pressure in fluid in his paper "On waves" (1876). But he did not give any definition what is the energy and how it has to be calculated. I am interesting in first definition.
The mathematical basis for Bernoulli equation for energy conservation - Article The Cauchy-Lagrangian method for numerical analysis of Euler flow
Thank you for for the reference, but my question was "Who first" but not "what is"
Thank you, but the law of energy conservation was formulated in the middle of 19th century. This is much later than Euler
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