# A classical mistake and what it tells us. How to do better with an action principle for Hydro and Thermodynamics

@article{Frnsdal2018ACM, title={A classical mistake and what it tells us. How to do better with an action principle for Hydro and Thermodynamics}, author={Christian Fr{\o}nsdal}, journal={arXiv: General Physics}, year={2018} }

Rayleigh's stability analysis of cylindrical Couette flow, of 1889 and 1916, is in contradiction with observation. The analysis is repeated in many textbooks and reviews up to 2017, and its failure to agree with observation was duly noted. More successful approaches have been found, but little was done to discover the weak point of Rayleigh's argument, what is the reason that it fails. This paper identifies the mistake as one that is endemic in the literature. Since the physics of the problem…

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