Abstract
By the direct numerical integration of the complete set of the Navier-Stokes equations, it is found that the minimum kinetic energy dissipation principle, or the Helmholtz principle, is realized in some internal flows of a viscous fluid. Studies are conducted for the Reynolds numbers from 2 to 20. A class of problems where this principle takes place is considered.
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Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 71, No. 12, 2001, pp. 13–15.
Original Russian Text Copyright © 2001 by Lyul’ka.
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Lyul’ka, V.A. On the principle of minimum kinetic energy dissipation in the nonlinear dynamics of viscous fluid. Tech. Phys. 46, 1501–1503 (2001). https://doi.org/10.1134/1.1427982
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DOI: https://doi.org/10.1134/1.1427982