Abstract
Analysis of a simplified equation derived previously for small-scale velocity components shows that any turbulent flow of an incompressible liquid becomes unstable against infinitesimal perturbations of small-scale velocity components if the strain rate tensor for the large-scale velocity is high. Such a statement comes into conflict with the classical stability theory, which specifically asserts that the Poiseuille flow in a circular tube is linearly stable against infinitesimal perturbations.
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References
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Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 75, No. 2, 2005, pp. 124–125.
Original Russian Text Copyright © 2005 by Balonishnikov.
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Balonishnikov, A.M. Small-scale-velocity-induced linear instability of large-scale turbulent flows. Tech. Phys. 50, 262–263 (2005). https://doi.org/10.1134/1.1866445
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DOI: https://doi.org/10.1134/1.1866445