Does the flatness of the velocity derivative blow up at a finite Reynolds number? |
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Authors: | K R Sreenivasan A Bershadskii |
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Institution: | (1) The Abdus Salam International Center for Theoretical Physics, 11, I-34100 Strada Costiera, Trieste, Italy;(2) ICAR, P.O. Box 31155, 91000 Jerusalem, Israel |
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Abstract: | A tentative suggestion is made that the flatness of the velocity derivative could reach an infinite value at finite (though
very large) Reynolds number, with possible implications for the singularities of the Navier—Stokes equations. A direct test
of this suggestion requires measurements at Reynolds numbers presently outside the experimental capacity, so an alternative
suggestion that can be tested at accessible Reynolds numbers is also made. |
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Keywords: | High-Reynolds-number turbulence derivative flatness Navier-Stokes singu-larities |
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