A note on the velocity derivative flatness factor in decaying HIT

Abstract : We develop an analytical expression for the velocity derivative flatness factor, F, in decaying homogenous and isotropic turbulence (HIT) starting with the transport equation of the third-order moment of the velocity increment and assuming self-preservation. This expression, fully consistent with the Navier-Stokes equations, relates F to the product between the second-order pressure derivative (partial derivative(2)p/partial derivative x(2)) and second-order moment of the longitudinal velocity derivative ((partial derivative u/partial derivative x)(2)), highlighting the role the pressure plays in the scaling of the fourth-order moment of the longitudinal velocity derivative. It is also shown that F has an upper bound which follows the integral of k*E-4(p)*(k*) where E-p and k are the pressure spectrum and the wavenumber, respectively (the symbol * represents the Kolmogorov normalization). Direct numerical simulations of forced HIT suggest that this integral converges toward a constant as the Reynolds number increases. Published by AIP Publishing.
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Physics of Fluids, American Institute of Physics, 2017, 29 (5), pp.051702. 〈10.1063/1.4983724〉
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Contributeur : Alexandre Poux <>
Soumis le : jeudi 5 octobre 2017 - 15:34:51
Dernière modification le : mardi 5 juin 2018 - 10:14:20

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L. Djenidi, L. Danaila, R. A. Antonia, S. Tang. A note on the velocity derivative flatness factor in decaying HIT. Physics of Fluids, American Institute of Physics, 2017, 29 (5), pp.051702. 〈10.1063/1.4983724〉. 〈hal-01611167〉

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