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Axisymmetric form of Kármán-Howarth equation and its limiting forms

Abstract : Kinematics and dynamics of homogeneous axisymmetric turbulence have been derived with the assumption that the properties of the turbulence are invariant with respect to rotation about a preferred direction λ. In particular, the "axisymmetric" equivalent of Karman-Howarth "isotropic" equation is derived using Lindborg's representation of the two-point correlation tensors of homogeneous axisymmetric turbulence. When the more constraining assumption of isotropy is made, this equation reduces to the well-known Karman-Howarth equation. There are two interesting limiting forms of the axisymmetric Karman-Howarth equation: the axisymmetric form of the energy balance equation and the axisymmetric form of the vorticity balance equation.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00734792
Contributor : M. Ould-Rouiss <>
Submitted on : Monday, September 24, 2012 - 3:14:46 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:07 PM

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  • HAL Id : hal-00734792, version 1

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Meryem Ould-Rouiss. Axisymmetric form of Kármán-Howarth equation and its limiting forms. European Physical Journal B: Condensed Matter and Complex Systems, Springer-Verlag, 2000, 15 (2), pp.339 - 347. ⟨hal-00734792⟩

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