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 . 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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Received 1 July 1999 and Received in final form 9 November 1999
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Ould-Rouiss, M. Axisymmetric form of Kármán-Howarth equation and its limiting forms. Eur. Phys. J. B 15, 339–347 (2000). https://doi.org/10.1007/PL00011042
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DOI: https://doi.org/10.1007/PL00011042