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Isotropic polarization of compressible flows

Published online by Cambridge University Press:  16 December 2015

Jian-Zhou Zhu
Jian-Zhou Zhu*
Affiliation:
Su-Cheng Centre for Fundamental and Interdisciplinary Sciences, Gaochun, Nanjing 211316, China Life and Chinese Medicine Study Center, Gui Lin Tang Laboratory, Yong’an, Fujian 366025, China
*
†Email address for correspondence: [email protected]
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Abstract

The helical absolute equilibrium of a compressible adiabatic flow presents not only polarization between two purely helical modes of opposite chiralities but also that between vortical and acoustic modes, deviating from the equipartition predicted by Kraichnan (J. Acoust. Soc. Am., vol. 27, 1955, pp. 438–441). Owing to the existence of the acoustic mode, even if all the Fourier modes of one chiral sector in the sharpened Helmholtz decomposition (Moses, SIAM J. Appl. Maths, vol. 21, 1971, pp. 114–130) are thoroughly truncated, leaving the system with positive-definite helicity and energy, negative temperature and the corresponding large-scale concentration of vortical modes are not allowed, unlike in the incompressible case.

JFM classification

Acoustics: Acoustics Turbulent Flows: Compressible turbulence
Type
Papers
Information
Journal of Fluid Mechanics , Volume 787 , 25 January 2016 , pp. 440 - 448
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Copyright
© 2015 Cambridge University Press 

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