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The hydrodynamical alpha-effect in a compressible medium

Published online by Cambridge University Press:  26 April 2006

G. A. Khomenko ,
S. S. Moiseev  and
A. V. Tur
G. A. Khomenko
Affiliation:
Space Research Institute, Academy of Sciences, Moscow 117810, USSR
S. S. Moiseev
Affiliation:
Space Research Institute, Academy of Sciences, Moscow 117810, USSR
A. V. Tur
Affiliation:
Space Research Institute, Academy of Sciences, Moscow 117810, USSR
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Abstract

The problem of the interaction of large-scale vortices with small-scale homogeneous isotropic helical turbulence in a compressible medium is considered. Averaged equations are derived using a closure procedure which is based on the functional technique. It is shown that the averaged vorticity equation has solutions that grow exponentially in time and which describe the effect of amplification of large-scale helical vortices by turbulence (hydrodynamical α-effect). The dependence of the growth rate on the compressibility is analysed, the limiting cases of incompressible fluid and turbulence δ-correlated in time being considered. The applications of the hydrodynamical α-effect discussed include the Earth's atmosphere and interstellar gas of spiral galaxies.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 225 , April 1991 , pp. 355 - 369
Copyright
© 1991 Cambridge University Press

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