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Critical balance in magnetohydrodynamic, rotating and stratified turbulence : towards a universal scaling conjecture
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Nazarenko, Sergey and Schekochihin, Alexander A. (2011) Critical balance in magnetohydrodynamic, rotating and stratified turbulence : towards a universal scaling conjecture. Journal of Fluid Mechanics, Vol.677 . pp. 134-153. doi:10.1017/S002211201100067X
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Official URL: http://dx.doi.org/10.1017/S002211201100067X
Abstract
It is proposed that critical balance - a scale-by-scale balance between the linear propagation and nonlinear interaction time scales - can be used as a universal scaling conjecture for determining the spectra of strong turbulence in anisotropic wave systems. Magnetohydrodynamic (MHD), rotating and stratified turbulence are considered under this assumption and, in particular, a novel and experimentally testable energy cascade scenario and a set of scalings of the spectra are proposed for low-Rossby-number rotating turbulence. It is argued that in neutral fluids the critically balanced anisotropic cascade provides a natural path from strong anisotropy at large scales to isotropic Kolmogorov turbulence at very small scales. It is also argued that the k(perpendicular to)(-2) spectra seen in recent numerical simulations of low-Rossby-number rotating turbulence may be analogous to the k(perpendicular to)(-3/2) spectra of the numerical MHD turbulence in the sense that they could be explained by assuming that fluctuations are polarised (aligned) approximately as inertial waves (Alfven waves for MHD).
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Magnetohydrodynamics, Turbulence | ||||
| Journal or Publication Title: | Journal of Fluid Mechanics | ||||
| Publisher: | Cambridge University Press | ||||
| ISSN: | 0022-1120 | ||||
| Official Date: | June 2011 | ||||
| Dates: |
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| Volume: | Vol.677 | ||||
| Page Range: | pp. 134-153 | ||||
| DOI: | 10.1017/S002211201100067X | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | Science and Technology Facilities Council (Great Britain) (STFC), Leverhulme Trust (LT) |
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