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Turbulent fluxes of entropy and internal energy in temperature stratified flows
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Ben-Gurion University of the Negev, Israel.ORCID iD: 0000-0001-7308-4768
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Ben-Gurion University of the Negev, Israel.
Number of Authors: 22015 (English)In: Journal of Plasma Physics, ISSN 0022-3778, E-ISSN 1469-7807, Vol. 81, article id 395810504Article in journal (Refereed) Published
Abstract [en]

We derive equations for the mean entropy and the mean internal energy in low-Mach-number temperature stratified turbulence (i.e. for turbulent convection or stably stratified turbulence), and show that turbulent flux of entropy is given by F-s = (rho) over bar(us) over bar, where (rho) over bar is the mean fluid density, s is fluctuation of entropy and overbars denote averaging over an ensemble of turbulent velocity fields, u. We demonstrate that the turbulent flux of entropy is different from the turbulent convective flux, F-c = (T) over bar(rho) over bar(us) over bar, of the fluid internal energy, where (T) over bar is the mean fluid temperature. This turbulent convective flux is well-known in the astrophysical and geophysical literature, and it cannot be used as a turbulent flux in the equation for the mean entropy. This result is exact for low-Mach-number temperature stratified turbulence and is independent of the model used. We also derive equations for the velocity-entropy correlation, (us) over bar, in the limits of small and large Peclet numbers, using the quasi-linear approach and the spectral tau approximation, respectively. This study is important in view of different applications to astrophysical and geophysical temperature stratified turbulence.

Place, publisher, year, edition, pages
2015. Vol. 81, article id 395810504
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-176181DOI: 10.1017/S0022377815000963ISI: 000367573800044OAI: oai:DiVA.org:su-176181DiVA, id: diva2:1373858
Available from: 2019-11-28 Created: 2019-11-28 Last updated: 2019-11-28Bibliographically approved

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