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Compressibility effects in turbulent transport of the temperature field
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).ORCID iD: 0000-0002-5744-1160
Number of Authors: 22021 (English)In: Physical review. E, ISSN 2470-0045, E-ISSN 2470-0053, Vol. 103, no 1, article id 013107Article in journal (Refereed) Published
Abstract [en]

Compressibility effects in a turbulent transport of temperature field are investigated by applying the quasilinear approach for small Péclet numbers and the spectral τ approach for large Péclet numbers. The compressibility of a fluid flow reduces the turbulent diffusivity of the mean temperature field similarly to that for the particle number density and magnetic field. However, expressions for the turbulent diffusion coefficient for the mean temperature field in a compressible turbulence are different from those for the mean particle number density and the mean magnetic field. The combined effect of compressibility and inhomogeneity of turbulence causes an increase of the mean temperature in the regions with more intense velocity fluctuations due to a turbulent pumping. Formally, this effect is similar to a phenomenon of compressible turbophoresis found previously [J. Plasma Phys. 84, 735840502 (2018)] for noninertial particles or gaseous admixtures. The gradient of the mean fluid pressure results in an additional turbulent pumping of the mean temperature field. The latter effect is similar to the turbulent barodiffusion of particles and gaseous admixtures. The compressibility of a fluid flow also causes a turbulent cooling of the surrounding fluid due to an additional sink term in the equation for the mean temperature field. There is no analog of this effect for particles.

Place, publisher, year, edition, pages
2021. Vol. 103, no 1, article id 013107
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Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-191696DOI: 10.1103/PhysRevE.103.013107ISI: 000608619900019PubMedID: 33601522OAI: oai:DiVA.org:su-191696DiVA, id: diva2:1541315
Available from: 2021-03-31 Created: 2021-03-31 Last updated: 2022-02-25Bibliographically approved

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Rogachevskii, IgorKleeorin, Nathan

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