Strong effect of weak diffusion on scalar turbulence at large scales

M. Chertkov; I. Kolokolov; V. Lebedev

doi:10.1063/1.2793145

Strong effect of weak diffusion on scalar turbulence at large scales

M. Chertkov
, I. Kolokolov
, V. Lebedev

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Passive scalar turbulence forced steadily is characterized by the velocity correlation scale L, injection scale l, and diffusive scale r_d. The scales are well separated if the diffusivity is small, r_d≪l,L, and one normally says that effects of diffusion are confined to smaller scales, r≪r_d. However, if the velocity is single scale, one finds that a weak dependence of the scalar correlations on the molecular diffusivity persists to even larger scales, e.g., l≫r≫r_d (E. Balkovsky , Pis'ma Zh. Eksp. Teor. Fiz. 61, 1012 (1995) [JETP Lett. 61, 1049 (1995)]). We consider the case of L≫l and report a counterintuitive result, namely the emergence of a new range of large scales, L≫;r≫l²/ r_d, where the diffusivity shows a strong effect on scalar correlations.

Original language	English (US)
Article number	101703
Journal	Physics of Fluids
Volume	19
Issue number	10
DOIs	https://doi.org/10.1063/1.2793145
State	Published - Oct 2007
Externally published	Yes

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.2793145

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title = "Strong effect of weak diffusion on scalar turbulence at large scales",

abstract = "Passive scalar turbulence forced steadily is characterized by the velocity correlation scale L, injection scale l, and diffusive scale rd. The scales are well separated if the diffusivity is small, rd≪l,L, and one normally says that effects of diffusion are confined to smaller scales, r≪rd. However, if the velocity is single scale, one finds that a weak dependence of the scalar correlations on the molecular diffusivity persists to even larger scales, e.g., l≫r≫rd (E. Balkovsky , Pis'ma Zh. Eksp. Teor. Fiz. 61, 1012 (1995) [JETP Lett. 61, 1049 (1995)]). We consider the case of L≫l and report a counterintuitive result, namely the emergence of a new range of large scales, L≫;r≫l2/ rd, where the diffusivity shows a strong effect on scalar correlations.",

author = "M. Chertkov and I. Kolokolov and V. Lebedev",

note = "Funding Information: The work at Los Alamos National Laboratory was carried out under the auspices of the National Nuclear Security Administration of the U.S. Department of Energy under Contract No. DE-AC52-06NA25396. I.K. and V.L. also acknowledge partial support of the RFBR Grant No. 06-02-17408-a.",

year = "2007",

month = oct,

doi = "10.1063/1.2793145",

language = "English (US)",

volume = "19",

journal = "Physics of Fluids",

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publisher = "American Institute of Physics",

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TY - JOUR

T1 - Strong effect of weak diffusion on scalar turbulence at large scales

AU - Chertkov, M.

AU - Kolokolov, I.

AU - Lebedev, V.

N1 - Funding Information: The work at Los Alamos National Laboratory was carried out under the auspices of the National Nuclear Security Administration of the U.S. Department of Energy under Contract No. DE-AC52-06NA25396. I.K. and V.L. also acknowledge partial support of the RFBR Grant No. 06-02-17408-a.

PY - 2007/10

Y1 - 2007/10

N2 - Passive scalar turbulence forced steadily is characterized by the velocity correlation scale L, injection scale l, and diffusive scale rd. The scales are well separated if the diffusivity is small, rd≪l,L, and one normally says that effects of diffusion are confined to smaller scales, r≪rd. However, if the velocity is single scale, one finds that a weak dependence of the scalar correlations on the molecular diffusivity persists to even larger scales, e.g., l≫r≫rd (E. Balkovsky , Pis'ma Zh. Eksp. Teor. Fiz. 61, 1012 (1995) [JETP Lett. 61, 1049 (1995)]). We consider the case of L≫l and report a counterintuitive result, namely the emergence of a new range of large scales, L≫;r≫l2/ rd, where the diffusivity shows a strong effect on scalar correlations.

AB - Passive scalar turbulence forced steadily is characterized by the velocity correlation scale L, injection scale l, and diffusive scale rd. The scales are well separated if the diffusivity is small, rd≪l,L, and one normally says that effects of diffusion are confined to smaller scales, r≪rd. However, if the velocity is single scale, one finds that a weak dependence of the scalar correlations on the molecular diffusivity persists to even larger scales, e.g., l≫r≫rd (E. Balkovsky , Pis'ma Zh. Eksp. Teor. Fiz. 61, 1012 (1995) [JETP Lett. 61, 1049 (1995)]). We consider the case of L≫l and report a counterintuitive result, namely the emergence of a new range of large scales, L≫;r≫l2/ rd, where the diffusivity shows a strong effect on scalar correlations.

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VL - 19

JO - Physics of Fluids

JF - Physics of Fluids

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Strong effect of weak diffusion on scalar turbulence at large scales

Abstract

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