Physics & Chemistry:Batchelor scale
Published: March 30, 2010, 12:00 am
Updated: December 15, 2011, 8:20 pm
This article has been reviewed by the following Topic Editor:
C Michael Hogan
The Batchelor scale is a length scale at which the steepening of scalar concentration gradients by the rate–of–strain is balanced by diffusive smoothing. It is defined as:
Image:Img34.png
where υ is the kinematic viscosity of seawater, κ is the molecular diffusivity, and ε is the rate at which turbulent kinetic energy is lost, i.e.
Image:Img38.png
where
Image:Img39.png
is the rate of strain tensor (with units of meter squared/s−3 or W/kg).
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This article is written at a definitional level only. Authors wishing to expand this entry are inivited to expand the present treatment, which additions will be peer reviewed prior to publication of any expansion. |
Further Reading
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Physical Oceanography Index
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Trevor McDougall, Steve Thorpe, and Carl Gibson. Small–scale turbulence and mixing in the ocean: a glossary. In J. Nihoul and B. Jamart, editors, Small–Scale Turbulence and Mixing in the Ocean, pages 3–9. Elsevier, 1987.
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G.K., Batchelor. (1959), Small-scale variation of convected quantities like temperature in turbulent fluid. Part 1. General discussion and the case of small conductivity, Journal of Fluid Mechanics 5: 113–133
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Paul, Edward L.; Atiemo-Obeng, Victor A.; Kresta, Suzanne M. (2004), Handbook of industrial mixing: science and practice (1st ed.), Wiley-IEEE, pp. 49–52, ISBN 0471269190
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Citation
Steve Baum (Lead Author);C Michael Hogan (Topic Editor) "Batchelor scale". In: Encyclopedia of Earth. Eds. Cutler J. Cleveland (Washington, D.C.: Environmental Information Coalition, National Council for Science and the Environment). [First published in the Encyclopedia of Earth March 30, 2010; Last revised Date December 15, 2011; Retrieved May 20, 2013 <http://www.eoearth.org/article/Batchelor_scale?topic=49557>
The Author
Assistant Research Scientist, Physical Section
Department of Oceanography
Texas A&M University ... (Full Bio)
The Batchelor scale is a length scale at which the steepening of scalar concentration gradients by the rate–of–strain is balanced by diffusive smoothing. It is defined as:
Image:Img34.png
where υ is the kinematic viscosity of seawater, κ is the molecular diffusivity, and ε is the rate at which turbulent kinetic energy is lost, i.e.
Image:Img38.png
where
Image:Img39.png
is the rate of strain tensor (with units of meter squared/s−3 or W/kg).
|
This article is written at a definitional level only. Authors wishing to expand this entry are inivited to expand the present treatment, which additions will be peer reviewed prior to publication of any expansion. |
Further Reading
-
Physical Oceanography Index
-
Trevor McDougall, Steve Thorpe, and Carl Gibson. Small–scale turbulence and mixing in the ocean: a glossary. In J. Nihoul and B. Jamart, editors, Small–Scale Turbulence and Mixing in the Ocean, pages 3–9. Elsevier, 1987.
-
G.K., Batchelor. (1959), Small-scale variation of convected quantities like temperature in turbulent fluid. Part 1. General discussion and the case of small conductivity, Journal of Fluid Mechanics 5: 113–133
-
Paul, Edward L.; Atiemo-Obeng, Victor A.; Kresta, Suzanne M. (2004), Handbook of industrial mixing: science and practice (1st ed.), Wiley-IEEE, pp. 49–52, ISBN 0471269190
Are you absolutely sure you want to delete this article? This process cannot be undone and is permanent.
Yes, Delete This Article
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