Batchelor scale (Physics & Chemistry)
From The Encyclopedia of Earth
Physics & Chemistry (main)
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Batchelor scale
March 30, 2010, 12:00 am
December 15, 2011, 8:20 pm
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, ISBN0471269190 (Batchelor scale)
