en>McGeddon: Filling in 6 references using Reflinks, explain 15-puzzle and drop irrelevant "often wrongly attributed"

2013-09-27T10:43:04Z

Filling in 6 references using Reflinks, explain 15-puzzle and drop irrelevant "often wrongly attributed"

← Older revision		Revision as of 12:43, 27 September 2013
Line 1:		Line 1:
	~~Costume jewelry can often anticipate problems with the best~~ [~~http://En~~.~~Search~~.~~wordpress~~.~~com/?q~~=~~dressed+dog dressed dog] If you loved this article therefore you would~~ like to ~~get more info with regards to [http~~:~~//Global~~.~~theknot~~.~~com/SitePreview/Default~~.~~aspx?externalurl~~=~~http~~://~~alicehalloweencostume~~.~~net Party Costumes~~] ~~generously visit our own page~~. !		The '''Batchelor Scale''', determined by [[George Batchelor]] (1954),<ref>{{Citation
			\| last1 = G.K. \| first1 = Batchelor.
			\| title = Small-scale variation of convected quantities like temperature in turbulent fluid. Part 1. General discussion and the case of small conductivity
			\| journal = Journal of Fluid Mechanics
			\| year = 1959
			\| volume = 5
			\| pages = 113–133 }}</ref> describes the size of a droplet of scalar that will diffuse in the same time it takes the energy in an eddy of size η to dissipate. The Batchelor scale can be determined by:<ref>{{Citation
			\| last1 = Paul \| first1 = Edward L.
			\| last2 = Atiemo-Obeng \| first2 = Victor A.
			\| last3 = Kresta \| first3 = Suzanne M.
			\| title = Handbook of industrial mixing: science and practice
			\| edition = 1st
			\| publisher = Wiley-IEEE
			\| year = 2004
			\| pages = 49–52
			\| isbn = 0-471-26919-0 }}</ref>

			<math>\lambda_B=\left( \frac{ \eta }{Sc^{1/2}} \right) = \left( \frac{\nu{}D^2}{\epsilon} \right)^\frac{1}{4} </math>

			where:
			*Sc is the [[Schmidt number]].
			*ν is the [[kinematic viscosity]].
			*D is the [[mass diffusivity]].
			*ε is the rate of dissipation of turbulent kinetic energy.

			Similar to the [[Kolmogorov microscales]], which describe the smallest scales of turbulence before viscosity dominates; the Batchelor scale describes the smallest length scales of fluctuations in scalar concentration that can exist before being dominated by [[molecular diffusion]]. It is important to note that for Sc>1, which is common in many liquid flows, the Batchelor scale is small when compared to the [[Kolmogorov microscales]]. This means that scalar transport occurs at scales smaller than the smallest eddy size.

			==See also==
			*[[Schmidt number]]
			*[[Kolmogorov microscales]]
			*[[molecular diffusion]]

			==References==
			{{Reflist}}

			{{DEFAULTSORT:Batchelor Scale}}
			[[Category:Fluid dynamics]]
			[[Category:Turbulence]]

209.226.25.125: Fixed a wrong claim about the unlabeled problem.

2012-07-22T16:00:54Z

Fixed a wrong claim about the unlabeled problem.

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Pebble motion problems - Revision history

en>McGeddon: Filling in 6 references using Reflinks, explain 15-puzzle and drop irrelevant "often wrongly attributed"

209.226.25.125: Fixed a wrong claim about the unlabeled problem.