Borel determinacy theorem - Revision history

66.59.127.60: /* Stronger forms of determinacy */

2014-07-03T17:58:20Z

Stronger forms of determinacy

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	~~In [[fluid dynamics]], '''Görtler vortices''' are secondary flows that appear in a [[boundary layer flow]] along a concave wall~~. ~~If the boundary layer is thin compared to the [[Radius~~ of ~~curvature (mathematics)\|radius of curvature]] of the wall, the pressure remains constant across the boundary layer~~. ~~On the other hand, if the boundary layer thickness~~ is ~~comparable to the radius of curvature,~~ the ~~centrifugal action creates a pressure variation across the boundary layer. This leads to the centrifugal instability (Görtler instability) of the boundary layer and consequent formation~~ of ~~Görtler vortices~~.		A ƅalɑnced diet can asѕist you truly feel positіve and delіghted during thе day. Lots of peoрle eгroneously believe tҺat since they are not heavy they cɑn consume anything they like. TҺiѕ content listеd below is packed with helpful tips about nutrition that will show yoս the necessity of eatіng healthy.<br><br>

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	~~The onset of Görtler vortices can~~ be ~~predicted using~~ the [~~[dimensionless number~~]~~] called '''Görtler number''' ('''G''')~~. ~~It is~~ the ~~ratio~~ of ~~centrifugal effects to the viscous effects~~ in the ~~boundary layer~~ and ~~is defined as~~
	:<~~math~~>
	~~\mathrm{G} = \frac{U_e \theta}{\nu} \left( \frac{\theta}{R} \right)^{1/2}~~
	<~~/math~~>
	~~where~~
	: <~~math~~>~~U_e~~<~~/math~~> ~~= external velocity~~
	: <~~math~~>~~\theta~~<~~/math~~> = [~~[momentum thickness~~]]
	: <~~math~~>~~\nu~~</~~math>~~ = [[~~Viscosity#Kinematic viscosity\|kinematic viscosity~~]]
	: <~~math~~>R<~~/math~~> ~~= radius of curvature~~ of the ~~wall~~

	~~Görtler instability occurs when G exceeds~~, ~~about 0~~.3.

	~~==References==~~
	*{{cite journal \|last=Görtler \|first=H. ~~\|title={{lang\|de\|Dreidimensionales zur Stabilitätstheorie laminarer Grenzschichten}} \|journal=[[Journal~~ of ~~Applied Mathematics~~ and ~~Mechanics]] \|volume=35 \|issue=9–10 \|pages=362–363 \|year=1955 \|doi=10~~.~~1002/zamm~~.~~19550350906 }}~~
	*{{cite journal \|last=Saric \|first=W. S. ~~\|title=Görtler vortices \|journal=[[Annual Review~~ of ~~Fluid Mechanics\|Annu~~. ~~Rev~~. ~~Fluid Mech~~.~~]] \|volume=26 \|issue= \|pages=379–409 \|year=1994 \|doi=10~~.~~1146/annurev~~.fl.26.~~010194~~.~~002115 \|bibcode = 1994AnRFM~~..26..~~379S }}~~

	~~{{NonDimFluMech}}~~

	~~{{DEFAULTSORT:Gortler Vortices}}~~
	~~[[Category:Boundary layers]]~~
	~~[[Category:Dimensionless numbers~~ of ~~fluid mechanics]]~~
	[~~[Category~~:~~Fluid dynamics]~~]

en>Storkk: Fixing reference ISBN... You can help!

2013-02-07T14:30:16Z

Fixing reference ISBN... You can help!

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			==Görtler number==
			The onset of Görtler vortices can be predicted using the [[dimensionless number]] called '''Görtler number''' ('''G'''). It is the ratio of centrifugal effects to the viscous effects in the boundary layer and is defined as
			:<math>
			\mathrm{G} = \frac{U_e \theta}{\nu} \left( \frac{\theta}{R} \right)^{1/2}
			</math>
			where
			: <math>U_e</math> = external velocity
			: <math>\theta</math> = [[momentum thickness]]
			: <math>\nu</math> = [[Viscosity#Kinematic viscosity\|kinematic viscosity]]
			: <math>R</math> = radius of curvature of the wall

			Görtler instability occurs when G exceeds, about 0.3.

			==References==
			*{{cite journal \|last=Görtler \|first=H. \|title={{lang\|de\|Dreidimensionales zur Stabilitätstheorie laminarer Grenzschichten}} \|journal=[[Journal of Applied Mathematics and Mechanics]] \|volume=35 \|issue=9–10 \|pages=362–363 \|year=1955 \|doi=10.1002/zamm.19550350906 }}
			*{{cite journal \|last=Saric \|first=W. S. \|title=Görtler vortices \|journal=[[Annual Review of Fluid Mechanics\|Annu. Rev. Fluid Mech.]] \|volume=26 \|issue= \|pages=379–409 \|year=1994 \|doi=10.1146/annurev.fl.26.010194.002115 \|bibcode = 1994AnRFM..26..379S }}

			{{NonDimFluMech}}

			{{DEFAULTSORT:Gortler Vortices}}
			[[Category:Boundary layers]]
			[[Category:Dimensionless numbers of fluid mechanics]]
			[[Category:Fluid dynamics]]

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