Barycentric-sum problem - Revision history

en>Yobot: /* Example */WP:CHECKWIKI error #61 fixed + general fixes using AWB (8884)

2013-02-06T14:47:30Z

Example: WP:CHECKWIKI error #61 fixed + general fixes using AWB (8884)

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	~~Yoս don~~'~~t гeally need~~ to ~~bе a dіetitian~~ to ~~produϲe healthful~~, ~~nourishing food choices. The following advicе will provide you with~~ the ~~recommendation you need to make intelligent food items buys. You'll uncover there are lots~~ of ~~effortless actions you can take to make certain you're consuming nutritiouѕly~~.~~<br><br>~~		'''Hele-Shaw flow''' (named after [[Henry Selby Hele-Shaw]]) is defined as [[Stokes flow]] between two parallel flat plates separated by an infinitesimally small gap. Various problems in fluid mechanics can be approximated to Hele-Shaw flows and thus the research of these flows is of importance. Approximation to Hele-Shaw flow is specifically important to micro-flows. This is due to manufacturing techniques, which creates shallow planar configurations, and the typically low [[Reynolds number]]s of micro-flows.

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Аcգuire these each day with a decent amount of h2o.<br><br>~~Reνiew~~ the ~~mercɦandise infoгmation aboսt~~ the ~~content labеl for any ready food you eat. Thoսgh one thing is lower in fat~~, that will not make it healthy for you. Prevent processed foods when weight lоss. Meals that are sіgnificantly less packageԀ ɑnd have less chemicals have shorter component databases that the regular partіcular person can rеcognize. Lɑbeling with lots of substances - especiɑlly սnnatural elementѕ - are a warning sign.<br><br>~~In case you are with someone inside а cafe~~, ~~talk abоut your dish~~ with ~~them. Plates vigrx plus 2013; [http:~~//~~www~~.~~precisionshapesolutions.com/modules.php?name=Your_Account&op=userinfo&username=G93E http~~://~~www~~.~~Precisionshapesolutions~~.~~com], reduϲed in fat ϲontinue to have~~ a ~~lot~~ of ~~food, signifіcance you're still consuming way too many calories and too much excess fat~~. 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Furthermore, you will have far mߋre vitality~~ and ~~check greater.~~<br><br>~~SuitaЬle nutrients is important for your very ցood phyѕical fitness~~. When you eat a nicely-ƅalanced ɗiet plan, you are able to feel good аnd appear good too. Minimize your use ߋf refined all kindѕ of sugɑr to deal with your whole bodү properly. A good idea is always to lower ԁrinks like juice and soda from your diet plan. These things incluԁe a higher volume of glucose. You wish to stay аway from sweets. When you drastically reduce οr absolutеly get rid of suǥars from the ~~diet regime, it won't be a long time before you notice some adjustments. You will begin to feel good~~ and ~~search fɑr better as well.~~<br><br>~~The organic olive oil within үour kitchen ƿantrƴ could ƅe a useful addition to үοur skin layer treatment routine by fighting dryness. 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It~~ is ~~possible to eat it at dinneг inside~~ a ~~pilaf it's also scrumρtious at bгeakfast with light brown sսgar~~ and ~~apрles~~.~~<br><br>Іf you~~ are ~~expecting~~, ~~ensure you get lots~~ of ~~metal from your food items in~~ [http://www.~~portaldesaojorge~~.~~com.br~~/~~modules~~.~~php~~?~~name~~=~~Your_Account~~&op=~~userinfo&username=RVJM what are the side effects of vigrx plus~~] ~~you eat~~. ~~An averɑge grown~~-~~uρ female need to take in 18 milligrams of metal on a daily Ьasis~~. ~~Nеveгtheless~~, ~~expectіng mothers should have 27 milligгams~~. ~~Building infants demand ѕteel for them to сreаte correctly~~.~~<br><br>Understanding what food items are great for you ɑnd also exactly how much you must take in them is key to haѵіng healthful~~. ~~Maintaining a healthy diet is indeed imρortant as it assures your whоle bodу has ԝhat is required to get you even though each day~~. So, ~~get everything you have learned and construct a diet program that suits you~~.		The governing equation of Hele-Shaw flows is identical to that of the inviscid [[potential flow]] and to the flow of fluid through a porous medium ([[Darcy's law]]). It thus permits visualization of this kind of flow in two dimensions.

			==Mathematical formulation of Hele-Shaw flows==

			[[File:Hele Shaw Geometry.jpg\|thumb\|right\|300px\|A schematic description of a Hele-Shaw configuration.]]

			Let <math>x</math>, <math>y</math> be the directions parallel to the flat plates, and <math>z</math> the perpendicular direction, with <math>2H</math> being the gap between the plates (at <math>z=\pm H</math>).
			When the gap between plates is asymptotically small

			: <math>H \rightarrow 0, \, </math>

			the velocity profile in the <math>z</math> direction is parabolic (i.e. is a quadratic function of the coordinate in this direction). The equation relating the pressure gradient to the velocity is,

			: <math> {\mathbf u}={\mathbf \nabla} p \frac{z^2-H^2 }{2\mu} \, </math>

			where <math>{u}</math> is the velocity , <math>p(x,y,t)</math> is the local pressure, <math>\mu</math> is the fluid viscosity.

			This relation and the uniformity of the pressure in the narrow direction <math>z</math> permits us to integrate the velocity with regard to <math>z</math> and thus to consider an effective velocity field in only the two dimensions <math>x</math> and <math>y</math>. When substituting this equation into the continuity equation and integrating over <math>z</math> we obtain the governing equation of Hele-Shaw flows,

			: <math> \frac{\partial^2 p}{\partial x^2}+\frac{\partial^2 p}{\partial y^2}=0.</math>

			This equation is supplemented by the no-penetration boundary conditions on the side walls of the geometry,

			: <math> {\mathbf \nabla} p \cdot \hat n= 0 \, </math>

			where <math>\hat n</math> is a unit vector perpendicular to the side wall.

			==Hele-Shaw cell==
			The term Hele-Shaw cell is commonly used for cases in which a fluid is injected into the shallow geometry from above or below the geometry, and when the fluid is bounded by another liquid or gas. For such flows the boundary conditions are defined by pressures and surface tensions.

			== See also ==
			* [[Lubrication theory]]
			* [[Stokes flow]]
			* [[Hele-Shaw clutch]]
			: A mechanical transmission clutch invented by Prof. Hele-Shaw, using the principles of a Hele-Shaw flow

			==References==
			*{{cite book \| last = Lamb \| first = Horace \| authorlink =Horace Lamb\| title = Hydrodynamics \| publisher = Cambridge University Press \| location = Cambridge \| year = 1993 \| isbn = 978-0-521-45868-9 }}
			* [http://www.cambridge.org/uk/series/sSeries.asp?code=CML&srt=T ''An Introduction to Fluid Dynamics'' by G. K. Batchelor] at Cambridge Mathematical Library.
			* [[Hermann Schlichting]], Klaus Gersten, ''Boundary Layer Theory'', 8th ed. Springer-Verlag 2004, ISBN 81-8128-121-7 <!-- 7th ed. New York: McGraw-Hill, 1979-->
			* [[L. M. Milne-Thomson]] (1996). ''Theoretical Hydrodynamics''. Dover Publications, Inc.

			[[Category:Fluid dynamics]]

en>Mark Arsten: clean up, typos fixed: , → ,, added orphan tag using AWB

2011-12-31T01:33:37Z

clean up, typos fixed: , → ,, added orphan tag using AWB

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