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| The '''Rankine vortex''' is a model of a [[vortex]] in a [[Viscosity|viscous]] fluid. A swirling flow in a viscous fluid can be characterized by a [[Vortex#Forced (rotational) vortex|forced vortex]] in its central core, surrounded by a [[free vortex]]. On the other hand, in an inviscid fluid the flow consists entirely of the free vortex with an infinite velocity at its center replacing the low velocity core. The tangential velocity<ref>{{cite book
| | I am Oscar and I totally dig that title. One of the things he enjoys most is ice skating but he is having difficulties to find time for it. Years in the past we moved to North Dakota. Hiring has been my occupation for some time but I've already applied for an additional one.<br><br>My weblog :: [http://srgame.co.kr/qna/21862 std home test] |
| | title = Elementary Fluid Dynamics
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| | author = D. J. Acheson
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| | publisher = [[Oxford University Press]]
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| | year = 1990
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| | isbn = 0-19-859679-0
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| }}</ref>
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| of a Rankine [[vortex]] with [[Circulation (fluid dynamics)|circulation]] <math>\Gamma</math> and radius <math>R</math> is
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| :<math>u_\theta(r) = \begin{cases} \Gamma r/(2 \pi R^2) & r \le R, \\ \Gamma/(2 \pi r) & r > R. \end{cases}</math> | |
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| The remainder of the velocity components are identically zero, so that the total velocity field is <math>\mathbf{u} = u_\theta\ \mathbf{e_\theta}</math>.
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| == See also ==
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| * [[Vortex]]
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| * [[Viscosity]]
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| * [[Wingtip vortices]]
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| ==External links==
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| *[http://www.atmos.washington.edu/~durrand/animations/vort505/vortanim1.html Streamlines vs. Trajectories in a Translating Rankine Vortex]: an example of a Rankine vortex imposed on a constant velocity field, with animation.
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| ==Notes==
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| {{reflist}}
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| [[Category:Equations of fluid dynamics]]
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| [[Category:Vortices]]
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| {{fluiddynamics-stub}}
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Latest revision as of 06:42, 14 November 2014
I am Oscar and I totally dig that title. One of the things he enjoys most is ice skating but he is having difficulties to find time for it. Years in the past we moved to North Dakota. Hiring has been my occupation for some time but I've already applied for an additional one.
My weblog :: std home test