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| {{Refimprove|date=April 2009}}
| | Emilia Shryock is my name but you can call me something you like. North Dakota is exactly where me and my husband reside. It's not a typical thing but what she likes performing is foundation leaping and now she is trying to earn cash with it. I am a meter reader but I strategy on changing it.<br><br>Here is my blog post: [http://theoffshoremanual.com/?testimonial=know-facing-candida-albicans theoffshoremanual.com] |
| An '''inviscid flow''' is the flow of an [[ideal fluid]] that is assumed to have no [[viscosity]]. In [[fluid dynamics]] there are problems that are easily solved by using the simplifying assumption of an inviscid flow.<ref>Clancy, L.J., ''Aerodynamics'', p.xviii</ref>
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| The flow of fluids with low values of [[viscosity]] agree closely with '''inviscid flow''' everywhere except close to the fluid boundary where the [[boundary layer]] plays a significant role.<ref>Kundu, P.K., Cohen, I.M., & Hu, H.H., ''Fluid Mechanics'', Chapter 10, sub-chapter 1</ref>
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| ==Reynolds number==
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| The assumption of inviscid flow is generally valid where [[Viscosity|viscous]] forces are small in comparison to inertial forces. Such flow situations can be identified as flows with a [[Reynolds number]] much greater than one. The assumption that viscous forces are negligible can be used to simplify the [[Navier-Stokes equations|Navier-Stokes solution]] to the [[Euler equations (fluid dynamics)|Euler equations]].
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| The Euler equation governing inviscid flow is:
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| :<math>
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| \rho\left(
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| \frac{\partial}{\partial t}+{\bold u}\cdot\nabla
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| \right){\bold u}+\nabla p=0
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| </math> | |
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| which is admittedly [[Newton's second law]] applied on a flowing infinitesimal volume element. In the steady-state case, combined with the continuity equation of mass, this can be solved using [[potential flow]] theory.
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| ==Problems with the inviscid-flow model==
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| While throughout much of a flow-field the effect of viscosity may be very small, a number of factors make the assumption of negligible viscosity invalid in many cases. Viscosity cannot be neglected near fluid boundaries because of the presence of a [[boundary layer]], which enhances the effect of even a small amount of [[viscosity]]. [[Turbulence]] is also observed in some high-Reynolds-number flows, and is a process through which energy is transferred to increasingly small scales of motion until it is dissipated by viscosity.{{cn|date=February 2013}}
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| ==References==
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| * Clancy, L.J. (1975), ''Aerodynamics'', Pitman Publishing Limited, London. ISBN 0-273-01120-0
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| * Kundu, P.K., Cohen, I.M., & Hu, H.H. (2004), ''Fluid Mechanics'', 3rd edition, Academic Press. ISBN 0-12-178253-0, ISBN 978-0-12-178253-5
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| ===Notes===
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| {{reflist}}
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| ==See also==
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| *[[Viscosity]]
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| *[[Fluid Dynamics]]
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| *[[Stokes Flow]], in which the viscous forces are much greater than inertial forces.
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| *[[Couette Flow]]
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| [[Category:Fluid dynamics]]
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| {{fluiddynamics-stub}}
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Emilia Shryock is my name but you can call me something you like. North Dakota is exactly where me and my husband reside. It's not a typical thing but what she likes performing is foundation leaping and now she is trying to earn cash with it. I am a meter reader but I strategy on changing it.
Here is my blog post: theoffshoremanual.com