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| | | #REDIRECT: [[Reynolds number]] |
| #REDIRECT [[Reynolds number]] | |
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| <div class="termentry">
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| == Reynolds number ==
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| <div class="definition"><div class="short_definition">The dimensionless ratio of the [[inertial force]] (∼''U''<sup>2</sup>/''L'') to the [[viscous force]] (∼ ν''U''/''L''<sup>2</sup>) in the [[Navier–Stokes equations]], where ''U'' is a [[characteristic velocity]], ''L'' is a [[characteristic length]], and ν is the [[kinematic viscosity]] of the fluid; thus, <div class="display-formula"><blockquote>[[File:ams2001glos-Re39.gif|link=|center|ams2001glos-Re39]]</blockquote></div></div><br/><div class="paragraph">The Reynolds number is of great importance in the theory of [[hydrodynamic stability]] and the origin of [[turbulence]]. The inertia force generates [[vortex stretching]] and [[nonlinear]] interactions and hence creates [[randomness]]. Turbulence occurs when the inertia term dominates the viscous term, that is, when the Reynolds number is large. For many engineering flows, turbulence occurs when Re > Re<sub>c</sub>, where the critical Reynolds number is roughly Re<sub>c</sub> = 2100. <br/>''See'' [[large Reynolds number flow]].</div><br/> </div>
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| [[Category:Terms_R]]
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