Langmuir number: Difference between revisions
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<div class="definition"><div class="short_definition">A [[nondimensional number]] representing the ratio of [[viscous]] to [[inertial forces]] in the nondimensionalized governing equations for [[Langmuir circulation]]: <div class="display-formula"><blockquote>[[File:ams2001glos-Le2.gif|link=|center|ams2001glos-Le2]]</blockquote></div> where ν<sub>''T''</sub> is the [[eddy viscosity]], 2''S''<sub>0</sub> and 1/2β are the surface value and ''e''-folding depth of the [[Stokes's drift]] current, respectively, and ''u''<sub>*</sub> is the [[friction velocity]].</div><br/> <div class="paragraph">This [[parameter]] can also be interpreted as expressing the balance between the rate of [[diffusion]] of [[streamwise vorticity]] by [[eddy viscosity]] and the rate of production of [[streamwise vorticity]] by [[vortex stretching]] accomplished by the Stokes's drift. The Langmuir number is inversely related to the [[Reynolds number]].</div><br/> </div> | <div class="definition"><div class="short_definition">A [[nondimensional number]] representing the ratio of [[viscous force|viscous]] to [[inertial forces]] in the nondimensionalized governing equations for [[Langmuir circulation]]: <div class="display-formula"><blockquote>[[File:ams2001glos-Le2.gif|link=|center|ams2001glos-Le2]]</blockquote></div> where ν<sub>''T''</sub> is the [[eddy viscosity]], 2''S''<sub>0</sub> and 1/2β are the surface value and ''e''-folding depth of the [[Stokes's drift]] current, respectively, and ''u''<sub>*</sub> is the [[friction velocity]].</div><br/> <div class="paragraph">This [[parameter]] can also be interpreted as expressing the balance between the rate of [[diffusion]] of [[streamwise vorticity]] by [[eddy viscosity]] and the rate of production of [[streamwise vorticity]] by [[vortex stretching]] accomplished by the Stokes's drift. The Langmuir number is inversely related to the [[Reynolds number]].</div><br/> </div> | ||
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Latest revision as of 16:18, 25 April 2012
Langmuir number
A nondimensional number representing the ratio of viscous to inertial forces in the nondimensionalized governing equations for Langmuir circulation: where νT is the eddy viscosity, 2S0 and 1/2β are the surface value and e-folding depth of the Stokes's drift current, respectively, and u* is the friction velocity.
This parameter can also be interpreted as expressing the balance between the rate of diffusion of streamwise vorticity by eddy viscosity and the rate of production of streamwise vorticity by vortex stretching accomplished by the Stokes's drift. The Langmuir number is inversely related to the Reynolds number.
