Taylor number: Difference between revisions
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<div class="definition"><div class="short_definition">A [[nondimensional number]] arising in problems of a rotating [[viscous fluid]].</div><br/> <div class="paragraph">It may be written <div class="display-formula"><blockquote>[[File:ams2001glos-Te5.gif|link=|center|ams2001glos-Te5]]</blockquote></div> where ''f'' is the [[Coriolis parameter]] (or, for a cylindrical system, twice the rate of rotation of the system), ''h'' is representative of the depth of the fluid, and ν is the [[kinematic viscosity]]. The square root of the Taylor number is a [[rotating Reynolds number]], and the fourth root is proportional to the ratio of the depth ''h'' to the depth of the [[Ekman layer]].</div><br/> </div> | <div class="definition"><div class="short_definition">A [[nondimensional number]] arising in problems of a rotating [[viscous fluid]].</div><br/> <div class="paragraph">It may be written <div class="display-formula"><blockquote>[[File:ams2001glos-Te5.gif|link=|center|ams2001glos-Te5]]</blockquote></div> where ''f'' is the [[Coriolis parameter]] (or, for a cylindrical system, twice the rate of rotation of the system), ''h'' is representative of the depth of the fluid, and ν is the [[kinematic viscosity|kinematic viscosity]]. The square root of the Taylor number is a [[rotating Reynolds number]], and the fourth root is proportional to the ratio of the depth ''h'' to the depth of the [[Ekman layer]].</div><br/> </div> | ||
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Latest revision as of 17:04, 25 April 2012
Taylor number
A nondimensional number arising in problems of a rotating viscous fluid.
It may be written where f is the Coriolis parameter (or, for a cylindrical system, twice the rate of rotation of the system), h is representative of the depth of the fluid, and ν is the kinematic viscosity. The square root of the Taylor number is a rotating Reynolds number, and the fourth root is proportional to the ratio of the depth h to the depth of the Ekman layer.
