Difference between revisions of "Taylor's hypothesis"

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<div class="definition"><div class="short_definition">An assumption that [[advection]] contributed by turbulent circulations themselves  is small and that therefore the advection of a [[field]] of [[turbulence]] past a fixed point can be taken  to be entirely due to the mean flow; also known as the Taylor &ldquo;frozen turbulence&rdquo; hypothesis.</div><br/> <div class="paragraph">It only holds if the relative [[turbulence intensity]] is small; that is, <div class="inline-formula">[[File:ams2001glos-Tex03.gif|link=|ams2001glos-Tex03]]</div>, where ''U'' is the  [[mean velocity]] and ''u'' the [[eddy velocity]]. Then the substitution ''t'' = ''x''/''U'' is a good approximation.</div><br/> </div>
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<div class="definition"><div class="short_definition">An assumption that [[advection]] contributed by turbulent circulations themselves  is small and that therefore the advection of a [[field]] of [[turbulence]] past a fixed point can be taken  to be entirely due to the mean flow; also known as the Taylor "frozen turbulence" hypothesis.</div><br/> <div class="paragraph">It only holds if the relative [[turbulence intensity]] is small; that is, <div class="inline-formula">[[File:ams2001glos-Tex03.gif|link=|ams2001glos-Tex03]]</div>, where ''U'' is the  [[mean velocity]] and ''u'' the [[eddy velocity]]. Then the substitution ''t'' = ''x''/''U'' is a good approximation.</div><br/> </div>
 
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Latest revision as of 15:17, 20 February 2012



Taylor's hypothesis

An assumption that advection contributed by turbulent circulations themselves is small and that therefore the advection of a field of turbulence past a fixed point can be taken to be entirely due to the mean flow; also known as the Taylor "frozen turbulence" hypothesis.

It only holds if the relative turbulence intensity is small; that is,
ams2001glos-Tex03
, where U is the mean velocity and u the eddy velocity. Then the substitution t = x/U is a good approximation.


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