Mixed-layer similarity: Difference between revisions

Latest revision as of 11:50, 29 March 2024

An empirical method of finding universal relationships between boundary layer variables that are made dimensionless using the Deardorff velocity w_*, the mixed-layer depth z_i, and the mixed-layer temperature scale

, where

is the surface kinematic heat flux.
The resulting universal relationships are valid only for convective mixed layers. An example is

Compare local free-convection similarity, local similarity, similarity theory, dimensional analysis, Buckingham Pi theory.
Stull, R. B. 1988. An Introduction to Boundary Layer Meteorology. 666 pp.

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+|Display title=mixed-layer similarity
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+An empirical method of finding universal relationships between [[boundary layer|boundary  layer]] variables that are made dimensionless using the [[Deardorff velocity]] ''w''<sub>&#x0002a;</sub>, the [[mixed-layer depth|mixed-layer  depth]] ''z''<sub>''i''</sub>, and the mixed-layer [[temperature scale]] [[File:ams2001glos-Mex01.gif|link=|ams2001glos-Mex01]], where [[File:ams2001glos-Mex02.gif|link=|ams2001glos-Mex02]] is the surface kinematic  [[heat flux]].<br/> The resulting universal relationships are valid only for convective [[mixed layers]]. An example  is  <blockquote>[[File:ams2001glos-Me11.gif|link=|center|ams2001glos-Me11]]</blockquote><br/>''Compare'' [[local free-convection similarity]], [[local similarity]], [[similarity theory]], [[dimensional analysis]],  [[Buckingham Pi theory]].<br/> Stull, R. B. 1988. An Introduction to Boundary Layer Meteorology. 666 pp.
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+}}
-== mixed-layer similarity ==
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-<div class="definition"><div class="short_definition">An empirical method of finding universal relationships between [[boundary layer|boundary  layer]] variables that are made dimensionless using the [[Deardorff velocity]] ''w''<sub>&#x0002a;</sub>, the [[mixed-layer depth|mixed-layer  depth]] ''z''<sub>''i''</sub>, and the mixed-layer [[temperature scale]] <div class="inline-formula">[[File:ams2001glos-Mex01.gif|link=|ams2001glos-Mex01]]</div>, where <div class="inline-formula">[[File:ams2001glos-Mex02.gif|link=|ams2001glos-Mex02]]</div> is the surface kinematic  [[heat flux]].</div><br/> <div class="paragraph">The resulting universal relationships are valid only for convective [[mixed layers]]. An example  is  <div class="display-formula"><blockquote>[[File:ams2001glos-Me11.gif|link=|center|ams2001glos-Me11]]</blockquote></div><br/>''Compare'' [[local free-convection similarity]], [[local similarity]], [[similarity theory]], [[dimensional analysis]],  [[Buckingham Pi theory]].</div><br/> </div><div class="reference">Stull, R. B. 1988. An Introduction to Boundary Layer Meteorology. 666 pp. </div><br/>
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