Friction velocity: Difference between revisions

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A reference [[wind]] velocity defined by the relation  <blockquote>[[File:ams2001glos-Fe17.gif|link=|center|ams2001glos-Fe17]]</blockquote> where &#x003c4; is the [[Reynolds stresses|Reynolds stress]], &#x003c1; the [[density]], and ''u''<sub>&#x0002a;</sub> friction velocity.<br/> Using the surface kinematic [[momentum]] fluxes in the ''x'' and ''y'' directions ([[File:ams2001glos-Fex10.gif|link=|ams2001glos-Fex10]]) to  represent surface [[stress]], the friction velocity can be written as  <blockquote>[[File:ams2001glos-Fe18.gif|link=|center|ams2001glos-Fe18]]</blockquote> It is usually applied to motion near the ground where the [[shearing stress]] is often assumed to be  independent of height and approximately proportional to the square of the [[mean velocity]]. The  friction velocity is, therefore, exactly the [[velocity]] for which this square law would be valid.<br/> Sutton, O. G. 1953. Micrometeorology. p. 76.  
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== friction velocity ==
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<div class="definition"><div class="short_definition">A reference [[wind]] velocity defined by the relation  <div class="display-formula"><blockquote>[[File:ams2001glos-Fe17.gif|link=|center|ams2001glos-Fe17]]</blockquote></div> where &#x003c4; is the [[Reynolds stress]], &#x003c1; the [[density]], and ''u''<sub>&#x0002a;</sub> friction velocity.</div><br/> <div class="paragraph">Using the surface kinematic [[momentum]] fluxes in the ''x'' and ''y'' directions (<div class="inline-formula">[[File:ams2001glos-Fex10.gif|link=|ams2001glos-Fex10]]</div>) to  represent surface [[stress]], the friction velocity can be written as  <div class="display-formula"><blockquote>[[File:ams2001glos-Fe18.gif|link=|center|ams2001glos-Fe18]]</blockquote></div> It is usually applied to motion near the ground where the [[shearing stress]] is often assumed to be  independent of height and approximately proportional to the square of the [[mean velocity]]. The  friction velocity is, therefore, exactly the [[velocity]] for which this square law would be valid.</div><br/> </div><div class="reference">Sutton, O. G. 1953. Micrometeorology. p. 76. </div><br/>
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Latest revision as of 13:10, 30 March 2024

A reference wind velocity defined by the relation
ams2001glos-Fe17
where τ is the Reynolds stress, ρ the density, and u* friction velocity.
Using the surface kinematic momentum fluxes in the x and y directions (ams2001glos-Fex10) to represent surface stress, the friction velocity can be written as
ams2001glos-Fe18
It is usually applied to motion near the ground where the shearing stress is often assumed to be independent of height and approximately proportional to the square of the mean velocity. The friction velocity is, therefore, exactly the velocity for which this square law would be valid.
Sutton, O. G. 1953. Micrometeorology. p. 76.
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