Friction velocity: Difference between revisions

From Glossary of Meteorology
No edit summary
m (Rewrite with Template:Term and clean up)
 
Line 1: Line 1:
 
{{Term
 
|Display title=friction velocity
{{TermHeader}}
|Definitions={{Definition
{{TermSearch}}
|Num=1
 
|Meaning=
<div class="termentry">
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.  
  <div class="term">
}}
== friction velocity ==
}}
  </div>
 
<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 stresses|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/>
</div>
 
{{TermIndex}}
{{TermFooter}}
 
[[Category:Terms_F]]

Latest revision as of 12:10, 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.
Copyright 2024 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact permissions@ametsoc.org. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.