Momentum flux: Difference between revisions

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|Meaning=The vertical [[flux]] of horizontal [[momentum]], equal to the force per unit area, or  [[stress]].
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|Explanation=The [[Reynolds stresses|Reynolds stress]] (&#x003c4;<sub>''R''</sub>) can be determined from the [[covariance]] of the fluctuations of the  horizontal (''u''&prime;, ''v''&prime;) and vertical (''w''&prime;) [[wind]] components, by  <blockquote>[[File:ams2001glos-Me28.gif|link=|center|ams2001glos-Me28]]</blockquote> where &#x003c1; is air density. A direct measurement is possible with eddy-correlation techniques, or an  indirect determination can be made using [[Monin&ndash;Obukhov similarity theory|Monin&ndash;Obukhov similarity]] flux-profile relationships  (<br/>''also called'' [[universal functions]]). The relation between the [[velocity]] scale ([[friction velocity]] ''u''<sub>&#x0002a;</sub>)  and the momentum flux is  <blockquote>[[File:ams2001glos-Me29.gif|link=|center|ams2001glos-Me29]]</blockquote> Momentum flux can be associated with either [[mean velocity]] components, internal [[gravity waves]],  or with turbulent velocity fluctuations. For [[turbulence]], the momentum flux is also called the  Reynolds stress. For waves, it is related to [[mountain wave]] drag.
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== momentum flux ==
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<div class="definition"><div class="short_definition">The vertical [[flux]] of horizontal [[momentum]], equal to the force per unit area, or  [[stress]].</div><br/> <div class="paragraph">The [[Reynolds stresses|Reynolds stress]] (&#x003c4;<sub>''R''</sub>) can be determined from the [[covariance]] of the fluctuations of the  horizontal (''u''&prime;, ''v''&prime;) and vertical (''w''&prime;) [[wind]] components, by  <div class="display-formula"><blockquote>[[File:ams2001glos-Me28.gif|link=|center|ams2001glos-Me28]]</blockquote></div> where &#x003c1; is air density. A direct measurement is possible with eddy-correlation techniques, or an  indirect determination can be made using [[Monin&ndash;Obukhov similarity theory|Monin&ndash;Obukhov similarity]] flux-profile relationships  (<br/>''also called'' [[universal functions]]). The relation between the [[velocity]] scale ([[friction velocity]] ''u''<sub>&#x0002a;</sub>)  and the momentum flux is  <div class="display-formula"><blockquote>[[File:ams2001glos-Me29.gif|link=|center|ams2001glos-Me29]]</blockquote></div> Momentum flux can be associated with either [[mean velocity]] components, internal [[gravity waves]],  or with turbulent velocity fluctuations. For [[turbulence]], the momentum flux is also called the  Reynolds stress. For waves, it is related to [[mountain wave]] drag.</div><br/> </div>
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Latest revision as of 12:05, 29 March 2024

The vertical flux of horizontal momentum, equal to the force per unit area, or stress.
The Reynolds stressR) can be determined from the covariance of the fluctuations of the horizontal (u′, v′) and vertical (w′) wind components, by
ams2001glos-Me28
where ρ is air density. A direct measurement is possible with eddy-correlation techniques, or an indirect determination can be made using Monin–Obukhov similarity flux-profile relationships (
also called universal functions). The relation between the velocity scale (friction velocity u*) and the momentum flux is
ams2001glos-Me29
Momentum flux can be associated with either mean velocity components, internal gravity waves, or with turbulent velocity fluctuations. For turbulence, the momentum flux is also called the Reynolds stress. For waves, it is related to mountain wave drag.
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