Isallobaric wind: Difference between revisions
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<div class="definition"><div class="short_definition">(Also called Brunt–Douglas isallobaric wind.) The [[wind]] velocity when the [[Coriolis force]] exactly balances a locally accelerating [[geostrophic wind]].</div><br/> <div class="paragraph">Mathematically, the isallobaric wind ''V''<sub>''is''</sub> is defined in terms of the local accelerations but approximated by the [[allobaric]] gradient as follows: <div class="display-formula"><blockquote>[[File:ams2001glos-Ie17.gif|link=|center|ams2001glos-Ie17]]</blockquote></div> where '''k''' is the vertical unit [[vector]], ''f'' the [[Coriolis parameter]], '''V'''<sub>''g''</sub> the [[geostrophic wind]], α the [[specific volume]], '''∇'''<sub>''H''</sub> the horizontal [[del operator]], and ''p'' the [[pressure]]. The isallobaric wind is thus directed normal to the isallobars toward falling pressure, with magnitude proportional to the allobaric gradient. Because the isallobaric wind is associated with [[transient]] effects and because of the many assumptions used in deriving its equation, observational evidence of this wind is unsatisfactory.</div><br/></div><div class="reference">Haurwitz, B. 1941. Dynamic Meteorology. 155–159. </div><br/> | <div class="definition"><div class="short_definition">(Also called Brunt–Douglas isallobaric wind.) The [[wind]] velocity when the [[Coriolis force|Coriolis force]] exactly balances a locally accelerating [[geostrophic wind]].</div><br/> <div class="paragraph">Mathematically, the isallobaric wind ''V''<sub>''is''</sub> is defined in terms of the local accelerations but approximated by the [[allobaric]] gradient as follows: <div class="display-formula"><blockquote>[[File:ams2001glos-Ie17.gif|link=|center|ams2001glos-Ie17]]</blockquote></div> where '''k''' is the vertical unit [[vector]], ''f'' the [[Coriolis parameter]], '''V'''<sub>''g''</sub> the [[geostrophic wind]], α the [[specific volume]], '''∇'''<sub>''H''</sub> the horizontal [[del operator]], and ''p'' the [[pressure]]. The isallobaric wind is thus directed normal to the isallobars toward falling pressure, with magnitude proportional to the allobaric gradient. Because the isallobaric wind is associated with [[transient]] effects and because of the many assumptions used in deriving its equation, observational evidence of this wind is unsatisfactory.</div><br/></div><div class="reference">Haurwitz, B. 1941. Dynamic Meteorology. 155–159. </div><br/> | ||
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Latest revision as of 17:15, 25 April 2012
isallobaric wind[edit | edit source]
(Also called Brunt–Douglas isallobaric wind.) The wind velocity when the Coriolis force exactly balances a locally accelerating geostrophic wind.
Mathematically, the isallobaric wind Vis is defined in terms of the local accelerations but approximated by the allobaric gradient as follows: where k is the vertical unit vector, f the Coriolis parameter, Vg the geostrophic wind, α the specific volume, ∇H the horizontal del operator, and p the pressure. The isallobaric wind is thus directed normal to the isallobars toward falling pressure, with magnitude proportional to the allobaric gradient. Because the isallobaric wind is associated with transient effects and because of the many assumptions used in deriving its equation, observational evidence of this wind is unsatisfactory.
Haurwitz, B. 1941. Dynamic Meteorology. 155–159.