Difference between revisions of "Moist-adiabatic lapse rate"

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<div class="definition"><div class="short_definition">(<br/>''Or'' saturation-adiabatic lapse rate.) The rate of decrease of [[temperature]]  with height along a [[moist adiabat]].</div><br/> <div class="paragraph">It is given approximately by &#x00393;<sub>''m''</sub> in the following:  <div class="display-formula"><blockquote>[[File:ams2001glos-Me16.gif|link=|center|ams2001glos-Me16]]</blockquote></div>  where ''g'' is gravitational [[acceleration]], ''c''<sub>''pd''</sub> is the [[specific heat]] at constant [[pressure]] of [[dry air]], ''r''<sub>''v''</sub>  is the [[mixing ratio]] of [[water vapor]], ''L''<sub>''v''</sub> is the [[latent heat]] of [[vaporization]], ''R'' is the [[gas constant]]  for dry air, &#x003b5; is the ratio of the gas constants for dry air and water vapor, and ''T'' is temperature.  This expression is an approximation to both the reversible moist [[adiabatic lapse rate]] and the  [[pseudoadiabatic lapse rate]], with more accurate expressions given under those definitions. When  most of the condensed water is frozen, this may be replaced by a similar expression but with ''L''<sub>''v''</sub>  replaced by the latent heat of [[sublimation]].</div><br/> </div>
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<div class="definition"><div class="short_definition">(''Or'' saturation-adiabatic lapse rate.) The rate of decrease of [[temperature]]  with height along a [[moist adiabat]].</div><br/> <div class="paragraph">It is given approximately by &#x00393;<sub>''m''</sub> in the following:  <div class="display-formula"><blockquote>[[File:ams2001glos-Me16.gif|link=|center|ams2001glos-Me16]]</blockquote></div>  where ''g'' is gravitational [[acceleration]], ''c''<sub>''pd''</sub> is the [[specific heat]] at constant [[pressure]] of [[dry air]], ''r''<sub>''v''</sub>  is the [[mixing ratio]] of [[water vapor]], ''L''<sub>''v''</sub> is the [[latent heat]] of [[vaporization]], ''R'' is the [[gas constant]]  for dry air, &#x003b5; is the ratio of the gas constants for dry air and water vapor, and ''T'' is temperature.  This expression is an approximation to both the reversible moist [[adiabatic lapse rate]] and the  [[pseudoadiabatic lapse rate]], with more accurate expressions given under those definitions. When  most of the condensed water is frozen, this may be replaced by a similar expression but with ''L''<sub>''v''</sub>  replaced by the latent heat of [[sublimation]].</div><br/> </div>
 
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Revision as of 14:42, 20 February 2012



moist-adiabatic lapse rate

(Or saturation-adiabatic lapse rate.) The rate of decrease of temperature with height along a moist adiabat.

It is given approximately by Γm in the following:
ams2001glos-Me16
where g is gravitational acceleration, cpd is the specific heat at constant pressure of dry air, rv is the mixing ratio of water vapor, Lv is the latent heat of vaporization, R is the gas constant for dry air, ε is the ratio of the gas constants for dry air and water vapor, and T is temperature. This expression is an approximation to both the reversible moist adiabatic lapse rate and the pseudoadiabatic lapse rate, with more accurate expressions given under those definitions. When most of the condensed water is frozen, this may be replaced by a similar expression but with Lv replaced by the latent heat of sublimation.