Equivalent potential temperature: Difference between revisions

Latest revision as of 16:55, 25 April 2012

equivalent potential temperature

(Also called wet-equivalent potential temperature.) A thermodynamic quantity, with its natural logarithm proportional to the entropy of moist air, that is conserved in a reversible moist adiabatic process.

It is given most accurately as

where θ_e is the equivalent potential temperature, c_pd is the heat capacity at constant pressure of dry air, r_t is the total water mixing ratio, c is the heat capacity of liquid water, T is the temperature, R_d is the gas constant for dry air, p_d is the partial pressure of dry air, p₀ is a reference pressure (usually 100 kPa), L_v is the latent heat of vaporization, r_v is the vapor mixing ratio, R_v is the gas constant for water vapor, and Η is the relative humidity. Neglect of the quantity r_tc, where it appears, yields a simpler expression with good accuracy.

Paluch, I. 1979. J. Atmos. Sci.. 36. 2467–2478.

Emanuel, K. A. 1994. Atmospheric Convection. Oxford University Press, . 580 pp.

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-<div class="definition"><div class="short_definition">(<br/>''Also called'' [[wet-equivalent potential temperature]].) A thermodynamic  quantity, with its natural [[logarithm]] proportional to the [[entropy]] of [[moist air]], that  is conserved in a [[reversible moist adiabatic process]].</div><br/> <div class="paragraph">It is given most accurately as  <div class="display-formula"><blockquote>[[File:ams2001glos-Ee56.gif|link=|center|ams2001glos-Ee56]]</blockquote></div> where &#x003b8;<sub>''e''</sub> is the equivalent potential temperature, ''c''<sub>''pd''</sub> is the [[heat capacity]] at constant [[pressure]] of  [[dry air]], ''r''<sub>''t''</sub> is the [[total water mixing ratio]], ''c'' is the heat capacity of liquid water, ''T'' is the [[temperature]],  ''R''<sub>''d''</sub> is the [[gas constant]] for dry air, ''p''<sub>''d''</sub> is the [[partial pressure]] of dry air, ''p''<sub>0</sub> is a reference  pressure (usually 100 kPa), ''L''<sub>''v''</sub> is the [[latent heat]] of [[vaporization]], ''r''<sub>''v''</sub> is the vapor [[mixing ratio]], ''R''<sub>''v''</sub>  is the [[gas constant]] for [[water vapor]], and &#x00397; is the [[relative humidity]]. Neglect of the quantity ''r''<sub>''t''</sub>''c'',  where it appears, yields a simpler expression with good [[accuracy]].</div><br/> </div><div class="reference">Paluch, I. 1979. J. Atmos. Sci.. 36. 2467&ndash;2478. </div><br/> <div class="reference">Emanuel, K. A. 1994. Atmospheric Convection. Oxford University Press, . 580 pp. </div><br/>
+<div class="definition"><div class="short_definition">(''Also called'' [[wet-equivalent potential temperature]].) A thermodynamic  quantity, with its natural [[logarithm]] proportional to the [[entropy]] of [[moist air]], that  is conserved in a [[reversible moist-adiabatic process|reversible moist adiabatic process]].</div><br/> <div class="paragraph">It is given most accurately as  <div class="display-formula"><blockquote>[[File:ams2001glos-Ee56.gif|link=|center|ams2001glos-Ee56]]</blockquote></div> where &#x003b8;<sub>''e''</sub> is the equivalent potential temperature, ''c''<sub>''pd''</sub> is the [[heat capacity]] at constant [[pressure]] of  [[dry air]], ''r''<sub>''t''</sub> is the [[total water mixing ratio]], ''c'' is the heat capacity of liquid water, ''T'' is the [[temperature]],  ''R''<sub>''d''</sub> is the [[gas constant]] for dry air, ''p''<sub>''d''</sub> is the [[partial pressure]] of dry air, ''p''<sub>0</sub> is a reference  pressure (usually 100 kPa), ''L''<sub>''v''</sub> is the [[latent heat]] of [[vaporization]], ''r''<sub>''v''</sub> is the vapor [[mixing ratio]], ''R''<sub>''v''</sub>  is the [[gas constant]] for [[water vapor]], and &#x00397; is the [[relative humidity]]. Neglect of the quantity ''r''<sub>''t''</sub>''c'',  where it appears, yields a simpler expression with good [[accuracy]].</div><br/> </div><div class="reference">Paluch, I. 1979. J. Atmos. Sci.. 36. 2467&ndash;2478. </div><br/> <div class="reference">Emanuel, K. A. 1994. Atmospheric Convection. Oxford University Press, . 580 pp. </div><br/>
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