Equivalent temperature: Difference between revisions

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|Meaning=#Isobaric equivalent temperature: The [[temperature]] that an [[air parcel]]  would have if all [[water vapor]] were condensed at constant [[pressure]] and the [[enthalpy]] released  from the [[vapor]] used to heat the air:
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|Explanation=<blockquote>[[File:ams2001glos-Ee58.gif|link=|center|ams2001glos-Ee58]]</blockquote> where ''T''<sub>''ie''</sub> is the isobaric equivalent temperature, ''T'' the [[temperature]], ''w'' the [[mixing ratio]], ''L'' the  [[latent heat]], and ''c''<sub>''p''</sub> the [[specific heat]] of air at constant pressure. This process is physically impossible  in the [[atmosphere]].<br/>  
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#Adiabatic equivalent temperature (also known as pseudoequivalent temperature): The [[temperature]]  that an [[air parcel]] would have after undergoing the following process: [[dry-adiabatic process|dry-adiabatic]]  expansion until saturated; [[pseudoadiabatic expansion]] until all moisture is precipitated out; dry-  adiabatic compression to the initial [[pressure]].<br/> This is the equivalent temperature as read from a thermodynamic [[chart]] and is always greater  than the isobaric equivalent temperature:  <blockquote>[[File:ams2001glos-Ee59.gif|link=|center|ams2001glos-Ee59]]</blockquote> where ''T''<sub>''ae''</sub> is the adiabatic equivalent temperature.
== equivalent temperature ==
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#<div class="definition"><div class="short_definition">Isobaric equivalent temperature: The [[temperature]] that an [[air parcel]]  would have if all [[water vapor]] were condensed at constant [[pressure]] and the [[enthalpy]] released  from the [[vapor]] used to heat the air:</div><br/> <div class="paragraph"><div class="display-formula"><blockquote>[[File:ams2001glos-Ee58.gif|link=|center|ams2001glos-Ee58]]</blockquote></div> where ''T''<sub>''ie''</sub> is the isobaric equivalent temperature, ''T'' the [[temperature]], ''w'' the [[mixing ratio]], ''L'' the  [[latent heat]], and ''c''<sub>''p''</sub> the [[specific heat]] of air at constant pressure. This process is physically impossible  in the [[atmosphere]].</div><br/> </div>
#<div class="definition"><div class="short_definition">Adiabatic equivalent temperature (also known as pseudoequivalent temperature): The [[temperature]]  that an [[air parcel]] would have after undergoing the following process: [[dry-adiabatic process|dry-adiabatic]]  expansion until saturated; [[pseudoadiabatic expansion]] until all moisture is precipitated out; dry-  adiabatic compression to the initial [[pressure]].</div><br/> <div class="paragraph">This is the equivalent temperature as read from a thermodynamic [[chart]] and is always greater  than the isobaric equivalent temperature:  <div class="display-formula"><blockquote>[[File:ams2001glos-Ee59.gif|link=|center|ams2001glos-Ee59]]</blockquote></div> where ''T''<sub>''ae''</sub> is the adiabatic equivalent temperature.</div><br/> </div>
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Latest revision as of 07:16, 29 March 2024

  1. Isobaric equivalent temperature: The temperature that an air parcel would have if all water vapor were condensed at constant pressure and the enthalpy released from the vapor used to heat the air:
ams2001glos-Ee58
where Tie is the isobaric equivalent temperature, T the temperature, w the mixing ratio, L the latent heat, and cp the specific heat of air at constant pressure. This process is physically impossible in the atmosphere.
  1. Adiabatic equivalent temperature (also known as pseudoequivalent temperature): The temperature that an air parcel would have after undergoing the following process: dry-adiabatic expansion until saturated; pseudoadiabatic expansion until all moisture is precipitated out; dry- adiabatic compression to the initial pressure.
    This is the equivalent temperature as read from a thermodynamic chart and is always greater than the isobaric equivalent temperature:
    ams2001glos-Ee59
    where Tae is the adiabatic equivalent temperature.
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