Virtual temperature: Difference between revisions

Latest revision as of 11:44, 15 April 2024

(Also called density temperature.) The virtual temperature T_v = T(1 + r_v/ ε)/(1 + r_v), where r_v is the mixing ratio and ε is the ratio of the gas constants of air and water vapor, ≈ 0.622.
The virtual temperature allows the use of the dry-air equation of state for moist air, except with T replaced by T_v. Hence the virtual temperature is the temperature that dry dry air would have if its pressure and density were equal to those of a given sample of moist air. For typical observed values of r_v, the virtual temperature may be approximated by T_v = (1 + 0.61 r_v) T. Some authors incorporate the density increment due to liquid or solid water into virtual temperature, in which case the definition becomes T_v = T(1 + r_v/ε)/(1 + r_v + r_l) ≈ T(1 + 0.61r_v - r_l), where r_l is the liquid or liquid plus solid water mixing ratio.
(También se conoce como temperatura de densidad). La temperatura virtual Tv = T(1 + rv/ ε)/(1 + rv), donde rv, es la proporción de mezcla y ε es la proporción de las constantes de los gases para el aire y el vapor del agua, ≈ 0.622.

temperatura virtual

La temperatura virtual permite el uso de la ecuación de estado del aire seco para el aire húmedo, excepto que T se reemplaza con Tv. Por lo tanto, la temperatura virtual es la temperatura que tendría el aire seco si su presión y densidad fueran iguales a las de una muestra de aire húmedo dada. Para valores de rv típicamente observados, la temperatura virtual se puede aproximar por medio de Tv = (1 + 0.61 rv) T. Algunos autores incorporan el aumento de densidad debido a agua líquida o sólida en la temperatura virtual, en cuyo caso la definición se convierte en Tv = T(1 + rv/ε)/(1 + rv + rl) ≈ T(1 + 0.61rv - rl), donde rl es la proporción de agua líquida o líquida más sólida.

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+{{Term
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+(''Also called'' density temperature.) The virtual temperature ''T''<sub>''v''</sub> = ''T''(1 + ''r''<sub>''v''</sub>/  &#x003b5;)/(1 + ''r''<sub>''v''</sub>), where ''r''<sub>''v''</sub> is the [[mixing ratio]] and &#x003b5; is the ratio of the gas constants of air and [[water vapor|water  vapor]], &asymp; 0.622.<br/> The virtual temperature allows the use of the dry-air [[equation of state]] for [[moist air]], except  with ''T'' replaced by ''T''<sub>''v''</sub>. Hence the virtual temperature is the [[temperature]] that dry [[dry air]] would  have if its [[pressure]] and [[density]] were equal to those of a given [[sample]] of moist air. For typical  observed values of ''r''<sub>''v''</sub>, the virtual temperature may be approximated by ''T''<sub>''v''</sub> = (1 + 0.61 ''r''<sub>''v''</sub>) ''T''.  Some authors incorporate the density increment due to liquid or solid water into virtual temperature,  in which case the definition becomes ''T''<sub>''v''</sub> = ''T''(1 + ''r''<sub>''v''</sub>/&#x003b5;)/(1 + ''r''<sub>''v''</sub> + ''r''<sub>''l''</sub>) &asymp; ''T''(1 + 0.61''r''<sub>''v''</sub> - ''r''<sub>''l''</sub>),  where ''r''<sub>''l''</sub> is the liquid or liquid plus solid water mixing ratio.<br/>
-  <div class="term">
-== virtual temperature ==
-  </div>
-<div class="definition"><div class="short_definition">(''Also called'' density temperature.) The virtual temperature ''T''<sub>''v''</sub> = ''T''(1 + ''r''<sub>''v''</sub>/  &#x003b5;)/(1 + ''r''<sub>''v''</sub>), where ''r''<sub>''v''</sub> is the [[mixing ratio]] and &#x003b5; is the ratio of the gas constants of air and [[water vapor|water  vapor]], &asymp; 0.622.</div><br/> <div class="paragraph">The virtual temperature allows the use of the dry-air [[equation of state]] for [[moist air]], except  with ''T'' replaced by ''T''<sub>''v''</sub>. Hence the virtual temperature is the [[temperature]] that dry [[dry air]] would  have if its [[pressure]] and [[density]] were equal to those of a given [[sample]] of moist air. For typical  observed values of ''r''<sub>''v''</sub>, the virtual temperature may be approximated by ''T''<sub>''v''</sub> = (1 + 0.61 ''r''<sub>''v''</sub>) ''T''.  Some authors incorporate the density increment due to liquid or solid water into virtual temperature,  in which case the definition becomes ''T''<sub>''v''</sub> = ''T''(1 + ''r''<sub>''v''</sub>/&#x003b5;)/(1 + ''r''<sub>''v''</sub> + ''r''<sub>''l''</sub>) &asymp; ''T''(1 + 0.61''r''<sub>''v''</sub> - ''r''<sub>''l''</sub>),  where ''r''<sub>''l''</sub> is the liquid or liquid plus solid water mixing ratio.</div><br/> </div>
-  <div class="term">
-== virtual temperature ==
-  </div>
 (''También se conoce como'' temperatura de densidad). La temperatura virtual ''Tv'' = ''T''(1 + ''rv''/ ε)/(1 + ''rv''), donde ''rv'', es la [[Mixing ratio|proporción de mezcla]] y ε es la proporción de las constantes de los gases para el aire y el [[Water vapor|vapor del agua]], ≈ 0.622.
+== temperatura virtual ==
 La temperatura virtual permite el uso de la [[Equation of state|ecuación de estado]] del aire seco para el [[Moist air|aire húmedo]], excepto que ''T'' se reemplaza con ''Tv''. Por lo tanto, la [[Temperature|temperatura]] virtual es la temperatura que tendría el [[Dry air|aire seco]] si su [[Pressure|presión]] y [[Density|densidad]] fueran iguales a las de una [[Sample|muestra]] de aire húmedo dada. Para valores de ''rv'' típicamente observados, la temperatura virtual se puede aproximar por medio de ''Tv'' = (1 + 0.61 ''rv'') ''T''. Algunos autores incorporan el aumento de densidad debido a agua líquida o sólida en la temperatura virtual, en cuyo caso la definición se convierte en ''Tv'' = ''T''(1 + ''rv''/ε)/(1 + ''rv'' + ''rl'') ≈ ''T''(1 + 0.61''rv'' - ''rl''), donde ''rl'' es la proporción de agua líquida o líquida más sólida.
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