virtual temperature derivations
virtual temperature from temperature
symbol description unit variable name \(M_{air}\) molar mass of total air \(\frac{g}{mol}\) molar_mass {:} \(M_{dry\_air}\) molar mass of dry air \(\frac{g}{mol}\) \(T\) temperature \(K\) temperature {:} \(T_{v}\) virtual temperature \(K\) virtual_temperature {:} The pattern : for the dimensions can represent {vertical}, {latitude,longitude}, {latitude,longitude,vertical}, {time}, {time,vertical}, {time,latitude,longitude}, {time,latitude,longitude,vertical}, or no dimensions at all.
\[T_{v} = \frac{M_{dry\_air}}{M_{air}}T\]