temperature derivations
- temperature from pressure and number density - symbol - description - unit - variable name - \(k\) - Boltzmann constant - \(\frac{kg m^2}{K s^2}\) - \(n\) - number density - \(\frac{molec}{m^3}\) - number_density {:} - \(p\) - pressure - \(Pa\) - pressure {:} - \(T\) - temperature - \(K\) - 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. \[T = \frac{p}{kn}\]
- temperature from virtual 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. \[T = \frac{M_{air}}{M_{dry\_air}}T_{v}\]
- surface temperature from surface pressure and surface number density - symbol - description - unit - variable name - \(k\) - Boltzmann constant - \(\frac{kg m^2}{K s^2}\) - \(n_{surf}\) - surface number density - \(\frac{molec}{m^3}\) - surface_number_density {:} - \(p_{surf}\) - surface pressure - \(Pa\) - surface_pressure {:} - \(T_{surf}\) - surface temperature - \(K\) - surface_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. \[T_{surf} = \frac{p_{surf}}{kn_{surf}}\]