relative humidity derivations
- relative humidity from H2O partial pressure - symbol - description - unit - variable name - \(e_{w}\) - saturated water vapor pressure - \(Pa\) - \(p_{H_{2}O}\) - partial pressure of H2O - \(Pa\) - H2O_partial_pressure {:} - \(T\) - temperature - \(K\) - temperature {:} - \(\phi\) - relative humidity - \(\frac{Pa}{Pa}\) - relative_humidity {:} - 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. \begin{eqnarray} e_{w} & = & 610.94e^{\frac{17.625(T-273.15)}{(T-273.15)+243.04}} \\ \phi & = & \frac{p_{H_{2}O}}{e_{w}} \end{eqnarray}