relative humidity derivations

  1. 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}