vmr2relative_humidity

typhon.physics.vmr2relative_humidity(vmr, p, T, e_eq=None)[source]

Convert water vapor VMR into relative humidity.

\[\mathrm{RH} = \frac{x \cdot p}{e_s(T)}\]

Note

By default, the relative humidity is calculated with respect to saturation over liquid water in accordance to the WMO standard for radiosonde observations. You can use e_eq_mixed_mk() to calculate relative humidity with respect to saturation over the mixed-phase following the IFS model documentation.

Parameters:

vmr (float or ndarray) – Volume mixing ratio,
p (float or ndarray) – Pressure [Pa].
T (float or ndarray) – Temperature [K].
e_eq (callable) – Function to calculate the equilibrium vapor pressure of water in Pa. The function must implement the signature e_eq = f(T) where T is temperature in Kelvin. If None the function e_eq_water_mk() is used.

Returns:

Relative humidity [unitless].

Return type:

float or ndarray