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In meteorology, mixing ratio usually refers to the mass ratio of water , which is defined as the mass of water divided by the mass of dry air in a given air parcel: [3] ζ = m H 2 O m a i r − m H 2 O {\displaystyle \zeta ={\frac {m_{\mathrm {H2O} }}{m_{\mathrm {air} }-m_{\mathrm {H2O} }}}}
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The Bulk Richardson Number (BRN) is an approximation of the Gradient Richardson number. [1] The BRN is a dimensionless ratio in meteorology related to the consumption of turbulence divided by the shear production (the generation of turbulence kinetic energy caused by wind shear) of turbulence.
The Richardson number (Ri) is named after Lewis Fry Richardson (1881–1953). [1] It is the dimensionless number that expresses the ratio of the buoyancy term to the flow shear term: [2]
RCAPE is calculated using the same formula as CAPE, the difference in the formula being in the virtual temperature. In this new formulation, we replace the parcel saturation mixing ratio (which leads to the condensation and vanishing of liquid water) with the parcel water content. This slight change can drastically change the values we get ...
is mixing ratio of water vapor mass per mass [kg/kg] (sometimes value is given in [g/kg] [4] and that should be divided by 1000). A little more theoretical formula is commonly used in literature like Holton (1972) [5] when theoretical explanation is important:
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The altitude where they intersect can be computed as the ratio between the difference in the initial temperature and initial dew point temperature to the difference in the slopes of the two curves. Since the slopes are the two lapse rates, their difference is about 8 K/km. Inverting this gives 0.125 km/K, or 125 m/K. Recognizing this, Espy ...
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