CliMA / Cloudy.jl

:cloud_with_rain: Multi-moment cloud microphysics toy model
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Build condensation/evaporation dynamics #93

Closed edejong-caltech closed 5 months ago

edejong-caltech commented 9 months ago

Ideally this will consider individual droplets within a mode reaching equilibrium with their environment (humidity).

For a starting point, consider Seifert & Beheng rain evaporation: $d x_r / dt = 2 \pi D_r(xr) G{p, v}(T, P) F_v(x_r) S$ where $G(T, P)$ is a function related to latent heat, $F_v$ is ventilation effects, and $S$ is supersaturation.

edejong-caltech commented 9 months ago

Probably best to start from basics and non-equilibrium thermodynamics. For a population of droplets, this might look like... $dm_r/dt \propto k(vt, ...) (P{env} - P^*)$ $dP{env}/dt \propto -\sum{drops} dmr/dt f(T, P)$ $dT/dt \propto -\sum{drops} dm_r/dt L_v$

where $k$ is a mass-transfer coefficient that accounts for ventilation effects at large $v_t$, and the second two equations account for changes to the environment temperature and pressure according to condensation and evaporation.

edejong-caltech commented 7 months ago

Consider an even simpler approximation: perhaps a power law rate in the particle size, or a rate of change of the distribution parameters