Classical thermal evaporation of clouds - An electrostatic analogy
The dynamics of the thermal evaporation of cool gas clouds embedded in a hot ionized gas is considered from a general point of view. The investigation is limited to isobaric small Mach number flow, the heat flux given by the diffusive electron Coulomb scattering formula, and no external heating sources. The cloud boundaries are assumed to change very slowly relative to the flow time. It is concluded that the classical mass-loss rate of any irrotational flow from a cloud ensemble is the product of known quantities and the electrostatic capacitance of an identical ensemble of grounded electrical conductors. Thus, the mass loss rate from an ensemble of clouds may be dramatically lower than the sum of the isolated cloud mass-loss rates. This rate is a lower bound to the mass-loss rate when vorticity is present. The mass-loss rate reaches its minimum value when the vorticity flow streamlines are isotherms.