Abstract
Abstract A model of cumulus clouds is presented that combines the vertical equation of motion, the equation of mass continuity, the first law of thermodynamics, and the following cloud microphysical processes: condensation of water vapor to produce cloud droplets, conversion of cloud droplets to raindrops, glaciation, sublimation of water vapor, melting of ice crystals, evaporation of cloud droplets, evaporation of raindrops, evaporation of ice crystals, and evaporation of melting ice crystals. The conversion and glaciation processes are parameterized and the drag force is assumed to be provided by the weight of hydrometeors. The result of time integration of the model shows that, with the inclusion of the microphysical processes, some aspects of the three stages of the life cycle of a cumulus cloud as depicted by Byers and Braham in 1949 (developing stage, mature stage, and decaying stage) are simulated qualitatively by the model. The model also shows that the rate of conversion from cloud droplets to ra...
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