Equilibrium solutions are constructed using an idealized model for mixed and partially mixed boundary layers to show the dependence of the equilibrium cloud layer thickness on different physical processes. The condition when a mixed layer becomes cloud-free is reduced to a comparison between three pressure scales, associated with the surface wind and divergence, the radiative cooling and the subsaturation of the entrained air. The evaporation of layer cloud by cloud-top mixing is also formulated in terms of simple pressure scales.
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Alan K. Betts (1989) studied this question.
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