Radiation-Induced Condensational Growth and Cooling of Cloud-Sized Mist Droplets

Abstract

A laboratory-experimental and theoretical-modeling investigation was conducted of isobaric, radiative cooling of cloud-like water mists to a remote heat sink, similar to what can happen at the tops of clouds. For mist initially at 20°C cooled by a radiative sink at –20°C, the mean (D43) mist droplet diameter grew from 5.5 to 8.4 μm and the mist temperature decreased from 20° to 3°C in just 80 s. Modeling showed that conventional assumptions were able to predict the measured temperature decrease reasonably well but not droplet size changes, suggesting that bulk radiative cooling was being reasonably well-modeled but not detailed, droplet-size-dependent behavior. Theoretically, Lewis-number near-unity was exploited to obtain an analytic expression for quasi-steady supersaturation that agrees with Davies (1985) but is simpler and a function of only droplet size distribution, surface tension and solute parameters, not radiative transfer. A simpler expression for the corresponding time constant was also found that is a function of only the binary diffusion coefficient and D31-moment of the droplet diameter distribution. The time constant was found to be in milliseconds, not seconds. Simply modifying quasi-steady supersaturation (i.e., applying droplet cooling effects uniformly to all droplet sizes) was shown not to be an acceptable substitute for including droplet-specific radiation terms in the droplet growth equation. These results confirm that radiative cooling at cloud top can have a significant effect on droplet size evolution and temperature change and provide data and analytical simplifications for use in further needed investigations of radiation modeling assumptions and parameterizations.

An Intercomparison of Large‐Eddy Simulations of a Convection Cloud Chamber Using Haze‐Capable Bin and Lagrangian Cloud Microphysics Schemes

“…Cloud droplets in the convection chamber have approximately the mean temperature of the well-mixed region. It is unlike the mixing chamber in Brewster et al (2020), in which warm droplets are embedded in a cool radiative sink and radiation plays a role in droplet growth. We estimate radiative effect based on Equation 5in Zeng (2018).…”