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<br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br /> <br />17 <br /> <br />mechanisms were not known. The relative contribution to ice crystal <br /> <br />formation by each mechanism was based on the theoretical work of Cooper <br /> <br />(1974) which has not been directly verified. More common and simplistic <br /> <br />schemes (e.g., Plooster and Fukuta, 1975) use the laboratory-measured <br /> <br />effectivity spectra to specify the number of ice crystals formed, with <br /> <br />no regard to mechanism or a consideration of the potential time <br /> <br />required for nucleation. None of the above mentioned models explicitly <br /> <br />include condensation-freezing or consider differences in nuclei <br /> <br />response with thermodynamic path. <br /> <br />Blumenstein et al.(1987) developed time and temperature dependent <br /> <br />empirical expressions from experimental data obtained in the CSU <br /> <br /> <br />isothermal cloud chamber and applied these in Rauber's (l98l) two <br /> <br /> <br />dimensional orographic cloud model. Her laboratory study demonstrated <br /> <br /> <br />slow and fast (rates) condensation-freezing nucleation processes by <br /> <br />AgI-NaI aerosols. Near water saturation, the freezing of droplets grown <br /> <br />on aerosols determined the rate at which ice crystals formed in the <br /> <br />isothermal chamber. This rate was expressed as a first order rate law <br /> <br />with a temperature dependent rate coefficient. The process was slow (up <br /> <br />to 100 minutes for completion), but the rate coefficient increased with <br /> <br />colder temperatures. In contrast, for water supersaturations, the <br /> <br />values of which were not defined, the nucleation of ice proceeded very <br /> <br /> <br />rapidly (within seconds), such that crystal diffusion growth and <br /> <br /> <br />crystal sedimentation rates determined the rate of collection of ice <br /> <br /> <br />crystals. Also, nucleation activity increased in the supersaturated <br /> <br />case. DeMott (1988) has shown that, at least for cloud parcels <br /> <br />undergoing moderate expansion rates (2.5 m s-l equivalent updraft) in <br /> <br />which sustained supersaturation with respect to water might reasonably <br />