Toward the theory of stochastic condensation in clouds. Part II: Analytical solutions of the gamma-distribution type

Journal of the Atmospheric Sciences

Volumn 56, Issue 23, 1999, Pages 3997-4013

  Khvorostyanov, Vitaly I ^a   Curry, Judith A ^b  

^a UNIVERSITY OF UTAH   (United States)

^b UCB 450   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC SPECTRA; ATMOSPHERIC TEMPERATURE; ATMOSPHERIC TURBULENCE; CONDENSATION; KINETIC THEORY; MATHEMATICAL MODELS; OPTICAL PROPERTIES; PRECIPITATION (METEOROLOGY); QUANTUM THEORY; RANDOM PROCESSES; SPECTRUM ANALYSIS;

GAMMA DISTRIBUTION; KINETIC EQUATIONS; MICROPHYSICAL PROPERTIES;

CLOUDS;

CLOUD MICROPHYSICS; CONDENSATION; OPTICAL PROPERTY;

EID: 0033387910     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0469(1999)056<3997:TTTOSC>2.0.CO;2     Document Type: Article

References (34)

1. Ackerman, S. A., and G. L. Stephens, 1987: The absorption of solar radiation by cloud droplets: An application of anomalous diffraction theory. J. Atmos. Sci., 44, 1574-1588.
2. Aleksandrov, E. L., and K. B. Yudin, 1979: On the vertical profile of the cloud microstructure in stratiform clouds. Sov. Meteor. Hydrol., 12, 47-61.
3. Austin, P. H., M. B. Baker, A. M. Blyth, and J. B. Jensen, 1985: Small-scale variability in warm continental cumulus clouds. J. Atmos. Sci., 42, 1123-1138.
4. Baker, M. B., R. E. Briedenthal, T. W. Choularton, and J. Latham, 1984: The effects of turbulent mixing in clouds. J. Atmos. Sci., 41, 299-304.
5. Bartlett, J. T., and P. R. Jonas, 1972: On the dispersions of the sizes of droplets growing by condensation in turbulent clouds. Quart. J. Roy. Meteor. Soc., 98, 150-164.
6. Considine, G., and J. A. Curry, 1996: A statistical model of drop size spectra for stratocumulus clouds. Quart. J. Roy. Meteor. Soc., 122, 611-634.
7. Cotton, W. R., and R. A. Anthes, 1989: Storm and Cloud Dynamics. Academic Press, 883 pp.
8. Curry, J. A., 1986: Interactions among turbulence, radiation and microphysics in Arctic stratus clouds. J. Atmos. Sci., 43, 525-538.
9. _, E. E. Ebert, and G. F. Herman, 1988: Mean and turbulent structure of the summertime Arctic cloudy boundary layer. Quart. J. Roy. Meteor. Soc., 114, 715-746.
10. Deirmendijan, D., 1969: Electromagnetic Scattering on Spherical Polydispersions. Elsevier, 291 pp.
11. Dmitrieva-Arrago, L. R, and I. V. Akimov, 1998: A method for calculation of nonconvective precipitation on the basis of liquid water content forecast with account for cloud microphysics. Sov. Meteor. Hydrol., 11, 47-59.
12. Feingold, G., B. Stevens, W. R. Cotton, and R. L. Walko, 1994: An explicit cloud microphysics/LES model designed to simulate the Twomey effect. Atmos. Res., 33, 207-233.
13. Fowler, L. D., D. A. Randall, and S. A. Rutledge, 1996: Liquid and ice cloud microphysics in the CSU general circulation model. Part I: Model description and simulated microphysical processes. J. Climate, 9, 489-529.
14. Herman, G. F., and J. A. Curry, 1984: Observational and theoretical studies of solar radiation in Arctic stratus clouds. J. Climate Appl. Meteor., 23, 5-24.
15. Heymsfield, A. J., and C. M. R. Platt, 1984: A parameterization of the particle size spectrum of ice clouds in terms of the ambient temperature and the ice water content. J. Atmos. Sci., 41, 846-855.
16. Khvorostyanov, V., 1995: Mesoscale processes of cloud formation. cloud-radiation interaction and their modelling with explicit cloud microphysics. Atmos. Res. 39, 1-67.
17. _, and J. A. Curry, 1999: Toward the theory of stochastic condensation in clouds. Part I: A general kinetic equation. J. Atmos. Sci., 56, 3985-3996.
18. Landau, L. D., and E. M. Lifshitz, 1958: Quantum Mechanics, Non-Relativistic Theory. Vol. 3, Course of Theoretical Physics, J. B. Sykes and J. S. Bell, Translators, Addison-Wesley, 526 pp.
19. Levin, L. M., and Y. S. Sedunov, 1966: Stochastic condensation of drops and kinetics of cloud spectrum formation. J. Rech. Atmos., 2, 425-432.
20. Manton, M. J., 1979: On the broadening of a droplet distribution by turbulence near cloud base. Quart. J. Roy. Meteor. Soc., 105, 899-914.
21. Mason, B. J., 1971: Physics of Clouds. Clarendon Press, 481 pp.
22. Matveev, L. T., 1984: Cloud Dynamics. D. Reidel, 421 pp.
23. Mitchell, D. L., and W. P. Arnott, 1994: A model predicting the evolution of ice particle size spectra and radiative properties of cirrus clouds. Part II: Dependence of absorption and extintion on ice crystal morphology. J. Atmos. Sci., 51, 817-832.
24. Noonkester, V. R., 1984: Droplet spectra observed in marine stratus cloud layers. J. Atmos. Sci., 41, 829-845.
25. Pruppacher, H. R., and J. D. Klett, 1997: Microphysics of Clouds and Precipitation. 2d ed., Kluwer, 997 pp.
26. Ryan, B. F., 1996: On the global variation of precipitating layer clouds. Bull. Amer. Meteor. Soc., 77, 53-70.
27. Sedunov, Y. S., 1974: Physics of Drop Formation in the Atmosphere. Wiley, 234 pp.
28. Smirnov, V. I., and L. A. Nadeykina, 1986: On the theory of the drop size spectrum formed by condensation in turbulent cloud. Izv. Acad. Sci. USSR, Atmos. Oceanic Phys., 22, 478-487.
29. Stepanov, A. S., 1975: Condensational growth of cloud droplets in a turbulized atmosphere. Izv. Akad. Sci. USSR, Atmos. Oceanic Phys., 11, 27-42.
30. Stephens, G. L., S. C. Tsay, P. W. Stackhouse, and P. J. Flatau, 1990: The relevance of microphysical and radiative propserties of cirrus clouds to climate and climate feedback. J. Atmos. Sci., 47, 1742-1753.
31. Tsay, S. C., and K. Jayaweera, 1984: Physical characteristics of Arctic Stratus clouds. J. Climate Appl. Meteor., 23, 584-596.
32. Voloshchuk, V. M., and Y. S. Sedunov, 1977: A kinetic equation for the evolution of the droplet spectrum in a turbulent medium in the condensation state of cloud development. Sov. Meteor. Hydrol., 3, 3-14.
33. Warner, J., 1969a: The microstructure of cumulus cloud. Part I. General features of the droplet spectrum. J. Atmos. Sci., 26, 1049-1059.
34. _, 1969b: The microstructure of cumulus cloud. Part II. The effect on droplet size distribution of the cloud nucleus spectrum and vertical velocity. J. Atmos. Sci., 26, 1272-1282.