Analytic solutions for evolving size distributions of spherical crystals or droplets undergoing diffusional growth in different regimes

Journal of the Atmospheric Sciences

Volumn 69, Issue 2, 2012, Pages 417-434

  Lewellen, D C ^a  

^a West Virginia University   (United States)

Author keywords

Cirrus clouds; Cloud microphysics; Contrails chemtrails; Drop size distribution; Ice loss growth; Stratiform clouds

Indexed keywords

CIRRUS CLOUDS; CLOUD MICROPHYSICS; CONTRAILS/CHEMTRAILS; DROP SIZE DISTRIBUTION; ICE LOSS/GROWTH; STRATIFORM CLOUDS;

CLOUDS; COMPUTER SIMULATION; DROPS; OSTWALD RIPENING; PHYSICS; SIZE DISTRIBUTION; SURFACE TENSION;

POPULATION STATISTICS;

ANALYTICAL FRAMEWORK; CIRRUS; CLOUD DROPLET; CLOUD MICROPHYSICS; COMPUTER SIMULATION; CRYSTAL STRUCTURE; SIZE DISTRIBUTION; STRATIFORM CLOUD;

EID: 84857221184     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/JAS-D-11-029.1     Document Type: Article

References (26)

1. Ackerman, A. S., P. V. Hobbs, and O. B. Toon, 1995: A model for particle microphysics, turbulent mixing, and radiative transfer in the stratocumulus-topped marine boundary layer and comparisons with measurements. J. Atmos. Sci., 52, 1204- 1236.
2. Celik, F., and J. D. Marwitz, 1999: Droplet spectra broadening by ripening process. Part I: Roles of curvature and salinity of cloud droplets. J. Atmos. Sci., 56, 3091-3105.
3. Field, P. R., and A. J. Heymsfeld, 2003: Aggregation and scaling of ice crystal size distributions. J. Atmos. Sci., 60, 544-560.
4. Fukuta, N., and L. A. Walter, 1970: Kinetics of hydrometeor growth from a vapor-spherical model. J. Atmos. Sci., 27, 1160-1172.
5. Hale, B., and P. Plummer, 1974: Molecular model for ice clusters in a supersaturated vapor. J. Chem. Phys., 61, 4012-4019.
6. Huebsch, W. W., and D. C. Lewellen, 2006: Sensitivity study on contrail evolution. Proc. 36th AIAA Fluid Dynamics Conf. and Exhibit, San Francisco, CA, AIAA, 2006-3749.
7. Jensen, E. J., O. B. Toon, D. L. Westphal, S. Kinne, and A. J. Heymsfield, 1994: Microphysical modeling of cirrus 1. Comparison with 1986 FIRE IFO measurements. J. Geophys. Res., 99, 10 421-10 442.
8. Jensen, E. J., and Coauthors, 2009: On the importance of small ice crystals in tropical anvil cirrus. Atmos. Chem. Phys., 9, 5519-5537.
9. Kahlweit, M., 1975: Ostwald ripening of precipitates. Adv. Colloid Interface Sci., 5, 1-35.
10. Khvorostyanov, V., and K. Sassen, 1998: Cirrus cloud simulation using explicit microphysics and radiation. Part I: Model description. J. Atmos. Sci., 55, 1808-1821.
11. Korolev, A. V., 1995: The influence of supersaturation fluctuations on droplet size spectra formation. J. Atmos. Sci., 52, 3620-3634.
12. Krämer, M., and Coauthors, 2009: Ice supersaturations and cirrus cloud crystal numbers. Atmos. Chem. Phys., 9, 3505-3522.
13. Lewellen, D. C., and W. S. Lewellen, 2001: The effects of aircraft wake dynamics on contrail development. J. Atmos. Sci., 58, 390-406.
14. Lifshitz, E. M., and L. P. Pitaevskii, 1981: Physical Kinetics. Pergamon Press, 452 pp.
15. Lifshitz, I. M., and V. V. Slyozov, 1961: The kinetics of precipitation from supersaturated solid solution. J. Phys. Chem. Solids, 19, 35-50.
16. Lin, R.-F., D. O. Starr, P. J. DeMott, R. Cotton, K. Sassen, E. Jensen, B. Kärcher, and X. Liu, 2002: Cirrus parcel model comparison project. Phase 1: The critical components to simulate cirrus initiation explicitly. J. Atmos. Sci., 59, 2305- 2329.
17. Marqusee, J. A., and J. Ross, 1984: Theory of Ostwald ripening: Competitive growth and its dependence on volume fraction. J. Chem. Phys., 80, 536-543.
18. Pruppacher, H. R., and J. D. Klett, 1997: Microphysics of Clouds and Precipitation. Kluwer Academic, 954 pp.
19. Rogers, R. R., 1976: A Short Course in Cloud Physics. Pergamon Press, 227 pp.
20. Schröder, F., and Coauthors, 2000: On the transition of contrails into cirrus clouds. J. Atmos. Sci., 57, 464-480.
21. Srivastava, R. C., 1991: Growth of cloud drops by condensation: Effects of surface tension on the dispersion of drop sizes. J. Atmos. Sci., 48, 1596-1605.
22. Straka, J., 2009: Cloud and Precipitation Microphysics. Cambridge University Press, 392 pp.
23. Wagner, C., 1961: Theorie der Alterrung von Niederschlagen durch Umlösen. Z. Elektrochem., 65, 581-591.
24. Wang, J., P. H. Daum, S. S. Yum, Y. Liu, G. I. Senum, M.-L. Lu, J. H. Seinfeld, and H. Jonsson, 2009: Observations of marine stratocumulus microphysics and implications for processes controlling droplet spectra: Results from the marine stratus/stratocumulus experiment. J. Geophys. Res., 114, D18210, doi:10.1029/2008JD011035.
25. Wood, R., S. Irons, and P. R. Jonas, 2002: How important is the spectral ripening effect in stratiform boundary layer clouds? Studies using simple trajectory analysis. J. Atmos. Sci., 59, 2681- 2693.
26. Yao, J. H., K. R. Elder, H. Guo, and M. Grant, 1993: Theory and simulation of Ostwald ripening. Phys. Rev., 47B, 14 110-14 125.