The capacitance of pristine ice crystals and aggregate snowflakes

Journal of the Atmospheric Sciences

Volumn 65, Issue 1, 2008, Pages 206-219

  Westbrook, Christopher David ^a   Hogan, Robin J ^a   Illingworth, Anthony J ^a  

^a UNIVERSITY OF READING   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALS; EVAPORATION; ICE; LAPLACE EQUATION; MATHEMATICAL MODELS; SUBLIMATION;

ICE CRYSTAL; NUMERICAL WEATHER MODEL; SNOWFLAKES;

SNOW;

CRYSTALS; EVAPORATION; ICE; LAPLACE EQUATION; MATHEMATICAL MODELS; SNOW; SUBLIMATION;

GROWTH RATE; ICE CRYSTAL; NUMERICAL MODEL; RANDOM WALK METHOD; SNOW; SUBLIMATION;

EID: 38849126136     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/2007JAS2315.1     Document Type: Article

References (41)

1. Bailey, M., and J. Hallett, 2004: Growth rates and habits of ice crystals between -20° and -70°C. J. Atmos. Sci., 61, 514-544.
2. Ball, R. C., and T. A. Witten, 1984: Causality bound on the density of aggregates. Phys. Rev. A, 29, 2966-2967.
3. Bowler, N. E., and R. C. Ball, 2005: Off-lattice noise reduced diffusion-limited aggregation in three dimensions. Phys. Rev. E, 71, 011403, doi:10.1103/PhysRevE.71.011403.
4. Brown, P. R. A., and P. N. Francis, 1995: Improved measurements of the ice water content in cirrus using a total-water probe. J. Atmos. Oceanic Technol., 12, 410-414.
5. Chiruta, M., and P. K. Wang, 2003: The capacitance of rosette ice crystals. J. Atmos. Sci., 60, 836-846.
6. Chiruta, M., and P. K. Wang, 2005: The capacitance of solid and hollow hexagonal ice columns. Geophys. Res. Lett., 32, L05803, doi:10.1029/2004GL021771.
7. Falconer, K., 2003: Fractal Geometry: Mathematical Foundations and Applications. 2nd ed. John Wiley & Sons, 337 pp.
8. Field, P. R., and A. J. Heymsfield, 2003: Aggregation and scaling of ice crystal size distributions. J. Atmos. Sci., 60, 544-560.
9. Field, P. R., A. J. Heymsfield, and C. H. Twohy, 2008: Determination of the combined ventilation factor and capacitance for ice crystal aggregates from airborne observations in a tropical anvil cloud. J. Atmos. Sci., in press.
10. Forbes, R. M., and R. J. Hogan, 2006: Observations of the depth of ice particle evaporation beneath frontal cloud to improve NWP modelling. Quart. J. Roy. Meteor. Soc., 132, 865-883.
11. Fukuta, N., and T. Takahashi, 1999: The growth of atmospheric ice crystals: A summary of findings in vertical supercooled cloud tunnel studies. J. Atmos. Sci., 56, 1964-1979.
12. Goold, N. R., E. Somfai, and R. C. Ball, 2005: Anisotropic diffusion-limited aggregation in three dimensions: Universality and nonuniversality. Phys. Rev. E, 72, 031403, doi:10.1103/ PhysRevE.72.031403.
13. Hall, W. D., and H. R. Pruppacher, 1976: The survival of ice particles falling from cirrus clouds in subsaturated air. J. Atmos. Sci., 33, 1995-2006.
14. Heymsfield, A. J., and J. Iaquinta, 2000: Cirrus crystal terminal velocities. J. Atmos. Sci., 57, 916-938.
15. Heymsfield, A. J., S. Lewis, A. Bansemer, J. Iaquinta, L. M. Miloshevich, M. Kajikawa, C. Twohy, and M. R. Poellot, 2002: A general approach for deriving the properties of cirrus and stratiform ice particles. J. Atmos. Sci., 59, 3-29.
16. Hwang, C.-O., and M. Mascagni, 2004: Electrical capacitance of the unit cube. J. Appl. Phys., 95, 3798-3802.
17. Jiusto, J. E., and H. K. Weickmann, 1973: Types of snowfall. Bull. Amer. Meteor. Soc., 54, 1148-1162.
18. Khain, A. P., and I. Sednev, 1996: Simulation of precipitation formation in the Eastern Mediterranean coastal zone using a spectral microphysics cloud ensemble model. Atmos. Res., 43, 77-110.
19. Korolev, A. V., and G. A. Isaac, 2004: Observations of sublimating ice particles in clouds. Proc. 14th Int. Conf. on Clouds and Precipitation, Bologna, Italy, International Commission of Clouds and Precipitation, 808-811.
20. Korolev, A. V., M. P. Bailey, J. Hallett, and G. A. Isaac, 2004: Laboratory and in situ observations of deposition growth of frozen drops. J. Appl. Meteor., 43, 612-622.
21. Langer, J. S., 1980: Instabilities and pattern formation in crystal growth. Rev. Mod. Phys., 52, 1-28.
22. Liu, H.-C., P. K. Wang, and R. E. Schlesinger, 2003: A numerical study of cirrus clouds. Part I: Model description. J. Atmos. Sci., 60, 1075-1084.
23. Macke, A., J. Mueller, and E. Raschke, 1996: Single scattering properties of atmospheric ice crystals. J. Atmos. Sci., 53, 2813-2825.
24. Magee, N., A. M. Moyle, and D. Lamb, 2006: Experimental determination of the deposition coefficient of small cirrus-like ice crystals near -50°C. Geophys. Res. Lett., 33, L17813, doi:10.1029/ 2006GL026665.
25. Mascagni, M., and C.-O. Hwang, 2003: E-shell error analysis for "walk on spheres" algorithm. Math. Comput. Simul., 63, 93-104.
26. McDonald, J. E., 1963: Use of the electrostatic analogy in studies of ice crystal growth. Z. Angew. Math. Phys., 14, 610-620.
27. Mullins, W. W., and R. F. Sekerka, 1963: Morphological stability of a particle growing by diffusion or heat flow. J. Appl. Phys., 34, 323-329.
28. Nelson, J., 1998: Sublimation of ice crystals. J. Atmos. Sci., 55, 910-919.
29. Podzimek, J., 1966: Experimental determination of the capacity of ice crystals. Stud. Geophys. Geod., 10, 235-238.
30. Pólya, G., and G. Szegö, 1951: Isoperimetric Inequalities in Mathematical Physics. Annals of Mathematical Studies, Vol. 27, Princeton University Press, 279 pp.
31. Pruppacher, H. R., and J. D. Klett, 1997: Microphysics of Clouds and Precipitation. 2nd ed. Kluwer Academic, 954 pp.
32. Sander, L. M., 2000: Diffusion-limited aggregation: A kinetic critical phenomenon. Contemp. Phys., 41, 203-218.
33. Smythe, W. R., 1962: Charged right circular cylinder. J. Appl. Phys., 33, 2966-2967.
34. Swanson, B. D., N. J. Bacon, E. J. Davis, and M. B. Baker, 1999: Electrodynamic trapping and manipulation of ice crystals. Quart. J. Roy. Meteor. Soc., 125, 1039-1058.
35. Westbrook, C. D., R. C. Ball, P. R. Field, and A. J. Heymsfield, 2004: Universality in snowflake aggregation. Geophys. Res. Lett., 31, L15104, doi:10.1029/2004GL020363.
36. Westbrook, C. D., R. J. Hogan, A. J. Illingworth, and E. J. O'Connor, 2007: Theory and observations of ice particle evolution in cirrus using Doppler radar: Evidence for aggregation. Geophys. Res. Lett., 34, L02824, doi:10.1029/2006GL027863.
37. Wilson, D. R., and S. P. Ballard, 1999: A microphysically based precipitation scheme for the UK Meterological Office Unified Model. Quart. J. Roy. Meteor. Soc., 125, 1607-1636.
38. Wintle, H. J., 2004: The capacitance of the cube and square plate by random walk methods. J. Electrost., 62, 51-62.
39. Witten, T. A., Jr., and L. M. Sander, 1981: Diffusion-limited aggregation, a kinetic critical phenomenon. Phys. Rev. Lett., 47, 1400-1403.
40. Woods, C. P., M. T. Stoelinga, J. D. Locatelli, and P. V. Hobbs, 2007: The IMPROVE-1 storm of 1-2 February 2001. Part III: Sensitivity of a mesoscale model simulation to the representation of snow particle types and testing of a bulk microphysical scheme with snow habit prediction. J. Atmos. Sci., 64, 3927-3948.
41. Zhou, H.-X, A. Szabo, J. F. Douglas, and J. B. Hubbard, 1994: A Brownian dynamics algorithm for calculating the hydrodynamic friction and the electrostatic capacitance of an arbitrarily shaped object. J. Chem. Phys., 100, 3821-3826.