Summary
In the present work a turbulence model is set up which shows accrescence qualities for small droplets during its time of diffusion dissociation. At the same time the life time of the single element, and by that the quantitative accrescence ratio which originates in an turbulence element, is defined by the genral turbulence statistic.
By means of a calculated example it is shown how the accrescence density in one real situation is being computed for a whole statistical ensemble. The results show good conformity with available experimental data.
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Literaturverzeichinis
H. Köhler,Über die Kondensation an verschieden grossen Kondensationskernen und die Bestimmung ihrer Anzahl, Gerlands Beitrag zur Geophysik29, 168–186 (1931).
H. Köhler,The Nucleus and the Growth of Hygroskopic Droplets, Trans. Faraday Soc.32, 1152 (1936).
W. E. Howell,The Growth of Cloud Drops in Uniformly Cooled Air, Journ. of Meterology6, 134–149 (1949).
I. Bergeron,On the Physics of Clouds and Precipitation, Mém. de l'Union géod. géophys. int. Lisbon (1933).
W. Findeisen,Die kolloidmeteorologischen Vorgänge der Niederschlagsbildung, Meteo. Z.55, 121–133 (1938).
I. Langmuir andK. B. Blodgett,A Mathematical Investigation of Water Droplet Trajectories, Army Air Force Techn. Report No. 5418, 66pp, Washington DC (1946).
I. Langmuir andK. B. Blodgett,The Production of Rain by a Chain Reaction in Cumulus Clouds at Temperature above Freezing, Journ. of Meterology5, 175–192 (1948).
W. J. Kotsch,An Example of Colloidal Instability of Clouds in Tropical Latitudes, Bull. Americ. Meteor. Soc.28, 79–87 (1947).
E. H. Ludlam andB. J. Mason,Growth of a Droplet by Accretion, Handbuch der Physik48, 497 (1960).
M. Neiburger andC. W. Chien,Computations of the Growth of Cloud Drops by Condensation Using an Electronic Digital Computer, U.C.L.A. Dept. of Meteor., Contribution to Meteor. No. 40.
G. Gotsch undS. Bernasconi,Über die Kondensation verschiedener Dämpfe bei adiabatischer Expansion, ZAMP10, 509 (1959).
A. Gyr,Theoretical Reflections on the Growth of Droplets under Extreme Cooling Conditions, ZAMP13, 288–293 (1962).
A. Gyr,Die Kleintropfenbewegung in einem homogenen isotropen Turbulenzfeld, ZAMP14, 449–455 (1963).
C. F. von Weizsäcker,Das Spektrum der Turbulenz bei grossen Reynoldschen Zahlen, Z. f. Physik124, 614–627 (1948).
W. Heisenberg,Zur statistischen Theorie der Turbulenz, Z. f. Physik124, 628–657 (1948).
R. W. Stewart andA. A. Townsend,Similarity and Self-preservation in Isotropic Turbulence, Phil. Trans.-Roy. Soc. London243A, 359–386 (1951).
H. A. Einstein andE-S. A. El-Samni,Hydrodynamic Forces on a Rough Wall, Rev. of mod. Phys.21, 520–524 (1949).
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Gyr, A. Ein Tropfenakkreszenzmodell in Atmosphäre von homogen isotroper Turbulenz. Journal of Applied Mathematics and Physics (ZAMP) 16, 721–739 (1965). https://doi.org/10.1007/BF01614100
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DOI: https://doi.org/10.1007/BF01614100