Single-drop fragmentation determines size distribution of raindrops

Nature Physics

Volumn 5, Issue 9, 2009, Pages 697-702

  Villermaux, Emmanuel ^a,b   Bossa, Benjamin ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b INSTITUT UNIVERSITAIRE DE FRANCE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DROP FORMATION; RAIN;

COLLISION TIME; FIRST PRINCIPLES; GROUND LEVEL; MARSHALL-PALMER; MUTUAL INTERACTION; NATURAL OBJECTS; SMALL DROPLETS; TOPOLOGICAL CHANGES;

SIZE DISTRIBUTION;

EID: 70249118482     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys1340     Document Type: Article

References (45)

1. Bentley, W. Studies of raindrops and raindrop phenomena. Mon. Weath. Rev. 10, 450-456 (1904).
2. von Lenard, P. Über regen. Meteorol. Z. 06, 92-262 (1904).
3. Laws, J. & Parsons, D. The relation of raindrop-size to intensity, ii. Trans. Am. Geophys. Union 24, 452-460 (1943).
4. Marshall, J. S. & Palmer, W. M. The distribution of raindrops with size. J. Meteorol. 5, 165-166 (1948).
5. Houze, R. A., Hobbs, P. V. & Herzegh, P. H. Size distributions of precipitation particles in frontal clouds. J. Atom. Sci. 36, 156-162 (1979).
6. Mason, B. J. The Physics of Clouds (Clarendon, 1971).
7. Ulbrich, W. C. A review of the differential reflectivity technique of measuring rainfall. IEEE Trans. Geosci. Remote Sensing GE-24, 955-965 (1986).
8. Testik, F. Y. & Barros, A. P. Towards elucidating the microstructure of warm rainfall: A survey. Rev. Geophys. 45, 1-21 (2007).
9. Langmuir, I. The production of rain by a chain reaction in cumulus clouds at temperature above freezing. J. Meteorol. 5, 175-192 (1948).
10. Falkovich, G., Fouxon, A. & Stepanov, M. Acceleration of rain initiation by turbulence. Nature 419, 151-154 (2002).
11. Pruppacher, H. R. & Klett, J. D. Microphysics of Clouds and Precipitation (Kluwer-Academic, 1997).
12. Kombayasi, M., Gonda, T. & Isono, K. Life time of water drops before breaking and size distribution of fragment droplets. J. Met. Soc. Japan 42, 330-340 (1964).
13. Srivastava, R. Size distribution of raindrops generated by their breakup and coalescence. J. Atmos. Sci. 28, 410-415 (1971).
14. Low, T. & List, R. Collision, coalescence and breakup of raindrops. Part i: Experimentally established coalescence efficiencies and fragment size distributions in breakup. J. Atmos. Sci. 39, 1591-1606 (1982).
15. Seinfeld, J. H. & Pandis, S. N. Atmospheric Chemistry and Physics (Wiley, 1998).
16. Barros, A. P., Prat, O. P., Shrestha, P., Testik, F. Y. & Bliven, L. F. Revisiting Low and List (1982): Evaluation of raindrop collision parametrizations using laboratory observations and modeling. J. Atmos. Sci. 65, 2983-2993 (2008).
17. Kostinski, A. B. & Jameson, A. Fluctuation properties of precipitation. Part iii. On the ubiquity and emergence of the exponential drop size spectra. J. Atmos. Sci. 56, 111-121 (1999).
18. Lane, W. Shatter of drops in streams of air. Ind. Eng. Chem. 43, 1312-1317 (1951).
19. Pilch, M. & Erdman, C. Use of breakup time data and velocity history data to predict the maximum size of stable fragments for acceleration-induced breakup of a liquid drop. Int. J. Multiphase Flow 13, 741-757 (1987).
20. Chou, W.-H. & Faeth, G. M. Temporal properties of secondary drop breakup in the bag breakup regime. Int. J. Multiphase Flow 24, 889-912 (1998).
21. Hanson, A. R., Domich, E. G. & Adams, H. S. Shock tube investigation of the break-up of drops by air blasts. Phys. Fluids 6, 1070-1080 (1963).
22. Ranger, A. A. & Nicholls, A. J. Aerodynamic shattering of liquid drops. AIAA J. 7, 285-290 (1969).
23. Fournier d?Albe, E. M. & Hidayetulla, S. M. The break-up of large water drops falling at terminal velocity in free air. Q. J. R. Meteorol. Soc. 81, 610-613 (1955).
24. Magarvey, H. R. & Taylor, W. B. Free fall breakup of large drops. J. Appl. Phys. 27, 1129-1135 (1956).
25. Magarvey, H. R. & Taylor, W. B. Shattering of large drops. Nature 177, 745-746 (1956).
26. Alusa, A. L. & Blanchard, D. C. Drop size distribution produced by the breakup of large drops under turbulence. J. Recherches Atmos. VII, 1-9 (1971).
27. Villermaux, E. Fragmentation. Annu. Rev. Fluid Mech. 39, 419-446 (2007).
28. Thomson, J. J. & Newall, M. A. On the formation of vortex rings by drops. Proc. R. Soc. London 39, 417-436 (1885).
29. Buah-Bassuah, P. K., Rojas, R., Residori, S. & Arecchi, F. T. Fragmentation instability of a liquid drop falling inside a heavier miscible fluid. Phys. Rev. E 72, 067301 (2005).
30. Batchelor, G. K. An Introduction to Fluid Dynamics (Cambridge Univ. Press, 1967).
31. Lamb, H. Hydrodynamics 6th edn (Cambridge Univ. Press, 1932).
32. Hinze, J. O. Fundamentals of the hydrodynamic mechanism of splitting in dispersion processes. AIChE J. 1, 289-295 (1949).
33. Paruchuri, S. & Brenner, M. P. Splitting of a jet. Phys. Rev. Lett. 98, 134502 (2007).
34. Taylor, G. I. The shape and acceleration of a drop in a high speed air stream. Collected Papers III, 457-464 (1949).
35. Engel, O. G. Fragmentation of water drops in the zone behind an air shock. J. Res. Nat. Bur. Stand. 60, 245-280 (1958).
36. Bremond, N. & Villermaux, E. Bursting thin liquid films. J. Fluid Mech. 524, 121-130 (2005).
37. Reyssat, E., Chevy, F., Biance, A. L., Petitjean, L. & Quéré, D. Shape and instability of free-falling liquid globules. Europhys. Lett. 34005 (2007).
38. Matthews, B. J. & Mason, J. B. Electrification produced by the rupture of large water drops in an electric field. Q. J. R. Meteorol. Soc. 90, 275-286 (1964).
39. Ulbrich, W. C. Natural variations in the analytical form of the raindrop size distribution. J. Clim. Appl. Meteorol. 22, 1764-1775 (1983).
40. Blanchard, D. C. & Spencer, A. T. Experiments on the generation of raindrop-size distributions by drop breakup. J. Atmos. Sci. 27, 101-108 (1970).
41. Liu, Y. Statistical theory of the Marshall-Palmer distribution of raindrops. Atmos. Eng. 27A, 15-19 (1993).
42. Jameson, A. R. & Kostinski, A. A. What is a raindrop size distribution? Bull. Am. Meteorol. Soc. 82, 1169 (2001).
43. Blanchard, D. C. Raindrop size distribution in Hawaiian rains. J. Meteorol. 10, 457-473 (1953).
44. Ohtake, T. Observations of size distributions of hydrometers through the melting layer. J. Atmos. Sci. 26, 545-557 (1969).
45. Gunn, K. L. S. & Marshall, J. S. The distribution with size of aggregate snowflakes. J. Meteorol. 15, 452-461 (1958).