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Coalescence and separation in binary collisions of liquid drops

Published online by Cambridge University Press:  26 April 2006

N. Ashgriz  and
J. Y. Poo
N. Ashgriz
Affiliation:
Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, Buffalo, NY 14260, USA
J. Y. Poo
Affiliation:
Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, Buffalo, NY 14260, USA
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Abstract

An extensive experimental investigation of the binary collision dynamics of water drops for size ratios of 1. 0.75, and 0.5, for the Weber-number range of 1 to 100, and for all impact parameters is reported. Two different types of separating collisions, namely reflexive and stretching separations, are identified. Reflexive separation is found to occur for near head-on collisions, while stretching separation occurs for large-impact-parameter collisions. The boundaries between both of the separating collisions and coalescence collision are found experimentally. Theoretical models for predictions of the reflexive and stretching separation are also given.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 221 , December 1990 , pp. 183 - 204
Copyright
© 1990 Cambridge University Press

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References

Adam, J. R., Lindblad, N. R. & Hendricks, C. D., 1968 The collision, coalescence and disruption of water droplets. J. Appl. Phys. 39, 5173–5180.Google Scholar
Arkhipov, V. A., Vasenin, I. M. & Trofimov, V. F., 1983 Stability of colliding drops of ideal liquid. Tomsk. Translated from Zh. Prikl. Mekh. Tekh. Fiz. 3, 95–98.
Ashgriz, N. & Givi, P., 1987 Binary collision dynamics of fuel droplets. Intl J. Heat Fluid Flow 8, 205–210.Google Scholar
Ashgriz, N. & Givi, P., 1989 Coalescence efficiencies of fuel droplets in binary collisions. Intl Commun. Heat Mass Transfer 16, 11–20.Google Scholar
Bradley, S. G. & Stow, C. D., 1978 Collisions between liquid drops. Phil. Trans. R. Soc. Lond. A 287, 635–678.Google Scholar
Bradley, S. G. & Stow, C. D., 1979 On the production of satellite droplets during collisions between water drops falling in still air. J. Atmos. Sci. 36, 494–500.Google Scholar
Brazier-Smith, P. R., Jennings, S. G. & Latham, J., 1972 The interaction of falling water drops: coalescence. Proc. R. Soc. Lond. A 326, 393–408.Google Scholar
Cotton, W. R. & Gokhale, N. R., 1967 Collision, coalescence and breakup of large water drops in a vertical wind tunnel. J. Geophys. Res. 72, 4041–4049.Google Scholar
Gorbachev, S. V. & Mustel, E. R., 1935 The lower stability limit of drops upon impact. Kolloidzeitschrift 73, 20–24.Google Scholar
Gorbachev, S. V. & Nikiforova, V. M., 1935 The upper stability limit of drops upon impact. Kolloidzeitschrift 73, 14–20.Google Scholar
Jayaratne, O. W. & Mason, B. J., 1964 The coalescence and bouncing of water drops at an air/water interface. Proc. R. Soc. Lond. A 280, 545–565.Google Scholar
Jiang, Y. J., Umemura, A. & Law, C. K., 1990 An experimental investigation on the collision behaviour of hydrocarbon droplets. J. Fluid Mech. (submitted).Google Scholar
Levin, Z., Neiburger, M. & Rodriguez, L., 1973 Experimental evaluation of collection and coalescence, efficiencies of cloud drops. J. Atmos. Sci. 30, 944–946.Google Scholar
List, R. & Whelpdale, D. M., 1969 A preliminary investigation of factors affecting the coalescence of colliding water drops. J. Atmos. Sci. 26, 305–308.Google Scholar
Low, T. B. & List, R., 1982a Collision, coalescence and breakup of raindrops. Part I: Experimentally established coalescence efficiencies and fragment size distributions in breakup. J. Atmos. Sci. 39, 1591–1606.Google Scholar
Low, T. B. & List, R., 1982b Collision, coalescence and breakup of raindrops. Part II: Parameterization of fragment size distribution. J. Atmos. Sci. 39, 1607–1618.Google Scholar
Mctaggart, J. D. & List, R., 1975 Collision and breakup of water drops at terminal velocity. J. Atmos. Sci. 32, 1401–1411.Google Scholar
O'Rourke, P. J. & Bracco, F. V. 1980 Modelling of drop interactions in thick sprays and a comparison with experiments. Stratified Charged Auto Engng Conf., pp. 101–116. Inst. Mech. Engng.
Park, J. Y. & Blair, L. M., 1975 The effect of coalescence on drop size distribution in an agitated liquid-liquid dispersion. Chem. Engng Sci. 30, 1057–1064.Google Scholar
Park, R. W.: 1970 Behavior of water drops colliding in humid nitrogen. Ph.D. thesis, Department of Chemical Engineering, The University of Wisconsin, p. 577.
Podvysotsky, A. M. & Shraiber, A. A., 1984 Coalescence and breakup of drops in two phase flows. Intl J. Multiphase Flow 10, 195–209.Google Scholar
Poo, J. Y.: 1989 Experimental and numerical investigation of the binary drop collisions. Ph.D. thesis, Dept. Mech. and Aero. Eng., State University of New York at Buffalo.
Rayleigh, Lord: 1945 The Theory of Sound, vol. 2. Dover.
Ryley, D. J. & Bennett-Cowell, B. N. 1967 The collision behavior of steam-borne water drops. Intl J. Mech. Sci. 9, 817–833.Google Scholar
Schotland, R. M.: 1960 Experimental results relating to the coalescence of water drops with water surfaces. Discuss. Faraday Soc. 30, 72–77.Google Scholar
Shah, P. S., Fan, L. T., Kao, I. C. & Erickson, L. E., 1972 Modeling of growth processes with two liquid phases: A review of drop phenomena, mixing and growth. Adv. Appl. Microbiol. 15, 367–414.Google Scholar
Spengler, J. D. & Gokhale, N. R., 1973 Drop impactions. J. Appl. Met. 12, 316–321.Google Scholar
Vasenin, I. M., Arkhipov, V. A., Butov, V. G., Glazunov, A. A. & Trofimov, V. F., 1986 Gas dynamics of two phase flow in nozzles. TOMSK University Press.
Wasan, D. T. & Malhotra, A. K., 1986 Thin liquid surfactant film drainage phenomena - a review. In Thin Liquid Film Phenomena (ed. W. B. Krantz, D. T. Wasan & R. K. Jain), AIChE Symposium Series B, vol. 82 (252), pp. 5–13.
Weinbaum, S., Chen, L. & Ganatos, P., 1989 Elastohydrodynamic collision and rebound of a flat plate from a planar surface due to body and fluid inertia. Phys. Fluids A 1, 140–155.Google Scholar