Abstract
In Chapter IV, we consider the cases in which the volume of the gas and that of the liquid are of the same order of magnitude so that the mixture of the gas and the liquid may be considered as a mixture of two continuum media and the discrete properties of gas or liquid may be ignored. We consider the average properties of the gas and the liquid as well as those of the mixture as a continuum medium. There are other practical cases in which the liquid or the gas occupies a very small volume in the mixture as a whole and we should not treat the mixture of the gas and the liquid as a mixture of two continuous media and the discrete properties for the species (liquid or gas which occupies a small volume in the mixture) become important. There are two limiting cases for this type of fluid flow: one is the atomization of liquid in a gas or in another liquid and the other is the bubble of gas in a liquid. In the first case, the formation of drops of liquid and their effects on the fluid flow as a whole are important while in the second case, it is usually referred to as bubble dynamics. There are many practical applications for the atomization of a liquid and bubble dynamics such as combution, jet engine injectors, spray-producing equipments, spray drying, boiling, meteorological problems and many other engineering applications, particularly those of chemical engineering processes. Because of the complexity of the practical problems, most of the treatments are semi-empirical in nature. Good reviews of these problems have been given in references [1,2, 3,12, 24]. In this chapter, we shall discuss only those aspects of these problems which will give us some basic understanding of these phenomena.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bikerman, J. J.: Foams: Theory and Industrial Applications. Reinhold, New York 1953.
Brodkey, R. S.: The Phenomena of Fluid Motions. Chap. 17, Addison-Wesley, Reading, 1967.
Calderbank, P. H.: Mixing: Theory and Practice, Vol. 2, Chap. 8, Ed. by V. Uhl and J. Gray, Academic Press, New York 1967.
Christiansen, R. M. and Hixon, A. N.: Breakup of a liquid jet in a denser liquid. Ing. Eng. Chemistry Vol. 49, pp. 1017–1024, 1957.
Cole, R. H.: Underwater Explosion. Dover Publications, New York 1965.
Davies, J. T. and Rideal, E. K.: Interfacial Phenomena. Academic Press, New York 1963.
Fordham, S.: On the calculation of surface tension from measurements of pendant drops. Proc. Roy. Soc. London, 194A, pp. 1–16, 1948.
Fraser, R. P. and Eisenklan, P.: Liquid Atomization and the Drop Size of Sprays, Trans. Inst. Chem. Engr. (London) Vol. 34, pp. 294–319, 1956.
Kang, S. W. and Weatherston, R. C: An analysis of thermal and diffusion effects on droplet growth rate. Rept. ARL-66–0190, Aero. Res. Lab. OAR, Wright — Patterson Field, Ohio, 1966.
Kenning, D. B. R.: Two-phase flow with non-uniform surface tension. Appl. Mech. Rev. Vol. 21, No. 11 pp. 1101–1111, Nov. 1968.
Knelman, F. Dombrowski, N. and Newitt, D. M.: Mechanism of the bursting of bubbles. Nature, London, Vol. 173, p. 261,-p. 261, 1954.
Lane, W. R. and Green, H. L.: The mechanics of drops and bubbles. Surveys in Mechanics, pp. 162–215, Cambridge Univ. Press, Ed. by G. K. Batchelor and R. M. Davis, 1956.
MacKay, G. D. M. and Mason, S. G.: The gravity approach and coalescence of fluid drops at liquid interfaces. Canadian Jour. Chem. Eng. Vol. 41, pp. 203–212, 1963.
Marshall, W. R. jr.: Atomization and spray drying. Chem. Eng. Progr. Monograph series No. 2, 50, 1954.
Pai, S. I.: Fluid Dynamics of Jets. D. Van Nostrand, 1954.
Pai, S. I.: Viscous Flow Theory. I.: Laminar Flow. D. Van Nostrand, 1956.
Peskin, R. L. and Raco, R. J.: Ultrasonic atomization of liquids Jour. Acoust. Soc. Am. Vol. 35, pp. 1378–1381,1963.
Plesset, M. S.: Bubble dynamics, Cavitation in Real Liquids, Ed. R. Davis, pp. 1–18, Elesevier Pub. Co. 1964.
Plesset, M. S. and Mitchell, T. P.: On the stability of the spherical shape of a vapor cavity in a liquid. Quarterly Appl. Math. Vol. 13, pp. 419–430, 1956.
Rayleigh, Lord: The Theory of Sound. Dover Publications, New York 1945.
Savac, P.: Circulation and distorsion of liquid drops falling through a viscous medium. Rept. Nat. Res. Council, Canada, MT-22, 1953.
Scriven, L. E.: Dynamics of a fluid interface. Chem. Eng. Science. Vol. 13, pp. 98–108, 1960.
Slattery, J. C: General balance equation for a phase interface. Ind. and Eng. Chem. Fundamentals, Vol. 6, pp. 108–115,1967.
Soo, S. L.: Fluid Dynamics of Multiphase Systems. Chap. 3, Blaisdell Publ. Co., Waltham, 1967.
Taylor, G. I.: The instability of liquid surfaces when accelerated in a direction perpendicular to their plane, I. Proc. Roy. Soc. London A-201, pp. 192–196, 1950.
Wallis, G. B.: One-dimensional Two-Phase Flow. McGraw-Hill, New York 1969.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1977 Springer Fachmedien Wiesbaden
About this chapter
Cite this chapter
Pai, SI. (1977). Atomization of a Liquid and Bubble Dynamics. In: Oswatitsch, K. (eds) Two-Phase Flows. Vieweg Tracts in Pure and Applied Physics, vol 3. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-86348-5_6
Download citation
DOI: https://doi.org/10.1007/978-3-322-86348-5_6
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08340-3
Online ISBN: 978-3-322-86348-5
eBook Packages: Springer Book Archive