Abstract
In this paper we consider the motion of a gas bubble embedded in a nonuniform perfect flow field, in the case where the compressibility of the liquid can be neglected. It is demonstrated that due to the presence of the ambient nonstationary flow field, the effect of the bubble’s self-propulsion is significantly enhanced. In a cloud of bubbles undergoing only volume deformations (but otherwise being at rest), the phenomenon of bubble coalescence is also more pronounced.
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References
Arnold V.I. 1989 Mathematical Methods in Mechanics. Springer-Verlag. New York
Batchelor, G. 1967 An introduction to Fluid Dynamics. Cambridge University Press.
Benjamin T.B. & Ellis ,A.T. 1990 Self-propulsion of asymmetrically vibrating bubbles. J. Fluid Mech. 212,65–80.
Galper, A. & Miloh, T. 1994 Generalized KirchhofF equations for a deformable body moving in a weakly nonuniform flow field. Proc. Roy. Soc. London A. (in press)
Galper, A. & Miloh, T. 1994a Dynamical equations of motion for a deformable body in an arbitrary non-uniform potential flow field, submitted to J. Fluid Mech.
Hunt, J. C. R., Perkins, R. J., & Fung, J. C. H. 1993 Review of the problems of modeling disperse two-phase flows Proc. of the 3rd International Symposium on two-phase flows.
Katz, J & Meneveau C. 1993 On coalescence and size distribution of bubbles rising in a stagnant liquid. (Under review)
Lamb, H. 1945 Hydrodynamics. New York Dover
Landweber, L. & Miloh, T. 1980 The Lagally theorem for unsteady multipoles and deformable bodies. J. Fluid Mech. 96, 33–46
Miloh, T. & Galper A. 1993 Self-propulsion of a maneuvering deformable body in a perfect fluid. Proc. Roy. Soc. London A 442, 273–299
Oguz, H. N. & Prosperetti, A. 1990 A generalization of the impulse and virial theorems with an application to bubble oscillations. J. Fluid Mech. 218,143–162
Prosperetti, A 1984 Bubble phenomena in sound fields: part two. Ultrasonics 22,115–23 Voinov, V., Voinov, O. & Petrov, A. 1973 Hydrodynamic interaction between bodies in a perfect incompressible fluid and their motion in nonuniform strains. Prikl. Math. Mech 37, 680–689
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© 1994 Springer Science+Business Media Dordrecht
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Galper, A., Miloh, T. (1994). Self-propulsion of bubbles in a weakly nonuniform flow field. In: Blake, J.R., Boulton-Stone, J.M., Thomas, N.H. (eds) Bubble Dynamics and Interface Phenomena. Fluid Mechanics and Its Applications, vol 23. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0938-3_7
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DOI: https://doi.org/10.1007/978-94-011-0938-3_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4404-2
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