Abstract
A solution is given for the problem of the hydrodynamic reaction of an ellipsoidal gas bubble of variable volume to accelerated motion and the relation between the value of the apparent mass and the eccentricity of the bubble.
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Abbreviations
- ϕ(ξ,η):
-
velocity potential
- V:
-
velocity of motion of the bubble with respect to the liquid
- φ(ξ, η):
-
velocity potential of the near field
- T2 :
-
kinetic energy of the liquid due to the variation in bubble volume
- Fr :
-
reaction force of the liquid
- B1 :
-
momentum of the liquid
- λe :
-
apparent mass of the ellipsoid
- ρ :
-
density of the liquid
- Ve :
-
volume of the ellipsoidal bubble
Literature cited
V. N. Kuchkin, “Motion of gas bubbles in an unbounded volume of a fixed liquid in a gravitational force field,” Inzh.-Fiz. Zh.,38, No. 1, 107–111 (1980).
N. E. Kochin, I. A. Kibel', and N. V. Roze, Theoretical Fluid Mechanics [in Russian], GITTL, Moscow-Leningrad (1948).
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 1, pp. 47–50, July, 1980.
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Dymenko, S.K., Kuchkin, V.N. Hydrodynamic reaction to accelerated onedimensional motion of gas bubbles of variable volume in an unbounded liquid. Journal of Engineering Physics 39, 747–750 (1980). https://doi.org/10.1007/BF00821827
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DOI: https://doi.org/10.1007/BF00821827