The problem of determining the rate of rise of large gas bubbles in an infinite volume and a vertical tube is considered. In the first case the shape of the bubble is constructed by “gluing together” the front surface immersed in a flow of ideal liquid and the rear surface being formed under the action of gravitational and capillary forces, and in the second case the solution of the Laplace equation is constructed for the velocity potential in the problem of ideal liquid flow in a tube around a semiinfinite cylindrical body with a hemispherical frontal part.
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G. Wallis, One-Dimensional Two-Phase Flows [Russian translation], Moscow (1970).
J. Batchelor, Introduction to the Dynamics of a Fluid [Russian translation], Moscow (1973).
J. F. Harper, Adv. Appl. Mech.,12, 59–129 (1972).
D. T. Dumitrescu, ZAMM,23, 139–148 (1943).
R. M. Davies and G. I. Taylor, Proc. Roy. Soc.,200-A, 377–386 (1950).
D. A. Labuntsov and Yu. B. Zudin, Trudy MÉI, Issue268 72–78 (1975).
Yu. B. Zudin, Trudy MÉI, Issue268, 79–86 (1975).
D. A. Labuntsov and Yu. B. Zudin, Trudy MÉI, Issue 310, 107–115 (1976).
G. Birkhoff and E. H. Zarantonello, Jets, Wakes and Cavities, Academic Press Inc. Publishers, New York (1957).
V. G. Babskii, N. D. Kopachevskii, A. D. Myshkis, et al., The Hydromechanics of Weightlessness [in Russian], Moscow (1976).
H. D. Mendelson, AIChE J.,13, No. 2, 250–254 (1967).
E. Gray and G. B. Mathews, Bessel Functions and Their Applications to Physics and Mechanics [Russian translation], Moscow (1953).
L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Moscow (1962).
Yu. B. Zudin, Inzh.-Fiz. Zh.,63, No. 1, 28–31 (1992).
Moscow Power Engineering Institute, Moscow. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 68, No. 1, pp. 13–18, January–February, 1995.
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Zudin, Y.B. Calculation of the rise velocity of large gas bubbles. J Eng Phys Thermophys 68, 10–15 (1995). https://doi.org/10.1007/BF00854360
- Statistical Physic
- Liquid Flow
- Capillary Force
- Laplace Equation
- Front Surface