On the Growth of Vapour Bubble in Metastable Liquid as Variational Problem
Article Sidebar
Main Article Content
Abstract
Bubble growing process is considered theoretically when bubble consists saturated vapour of liquid and when we have vapour-gas bubble on the base of generalized Rayleigh-Plesset equation. For this purpose we use variational method with help of which we seek for those cases corresponding Euler-Poisson equations integral curves. Obtained EP- equations allow us to find extremals of our variational task. In conclusion, the Rayleigh-Taylor instability is considered general case of nonspherical perturbances for spherical bubbles and the case of the radial perturbances of bubbles.
Article Details
References
Brennen Chr. E. Cavitation and bubble dynamics. Oxford University Press, 1995, 64 p.
Gvelesiani A. I. Statistical and thermal properties of geophysical thermodynamic systems. Transactions of Mikheil Nodia Institute of Geophysics, ISSN 1512-1135, vol. LXIX, 2018, pp. 159-181, (in Russian).
Elsgolts L. E. Variational calculation. M.: GITTL, 1958, 164 p., (in Russian).
Birkhoff G. Note on Taylor instability. Quart. Appl. Math., v. 12, 1954, pp. 306-309.
Plesset M. S., Mitchel T. P. On the stability of the spherical shape of a vapour cavity in a viscous fluid. Quart. Appl. Math., v. 13, No. 4, 1956, pp. 419-430.
Skripov V. P. Metastable Liquids. M.: Nauka, GRFML, 1972, 312 p. (in Russian).