Document Zbl 0616.76117

Separationless flow past a flexible shell. (English. Russian original) Zbl 0616.76117

Fluid Dyn. 19, 683-688 (1984); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1984, No. 5, 15-20 (1984).

This paper, based on the authors’ earlier work [ibid. 1982, No.6, 43-48 (1982; Zbl 0519.76014)], makes a detailed examination of the two- dimensional problem of separationless flow past a shell filled with gas, fixed at one point and at two points. It is assumed that the fluid is ideal, incompressible, and weightless and that the shell cannot be stretched.

Cited in 1 Document

MSC:

76T99	Multiphase and multicomponent flows
76N15	Gas dynamics (general theory)
76M99	Basic methods in fluid mechanics
74F10	Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)

Keywords:

gas-liquid mixtures; flow past stationary bubbles; flexible shells; two- dimensional problem; separationless flow

Citations:

Zbl 0519.76014

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References:

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[2]	E B McLeod (Jr), ?The explicit solution of a free boundary problem involving surface tension,? J. Rational Mech. and Analysis,4, 557 (1955). · Zbl 0068.18901
[3]	N. A. Slezkin, ?Two-dimensional flow of an ideal fluid past a shell filled with gas,? Uch. Zap. MGU,3, 61 (1951).
[4]	O. M. Kiselev, ?The problem of a gas bubble in a two-dimensional flow of an ideal fluid,? Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 13 (1969).
[5]	N. I. Likhomanov and A. G. Petrov, ?Plane-parallel flow past a gas cavity,? Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 20 (1975). · Zbl 0351.76025
[6]	V. P. Zhiinikov and A. G. Terent’ev, ?Jet flow of an ideal fluid past a flexible shell,? Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 43 (1982).

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