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.
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 flowCitations:
Zbl 0519.76014References:
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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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