✦ LIBER ✦

Dynamics of a small bubble in a compressible fluid

✍ Scribed by A. A. Aganin

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 168 KB
Volume: 33
Category: Article
ISSN: 0271-2091
DOI: 10.1002/(sici)1097-0363(20000530)33:2<157::aid-fld6>3.0.co;2-a

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✦ Synopsis

An efficient (simplified) method for solving problems of spherically symmetric dynamics of a small gas bubble in a compressible fluid is proposed. The method is based on the joint use of the full problem statement (the gas dynamics equations for the gas and the fluid) and its relevant simplifications. Some approximate statements are discussed. In the proposed method, the rarefaction and compression of the gas during the slow motion of the bubble surface is assumed to be uniform over the bubble volume. At the same time the fluid in the thin zone adjacent to the bubble is considered to be slightly compressible. Otherwise the gas dynamics equations are used for the gas and the fluid. The dynamics of the fluid in the thick external zone are described by the linear acoustics only. The proposed simplified method and two others used in literature are estimated by comparison of their numerical results with those obtained in full statement.

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