Effect of pulsations on the stability of a gas column

Blyth, M.G. and Pozrikidis, C. (2005) Effect of pulsations on the stability of a gas column. Theoretical and Computational Fluid Dynamics, 19 (1). pp. 23-37. ISSN 0935-4964

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Abstract

The effect of radial pulsations on the stability of a compressible cylindrical gas column surrounded by an ambient liquid is discussed. In the absence of pulsations, the stationary interface is susceptible to the Rayleigh capillary instability, which promotes the growth of longitudinal waves whose wave length is larger than 2π times the column radius, irrespective of the Reynolds number. A Floquet stability analysis for potential flow shows that the pulsations further destabilize the interface by extending the range of unstable wave numbers to a sequence of islands. A similar stability analysis for Stokes flow shows that the pulsations also have a destabilizing influence, though the presence of an insoluble surfactant has a competing stabilizing influence that may cause an overall reduction in the range of unstable wave numbers.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics
UEA Research Groups:	Faculty of Science > Research Groups > Fluid and Solid Mechanics
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 10:11
Last Modified:	01 Mar 2023 12:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/19806
DOI:	10.1007/s00162-004-0160-2

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