The inertial terms in equations of motion for bubbles in tubular vessels or between plates

Equations resembling the Rayleigh-Plesset and Keller-Miksis equations are frequently used to model bubble dynamics in confined spaces, using the standard inertial term R(R) double over dot + 3(R) over dot(2)/2, where R is the bubble radius. This practice has been widely assumed to be defensible if the bubble is much smaller than the radius of the confining vessel. This paper questions this assumption, and provides a simple rigid wall model for worst-case quantification of the effect on the inertial term of the specific confinement geometry. The relevance to a range of scenarios (including bubbles confined in micro-fluidic devices; or contained in test chambers for insonification or imaging; or in blood vessels) is discussed. (C) 2011 Acoustical Society of America. [DOI: 10.1121/1.3638132]