  The Gilmore model is combined with the Noble-Abel-stiffened-gas (NASG)
equation of state to yield a simple model to predict the expansion and collapse
of spherical bubbles based on real gas thermodynamics. The NASG equation of
state resolves the temperature inaccuracy associated with the commonly employed
Tait equation of state for liquids and, thus, can provide a consistent
description of compressible and thermal effects of the bubble content and the
surrounding liquid during cavitation. After a detailed derivation of the
proposed Gilmore-NASG model, the differences between the classical Gilmore-Tait
model and the proposed model are highlighted with results of single-bubble
cavitation related to bubble collapse and driven by an acoustic excitation in
frequency and amplitude regimes relevant to sonoluminescence, high-intensity
focused ultrasound and shock wave lithotripsy. Especially for rapidly and
violently collapsing bubbles, substantial differences in the bubble behaviour
can be observed between the proposed Gilmore-NASG model and the classical
Gilmore-Tait model. The ability of the Gilmore-NASG model to simultaneously
predict reliable pressure and temperature values in gas, vapour and liquid,
makes the proposed model particularly attractive for sonochemistry and
biomedical applications.
