A Multiple-Scales Partial Solution of the Pulse-Forced Rayleigh-Plesset Equation of Cavitation Bubble Dynamics
Abstract:
A partial multiple scales analysis of the forced Rayleigh Plesset equation of cavitation bubble dynamics is performed. Previous studies of cavitation inception on hemispherical headforms have revealed the existence of bubble ring cavitation on hemispherical headforms having a laminar separation region. Nuclei passing through the low pressure region that exists prior to the separation bubble experience vaporous growth which is characterized by two time scales. The forcing function pulse which acts on the nuclei is characterized by the laboratory time Tau which varies slowly compared to the characteristic bubble time Tau which characterizes the response time of a typical microscopic cavitation nucleus.