Analog computer solution of the modified rayleigh equation and parameters affecting cavitation

TLDR: The modified Rayleigh equation as discussed by the authors is a non-linear differential equation governing the growth of bubbles during cavitation, and it has been programmed on an analog computer, and the effects on the initial conditions and the physical properties of the system, such as density, viscosity and surface tension, have been made the subject of a detailed parameter study.

Abstract: The modified Rayleigh equation is a non-linear differential equation governing the growth of bubbles during cavitation. It has been programmed on an analog computer, and the effects on the growth of bubbles of the initial conditions and the physical properties of the system, such as density, viscosity and surface tension, have been made the subject of a detailed parameter study. The observations that the initial growth may be delayed and that the rate of bubble growth may pass through a minimum have been explained by an energy balance. A first order perturbation method has been applied to the case where the effect of viscosity is small. L'equation modifiee de Rayleigh est une equation differentielle non lineaire qui regit la croissance des bulles au cours de la cavitation. Les auteurs en ont deduit, au moyen d'un calculateur analogique, l'influence des conditions initiales et des proprietes physiques du systeme sur la croissance des bulles. Ils ont ainsi fait une etude detaillee de differents parametres, dont la densite, la viscosite et la tension superficielle. On explique au moyen d'un bilan d'energe le retard observe dans la croissance initiale des bulles et le fait que le taux de croissance des bulles peut passer par un minimum. On a applique une methode de perturbation du premier ordre dans le cas ou l'effet de la viscosite est faible.