Conditions of inertial-viscous transition and related jetting in large cavity collapse

Abstract

Viscosity and surface tension of fluids regulates the collapse dynamics of a large cavity where collapse is initially inertial with the minimum radius ${r}_{m}\ensuremath{\sim}({t}_{0}\ensuremath{-}t{)}^{1/2}$, where ${t}_{0}\ensuremath{-}t$ is the time remaining for collapse. In low-viscosity fluids, an inertial-capillary transition occurs (exponent changes from 1/2 to 2/3), while it is inertial-viscous (exponent changes from 1/2 to 1) in viscous fluids at a late stage of collapse. The inertial-viscous transition occurs when the local capillary number is greater than 1 and the local Ohnesorge number is greater than 0.1.