Cavitation-bubble Interaction with an Initially Perturbed Free Surface

TL;DR

This study investigates how cavitation bubbles interact with perturbed free surfaces, revealing regimes of coalescence and non-coalescence, with a focus on cavity dynamics, scaling laws, and the effects of surface tension and viscosity.

Contribution

The paper provides a comprehensive experimental, numerical, and analytical analysis of cavitation-bubble interactions with perturbed free surfaces, identifying key regimes and scaling laws.

Findings

Maximum cavity length scales with the non-dimensional stand-off parameter as a power law.

Two regimes identified: coalescence and non-coalescence, separated by a critical condition.

Analytical model captures the trend and shows initial meniscus height is secondary to the stand-off parameter.

Abstract

The interaction of a spark-generated cavitation bubble with an initially perturbed free surface is investigated experimentally, numerically, and analytically. By exploiting contact-line pinning, we accurately prescribe an initial meniscus with a thin, hydrophilic-coated rod inserted into the liquid. A pronounced surface cavity, driven by the oscillating bubble, forms and penetrates downward to a scale comparable to the bubble itself. The coupled cavity-bubble system exhibits two distinct regimes -- coalescence and non-coalescence -- separated by a critical condition governed by the non-dimensional stand-off parameter $\gamma$ and the initial meniscus height $h_m$. In the non-coalescence regime, the cavity evolves through inception, expansion, and rebound/jetting. The maximum cavity length $h_c$ follows a power-law scaling $h_c\propto\gamma^{\alpha}$ with $\alpha=-2.7$ (experiments) and $\alpha=-2.6$ (simulations) for $1.5\lesssim\gamma\lesssim3$, where inertia dominates. Deviations emerge for $\gamma\lesssim1.5$ (strong nonlinearity) and $\gamma\gtrsim3$ (surface tension and viscosity become noticeable). An analytical model based on the Rayleigh-Plesset equation combined with nonlinear Rayleigh-Taylor instability theory captures the trend and confirms that $h_m$ plays only a secondary role relative to $\gamma$. In the coalescence regime, atmospheric air vents into the bubble through the merged cavity, weakening the collapse intensity and reducing the associated pressure peak. We also examine air/liquid compressibility and boundary layer effects, whose significance grows as $\gamma$ decreases. These findings are relevant to surface-jetting technologies, cavitation-erosion mitigation, and underwater-noise suppression.