Fluctuation assisted spreading of a fluid filled elastic blister

TL;DR

This study develops a stochastic elastohydrodynamic model to analyze how environmental fluctuations influence the spreading dynamics of a fluid-filled elastic blister, revealing noise-induced acceleration and a transition criterion between regimes.

Contribution

The paper introduces a novel stochastic framework coupling viscous flow, elastic bending, and environmental noise to describe blister spreading, with new scaling laws and transition criteria.

Findings

Spreading law without noise: R ~ t^{1/11}

Noise accelerates spreading: R ~ t^{1/6}

Identifies transition between deterministic and stochastic regimes

Abstract

In this theoretical and numerical study, we show how spatially extended fluctuations can influence and dominate the dynamics of a fluid filled elastic blister as is deforms onto a pre-wetted solid substrate. To describe the blister dynamics, we develop a stochastic elastohydrodynamic framework that couples the viscous flow, the elastic bending of the interface and the noise from the environment. We deploy a scaling analysis to find the elastohydrodynamic spreading law $\hat R\sim {\hat t}^{1/11}$ a direct analogue to the capillary spreading of drops, while the inclusion of noise in our model highlights that the dynamics speed-up significantly $\hat R\sim {\hat t}^{1/6}$ as local changes in curvature enhance the peeling of the elastic interface from the substrate. Moreover, our analysis identifies a distinct criterion for the transition between the deterministic and stochastic spreading regime, which is further illustrated by numerical simulations.