English

Fluctuation assisted spreading of a fluid filled elastic blister

Fluid Dynamics 2018-05-23 v1 Soft Condensed Matter

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 R^t^1/11\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 R^t^1/6\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.

Keywords

Cite

@article{arxiv.1709.02263,
  title  = {Fluctuation assisted spreading of a fluid filled elastic blister},
  author = {Andreas Carlson},
  journal= {arXiv preprint arXiv:1709.02263},
  year   = {2018}
}