Flow-Induced Wave Generated on a Thin Film under Corrugation

Notes on Blowup and Long Wave Unstable Thin Film Equations

(1) ut = −(uuxxx)x − (uux)x. This is the one dimensional version of ut = −∇ · (f(u)∇∆u)−∇ · (g(u)∇u), with f(u) = un and g(u) = un. Such equations have been used to model the dynamics of a thin film of viscous liquid spreading on a flat solid surface. The air/liquid interface is at height z = u(x, y, t) ≥ 0 and the liquid/solid interface is at z = 0. The one dimensional equation (1) applies if ...

Thin-Film Flow Influenced by Thermal Noise

We study the influence of thermal fluctuations on the dewetting dynamics of thin liquid films. Starting from the incompressible Navier-Stokes equations with thermal noise, we derive a fourth-order degenerate parabolic stochastic partial differential equation which includes a conservative, multiplicative noise term—the stochastic thin-film equation. Technically, we rely on a long-wave-approximat...

Simulations of Surfactant Driven Thin Film Flow

This thesis is intended to fulfill the requirements of the Math and Physics departments at Harvey Mudd College. We begin with a brief introduction to the study of surfactant dynamics followed by some background on the experimental framework our work is related to. We then go through a derivation of the model we use, and explore in depth the nature of the Equation of State (EoS), the relationshi...

Electrified viscous thin film flow over topography

Thin film bulk acoustic wave resonators: a technology overview

This paper describes a high quality thin film piezoelectric aluminium nitride technology developed for applications in bulk acoustic wave resonators and filters. The fabrication of both SMR and FBAR resonators is described, and the main characteristics of these devices are reviewed.