Thin film flow dynamics on fiber nets

Slip - controlled thin film dynamics

– In this study, we present a novel method to assess the slip length and the viscosity of thin films of highly viscous Newtonian liquids. We quantitatively analyse dewetting fronts of low molecular weight polystyrene melts on Octadecyl-(OTS) and Dodecyltrichlorosilane (DTS) polymer brushes. Using a thin film (lubrication) model derived in the limit of large slip lengths, we can extract slip len...

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 dynamics: theory and applications

This paper is based on a series of four lectures, by the first author, on thin films and moving contact lines. Section one presents an overview of the moving contact line problem and introduces the lubrication approximation. Section two summarizes results for positivity preserving schemes. Section three discusses the problem of films driven by thermal gradients with an opposing gravitational fo...