A compressible model of soap film flow
Abstract
We consider flowing soap films, and present a new theoretical model that resembles the compressible two dimensional Navier-Stokes equations. In experiments, the thickness of a gravity driven soap film can undergo significant variations. The thickness of the soap film plays the role of a density field in a 2D model: Hence significant thickness variations give rise to 2D compressibility effects that have been observed in experiments. We present a systematic derivation of a new compressible model of soap film flow using thin film asymptotics. We discuss the properties of the model, and present criteria for using the incompressible or compressible limiting equations. The properties of the model are illustrated with computational experiments.
- Publication:
-
APS Division of Fluid Dynamics Meeting Abstracts
- Pub Date:
- November 2004
- Bibcode:
- 2004APS..DFD.GG009F