Hydrodynamics of Bounded Vertical Film with Nonlinear Surface Properties
| Author(s) | Heidari, A.H. | |
| Author(s) | Braun, Richard J. | |
| Author(s) | Hirsa, A. H. | |
| Author(s) | Snow, S.A. | |
| Author(s) | Naire, S. | |
| Date Accessioned | 2005-02-17T20:37:31Z | |
| Date Available | 2005-02-17T20:37:31Z | |
| Publication Date | 2001 | |
| Abstract | The drainage of a thin liquid film with an insoluble monolayer down a vertical wall is studied. Lubrication theory is used to develop a model where the film is pinned at the top with a given thickness and the film drains into a bath at the bottom. A nonlinear equation of state is used for the surface tension and the surface viscosity is a nonlinear function of the surfactant concentration; these are appropriate for some aqueous systems. The three partial differential equations are solved via discretization in space and then solving the resulting differential algebraic system. Results are described for a wide range of parameters, and the conditions under which the free surface is immobilized are discussed. | en |
| Extent | 796877 bytes | |
| MIME type | application/pdf | |
| URL | http://udspace.udel.edu/handle/19716/346 | |
| Language | en_US | |
| Publisher | Department of Mathematical Sciences | en |
| Part of Series | Technical Report: 2001-06 | |
| Title | Hydrodynamics of Bounded Vertical Film with Nonlinear Surface Properties | en |
| Type | Technical Report | en |