Hydrodynamics of Bounded Vertical Film with Nonlinear Surface Properties
| dc.contributor.author | Heidari, A.H. | |
| dc.contributor.author | Braun, Richard J. | |
| dc.contributor.author | Hirsa, A. H. | |
| dc.contributor.author | Snow, S.A. | |
| dc.contributor.author | Naire, S. | |
| dc.date.accessioned | 2005-02-17T20:37:31Z | |
| dc.date.available | 2005-02-17T20:37:31Z | |
| dc.date.issued | 2001 | |
| dc.description.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 |
| dc.format.extent | 796877 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://udspace.udel.edu/handle/19716/346 | |
| dc.language.iso | en_US | |
| dc.publisher | Department of Mathematical Sciences | en |
| dc.relation.ispartofseries | Technical Report: 2001-06 | |
| dc.title | Hydrodynamics of Bounded Vertical Film with Nonlinear Surface Properties | en |
| dc.type | Technical Report | en |