Effect of disjoining pressure in a thin film equation with non-uniform forcing
We explore the effect of disjoining pressure on a thin film equation in the presence of a non-uniform body force, motivated by a model describing the reverse draining of a magnetic film. To this end, we use a combination of numerical investigations and analytical considerations. The disjoining press...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Published: |
2012
|
| _version_ | 1797074746761805824 |
|---|---|
| author | Moulton, D Lega, J |
| author_facet | Moulton, D Lega, J |
| author_sort | Moulton, D |
| collection | OXFORD |
| description | We explore the effect of disjoining pressure on a thin film equation in the presence of a non-uniform body force, motivated by a model describing the reverse draining of a magnetic film. To this end, we use a combination of numerical investigations and analytical considerations. The disjoining pressure has a regularizing influence on the evolution of the system and appears to select a single steady-state solution for fixed height boundary conditions; this is in contrast with the existence of a continuum of locally attracting solutions that exist in the absence of disjoining pressure for the same boundary conditions. We numerically implement matched asymptotics expansions to construct equilibrium solutions and also investigate how they behave as the disjoining pressure is sent to zero. Finally, we consider the effect of the competition between forcing and disjoining pressure on the coarsening dynamics of the thin film for fixed contact angle boundary conditions. |
| first_indexed | 2024-03-06T23:40:38Z |
| format | Journal article |
| id | oxford-uuid:6f30a153-c60d-494f-a2c9-6aa1f137f321 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T23:40:38Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:6f30a153-c60d-494f-a2c9-6aa1f137f3212022-03-26T19:29:07ZEffect of disjoining pressure in a thin film equation with non-uniform forcingJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6f30a153-c60d-494f-a2c9-6aa1f137f321Mathematical Institute - ePrints2012Moulton, DLega, JWe explore the effect of disjoining pressure on a thin film equation in the presence of a non-uniform body force, motivated by a model describing the reverse draining of a magnetic film. To this end, we use a combination of numerical investigations and analytical considerations. The disjoining pressure has a regularizing influence on the evolution of the system and appears to select a single steady-state solution for fixed height boundary conditions; this is in contrast with the existence of a continuum of locally attracting solutions that exist in the absence of disjoining pressure for the same boundary conditions. We numerically implement matched asymptotics expansions to construct equilibrium solutions and also investigate how they behave as the disjoining pressure is sent to zero. Finally, we consider the effect of the competition between forcing and disjoining pressure on the coarsening dynamics of the thin film for fixed contact angle boundary conditions. |
| spellingShingle | Moulton, D Lega, J Effect of disjoining pressure in a thin film equation with non-uniform forcing |
| title | Effect of disjoining pressure in a thin film equation with
non-uniform forcing |
| title_full | Effect of disjoining pressure in a thin film equation with
non-uniform forcing |
| title_fullStr | Effect of disjoining pressure in a thin film equation with
non-uniform forcing |
| title_full_unstemmed | Effect of disjoining pressure in a thin film equation with
non-uniform forcing |
| title_short | Effect of disjoining pressure in a thin film equation with
non-uniform forcing |
| title_sort | effect of disjoining pressure in a thin film equation with non uniform forcing |
| work_keys_str_mv | AT moultond effectofdisjoiningpressureinathinfilmequationwithnonuniformforcing AT legaj effectofdisjoiningpressureinathinfilmequationwithnonuniformforcing |