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| Content Provider | Springer Nature Link |
|---|---|
| Author | Bowen, Mark King, John R. |
| Copyright Year | 2012 |
| Abstract | We derive a general reduced model for the flow of a slender thread of viscous fluid on a grooved substrate. Specific choices of the substrate topography allow further analytic progress to be made, and we subsequently focus on a convection–diffusion equation governing the evolution of viscous liquid in a wedge geometry. The model equation that arises also appears in the context of foam drainage, and we take the opportunity to review and compare the results from both applications. After summarising the constant mass results, we introduce a time-dependent fluid influx at one end of the wedge. The analytical results are supported by numerical computations. |
| Starting Page | 39 |
| Ending Page | 62 |
| Page Count | 24 |
| File Format | |
| ISSN | 00220833 |
| Journal | Journal of Engineering Mathematics |
| Volume Number | 80 |
| Issue Number | 1 |
| e-ISSN | 15732703 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2012-10-23 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Asymptotics Capillary flow Self-similarity Thin film Mechanics Applications of Mathematics Analysis Mathematical Modeling and Industrial Mathematics Numeric Computing |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics Engineering |
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