Computation of capillary surfaces for the Laplace–Young equation
A novel hybrid finite-element/finite-volume numerical method is developed to determine the capillary rise of a liquid with a free surface (under surface tension and gravitational forces). The few known exact analytical solutions are used to verify the numerical computations and establish their accur...
| Asıl Yazarlar: | , , |
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| Materyal Türü: | Journal article |
| Baskı/Yayın Bilgisi: |
2005
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| _version_ | 1826295010271690752 |
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| author | Scott, C Sander, G Norbury, J |
| author_facet | Scott, C Sander, G Norbury, J |
| author_sort | Scott, C |
| collection | OXFORD |
| description | A novel hybrid finite-element/finite-volume numerical method is developed to determine the capillary rise of a liquid with a free surface (under surface tension and gravitational forces). The few known exact analytical solutions are used to verify the numerical computations and establish their accuracy for a range of liquid contact angles. The numerical method is then used to ascertain the limitations of a number of theoretical approximations to solutions for the capillary rise in the linearized limit, for special geometries such as plane walls, concentric cylinders and in a wedge of arbitrary included angle. The existence of a critical wedge angle for a given contact angle is verified. However, the effect of slight practical rounding of wedge corners dramatically reduces the theoretical corner height. |
| first_indexed | 2024-03-07T03:54:31Z |
| format | Journal article |
| id | oxford-uuid:c269d404-a13f-4895-b9ee-6ee44f98e58f |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:54:31Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:c269d404-a13f-4895-b9ee-6ee44f98e58f2022-03-27T06:08:43ZComputation of capillary surfaces for the Laplace–Young equationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c269d404-a13f-4895-b9ee-6ee44f98e58fMathematical Institute - ePrints2005Scott, CSander, GNorbury, JA novel hybrid finite-element/finite-volume numerical method is developed to determine the capillary rise of a liquid with a free surface (under surface tension and gravitational forces). The few known exact analytical solutions are used to verify the numerical computations and establish their accuracy for a range of liquid contact angles. The numerical method is then used to ascertain the limitations of a number of theoretical approximations to solutions for the capillary rise in the linearized limit, for special geometries such as plane walls, concentric cylinders and in a wedge of arbitrary included angle. The existence of a critical wedge angle for a given contact angle is verified. However, the effect of slight practical rounding of wedge corners dramatically reduces the theoretical corner height. |
| spellingShingle | Scott, C Sander, G Norbury, J Computation of capillary surfaces for the Laplace–Young equation |
| title | Computation of capillary surfaces for the Laplace–Young equation |
| title_full | Computation of capillary surfaces for the Laplace–Young equation |
| title_fullStr | Computation of capillary surfaces for the Laplace–Young equation |
| title_full_unstemmed | Computation of capillary surfaces for the Laplace–Young equation |
| title_short | Computation of capillary surfaces for the Laplace–Young equation |
| title_sort | computation of capillary surfaces for the laplace young equation |
| work_keys_str_mv | AT scottc computationofcapillarysurfacesforthelaplaceyoungequation AT sanderg computationofcapillarysurfacesforthelaplaceyoungequation AT norburyj computationofcapillarysurfacesforthelaplaceyoungequation |