On the shape of a small sessile drop and the measurement of contact angle.
Free liquid surfaces in equilibrium are described by the Laplace capillary equation with suitable boundary conditions generally given in terms of the contact angle. By a fortuitous formulation in the axisymmetric case, the second order ordinary differential equation can be reduced to a pair of coupl...
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| Format: | Journal article |
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2013
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| _version_ | 1826271057211817984 |
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| author | O'Brien, B van den Brule, B |
| author_facet | O'Brien, B van den Brule, B |
| author_sort | O'Brien, B |
| collection | OXFORD |
| description | Free liquid surfaces in equilibrium are described by the Laplace capillary equation with suitable boundary conditions generally given in terms of the contact angle. By a fortuitous formulation in the axisymmetric case, the second order ordinary differential equation can be reduced to a pair of coupled first order equations. For the case of a small liquid drop, the present formulation allows perturbation solutions to second order to be derived in closed form. Furthermore the solutions obtained can be used to calculate contact angles, if the height and maximum width of the drop is known, the method being equally simple whether the contact angle is less than or greater than 90 ͦ. |
| first_indexed | 2024-03-06T21:50:38Z |
| format | Journal article |
| id | oxford-uuid:4b21646a-63a0-4b43-98f0-b8b42f0baf2c |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:50:38Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | oxford-uuid:4b21646a-63a0-4b43-98f0-b8b42f0baf2c2022-03-26T15:41:47ZOn the shape of a small sessile drop and the measurement of contact angle.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4b21646a-63a0-4b43-98f0-b8b42f0baf2cMathematical Institute - ePrints2013O'Brien, Bvan den Brule, BFree liquid surfaces in equilibrium are described by the Laplace capillary equation with suitable boundary conditions generally given in terms of the contact angle. By a fortuitous formulation in the axisymmetric case, the second order ordinary differential equation can be reduced to a pair of coupled first order equations. For the case of a small liquid drop, the present formulation allows perturbation solutions to second order to be derived in closed form. Furthermore the solutions obtained can be used to calculate contact angles, if the height and maximum width of the drop is known, the method being equally simple whether the contact angle is less than or greater than 90 ͦ. |
| spellingShingle | O'Brien, B van den Brule, B On the shape of a small sessile drop and the measurement of contact angle. |
| title | On the shape of a small sessile drop and the measurement of contact angle. |
| title_full | On the shape of a small sessile drop and the measurement of contact angle. |
| title_fullStr | On the shape of a small sessile drop and the measurement of contact angle. |
| title_full_unstemmed | On the shape of a small sessile drop and the measurement of contact angle. |
| title_short | On the shape of a small sessile drop and the measurement of contact angle. |
| title_sort | on the shape of a small sessile drop and the measurement of contact angle |
| work_keys_str_mv | AT obrienb ontheshapeofasmallsessiledropandthemeasurementofcontactangle AT vandenbruleb ontheshapeofasmallsessiledropandthemeasurementofcontactangle |