Scott, C. F. and Sander, G. C. and Norbury, John (2005) *Computation of capillary surfaces for the Laplace–Young equation.* The Quarterly Journal of Mechanics and Applied Mathematics, 58 (2). pp. 201-212.

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Official URL: http://dx.doi.org/10.1093/qjmamj/hbi005

## Abstract

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.

Item Type: | Article |
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Subjects: | O - Z > Partial differential equations D - G > Fluid mechanics |

Research Groups: | Oxford Centre for Industrial and Applied Mathematics |

ID Code: | 304 |

Deposited By: | Gareth Wyn Jones |

Deposited On: | 27 Oct 2006 |

Last Modified: | 20 Jul 2009 14:20 |

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