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.
Official URL: http://dx.doi.org/10.1093/qjmamj/hbi005
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.
|Subjects:||O - Z > Partial differential equations|
D - G > Fluid mechanics
|Research Groups:||Oxford Centre for Industrial and Applied Mathematics|
|Deposited By:||Gareth Wyn Jones|
|Deposited On:||27 Oct 2006|
|Last Modified:||29 May 2015 18:19|
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