We consider an open circular container of unit radius containing a still viscous fluid of prescribed volume that meets the wall of the container at a contact angle . The problem is extremely similar to that described in the two-dimensional static cap tutorial. The exact solution corresponds to a free surface of constant curvature that is the arc of a circle rotated about the axis to give a section of a sphere. The mean curvature of the interface in this problem is , which differs from the two-dimensional problem in which it was .
The only differences between the axisymmetric and the two-dimensional driver codes are that:
In other words we make the following changes:
|Two-dimensional problem||Axisymmetric problem|
|Bulk Fluid Element||QCrouzeixRaviartElement<2>||AxisymmetricQCrouzeixRaviartElement|
|Pseudo-Solid Free Surface Face Element||ElasticLineFluidInterfaceElement||ElasticAxisymmetricFluidInterfaceElement|
|Spine Free Surface Face Element||SpineLineFluidInterfaceElement||SpineAxisymmetricFluidInterfaceElement|
|Pseudo-Solid Volume Constraint Face Element||ElasticLineVolumeConstraintBoundingElement||ElasticAxisymmetricVolumeConstraintBoundingElement|
|Spine Volume Constraint Face Element||SpineLineVolumeConstraintBoundingElement||SpineAxisymmetricVolumeConstraintBoundingElement|
|Analytic pressure drop|
AxisymmetricVolumeConstraintBoundingElementclass must be used so that the volume is correctly calculated.
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