MiS Preprint Repository

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MiS Preprint

Occlusion Criteria in Tubes under Transverse Body Forces

Robert Manning, Steven Collicott and Robert Finn


When a fluid in a tube is occluded, one finds a static configuration in which the occluding free surface of the fluid is an equilibrium capillary surface spanning the tube. We extend known criteria for existence and non-existence of such a surface, leading to an explicit mathematically rigorous occlusion criterion for cylindrical tubes in a transverse body force field, depending on the force magnitude and contact angle. For any contact angle γ ≠ π/2, we provide further an explicit design of a tube section, which will not occlude in a downward gravity field, regardless of the field strength. In addition we derive a precise analytic occlusion criterion for a circular vessel spinning about its axis.

MSC Codes:
76B45, 53A10
capillarity, surface tension, mean curvature, bond number, occlusion, nonlinear elliptic pde

Related publications

2011 Repository Open Access
Robert Manning, Steven Collicott and Robert Finn

Occlusion criteria in tubes under transverse body forces

In: Journal of fluid mechanics, 682 (2011), pp. 397-414