Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.
Occlusion in fluid conducting tubes transverse to a gravity field (new expanded version)
Robert Manning, Steven Collicott and Robert Finn
When a tube is occluded by a fluid, the free surface of the fluid becomes a stationary capillary surface spanning the tube. We extend known criteria for existence and non-existence of such a surface. We obtain an occlusion criterion for cylindrical tubes in a transverse body force, based on the force magnitude and contact angle. We show further that for any contact angle γ < π/2, tubes of suitable non-circular section can be designed so as not to occlude regardless of gravity. In addition we derive an analytic occlusion criterion for a circular vessel spinning about its axis.