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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
73/2008

Occlusion in fluid transporting tubes in a transverse gravity field

Robert Manning, Steven Collicott and Robert Finn

Abstract

When a fluid conducting tube occludes, the surface interface of the fluid becomes a stationary capillary surface spanning the tube. We extend known criteria for existence and non-existence of such a surface, to obtain an occlusion criterion for cylindrical tubes of circular section situated horizontally in a vertical gravity field. We show additionally that if the materials are such that the contact angle is small, tubes of suitable non-circular section can be designed so as not to occlude regardless of gravity.

Received:
Oct 27, 2008
Published:
Oct 29, 2008
MSC Codes:
76D45, 53A10
PACS:
68.03.Kn
Keywords:
occlusion, transporting tubes, capillarity, capillary surfaces

Related publications

Preprint
2008 Repository Open Access
Robert Manning, Steven Collicott and Robert Finn

Occlusion in fluid transporting tubes in a transverse gravity field