Catenaries in viscous fluid


Abstract eng:
This work explores a simple model of a slender, flexible structure in a uniform flow. We present analytical solutions for the translating, axially flowing equilibria of strings subjected to a uniform body force and drag forces linear in the velocities. This is an extension of the classical catenaries to a five-parameter family of shapes, represented as trajectories in angle-curvature “phase space”. A sixth parameter affects the tension in the curves. Limiting cases include neutrally buoyant towed cables and freely sedimenting flexible filaments.

Publisher:
International Union of Theoretical and Applied Mechanics, 2016
Conference Title:
Conference Title:
24th International Congress of Theoretical and Applied Mechanics
Conference Venue:
Montreal (CA)
Conference Dates:
2016-08-21 / 2016-08-26
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.



Record appears in:



 Record created 2016-11-15, last modified 2016-11-15


Original version of the author's contribution as presented on CD, page 3236, code TS.FS06-2.01 .:
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