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