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A rigorous mathematical treatment of the shape of a dissipative rope fountain

Bevan, Jonathan J. and Deane, Jonathan H. B. (2019) A rigorous mathematical treatment of the shape of a dissipative rope fountain Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475 (2231). pp. 1-15.

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This is a theoretical and numerical study of a model of a rope fountain subject to a drag force that depends linearly on the rope velocity. A precise, analytical description of the long-term shape adopted by the rope is given, and various consequences are derived from it. Using parameters that naturally appear in the model, we distinguish between cases wherein energy is conserved by means of a constant tension far from the rope source (the ‘free’ case) and where energy conservation is a consequence of a non-constant tension (the ‘braked’ case). The model is used, among other things, to generate rope fountain shapes based on approximate experimental estimates of the parameter values and a careful numerical treatment.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Bevan, Jonathan
Deane, Jonathan H.
Date : 6 November 2019
DOI : 10.1098/rspa.2019.0612
Copyright Disclaimer : © 2019 The Author(s) Published by the Royal Society. All rights reserved.
Uncontrolled Keywords : Rope fountain; Continuum mechanics; Dynamical systems; Numerical modelling
Depositing User : Clive Harris
Date Deposited : 14 Nov 2019 16:17
Last Modified : 14 Nov 2019 16:21

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