Study in Royal Society journal on sense of fairness in c...( coastal oceanography where bathymetric...)

coastal oceanography, where bathymetric variations contribute to the dynamics of ocean waves. Mathematically, it leads to difficult problems of determining properties of wave evolution, even in a perturbative scaling regime. The principal contributions of this paper are to adapt methods of Hamiltonian perturbation theory to the problem, and then to produce a systematic study of the principal nonlinear long-wave scaling regimes, for both two and three dimensional wave motion.
Contact: Professor Walter Craig, Department of Mathematics and Statistics, McMaster University, Hamilton, ONTARIO, L8S 4K1, Canada

Limit-cycle oscillations of a heavy whirling cable subject to aerodynamic drag by Dr JD Clark, Dr WB Fraser, Dr CD Rahn and Dr A Rajamani

We investigate the behaviour of an experimental system consisting of a cable suspended from the edge of a rotating disk with a mass (drogue) attached to its lower end. If the rotational speed is steady the cable shape remains stable as it rotates. As the speed is increased through certain critical values the cable configuration becomes unstable and its shape changes to a new configuration. At a sufficiently high speed a new instability occurs and the drogue oscillates vertically with a period much less than its period of rotation. The stability of rotating cable and string systems is important for textile yarn spinning systems, and when drogues are towed by aircraft in circular paths.
Contact: Dr James Clark, School of Mathematics & Statistics, The University of Sydney, NSW 2006, Australia

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Contact: Tim Watson
tim.watson@royalsoc.ac.uk
44-207-451-2508
Royal Society
25-Jan-2005

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