Experimental verification of Lorentz’ linearization procedure for quadratic friction
- 6 March 2005
- journal article
- Published by IOP Publishing in Fluid Dynamics Research
- Vol. 36 (3), 175-188
- https://doi.org/10.1016/j.fluiddyn.2005.01.005
Abstract
We present results from laboratory experiments in a ‘tidal tank’, demonstrating the resonant response of the Helmholtz mode in an almost-enclosed basin. In particular the dependence of the response curve (amplification of the tide in the basin relative to the tidal signal at sea as a function of forcing frequency) on the tidal amplitude due to the nonlinear influence of dissipation is observed. Although Lorentz’ linearization procedure for coping with this nonlinear effect was already developed at the beginning of the previous century, quantitative experimental validation in this context has not yet been provided. The experimental results presented in this paper show good agreement with theory. Keywords: Wave amplification; Harbor resonance; Quadratic friction; Head loss; Flow separation; Oscillatory flow; Lorentz’/equivalent linearization; Laboratory testThis publication has 14 references indexed in Scilit:
- Chaotic Tides*Journal of Physical Oceanography, 2002
- On the nonlinear Helmholtz response of almost-enclosed tidal basins with sloping bottomsJournal of Fluid Mechanics, 1997
- An experiment on harbour resonance induced by incident regular waves and irregular short wavesCoastal Engineering, 1996
- Harbor Oscillations Induced by Nonlinear Transient Long WavesJournal of Waterway, Port, Coastal, and Ocean Engineering, 1987
- A study of non-linear tidal propagation in shallow inlet/estuarine systems Part I: ObservationsEstuarine, Coastal and Shelf Science, 1985
- Nonlinear Helmholtz oscillations in harbours and coupled basinsJournal of Fluid Mechanics, 1981
- Nonlinear tidal waves in channels: A perturbation method adapted to the importance of quadratic bottom frictionTellus A: Dynamic Meteorology and Oceanography, 1980
- Harbour resonance due to set-down beneath wave groupsJournal of Fluid Mechanics, 1977
- Harbor SeichingAnnual Review of Fluid Mechanics, 1974
- Wave-induced oscillations in harbours of arbitrary geometryJournal of Fluid Mechanics, 1971