Nonlinear resonant characteristics of shallow fluid layers. / Kobine, J. Jonathan.
In: Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences, Vol. 366, No. 1868, 13.04.2008, p. 1331-1346.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Nonlinear resonant characteristics of shallow fluid layers
A1 - Kobine,J. Jonathan
AU - Kobine,J. Jonathan
PY - 2008/4/13
Y1 - 2008/4/13
N2 - <p>Results are presented from an experimental investigation of the motion of a shallow layer of water in a square tank that was oscillated horizontally with small amplitude at frequencies close to the natural frequency of the layer. The aim was to assess the validity of certain theoretical predictions relating to nonlinear resonance in shallow layers based on asymptotic analysis. These concern the hysteretic nature of the resonance pro. le and the existence of non-trivial oscillatory components associated with shock-like discontinuities in the derived solution for the free surface configuration. The experimental results support the theoretical predictions and show a coincidence in parameter space between the regions of hysteresis and oscillatory transition.</p>
AB - <p>Results are presented from an experimental investigation of the motion of a shallow layer of water in a square tank that was oscillated horizontally with small amplitude at frequencies close to the natural frequency of the layer. The aim was to assess the validity of certain theoretical predictions relating to nonlinear resonance in shallow layers based on asymptotic analysis. These concern the hysteretic nature of the resonance pro. le and the existence of non-trivial oscillatory components associated with shock-like discontinuities in the derived solution for the free surface configuration. The experimental results support the theoretical predictions and show a coincidence in parameter space between the regions of hysteresis and oscillatory transition.</p>
KW - free-surface flows
KW - resonance
KW - nonlinearity
KW - SQUARE-BASE BASIN
KW - SURFACE-WAVES
KW - WATER WAVES
KW - OSCILLATIONS
U2 - 10.1098/rsta.2007.2134
DO - 10.1098/rsta.2007.2134
M1 - Article
JO - Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences
JF - Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences
SN - 1364-503X
IS - 1868
VL - 366
SP - 1331
EP - 1346
ER -