DIMENSIONLESS RELATIVE WAVE CELERITY VS DIMENSIONLESS
IN SHALLOW WAVE PROPAGATION IN
OPEN CHANNEL FLOW
(Ponce and Simons, 1977)
Variation of the dimensionless relative wave
celerity as a function of dimensionless wavenumber in the range 0.01-1000; curve parameter is Froude number in the range
[ To the left
the celerity is asymptotic to the relative kinematic wave celerity
(Seddon celerity: 0.5, for Chezy friction in hydraulically wide channel).
To the right, the celerity is asymptotic to the relative dynamic wave celerity (Lagrange celerity: 1/ Fr).
For each curve, the point of inflection in the middle corresponds with maximum wave attenuation. Wave attenuation is minimized
at both extremes of the dimensionless wavenumber spectra. ]