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Green's Law Revisited: Tidal Long-Wave Propagation In Channels With Strong Topography, David A. Jay

Civil and Environmental Engineering Faculty Publications and Presentations

Green's Law states that tidal long-wave elevation ζ and tidal transport Q vary with width b and depth h according to ζ ≌ b^−1/2h^−1/4 and Q ≌ b^+1/2h^+/4. This solution is of limited utility because it is restricted to inviscid, infinitesimal waves in channels with no mean flow and weak topography (those with topographic scale L ≫ wavelength λ). An analytical perturbation model including finite-amplitude effects, river flow, and tidal flats has been used to show that (1) wave behavior to lowest order is a function of only two nondimensional parameters representing, respectively, …