Journal of Fluid Mechanics

Mass transport under sea waves propagating over a rippled bed

G.  Vittori a1 and P.  Blondeaux a2
a1 Istituto di Idraulica, Università di Genova, Via Montallegro 1, 16145 Genova, Italy
a2 Dipartimento di Ingegneria delle Strutture, delle Acque e del Terreno, Università dell’Aquila, 67040 Monteluco di Roio, L’Aquila, Italy

Article author query
vittori g   [Google Scholar] 
blondeaux p   [Google Scholar] 


Mass transport under a progressive sea wave propagating over a rippled bed is investigated. Wave amplitudes a* of the same order of magnitude as that of the boundary layer thickness δ* and of the ripple wavelength l* are considered. All the above quantities are assumed to be much smaller than the wavelength L* of the sea wave and much larger than the amplitude 2[varepsilon]* of the ripples. The analysis is carried out up to the second order in the wave slope a*/L* and in the parameter [varepsilon]** which is a measure of ripple steepness. Because of these assumptions, the slow damping of wave amplitude in the direction of wave propagation is taken into account. Attention is focused on the bottom boundary layer where an order ([varepsilon]**)2 correction of the steady velocity components described by Longuet-Higgins (1953) is found. This correction persists at the outer edge of the bottom boundary layer and affects the solution in the entire water column.

(Received April 10 1995)
(Revised December 7 1995)