×

Motion generated by a porous wave-maker in a continuously stratified fluid. (English) Zbl 0899.76348

Summary: The motion generated by a porous wave-maker in a continuously stratified fluid is investigated. Adopting Chwang’s method the stream function is obtained for fluids of finite and finite constant depth. The free surface depression, the hydrodynamic pressure distribution and the resultant fluid thrust on the two sides of the wave-maker are calculated for particular forms of the density stratification and wave-maker motion. Curves are drawn to show the effect of stratification on the free surface depression and force coefficients.

MSC:

76S05 Flows in porous media; filtration; seepage
76V05 Reaction effects in flows
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
Full Text: DOI

References:

[1] Havelock, T. H., Phil. Mag., 8, 569 (1929) · JFM 55.0472.02
[2] Ursell, F.; Dean, R. G.; Yu, Y. S., J. Fluid Mech., 7, 33 (1960) · Zbl 0089.43801
[3] Madsen, O. S., (Proc. 12th Coastal Engng Conf. (1970), ASCE), 589-609
[4] Noda, E., J. Waterways, Harbors & Coastal Engng Div. ASCE, 96, 835 (1970)
[5] Chwang, A. T., J. Fluid Mech., 132, 395 (1983) · Zbl 0534.76023
[6] Hocking, L. M., J. Fluid Mech., 79, 235 (1987)
[7] Murray, J. C., Acta Mech., 77, 121 (1989)
[8] Gorgui, M. A.; Faltas, M. S.; Ahmed, A. Z., Il Nuovo Cimento, 15D, 793 (1993)
[9] Lamb, H., Hydrodynamics (1995), Dover: Dover New York · JFM 26.0868.02
[10] Essawy, A. H.; Faltas, M. S., Int. J. Math. Sci., 15, 333 (1992) · Zbl 0755.76017
[11] Chwang, A. T., J. Engng Math., 15, 49 (1981) · Zbl 0525.73099
[12] Taylor, G. I., (Proc. R. Soc. Lond. A, 234 (1956)), 456 · Zbl 0074.43003
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.