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The radiation and scattering of surface waves by vertical barriers

Published online by Cambridge University Press:  29 March 2006

D. Porter
D. Porter
Affiliation:
Department of Mathematics, University of Reading, England
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Abstract

A train of small-amplitude surface waves is incident normally on an arbitrary arrangement of thin barriers lying in a vertical plane in deep water. Each barrier is allowed to make small rolling or swaying oscillations of the same frequency as that of the incident wave. The boundary-value problem for the consequent fluid motion, assumed two-dimensional, is solved exactly using a technique which enables the amplitudes of the scattered waves far from the barriers to be readily determined. Reference is made to the associated wave radiation problem and to the calculation of forces and moments on the barriers.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 63 , Issue 4 , 15 May 1974 , pp. 625 - 634
Copyright
© 1974 Cambridge University Press

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References

Alexopoulos, C. C. & Keffer, J. F. 1968 Extended measurements of the two-dimensional turbulent wake. Dept. Mech. Engng., University of Toronto, Tech. Publ. Ser. Utmeche TP6811.Google Scholar
Béguier, C. 1965 Mesures des tensions de Reynolds dans un encoulement dissymetrique en régime turbulent incompressible. J. Me'canique, 4, 319.Google Scholar
Bloor, M. S. 1964 The transition to turbulence in the wake of a circular cylinder. J. Fluid Mech. 19, 290.Google Scholar
Bragg, G. M. & SUK, J. K. 1972 Arbitrary mean flow in adverse pressure gradients. J. Bas. Engng. Trans. A.S.M.E. D 93, 495.Google Scholar
Deissler, R. G. 1968 Production of negative eddy conductivities and viscosities in the presence of buoyancy and shear. Phys. Fluids, 11, 432.Google Scholar
Ellison, T. H. & Turner, J. S. 1959 Turbulent entrainment in stratified flows. J. Fluid Mech. 6, 432.Google Scholar
Eseinazi, S. & Erian, F. F. 1969 Energy reversal in turbulent flows. Phys. Fluids, 12, 1988.Google Scholar
Gerrard, J.H. 1965 A disturbance-sensitive Reynolds number range of flow past a circular cylinder. J. Fluid Mech. 22, 187.Google Scholar
Hama, F. R. 1962 Progressive deformation of a curved vortex filament by its own induction. Phys. Fluids, 5, 1156.Google Scholar
Kruka, V. & Eskinazi, S. 1964 The wall jet in a moving stream. J. Fluid Mech. 20, 555–579.Google Scholar
Kuethe, A. M. 1951 Some aspects of boundary-layer transition and flow separation on a cylinder in yaw. 1st Midwestern Conf. on Fluid Mech. p. 44.Google Scholar
Kuo, Y.-H. & Baldwin, L. V. 1967 The formation of elliptical wakes. J. Fluid Mech. 27, 353.Google Scholar
Lumley, J. L. & Panofsky, H. A. 1964 The Structure of Atmospheric Turbulence. Interscience.
Morton, B. R. 1961 On a momentum mass flux diagram for turbulent jets, plumes and wakes. J. Fluid Mech. 10, 101.Google Scholar
Portfors, E. 1969 Isotropy in strained and unstrained turbulence. Ph.D. thesis, University of Toronto.
Pratte, B. D. & Keffer, J. F. 1969 Swirling turbulent jet flows. Part 2: the counter rotating jet pair. Depth. Mech. Engng, University of Toronto, Tech. Publ. Ser. UT Mech E TP6906.Google Scholar
Schlichting, H. 1968 Boundary-Layer Theory. McGraw-Hill.
Spivack, H. M. 1946 Vortex frequency and flow pattern in the wake of two parallel cylinders at varied spacing normal to an air stream. J. Aero. Sci. 13, 289.Google Scholar
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Wong, E. Y. J. & Brundidge, K. C. 1966 Vertical and temporal distributions of the heat conductivity and flux. J. Atmos. Sci. 23, 167.Google Scholar