Abstract
The dependence of the velocity of the motion of a tow with an inclined plate mounted in a wave water channel on the wave parameters, the submergence depth, and the angle of inclination and dimensions of the plate is experimentally investigated. The effect of tow motion counter to the waves is detected and theoretically justified. The free surface profiles for periodic waves above an inclined plate obtained using the elolutionary system of the Boussinesq approximation equations correspond to the measured ones. The pulse generated as a result of wave breakup is estimated.
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References
A.Yu. Yakimov and Yu.L. Yakimov, “Straight-Flow Wave Mover of a Ship,” Vestn. Mosk. Un-ta. Ser. 1. Mat. Mekh. No. 4, 59 (2005).
P.A. Madsen and H.A. Schaffer, “Higher Order Boussinesq-Type Equations for Surface Gravity Waves-Derivation and Analysis,” Phil. Trans. Roy. Soc. London. A 356, 3123 (1998).
D. Peregrine, “Long Waves on a Beach,” J. Fluid Mech. 27, 815 (1967).
O. Nwogu, “An Alternative Form of the Boussinesq Equations for Nearshore Wave Propagation,” J. Waterway, Port, Coast. Ocean Engng. 119, 618 (1993).
G.F. Carrier and H.P. Greenspan, “Water Waves of Finite Amplitude on a Sloping Beach,” J. Fluid Mech. 4, 97 (1958).
G. Wei, J.T. Kirby, S.T. Grilli, and R.A. Subramanya, ’Fully Nonlinear Boussinesq Model for Surface Waves. Part 1. Highly Nonlinear Unsteady Waves,” J. Fluid Mech. 294, 71 (1995).
M.S. Longuet-Higgins, “TheMean Forces Exerted by Waves on Floating or Submerged Bodies with Applications to Sand Bras and Wave Power Machines,” Proc. Roy. Soc. London. A 352, 463 (1977).
Y. Tsuji and Yu. Nagata, “Stokes’ Expansion of Internal Deep Water Waves to the Fifth Order,” J. Ocean. Soc. Japan 29, 61 (1973).
M. Abramovitz and I.A. Stegun, Handbook of Mathematical Functions, Dover, New York (1972).
R.L. Wiegel, “A Presentation of Cnoidal Wave Theory for Practical Application,” J. Fluid Mech. 7, 273 (1960).
K.E. Afanas’ev and C.V. Stukolov, “Solitary Wave Runup onto an Inclined Shore,” Vestn. Omsk. Un-ta No. 3, 9 (1998).
N.E. Kochin, I.A. Kibel’, and N.V. Roze, Theoretical Hydromechanics. Part 1 [in Russian], Fizmatgiz, Moscow (1963).
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Original Russian Text © V.V. Prokof’ev, A.K. Takmazyan, E.V. Filatov, 2011, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2011, Vol. 46, No. 6, pp. 43–55.
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Prokof’ev, V.V., Takmazyan, A.K. & Filatov, E.V. Drift of an inclined plate counter oncoming waves. Fluid Dyn 46, 878–889 (2011). https://doi.org/10.1134/S0015462811060056
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DOI: https://doi.org/10.1134/S0015462811060056