A note on the cylindrical wave-maker problem in a liquid with an inertial surface

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Abstract

This note is concerned with the problem of forced motion due to a vertical circular cylindrical wave-maker immersed in a liquid with an inertial surface composed of uniformly distributed floating particles. The techniques of Laplace transform in time and Weber transform in the radial co-ordinate are used to obtain the velocity potential and hence the inertial surface depression. For the special case of a time-harmonic wave-maker, the potential function is analysed for its steady-state development. It is shown that if the inertial surface is “too heavy”, the disturbance due to the wave-maker remains confined within a short distance only.

References (10)

  • B.N. Mandal

    Ring source potential in a liquid with an inertial surface

    Mech. Res. Commun.

    (1986)
  • T.H. Havelock

    Forced surface waves on water

    Phil. Mag.

    (1929)
  • P.F. Rhodes-Robinson

    On the forced surface waves due to a vertical wave-maker in the presence of surface tension

  • P.F. Rhodes-Robinson

    On the generation of water waves at an inertial surface

    J. Aust. Math. Soc. Ser. B

    (1984)
  • B.N. Manual et al.

    A note on the singularities in the theory of water waves with an inertial surface

    J. Aust. Math. Soc. Ser. B

    (1986)
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