A NONLINEAR THEORY OF SLOSHING IN RECTANGULAR TANKS

A two-dimensional rigid, rectangular, open tank without baffles is forced to oscillate harmonically with small amplitudes of sway or roll oscillation in the vicinity of the lowest natural frequency for the fluid inside the tank. The breadth of the tank is 0 (1) and the depth of the fluid is either (1) or infinite. The excitation is of the order epsilon and the response is of the order epsilon to the one-third. A nonlinear, inviscid boundary-value problem of potential flow is formulated and the steady-state solution is found as a power series in epsilon to the one-third correctly to the order epsilon. Comparison between theory and experiment shows reasonable agreement. The stability of the steady-state solution has been studied.

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  • Corporate Authors:

    Society of Naval Architects and Marine Engineers

    601 Pavonia Avenue
    Jersey City, NJ  USA  07306-2907
  • Authors:
    • Valtinsen, O M
  • Publication Date: 1974-12

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Filing Info

  • Accession Number: 00080049
  • Record Type: Publication
  • Source Agency: Society of Naval Architects and Marine Engineers
  • Files: TRIS
  • Created Date: May 1 1975 12:00AM