By means of a linear analysis, it is shown that the steady motion of a planing plate in two dimensions is always unstable in heave; the vertical motion of the water ahead of the plate causes the plate to have an effective chord length which oscillates along with any heave oscillation, and the damping coefficient of such an oscillation is negative if the reduced frequency is less than a computed critical value. This result suggests that 2-D planing is always unstable. However, when the planing plate supports a given load and has a given angle of attack, the flow will be more like that of a supercavitating hydrofoil at low speeds, and only at high speed will the characteristic planing flow be established. (Modified author abstract)

  • Corporate Authors:

    University of Michigan, Ann Arbor

    Department of Naval Architects and Marine Engineers
    Ann Arbor, MI  United States  48109
  • Authors:
    • Ogilvie, T F
    • Shen, Y T
  • Publication Date: 1973-7

Media Info

  • Pagination: 34 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00051739
  • Record Type: Publication
  • Source Agency: National Technical Information Service
  • Report/Paper Numbers: #146 Final Rpt
  • Contract Numbers: N00014-67-A-0181-001
  • Files: TRIS
  • Created Date: Mar 25 1974 12:00AM