THREE-DIMENSIONAL PLANING AT HIGH FROUDE NUMBER

The steady motion of a planing surface of moderate aspect ratio at small angles of attack is considered. Linearized theory is used with a square-root type of pressure sigularity representing the flow near the leading edge. An asymptotic solution for the pressure distribution on the planing surface at large Froude number ( or small Beta, the inverse of the Froude number) is sought. The lowest-order term of the pressure distribution, obtained by setting Beta equal to zero, is found to be the same as the pressure distribution on the lower side of the corresponding thin wing. Higher-order terms in Beta are obtained by an iteration process. Explicit solutions are obtained to order Beta square for rectangular planforms. Numerical results are calculated for rectangular flat plate planing surfaces of aspect ratios from 0.5 to 2.0. It is found that for large aspect ratios the lift coefficient is reduced by the gravity effect and for small aspect ratios it is increased, the dividing aspect ratio being about 1.5. The results compare reasonably well with experimental data.

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  • Corporate Authors:

    Society of Naval Architects and Marine Engineers

    601 Pavonia Avenue
    Jersey City, NJ  United States  07306-2907
  • Authors:
    • Wang, D P
    • Rispin, P
  • Publication Date: 1971-9

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Filing Info

  • Accession Number: 00019573
  • Record Type: Publication
  • Source Agency: Society of Naval Architects and Marine Engineers
  • Files: TRIS
  • Created Date: Nov 25 1972 12:00AM