FLOW NEAR THE LEADING EDGE OF A RECTANGULAR WING OF SMALL ASPECT RATIO WITH APPLICATIONS TO THE BOW OF A SHIP

A local solution is developed for the square-root singularity at the leading edge of a rectangular flat plate of small aspect ratio. The analysis is based on the assumption that the spanwise load distribtuion is elliptical, and it follows that the two-dimensional lifting-surface integral equation can be reduced to a one-dimensional integral equation of the Wiener-Hopf form. A solution is then obtained, valid near the leading edge, which yields the strength of the square-root singularity. This solution is used to compute the leading-edge suction force, which differs by 15% from the known value hased on the total lift and drag expressions. The local solution is applied to study the flow around the stem of a ship's bow, as a result of a yawing motion, using Lighthill's rule to correct for the finite radius of curvature at the bow.

• Corporate Authors:

  Noordhoff International Publishing

  P.O. Box 26
  Leiden,   Netherlands 
• Authors:
  • Newman, J N
• Publication Date: 1972-4

Media Info

• Features: References;
• Pagination: p. 163-172
• Serial:
  • Journal of Engineering Mathematics
  • Volume: 7
  • Issue Number: 2
  • Publisher: Wolters-Noordhoff N.V.

Subject/Index Terms

• TRT Terms: Aerodynamic lift; Pressure; Two dimensional flow; Wave resistance
• Uncontrolled Terms: Pressure distribution
• Old TRIS Terms: Lifting surface theory
• Subject Areas: Design; Marine Transportation;

Filing Info

• Accession Number: 00051084
• Record Type: Publication
• Source Agency: Engineering Index
• Files: TRIS
• Created Date: Feb 28 1974 12:00AM