DOUBLE-BODY FLOW THEORY-A NEW LOOK AT THE CLASSICAL PROBLEM

This study explores various methods for calculating potential flow around a double model of ship-like form. The discussion begins with the family of ellipsoids, which is the simplest of three-dimensional shapes possessing three unequal axes of length, beam and draft. For the potential flow past an ellipsoid moving with arbitrary velocity, the solution can be represented, equivalently, by a volume distribution of doublets, or a doublet-layer distributed over the limiting confocal ellipse, as well as by a source-layer or a doublet-layer distributed over the ellipsoid or over an interior confocal ellipsoid. The analytical behavior of these different representations of the solution (for an ellipsoid) is examined in detail. For arbitrary ship-like double models a general formulation of the potential flow problem is presented based on the representation of a body by a center plane distribution of doublets and moments of doublets for translational and rotational body motions. This construction results in an integral equation of the first kind for the doublet density. Several numerical methods investigated so far include an approximate direct method and an iteration scheme. The results for a double-elliptic hull form are presented.

Media Info

  • Features: References;
  • Pagination: p. 89-106

Subject/Index Terms

Filing Info

  • Accession Number: 00148547
  • Record Type: Publication
  • Source Agency: Engineering Index
  • Report/Paper Numbers: Proceeding
  • Files: TRIS
  • Created Date: Mar 15 1977 12:00AM