On the interaction between a strut and the free surface
Abstract
A procedure is proposed for solving problems involving the flow around surfacepiercing struts. There are three steps: (1) an infinitefluid problem must be solved, in which the flow is antisymmetrical with respect to the plane of the undisturbed free surface; (2) from that solution, there is effectively a distribution of normal velocity imposed on the plane of antisymmetry; the resulting wavelike disturbance can be found by a procedure which is effectively a slenderbody analysis; (3) the wavelike disturbance produces a disturbance on the body (strut), which must be canceled by yet another wavelike motion, which can also be found locally from a slenderbody analysis. In order to justify the second and third steps, some difficulties and advantages associated with slendership theory are examined. It is shown how the usual axial source distribution of slendership theory can be modified systematically so that the slendership wave resistance becomes identical to the classical result of Michell for a thin ship. The slendership procedure has the further advantage that it is not limited to thin bodies, in particular, the body boundary condition should logically be satisfied on the exact location of the body surface, not on the centerplane.
 Publication:

Michigan Univ. Final Report
 Pub Date:
 August 1975
 Bibcode:
 1975muaa.reptS....O
 Keywords:

 Flow Distribution;
 Slender Bodies;
 Struts;
 Bow Waves;
 Surface Waves;
 Wave Fronts;
 Fluid Mechanics and Heat Transfer