
Accession Number : AD0804281
Title : LINEARIZED THEORY OF THREEDIMENSIONAL CAVITY FLOW WITH VENTILATION TO THE FREE SURFACE.
Descriptive Note : Final rept.,
Corporate Author : CONTROL DATA CORP MELVILLE NY TRG DIV
Personal Author(s) : Lurye, Jerome R.
Report Date : JUN 1966
Pagination or Media Count : 26
Abstract : A linearized theory is presented of threedimensional cavity flow past a vertical surfacepiercing strut, the cavity being vented to the free surface. The linearization stems from the assumption that both the strut and the cavity to its rear are sufficiently thin for their effect on the flow to be describable in terms of thinbody theory. Accordingly, the linearized disturbance potential is represented by a set of sources  with density function proportional to some thinness parameter distributed over a domain in the common vertical longitudinal midplane of the strut and cavity. Both the shape of this domain and the sourcedensity function are only partially specified and it is their simultaneous determination that constitutes the central problem of the theory. Mathematically, this problem is equivalent to the solution of a certain twodimensional integral equation, subject to two side conditions. The linearized formulation indicates that in the case of thin struts whose chordlength and draft are of the same order of magnitude, any flowspeed high enough for the strut to be vented down to its full depth is also high enough for the linearized disturbance potential to satisfy the infinitespeed linearized freesurface condition with good approximation.
Descriptors : *CAVITATION), (*THREE DIMENSIONAL FLOW, HYDRODYNAMICS, INCOMPRESSIBLE FLOW, WATER, SLENDER BODIES, HYDROFOILS, MOUNTING BRACKETS, FLUID DYNAMICS, MATHEMATICAL MODELS, PRESSURE, DRAG.
Subject Categories : Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE