THE POTENTIAL FUNCTIONS FOR SINGULARITIES ASSOCIATED WITH HYDROFOILS OF FINITE SPAN MOVING WITH SUBCRITICAL AND SUPERCRITICAL VELOCITIES IN SHALLOW WATER
DAVID TAYLOR MODEL BASIN WASHINGTON DC
Pagination or Media Count:
Singularities for a semi-infinite vortex sheet and a horizontal line doublet, both of finite span, may be used to represent the vorticity and displacement produced by a finite span hydrofoil. The boundary conditions which must be satisfied when these singularities move in shallow water are derived. Expressions for the potential functions are obtained for both the subcritical and supercritical ranges of Froude number. Explicit expressions for the x-, y-, and z-derivatives of the potential functions are also presented. Methods for determining the strengths of the singularities are discussed.
- Fluid Mechanics