A NONLINEAR THEORY FOR SUPERCAVITATING FLOW PAST A WEDGE IN A LONGITUDINAL GRAVITY FIELD,
Abstract
An analysis is made of the effect of a longitudinal gravity field on two-dimensional supercavitating flow past wedges. Under the assumption that the flow is both irrotational and incom pressible, a nonlinear theory is developed for steady flow. A closed, finite cavity model is used. By utilizing the methods of conformal mapping in combination with the Schwarz reflection principle, the mathematical problem is reduced to a three-parameter, nonlinear integral equation with one constraint. The integral equation is derived by reflecting the flow about the rigid boundaries, and the constraint is obtained by requiring the net singularity strength inside the cavity and wedge system to be zero. A successive-approximation procedure has been devised to obtain a numerical solution of the integral equation. Typical results for the drag-coefficient and cavity dimensions as functions of cavitation and Froude numbers are presented in graphs and tables, and a comparison is made between the linear theory of Acosta and the present work. Finally, the existence and uniqueness of the solution are discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1963
- Accession Number
- AD0430045
Entities
People
- Charles W. Lenau
Organizations
- Stanford University