Accession Number:

ADA151473

Title:

The Role of Eigensolutions in Nonlinear Inverse Cavity-Flow-Theory.

Descriptive Note:

Technical memo.,

Corporate Author:

PENNSYLVANIA STATE UNIV UNIVERSITY PARK APPLIED RESEARCH LAB

Personal Author(s):

• Parkin,B. R.

Report Date:

1983-01-25

Pagination or Media Count:

53.0

Abstract:

The method of Levi Civita is applied to an isolated fully cavitating body at zero cavitation number and adapted to the solution of the inverse problem in which one prescribes the pressure distribution on the wetted surface and then calculates the shape. The novel feature of this work is the finding that the exact theory admits the existence of a point drag function or eigensolution. While this fact is of no particular importance in the classical direct problem, we already know from the linearized theory that the eigensolution plays an important role. In the present discussion, the basic properties of the exact point drag solution are explored under the samplest of conditions. In this way, complications which arise from non-zero cavitation numbers, free surface effects, or cascade interactions are avoided. The effects of this simple eigensolution on hydrodynamic forces and cavity shape are discussed. Key words include Cavity flows, Inverse hydrofoil design, and Mathematical properties.

Descriptors:

• *NUMERICAL METHODS AND PROCEDURES
• COMPUTATIONS
• SHAPE
• EIGENVECTORS
• CAVITIES
• SURFACES
• NONLINEAR SYSTEMS
• SOLUTIONS(GENERAL)
• WETTING
• SURFACE PROPERTIES
• INVERSION
• HYDRODYNAMICS
• PRESSURE DISTRIBUTION
• CAVITATION
• HYDROFOILS

Subject Categories:

• Theoretical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE