Non-Linear Corrections to the Linear Theory for the Prediction of the Cavitating Flow Around Hydrofoils.
Abstract
The problem of a partial or supercavitating hydrofoil in linear theory is formulated in terms of integral equations of unknown vortex and cavity source distributions. The general problem is decomposed into one camber, one of thickness, and one of angle of attack. The general solution is given in terms of integrals of known functions over the cavity length for partial or over the chord length for supercavitating hydrofoils. The numerical scheme to compute the integrals is shown to be very accurate and insensitive to the variables of the problem. Cavity shapes obtained from linear and non-linear theory are compared for certain special cases. Linear theory is shown to be accurate for supercavitating sharp-nosed hydrofoils at moderate angles of attack. The effect of the leading edge radius on the partial cavitation of a hydrofoil is introduced by incorporating Lighthill's correction in the linearized formulation of the problem. Results for certain special cases show the significant role of the leading edge radius on the cavitation of hydrofoils, something also confirmed from experiments conducted at the MIT water tunnel. Keywords: Cavitation; Cavitating hydrofoils; Cavity shape; Hydrofoils.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1985
- Accession Number
- ADA158105
Entities
People
- Spyros A. Kinnas
Organizations
- Massachusetts Institute of Technology