Accession Number:

AD0270508

Title:

A FREE STREAMLINE THEORY OF FLOWS ABOUT A FLAT PLATE WITH A FLAP AT ZERO CAVITATION NUMBER

Descriptive Note:

Technical rept.,

Corporate Author:

HYDRONAUTICS INC LAUREL MD

Personal Author(s):

• LIN,J.D.

Report Date:

1961-12-01

Pagination or Media Count:

1.0

Abstract:

The free streamline theory is applied to a uniform flow past a flat plate with a flap at infinite depth and at zero cavitation number. The solution is carried out on the basis of the exact non-linear boundary conditions on the free streamlines about the cavity. By LeviCivitas method, lift and drag coefficients can be found readily. Numerical results for the lift and drag coefficients are obtained for a number of cases with different combinations ofANGLES OF INCIDENCE, FLAP ANGLES AND FLAP-TOCHORD RATIONS. Johnsons approximate method of finding non-linear lift and drag coefficients for cambered hydrofoils is extended to the flap problem and satisfactory agreement is obtained with the exact theory for the infinite depth case within the practical range of angles of incidence and flap angles. In the absence of exact theory for finite depths, the application of Johnsons method is suggested and herein discussed. Author

Descriptors:

• *CAVITATION
• *FLAPS(CONTROL SURFACES)
• *HYDROFOILS
• *SHEETS
• AIRFOILS
• DIFFERENTIAL EQUATIONS
• GREENS FUNCTIONS
• HYDRODYNAMICS
• TAYLORS SERIES
• TRANSFORMATIONS(MATHEMATICS)

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE