Analytic Studies of Two-Element Airfoil Systems.
Abstract
By using a general form of conformal mapping from the doubly-connected airfoil domain to the canonical ring domain, the problem of two interfering lifting airfoils is reduced to the solution of certain integral equations. It is shown that the solutions of these equations appropriate to (a) direct boundary-value problems (given shape), (b) inverse boundary-value problems (given velocities), and (c) simply mixed boundary-value problems (given either shape or velocity on one airfoil and the converse on the other) conform to the same general velocity formula. This formula consists of a singular part in terms of Theta functions and a Laurent series whose coefficients can be adapted to accommodate (a), (b), or (c) without further recourse to integral equations.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1975
- Accession Number
- ADA013264
Entities
People
- R. M. James
Organizations
- McDonnell Douglas