Accession Number : AD0426471

Title :   LIFTING-LINE THEORY AS A SINGULAR-PERTURBATION PROBLEM,

Corporate Author : STANFORD UNIV CALIF

Personal Author(s) : Van Dyke,Milton

Report Date : AUG 1963

Pagination or Media Count : 19

Abstract : The method of matched asymptotic expansions, recently developed for treating singularperturbation problems, is applied to the flat unswept lifting wing of high aspect ratio. This yields a simplified equivalent of Prandtl's lifting-line theory, with the solution of an integral equation replaced by quadratures. The next approximation is calculated in general terms. Specific application is made to cusped, lenticular, elliptic, and rectangular planforms, and comparison drawn where possible with previous work. Additional non-uniformities at tips and other discontinuities are described, and procedures outlined for their correction. (Author)

Descriptors :   (*WINGS, PERTURBATION THEORY), SUBSONIC FLOW, ASPECT RATIO, FLAT PLATE MODELS, VORTICES, ANGLE OF ATTACK, DOWNWASH, MATHEMATICAL ANALYSIS, DIFFERENTIAL EQUATIONS, AERODYNAMIC CONFIGURATIONS, RECTANGULAR BODIES, ELLIPSOIDS, LIFT, THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE