Accession Number : AD0282127

Title :   A STUDY OF THE SLENDER TWO-DIMENSIONAL BODY OF MINIMUM DRAG USING THE NEWTON-BUSEMANN PRESSURE COEFFICIENT LAW.

Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH

Personal Author(s) : Miele,Angelo

Report Date : AUG 1962

Pagination or Media Count : 37

Abstract : An investigation was made of the problem of minimizing the drag of a slender, two-demensional body in hypersonic flow under the assumption that the pressure coefficient law is Newton's impact law as modified by Busemann to include centripetal acceleration effects. After the condition that the pressure coefficient be non-negative is accounted for and after arbitrary conditions are imposed on the thickness, the length, the enclosed area, and the moment of inertia of the contour, the minimal problem is formulated as a problem of the Mayer type and solved by the combined use of the Euler-Lagrange equations, the transversality condition, the Erdmann-Weierstrass corner conditions. and the properties of the switching function. The class of solutions was determined such that, among the four quantities being considered (the thickness, the length, the enclosed area, and the moment of inertiak of the contour), two are prescribed while the remaining are free. (Author)

Descriptors :   *AERODYNAMIC CONFIGURATIONS, *HYPERSONICS, DRAG, PRESSURE, BOUNDARY LAYER, FLUID FLOW, CYLINDRICAL BODIES, THEORY, MATHEMATICAL ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE