Accession Number : AD0282093

Title :   OPTIMUM SLENDER TWO-DIMENSIONAL BODIES IN NEWTONIAN FLOW,

Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH

Personal Author(s) : Miele,Angelo

Report Date : JUL 1962

Pagination or Media Count : 20

Abstract : The problem of minimizing the drag of a slender, two-dimensional body in Newtonian flow at zero angle of attack is considered. A generalized closed form expression is obtained for the optimum shape which is valid regardless of the conditions imposed on the thickness, the length, the enclosed area, and the moment of inertia of the contour. This expression contains as particular cases those valid when any two of these four quantities are fixed while the remaining are free. If either of the two specified quantities is the thickness, the expression for the shape of the body is a power law; more specifically, the exponent of this law is 1 if the thickness and the length are given, 3/2 if the thickness and the enclosed are are given, and 3 if the thickness and the moment of inertia of the countour are given. For all of the cases considered here, analytical expressions are derived for the thickness ratio and the drag coefficient. Also, in order to verify the minimal properties of the solutions obtained, the optimum shapes are compared with each other. (Author)

Descriptors :   *BODIES OF REVOLUTION, *AIRFOILS, *HYPERSONIC FLOW, DRAG, ANALYSIS, ANGLE OF ATTACK INDICATORS, MOMENTS, PRESSURE, DIFFERENTIAL EQUATIONS, INTEGRAL EQUIATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE