OPTIMUM SLENDER TWO-DIMENSIONAL BODIES IN NEWTONIAN FLOW,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1962
- Accession Number
- AD0282093
Entities
People
- Angelo Miele
Organizations
- Boeing