SLENDER, TWO-DIMENSIONAL POWER BODIES HAVING MINIMUM ZERO-LIFT DRAG IN HYPERSONIC FLOW,

The problem of finding the slender, symmetric, two-dimensional body having minimum zero-lift drag is solved by direct methods. A constant friction coefficient is assumed, and both the Newtonian impact law and the Newton-Busemann law are employed to provide the distribution of pressure coefficients over the body. For the class of power bodies, a generalized optimum condition is found in a determinantal form under the assumption that any two functions of the thickness, the length, the enclosed area, and the moment of inertia of the contour are prescribed. After these constraints are specified explicitly, particular problems are solved it is found that the exponent of the optimum power body is independent of the friction coefficient if the length is given and depends on it is the length is free. Finally, the solutions of this report are compared with the variational solutions of Refs. 1 and 2 for the Newtonian impact law and for the range of values of the friction parameter for which the variational solution includes only a single subarc. Author