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

Abstract

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)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1963
Accession Number
AD0415176

Entities

People

  • Gary R. Saaris

Organizations

  • Boeing

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Coefficients
  • Drag
  • Flow
  • Friction
  • Hypersonic Flow
  • Inertia
  • Moment Of Inertia
  • Physical Properties
  • Thickness
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.

Technology Areas

  • Hypersonics