ON THE OPTIMUM TRANSVERSAL CONTOUR OF A BODY AT HYPERSONIC SPEEDS

Abstract

In a previous paper (AD-296 177), the transversal contour of a slender body of a given length and base area was determined in such a way that the total drag (sum of the pressure drag and the friction drag) is a minimum. Directions were employed, and the analysis was confined to a body whose cross section is either a regular polygon or is composed of a basic circle external to which are superimposed symmetric segments of a logarithmic spiral. In this paper, these arbitrary limitations on the transversal contour are removed, and the minimum drag problem is investigated with the indirect methods of the Calculus of Variations. The following basic hypotheses are employed: (a) the body is slender in the longitudinal sense; (b) its longitudinal contour is represented by a power law; (c) the distribution of pressure coefficients is Newtonian; and (d) the distribution of skin friction coefficients versus the abscissa is represented by a power law.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1963
Accession Number
AD0407784

Entities

People

  • Angelo Miele
  • Gary R. Saaris

Organizations

  • Boeing

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Aerodynamic Drag
  • Bodies
  • Bodies Of Revolution
  • Boundaries
  • Boundary Value Problems
  • Calculus
  • Calculus Of Variations
  • Cartesian Coordinates
  • Coordinate Systems
  • Differential Equations
  • Drag
  • Dynamic Pressure
  • Equations
  • Fluid Mechanics
  • Friction
  • Geometry
  • Skin Friction

Readers

  • Approximation Theory.
  • Fluid Mechanics and Fluid Dynamics.

Technology Areas

  • Hypersonics