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

Abstract

The problem of finding the slender power body of revolution having minimum zero-lift drag in hypersonic flow 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. A generalized optimum condition is found in determinantal form under the assumption that any two arbitrary functions of the diameter, the length, the wetted area, the volume, and the exponent of the power body are prescribed. After these constraints are specified explicitly, particular problems are solved; it is found that, in all cases where the wetted area is not prescribed, the shape of the optimum power body is strongly dependent on the friction coefficient. It is found that the drag of the optimum power body approximates closely that of the variational solution body only in the cases where the diameter is one of the prescribed quantities.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1963
Accession Number
AD0414555

Entities

Organizations

  • Boeing

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bodies
  • Bodies Of Revolution
  • Coefficients
  • Diameters
  • Drag
  • Dynamic Pressure
  • Flight
  • Flow
  • Friction
  • Government Procurement
  • Hypersonic Flow
  • Law
  • Mechanics
  • Revolutions
  • Scientific Research
  • Slender Bodies
  • Three Dimensional

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.

Technology Areas

  • Hypersonics