AERODYNAMIC COEFFICIENTS FOR ARBITRARY CONVEX AXI-SYMMETRIC BODIES IN FREE MOLECULE FLOW,

Abstract

This report presents completely general double integrals for the aerodynamic coefficients of an arbitrary axi-symmetric body in any flow field. These integrals represent summations over the entire body surface of the forces and moments acting on local surface elements. The surface forces must, of course, be first determined by the solution of the much more difficult fluid mechanics problem. The latter problem is especially simple in free molecule flow. These surface stresses are derived for the special case of free molecule flow. The stresses are then expressed in terms of the judiciously chosen, local surface, coordinate system introduced previously which simplified the force and moment summations. When the expressions for the stresses are put in the double integrals mentioned above, the aerodynamic coefficients are obtained directly. Lastly, two approximations for the free molecule aerodynamic coefficients are suggested which permit one of the integrations to be performed analytically. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1960
Accession Number
AD0606157

Entities

People

  • Arnold Goldburg
  • Sheldon Weinbaum

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Coordinate Systems
  • Flow
  • Flow Fields
  • Fluid Mechanics
  • Integrals
  • Molecules

Fields of Study

  • Engineering

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.