RESTRICTED VARIATIONAL PRINCIPLE METHOD FOR THE PREDICTION OF LOW-DENSITY TRANSITIONAL REGIME CONE DRAG,

Abstract

Rosen's restricted variational principle representation of the Boltzmann equation was applied to the problem of determining the transitional regime low-density hypersonic flow over slender conical vehicles with diffusely reflecting surfaces. By means of a suitable choice of a trial distribution function, the Euler-Lagrange equations derived from Rosen's functional result in a semilinear hyperbolic system amenable to solution by classical characteristics methods. Sample calculations are given and compared with the low-density cone flow experiments of Hickman for assessment of the accuracy of the method presented. It is believed that this method constitutes the first solution method for boundary value problems in the low-density transitional flow regime. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0657767

Entities

People

  • Charles R. Ortloff

Organizations

  • The Aerospace Corporation

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Boltzmann Equation
  • Boundaries
  • Boundary Value Problems
  • Distribution Functions
  • Equations
  • Flow
  • Hypersonic Flow
  • Low Density
  • Mathematics
  • Variational Principles

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Pulsed Power and Plasma Physics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers
  • Hypersonics - Hypersonic Flight