REMARKS ON SIMILARITY SOLUTIONS FOR HYPERVELOCITY IMPACT

Abstract

The use of similarity flows is discussed in certain hydrodynamic impact problems, as a basis for approximate analytical solutions. After a qualitative discussion of various ways in which such solutions may be obtained, a single derivation is obtained of a class of oneparameter similarity flows for problems in 1, 2 and 3 dimensions, which includes substantially all those used previously, and allows the superposition of constant uniform motions. The perturbation equations which relate the asymptotic form of the actual solution to such similarity flows (under some conditions) are explicitly formulated and the equations of the characteristic surfaces which determine their behavior are derived.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 26, 1965
Accession Number
AD0620193

Entities

People

  • T. Teichmann

Organizations

  • General Dynamics

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Coefficients
  • Equations
  • Explosions
  • Explosives
  • Flow
  • Hydrodynamics
  • Hypersonic Flow
  • Hypervelocity Impact
  • Impact
  • Integrals
  • Layers
  • Method Of Characteristics
  • Perturbations
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.

Technology Areas

  • Hypersonics