Unsteady Three-Dimensional Flow Theory Via Material Functions,

Abstract

A new Lagrangian formulation for unsteady three dimensional supersonic inviscid flow over rigid bodies is developed. The continuity equation is eliminated by the use of material functions, a generalization of the stream functions for steady flow. This is followed by a transformation to new independent variables, three of which are these material functions. The fourth variable is a Lagrangian time distinct from the Eulerian time. The simultaneous use of both Lagrangian and Eulerian time allows the problem of flow with shock wave to be reduced to a fixed boundary one. In the Newtonian limit it is found possible to obtain analytic solutions for various body shapes.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1985
Accession Number
ADP005039

Entities

People

  • H. J. Van Roessel
  • W. H. Hui

Organizations

  • University of Waterloo

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aerodynamics
  • Dynamics
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Hydrodynamics
  • Inviscid Flow
  • Materials
  • Mechanics
  • Shock Waves
  • Steady Flow
  • Three Dimensional
  • Three Dimensional Flow
  • Unsteady Aerodynamics

Fields of Study

  • Mathematics
  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers