SIMILAR SOLUTIONS IN VIBRATIONAL NONEQUILIBRIUM NOZZLE FLOWS

Abstract

The problem of obtaining similar solutions in pseudo-one-dimensional nozzle flows with vibrational relaxation is considered. The governing equations are transformed into a similar form by using a new similarity parameter eta so that the nonequilibrium flow solutions depend on two parameters for a given kind of gas. However, the similar equations are further reduced to a universal form by a transformation of the independent variable ETA to xi such that the similar solutions, for all combinations of initial conditions and for a defined family of nozzle shapes, depend on a single parameter chi which are then presented in a single graph. It is also shown that the equilibrium solutions depend on only one parameter xi. The parameters xi and chi are also the exact, general correlating parameters. With the present similar solutions the flow quantities in a nozzle are readily determined without resorting to complex computer programs.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0711684

Entities

People

  • Fred L. Daum
  • N. M. Reddy

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Computations
  • Computer Programs
  • Computers
  • Dynamics
  • Energy
  • Equations
  • Flow
  • Fluid Dynamics
  • Freezing
  • High Temperature
  • Lepidoptera
  • Mass Flow
  • Molecules
  • Nozzles
  • Vibration
  • Vibrational Relaxation

Fields of Study

  • Physics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.