Unsteady Transonic Flows with Shock Waves in an Asymmetric Channel.

Abstract

Two-dimensional inviscid, unsteady transonic flows with shock waves in asymmetric channels with arbitrary wall shapes are investigated, using the method of matched asymptotic expansions. With the exception of thin regions in the neighborhood of the channel throat and the neighborhood of the shock wave, solutions found using linearized governing equations are valid. In the regions enclosing the shock wave, an inner solution which satisfies the shock jump conditions and matches with the outer solutions, is presented. The shock shape is found as part of the solution, which is obtained numerically using the method of integral relations. A composite solution, uniformly valid throughout the channel, and the relation between the instantaneous shock wave position and back pressure far downstream are presented. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1977
Accession Number
ADA040846

Entities

People

  • John S.-k. Chan
  • T. C. Adamson Jr.

Organizations

  • Purdue University

Tags

Communities of Interest

  • Counter IED
  • Space

DTIC Thesaurus Topics

  • Asymptotic Series
  • Back Pressure
  • Boundaries
  • Computational Fluid Dynamics
  • Coordinate Systems
  • Curvature
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Gas Dynamics
  • Michigan
  • Military Research
  • Pressure Distribution
  • Shock Waves
  • Transonic Flow
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Fluid Dynamics.