On Two-Dimensional Flow After a Curved Stationary Shock (with Special Reference to the Problem of Detached Shock Waves)

Abstract

The problem of two-dimensional flow behind a curved stationary shock wave is considered analytically. The method assumes a given shock-wave shape, which automatically determines certain initial conditions on the flow variables; and the flow pattern, including any body shape, follows from the initial conditions. Approximate analytic expressions are found for the stream function in the subsonic region following the shock and, after the stream function is obtained, the flow density is determined by Bernoulli's equation which connects the density with the derivatives of the stream function. The final solution can then be determined from the velocity field thus obtained.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1951
Accession Number
ADA382044

Entities

People

  • S. S. Shu

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Analytic Functions
  • Cauchy Problem
  • Complex Variables
  • Compressible Flow
  • Differential Equations
  • Equations
  • Flow
  • Free Stream
  • Mach Number
  • Real Variables
  • Shock
  • Shock Waves
  • Specific Heat
  • Stationary
  • Stratified Fluids
  • Two Dimensional
  • Two Dimensional Flow

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.