Two-Dimensional Subsonic Compressible Flows Past Arbitrary Bodies by the Variational Method

Abstract

Instead of solving the nonlinear differential equation which governs the compressible flow, an approximate method of solution by means of the variational method is used in this report. The general problem of steady irrotational flow past an arbitrary body is formulated. Two examples were carried out, namely, the flow past a circular cylinder and the flow past a thin curved surface. The variational method yields results of velocity and pressure distributions which compare excellently with those found by existing methods. These results indicate that the variational method will yield good approximate solution for flow past both thick and thin bodies, at both high and low Mach numbers.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1951
Accession Number
ADA384006

Entities

People

  • Chi-teh Wang

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Compressible Flow
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Incompressible Flow
  • Mach Number
  • Nonlinear Differential Equations
  • Simultaneous Equations
  • Three Dimensional
  • Two Dimensional
  • Variational Methods
  • Variational Principles

Readers

  • Fluid Dynamics.