SUPERSONIC FLOW WITH VORTICITY ABOUT A SLIGHTLY YAWING BODY OF REVOLUTION,

Abstract

Steady inviscid flow about a slightly yawing body of revolution has been approximated by a perturbation of the axisymmetric flow about the same body at the same free stream Mach Number. It is generally (but not always) assumed that the products of the perturbations are negligible. The hyperbolic system of partial differential equations of motion is transformed into characteristic form, then the perturbations are expanded in Fourier series, most of whose terms are shown to vanish. The remaining perturbation coefficients satisfy a linear homogeneous system of partial differential equations. The procedure has been developed with sufficient generality to include vorticity, and is applicable to bodies whose meridian sections have discontinuous slopes. Pressure ratios, normal force coefficients, and center of pressure positions calculated by this method for a 10 degree semi-angle cone cylinder with free stream Mach Number of 1.72 are in good agreement with wind tunnel and free flight data for yaws not exceeding five degrees. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1952
Accession Number
AD0801757

Entities

People

  • W. C. Carter

Organizations

  • Ballistic Research Laboratory

Tags

DTIC Thesaurus Topics

  • Axisymmetric Flow
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Flow
  • Fourier Series
  • Free Flight
  • Free Stream
  • Inviscid Flow
  • Mach Number
  • Partial Differential Equations
  • Perturbations
  • Supersonic Flow
  • Wind Tunnels

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers
  • Hypersonics - Hypersonic Flow