A Numerical Determination of Bifurcation Points for Low Reynolds Number Conical Flows

Abstract

It has long been established that supersonic flow over axisymmetric conical bodies at high angles of attack tend to develop a side force due to vortical asymmetry. One of the proposed reasons for the asymmetry is a bifurcation point in the solution of the Navier-Stokes equations. This study investigated the possible existence of a bifurcation point in the Navier-Stokes equations for subsonic flow. Newton's method, with gauss elimination, was used- to solve the steady-state, viscous, compressible Navier-Stokes equations in spherical coordinates assuming conical similarity. Navier-Stokes, Viscous, Vortical flow, Bifurcation, Newton's Method.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1993
Accession Number
ADA273984

Entities

People

  • Larry K. Waters

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Asymmetry
  • Bodies
  • Boundary Layer
  • Computational Fluid Dynamics
  • Coordinate Systems
  • Equations
  • Equations Of Motion
  • Flow
  • Fluid Dynamics
  • Navier Stokes Equations
  • Reynolds Number
  • Steady State
  • Subsonic Flow
  • Supersonic Flow
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.

Technology Areas

  • Hypersonics