A FINITE DIFFERENCE METHOD FOR SOLVING THE LAMINAR BOUNDARY LAYER EQUATIONS NEAR A WAKE NECK

Abstract

A laminar wake model is studied which assumes that the boundary layer equations are valid in a shear layer on the axis of symmetry, and that the local pressure is determined by a displacement interaction with the inviscid outer flow. The finite difference method used places no restrictions on the shape of the velocity profile. The qualitative features of the solution are the same as those found by previous investigators using integral methods, in that an otherwise arbitrary initial condition (the local free stream Mach number) is determined by the fact that only a particular value results in a physically meaningful solution. Two methods of finding the particular solution are investigated.

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Document Details

Document Type
Technical Report
Publication Date
Oct 28, 1965
Accession Number
AD0482931

Entities

People

  • Eric Baum

Organizations

  • Xerox

Tags

DTIC Thesaurus Topics

  • Base Flow
  • Boundaries
  • Boundary Layer
  • Computational Fluid Dynamics
  • Coordinate Systems
  • Differential Equations
  • Eigenvalues
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Integrals
  • Laminar Boundary Layer
  • Layers
  • Mach Number
  • Stagnation Point
  • Turbulent Mixing

Fields of Study

  • Mathematics
  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.