FINITE DIFFERENCE SOLUTION OF THE LAMINAR COMPRESSIBLE BOUNDARY LAYER EQUATIONS IN THE VON MISES VARIABLES WITH APPLICATIONS,

Abstract

A finite difference solution of the laminar compressible boundary layer equations in the von Mises variables is presented with applications to slot injection. The explicit scheme employed in the numerical method in conjunction with a set of compatibility conditions at the wall provides an accurate and efficient method of solution for the compressible boundary layer. From investigations of the decay of a disturbance in an incompressible zero pressure gradient flow a characteristic length is obtained beyond which local similarity may be taken as fully established independently of the initial velocity profiles. An analysis of the slot injection problem indicates that the pertinent parameters for slot cooling are the mass flow and stagnation temperature of the coolant. The effect of initial profiles must be included in those cases where transition is feasible. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1967
Accession Number
AD0653206

Entities

People

  • Gdalia Kleinstein

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Equations
  • Flow
  • Isotherms
  • Layers
  • Mass
  • Mass Flow
  • Physical Properties
  • Pressure Gradients
  • Stagnation Temperature
  • Temperature Gradients
  • Transitions

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.