Calculation of the Stability of Heated Boundary Layers Using the Compound Matrix Method,

Abstract

A fourth-order Orr-Sommerfeld eigenvalue solver for heated boundary layers has been implemented on the VAX-11/785 computer. The solver is based on the compound matrix method and the effects of heating are limited to mean viscosity variation across the boundary layer. Some test computations have been carried out on flat plates with uniform wall temperature. For small overheat, the results agree with those previously published using other methods, but for large overheat, there are some minor differences. The calculation procedure requires a large number of integration steps across the boundary layer to obtain accurate eigenvalues, but is relatively insensitive to other physical and numerical parameters. A few computations have been carried out using a full sixth order model, which takes into account fluctuations in all the fluid properties. It is concluded that the fourth order method can be incorporated into an axisymmetric body calculation procedure.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1986
Accession Number
ADA181002

Entities

People

  • D. J. Atkins

Organizations

  • Admiralty Research Establishment

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computations
  • Computer Programs
  • Differential Equations
  • Eigenvalues
  • Equations
  • Equations Of Motion
  • Heat Capacity
  • Heat Flux
  • Heat Transfer
  • Layers
  • Reynolds Number
  • Specific Heat
  • Surface Temperature
  • Temperature Gradients
  • Thermal Conductivity
  • Two Dimensional

Fields of Study

  • Physics

Readers

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