Comparison of the Compound Matrix and Orthonormalisation Methods for Calculating the Stability of Heated Water Boundary Layers

Abstract

A fourth-order eigenvalue finder for calculating the stability of heated water boundary layers has been developed from a sixth-order orthonormalisation method supplied by British Maritime Technology (BMT) Ltd. Comparisons have been made with a fourth-order eigenvalue finder based on the compound matrix method, also supplied by BMT, and the original sixth-order method. All the methods give similar results but there appear to be some numerical problems at high values of surface overheat. Keywords: Eigenvalues; Mathematical models; Boundary layer flow transition; Great britain.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 01, 1988
Accession Number
ADA196937

Entities

People

  • M. D. Thomas

Organizations

  • Admiralty Research Establishment

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Convergence
  • Eigenvalues
  • Equations
  • Flow
  • Frequency
  • Laminar Flow
  • Layers
  • Mathematical Models
  • Models
  • Reynolds Number
  • Specific Heat
  • Surface Temperature
  • Thermal Diffusivity
  • Viscosity

Readers

  • Approximation Theory.
  • Fluid Dynamics.
  • Phased Array Antenna Design.