INVESTIGATION OF THE STABILITY OF BOUNDARY LAYERS BY A FINITE-DIFFERENCE MODEL OF THE NAVIER-STOKES EQUATIONS.

Research output: Contribution to journalArticle

173 Citations (Scopus)

Abstract

The stability of incompressible boundary-layer flows on a semi-infinite flat plate and the growth of disturbances in such flows are investigated by numerical integration of the complete Navier-Stokes equations for laminar two-dimensional flows. Forced time-dependent disturbances are introduced into the flow field and the reaction of the flow to such disturbances is studied by directly solving the Navier-Stokes equations using a finite-difference method. An implicit finite-difference scheme was developed for the calculation of the extremely unsteady flow fields which arose from the forced time-dependent disturbances. A demonstration of the suitability of the numerical method for the investigation of stability and the initial growth of disturbances is presented for small periodic perturbations. Refs.

Original languageEnglish (US)
Pages (from-to)355-383
Number of pages29
JournalJournal of Fluid Mechanics
Volume78
Issue numberpt 2
StatePublished - Jan 1 1976
Externally publishedYes

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Navier-Stokes equation
Navier Stokes equations
boundary layers
Flow fields
Boundary layers
disturbances
Boundary layer flow
Convergence of numerical methods
Unsteady flow
Finite difference method
Numerical methods
Demonstrations
flow distribution
incompressible boundary layer
two dimensional flow
boundary layer flow
unsteady flow
flat plates
numerical integration
perturbation

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

INVESTIGATION OF THE STABILITY OF BOUNDARY LAYERS BY A FINITE-DIFFERENCE MODEL OF THE NAVIER-STOKES EQUATIONS. / Fasel, Hermann F.

In: Journal of Fluid Mechanics, Vol. 78, No. pt 2, 01.01.1976, p. 355-383.

Research output: Contribution to journalArticle

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