Spanwise-Periodic Three Dimensional Disturbances in Nominally 2-D Separating Laminar Boundary Layer Flows. Part One. Theoretical Formulation.

Abstract

The results of a preliminary investigation on the stability of a nominally-two-dimensional laminar boundary layer flow approaching the separation point with respect to 3-D periodic spanwise disturbances, under the hypothesis that a steady state is reached, are presented. The basic equations of the disturbances are examined with an assumed form of the 3-D perturbations, resulting in a system of ordinary differential equations. Together with the boundary conditions requiring the disturbances to be zero at the wall and to vanish asymptotically at infinity, a two-point eigenvalue problem was formulated. Meksyn's method was adapted for the calculation of the basic two-dimensional flow parameters entering the equations in the region near the separation point. This method requires that the experimentally determined streamwise variation of the pressure at the edge of the boundary layer be known a priori. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1976
Accession Number
ADA033307

Entities

People

  • George R. Inger
  • M. Neamtu

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Boundary Layer
  • Boundary Layer Flow
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Eigenvalues
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Laminar Boundary Layer
  • Layers
  • Physical Properties
  • Pressure Distribution
  • Three Dimensional
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.