The Singular Nature of Three-Dimensional Perturbations of Boundary Layers and the Small Cross Flow Theory,

Abstract

Three-dimensional perturbations on two-dimensional boundary layer flows are considered. First initially induced perturbations are studied and a general solution obtained. Second a specific externally induced perturbation is discussed. In both the streamwise velocity perturbation becomes infinite but the cross flow decays as downstream infinity is approached. This implies that the small cross flow approximation is a singular perturbation. The basis for this lies in the fact that the nature of the equations is changed by the approximation, viz., the zone of dependence property is lost.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1975
Accession Number
ADA016903

Entities

People

  • Raymond Sedney

Organizations

  • Ballistic Research Laboratory

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Cross Flow
  • Equations
  • Flow
  • Layers
  • Mathematics
  • Perturbations
  • Physical Properties
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Mechanics and Fluid Dynamics.