A SURVEY OF HIGHER-ORDER BOUNDARY-LAYER THEORY

Abstract

A survey of higher-order boundary-layer theory was made. The solutions to a number of cases of steady, plane or axisymmetry, laminar flows are reviewed where one or more of the higher order effects such as, displacement, longitudinal curvature, transverse curvature, and external vorticity are considered. The method of matched asymptotic expansion is offered as a technique which can be applied to such problems without having to rely upon physical insight. The more complicated compressible second-order boundary theory in contrast with the incompressible case is seen developed with minimum of error. A new field of application for higher-order boundary-layer theory is discussed. This is motion in which the basic inviscid flow is singular at the surface of the body. This situation has arisen recently in various branches of high-speed aerodynamics.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1967
Accession Number
AD0665136

Entities

People

  • Milton Van Dyke

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Asymptotic Series
  • Boundary Layer
  • Boundary Layer Flow
  • Computational Fluid Dynamics
  • Fluid Dynamics
  • Hydrodynamics
  • Incompressible Flow
  • Inviscid Flow
  • Laminar Boundary Layer
  • Navier Stokes Equations
  • Pressure Distribution
  • Pressure Gradients
  • Reynolds Number
  • Skin Friction
  • Stagnation Point
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Structural Dynamics.
  • Theoretical Analysis.