Similarity of the Velocity Profile

Abstract

A new approach to study similarity of the velocity profile of the 2-D wall-bound boundary layer flow is presented. The approach is based on a simple concept; the area under a set of scaled velocity profile curves that show similarity behavior must be equal. By taking simple area integrals of the scaled velocity profile and its first derivative, we obtain a number of new results. For example, it is shown that if similarity exists, then: 1) the similarity velocity and length scaling parameters are interdependent, 2) the displacement thickness must be a similar length scaling parameter, and 3) the velocity scaling parameter must be proportional to the value of the stream-wise velocity above the boundary layer edge.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 2014
Accession Number
ADA609962

Entities

People

  • David Weyburne

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Displacement
  • Flow
  • Fluid Flow
  • Integrals
  • Layers
  • Navier Stokes Equations
  • Pressure Gradients
  • Thickness
  • Turbulent Boundary Layer
  • Turbulent Flow
  • Two Dimensional
  • United States

Fields of Study

  • Physics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Theoretical Analysis.