Analytical Description of the Complete Two-Dimensional Turbulent Boundary-Layer Velocity Profile

Abstract

A single analytical expression is derived for the entire (0 < or = y < infinity) velocity distribution in a two-dimensional, turbulent boundary layer on a smooth impermeable wall. The analytical expression is a linear combination of two trigonometric functions, and the expression depends on the local parameters of skin friction, shape factor, and Reynolds number based on momentum thickness. One of the trigonometric functions is an analytical solution of the continuity, momentum, and turbulent kinetic energy equations in the inner region of the boundary layer and it depends on the inner variable y+. The other trigonometric function is an empirically derived function for the outer region and it depends on the outer variable y/theta. The analytical result is validated by numerous comparisons with experimental data which include boundary layers near separation, a reattached boundary layer, nonequilibrium boundary layers, and compressible boundary layers.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1977
Accession Number
ADA045033

Entities

People

  • David L. Whitfield

Organizations

  • Arnold Engineering Development Complex

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundary Layer
  • Boundary Layer Flow
  • Engineering
  • Equations
  • Experimental Data
  • Flow
  • Fluid Dynamics
  • Governments
  • Kinetic Energy
  • Mach Number
  • Pressure Gradients
  • Reynolds Number
  • Shear Stresses
  • Turbulent Boundary Layer
  • Two Dimensional
  • Wind Tunnels

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Fluid Mechanics and Fluid Dynamics.