Integral Solution of Compressible Turbulent Boundary Layers Using Improved Velocity Profiles

Abstract

A shear-work integral method is developed for calculating compressible turbulent boundary layers on planar or axisymmetric bodies. This method differs from other integral techniques primarily in the velocity profile and the velocity-temperature relation used. The velocity profile is an analytical expression that depends on the local values of skin friction, shape factor, and Reynolds number based on momentum thickness, thus no new parameters not already occurring in the integral equations are introduced. The velocity- temperature relation is also an analytical expression that describes the total- temperature overshoot near the outer edge of turbulent adiabatic wall boundary layers with nonunity Prandtl number and recovery factor. The method is fast, easy to use, and shown to provide good agreement with experimental data. The resulting computer code is relatively small. A computer program listing that is applicable to the calculation of impermeable, adiabatic wall, turbulent boundary layers for Mach numbers up to three is included.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1978
Accession Number
ADA062946

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
  • Computational Fluid Dynamics
  • Computer Programs
  • Engineering
  • Equations
  • Experimental Data
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Integral Equations
  • Prandtl Number
  • Pressure Distribution
  • Reynolds Number
  • Shear Stresses
  • Turbulent Boundary Layer
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Combustion and Flow Dynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)