A Simple New Analysis of Compressible Turbulent Two-Dimensional Skin Friction Under Arbitrary Conditions

Abstract

A new approach is proposed for analyzing the compressible turbulent boundary layer with arbitrary pressure gradient. The new theory generalizes an incompressible study to account for variations in wall temperature and free- stream Mach number and temperature. By properly handling the law-of-the-wall in the integration of momentum and continuity across the boundary layer, one may obtain a single ordinary differential equation for skin friction devoid of integral thicknesses and shape factors. The new differential equation is analyzed for various cases. For flat plate flow, a new relation is derived which is accurate for adiabatic flow and reasonably good for flow with heat transfer. For flow with strong adverse and favorable pressure gradients, the new theory is in good agreement with experiment. The new theory also contains an explicitly criterion for boundary layer flow separation.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1971
Accession Number
AD0720267

Entities

People

  • F. M. White
  • G. H. Christoph

Organizations

  • University of Rhode Island

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Boundary Layer
  • Boundary Layer Flow
  • Coefficients
  • Compressible Flow
  • Differential Equations
  • Equations
  • Flow Separation
  • Fluid Dynamics
  • Heat Transfer
  • Incompressible Flow
  • Mach Number
  • Mechanics
  • Reynolds Number
  • Temperature Gradients
  • Turbulent Boundary Layer
  • Turbulent Flow
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.