Transformation Theory for the Compressible Turbulent Boundary Layer with Arbitrary Pressure Gradient

Abstract

Coles' analytical development of the transformation has been reviewed and its application to the constant pressure turbulent boundary layer studied. The limitations of the theory noted by Baronti and Libby are clarified, and an attempt is made to explain the remaining discrepancies. The equations governing the scaling functions (which link the high speed boundary layer to an equivalent low speed flow) are derived in terms of the integral properties of the low speed flow for an arbitrary pressure distribution. The modeling is completed by coupling the pressure gradients of the two flows and predicting the behavior of the integral properties of the low speed flow. The resulting formulation predicts the integral properties of the high speed turbulent boundary layer as well as the required modeling to an equivalent low speed flow. Finally, the theory is applied to a variety of situations.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1968
Accession Number
AD0848843

Entities

People

  • John E. Lewis
  • Toshi Kubota
  • Wilmot H. Webb

Organizations

  • TRW Inc.

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Department Of Defense
  • Equations
  • Government (Foreign)
  • Governments
  • Layers
  • Mach Number
  • Pipe Flow
  • Pressure Distribution
  • Pressure Gradients
  • Turbulent Boundary Layer
  • Turbulent Flow
  • Variable Pressure

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Fluid Dynamics.