Studies of Von Karman's Similarity Theory and Its Extension to Compressible Flows. A Similarity Theory for Turbulent Boundary Layer Over a Flat Plate in Compressible Flow

Abstract

As an application of the concepts in NACA TN 2541, the problem of turbulent boundary layer over a flat plate in compressible flow is treated. The dissipation term in the energy equation, often neglected, is first carefully studied and found to be of importance. In the differential equations governing the fluctuations, the lower-frequency components of all quantities are regarded to participate in an equilibrium in accordance with the similarity concept. After proper linearization, a set of differential equations containing only the lower-order-frequency fluctuations is obtained. In parallel with Von Karman's theory in incompressible flow, the similarity scales for all the flow variables are derived. Two possible length scales are found, and the significance of this possibility is discussed.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1951
Accession Number
ADA380508

Entities

People

  • C. C. Lin
  • S. F. Shen

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Boundary Layer Flow
  • Channel Flow
  • Compressible Flow
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Free Stream
  • Heat Transfer
  • Incompressible Flow
  • Jet Flow
  • Layers
  • Mach Number
  • Prandtl Number
  • Turbulent Boundary Layer
  • Turbulent Flow
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.