COMPUTATION OF THE COMPRESSIBLE LAMINAR BOUNDARY-LAYER FLOW INCLUDING DISPLACEMENT-THICKNESS INTERACTION USING FINITE-DIFFERENCE METHODS

Abstract

The equations for the laminar compressible boundary layer are presented along with the necessary boundary conditions. The equations are nondimensionalized, which results in using quantities of the same order of magnitude better suited for computations. The boundary-layer equations are also modified using the Howarth-Dorodnitsyn transformation, which results in equations advantageous for numerical computation when the flow is hypersonic. Since the boundary conditions require that the enthalpy and velocity be known at the outer edge of the boundary layer, the necessary formulas are presented to calculate the exterior flow, provided the pressure distribution is known. Finally, the characteristic values of the boundary layer (shearing stress, heat transfer, and displacement thickness) are defined.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1962
Accession Number
AD0273983

Entities

People

  • F. G. Blottner
  • I. Fluegge-lotz

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Boundary Layer Flow
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computer Programs
  • Difference Equations
  • Differential Equations
  • Flow Fields
  • Fluid Dynamics
  • Heat Transfer
  • Inviscid Flow
  • Navier Stokes Equations
  • Partial Differential Equations
  • Pressure Distribution
  • Pressure Gradients
  • Thermal Conductivity

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers