SIMILAR SOLUTIONS OF THE LAMINAR BOUNDARY-LAYER EQUATIONS WITH VARIABLE FLUID PROPERTIES

Abstract

Certain numerical solutions to the laminar boundary-layer similarity equations are presented which illustrate the effects of Prandtl number, viscosity-temperature variation, mass transfer, wall temperature, pressure gradient, and hypersonic parameter sigma on the structure of the boundary layer and the derivatives of velocity (shear force) and total enthalpy at the wall. The results show that the common boundary-layer simplifications (such as Prandtl number = 1, viscosity proportional to temperature, zero pressure gradient) often lead to numerical errors of 20 to 50 per cent in the predicted heat transfer, skin friction, and displacement thickness. The shear and enthalpy gradient are shown to depend on the form of the viscosity-temperature relation, the Prandtl number, and the hypersonic parameter sigma. Results for high surface mass-injection rates at the stagnation point indicate that the shear at the wall does not vanish as in the case of a flat plate.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1963
Accession Number
AD0414681

Entities

People

  • C. Forbes Dewey Jr.
  • Joseph F. Gross

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Fluid Mechanics
  • Free Stream
  • Heat Transfer
  • Laminar Boundary Layer
  • Mass Transfer
  • Partial Differential Equations
  • Prandtl Number
  • Pressure Gradients
  • Skin Friction
  • Stagnation Point
  • United States

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers