SOLUTION TO THE BINARY DIFFUSION LAMINAR BOUNDARY LAYER EQUATIONS INCLUDING THE EFFECT OF SECOND-ORDER TRANSVERSE CURVATURE

Abstract

The report presents a numerical method for solving the binary diffusion laminar boundary-layer equations. The differential equations of continuity, momentum, energy, and species diffusion are solved simultaneously for two-dimensional or axisymmetric flow. For the case of axisymmetric flow the second-order transverse curvature terms appearing in the equations are retained. Relations for mixture fluid properties as functions of local conditions in the boundary layer are developed and used in obtaining solutions to the equations. The mixtures considered in the investigation are He - air, Ar - air, and CO2 - air. Solutions to the equations are given for flow of a pure air free stream over a 9 degree half angle cone at a free stream Mach number of 10 and free stream Reynolds number, based on cone slant length of 940. The initial section of the cone is solid and mass injection is initiated at a location downstream of the tip. Results are presented and compared for calculations both including and neglecting the second-order transverse curvature effect.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1967
Accession Number
AD0647285

Entities

People

  • A. M. O. Smith
  • N. A. Jaffe
  • R. C. Lind

Organizations

  • Arnold Engineering Development Complex

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Axisymmetric
  • Axisymmetric Flow
  • Boundary Layer
  • Computer Programs
  • Differential Equations
  • Diffusion Coefficient
  • Equations
  • Free Stream
  • Heat Transfer
  • Hypersonic Flow
  • Laminar Boundary Layer
  • Mach Number
  • Pressure Gradients
  • Reynolds Number
  • Thermal Conductivity
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.