SIMILARITY OF A PROBLEM IN CONCENTRATION-DEPENDENT DIFFUSION AND FLOW IN A FREE BOUNDARY LAYER

Abstract

The mathematical similarity of a problem in one-dimensional diffusion in a semi-infinite medium when the diffusion coefficient varies linearly with concentration to the problem of the fully developed boundary layer between two fluid streams was demonstrated. By applying the von Mises transformation in reverse, the one-dimensional diffusion equation was transformed to the Prandtl boundary-layer equations, which were subsequently transformed to a single non- linear ordinary differential equation. The transformed boundary and initial conditions of the diffusion problem were shown to correspond to the boundary conditions for the mixing of two uniform fluid streams. Numerical results for the diffusion problem were obtained from existing solutions to the fluid mechanics problem.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1967
Accession Number
AD0661260

Entities

People

  • C. E. Willbanks

Organizations

  • Arnold Engineering Development Complex

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Boundary Layer
  • Coefficients
  • Coordinate Systems
  • Differential Equations
  • Diffusion
  • Diffusion Coefficient
  • Equations
  • Flow Fields
  • Fluid Dynamics
  • Fluid Mechanics
  • Fluid Statics
  • Government Procurement
  • Layers
  • Mechanics

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.