DISTRIBUTION OF A TRACE ELEMENT IN A BOUNDARY LAYER WITH MASS TRANSFER.

Abstract

A theory is presented for the downstream distribution of a tracer injected into a boundary layer of a flat plate or cone with self-similar mass transfer. The tracer, which is injected over a finite length of the surface is assumed to be chemically inert. Its behavior is controlled by a frozen diffusion equation. The assumption of constant density - viscosity product, and unit Schmidt number results in a linear partial differential equation for the seed mass fraction. It is shown that for downstream of the tracer injection region, the analytical results reduce to a simple form; namely, the mass concentration profile is proportional to the local shear even in the presence of mass transfer. However, near the tracer injection region, even the first ten terms are insufficient to yield profiles comparable to those produced by a finite difference numerical integration scheme. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1969
Accession Number
AD0687097

Entities

People

  • James Wallace
  • Nelson H. Kemp

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Differential Equations
  • Diffusion
  • Equations
  • Layers
  • Mass Transfer
  • Mathematical Analysis
  • Mathematics
  • Numerical Integration
  • Partial Differential Equations
  • Payload

Fields of Study

  • Physics

Readers

  • Combustion science or combustion engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.