TEMPERATURE DEVELOPMENT IN THE ENTRANCE REGION OF A PARALLEL PLATE CHANNEL WITH WALL BLOWING

Abstract

The general mathematical problem of the thermal entrance region is formulated for a parallel plate channel by including the effects of viscous dissipation, axial conduction, and wall blowing. The associated eigenvalue problem is solved by the B. G. Galerkin method and the results are presented for constant wall temperature. It is shown that the particular method has distinct computational advantages over the classical form of solutions. The constant wall temperature case is investigated by employing the solutions of the eigenvalue problem, and it is concluded that the wall blowing parameter has considerable effect on the temperature development. The axial conduction term is also shown to have considerable effect on the temperature development for low values of Peclet number.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1969
Accession Number
AD0688210

Entities

People

  • James R. Blanks

Organizations

  • Arnold Engineering Development Complex

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Boundary Layer
  • Channel Flow
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Flow
  • Galerkin Method
  • Geometry
  • Heat Transfer
  • Incompressible Flow
  • Laminar Flow
  • Mathematics
  • Pipe Flow
  • Polyethylenes
  • Prandtl Number

Readers

  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.