Axial conduction with boundary conditions of the mixed type

J. S. Vrentas, Christine Mary Vrentas

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A method is proposed for obtaining nearly analytical solutions to laminar flow thermal entrance region problems with axial conduction when the wall boundary conditions are of the mixed type. The method involves the utilization of Green's functions and the solution of a Fredholm integral equation using the Wiener-Hopf procedure. The method is illustrated by obtaining expressions for the temperature field for laminar flow in a circular tube in the zero Peclet number limit for Robin-Dirichlet wall boundary conditions.

Original languageEnglish (US)
Pages (from-to)3104-3111
Number of pages8
JournalChemical Engineering Science
Volume62
Issue number12
DOIs
StatePublished - May 1 2007

Fingerprint

Laminar flow
Conduction
Boundary conditions
Laminar Flow
Peclet number
Green's function
Integral equations
Temperature distribution
Fredholm Integral Equation
Temperature Field
Dirichlet
Tube
Analytical Solution
Zero
Hot Temperature

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering
  • Applied Mathematics

Cite this

Vrentas, J. S. ; Vrentas, Christine Mary. / Axial conduction with boundary conditions of the mixed type. In: Chemical Engineering Science. 2007 ; Vol. 62, No. 12. pp. 3104-3111.
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Axial conduction with boundary conditions of the mixed type. / Vrentas, J. S.; Vrentas, Christine Mary.

In: Chemical Engineering Science, Vol. 62, No. 12, 01.05.2007, p. 3104-3111.

Research output: Contribution to journalArticle

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