Axial conduction with boundary conditions of the mixed type

J. S. Vrentas; C. M. Vrentas

doi:10.1016/j.ces.2007.03.009

Axial conduction with boundary conditions of the mixed type

J. S. Vrentas, C. M. Vrentas

Chemical Engineering

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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 language	English (US)
Pages (from-to)	3104-3111
Number of pages	8
Journal	Chemical Engineering Science
Volume	62
Issue number	12
DOIs	https://doi.org/10.1016/j.ces.2007.03.009
State	Published - May 2007

All Science Journal Classification (ASJC) codes

Chemistry(all)
Chemical Engineering(all)
Industrial and Manufacturing Engineering

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10.1016/j.ces.2007.03.009

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title = "Axial conduction with boundary conditions of the mixed type",

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.",

author = "Vrentas, {J. S.} and Vrentas, {C. M.}",

note = "Funding Information: This study was supported by funds provided by the Dow Chemical Company.",

year = "2007",

month = may,

doi = "10.1016/j.ces.2007.03.009",

language = "English (US)",

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journal = "Chemical Engineering Science",

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AU - Vrentas, J. S.

AU - Vrentas, C. M.

N1 - Funding Information: This study was supported by funds provided by the Dow Chemical Company.

PY - 2007/5

Y1 - 2007/5

N2 - 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.

AB - 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.

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SP - 3104

EP - 3111

JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 12

ER -

Axial conduction with boundary conditions of the mixed type

Abstract

All Science Journal Classification (ASJC) codes

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