Boundary conditions for periodic flow fields

J. S. Vrentas; C. M. Vrentas

doi:10.1080/00986448308940045

Boundary conditions for periodic flow fields

J. S. Vrentas, C. M. Vrentas

Chemical Engineering

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

1 Scopus citations

Abstract

The problem of formulation of appropriate boundary conditions for periodic flow fields is investigated. Sufficient conditions are established for the uniqueness of solutions for the creeping flow of Newtonian fluids through periodically constricted tubes. A perturbation solution is developed for the Newtonian periodic flow problem for an arbitrary boundary shape with sufficiently small axial variations in tube radius. The nonuniqueness of solutions to periodic flow problems when an insufficient number of periodic boundary conditions are imposed is illustrated.

Original language	English (US)
Pages (from-to)	53-62
Number of pages	10
Journal	Chemical Engineering Communications
Volume	22
Issue number	1-2
DOIs	https://doi.org/10.1080/00986448308940045
State	Published - Jul 1 1983

All Science Journal Classification (ASJC) codes

General Chemistry
General Chemical Engineering

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10.1080/00986448308940045

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abstract = "The problem of formulation of appropriate boundary conditions for periodic flow fields is investigated. Sufficient conditions are established for the uniqueness of solutions for the creeping flow of Newtonian fluids through periodically constricted tubes. A perturbation solution is developed for the Newtonian periodic flow problem for an arbitrary boundary shape with sufficiently small axial variations in tube radius. The nonuniqueness of solutions to periodic flow problems when an insufficient number of periodic boundary conditions are imposed is illustrated.",

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AB - The problem of formulation of appropriate boundary conditions for periodic flow fields is investigated. Sufficient conditions are established for the uniqueness of solutions for the creeping flow of Newtonian fluids through periodically constricted tubes. A perturbation solution is developed for the Newtonian periodic flow problem for an arbitrary boundary shape with sufficiently small axial variations in tube radius. The nonuniqueness of solutions to periodic flow problems when an insufficient number of periodic boundary conditions are imposed is illustrated.

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Boundary conditions for periodic flow fields

Abstract

All Science Journal Classification (ASJC) codes

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