BOUNDARY CONDITIONS FOR PERIODIC FLOW FIELDS

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...

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Veröffentlicht in:	Chemical engineering communications 1983-07, Vol.22 (1-2), p.53-62
Hauptverfasser:	VRENTAS, J.S., VRENTAS, C.M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Flows in ducts, channels, nozzles, and conduits Fluid dynamics Fundamental areas of phenomenology (including applications) Physics
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Beschreibung
Zusammenfassung:	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.
ISSN:	0098-6445 1563-5201
DOI:	10.1080/00986448308940045