Hysteresis Curve in Reproduction of Reynolds’ Color-Band Experiments

This article describes the reproduction and extended analysis of Reynolds’ color-band experiment. Reynolds found two critical Reynolds numbers (Rc) in pipe flows: Rc1 of 12,830 from laminar to turbulent flow and Rc2 of 2030 from turbulent to laminar flow. Since no clear relationship has been establi...

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Veröffentlicht in:	Journal of fluids engineering 2008-05, Vol.130 (5), p.051202 (10)-051202 (10)
Hauptverfasser:	Kanda, Hidesada, Yanagiya, Takayuki
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Flows in ducts, channels, nozzles, and conduits Fluid dynamics Fundamental areas of phenomenology (including applications) Fundamental Issues and Canonical Flows Instrumentation for fluid dynamics Physics Transition to turbulence Turbulent flows, convection, and heat transfer
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Zusammenfassung:	This article describes the reproduction and extended analysis of Reynolds’ color-band experiment. Reynolds found two critical Reynolds numbers (Rc) in pipe flows: Rc1 of 12,830 from laminar to turbulent flow and Rc2 of 2030 from turbulent to laminar flow. Since no clear relationship has been established between them, we studied how the entrance shape affects Rc. Thus, for the first time, a hysteresis graph can be drawn by connecting the two curves of Rc1 and Rc2 such that the two Rc values lie on separate branches of the hysteresis plot.
ISSN:	0098-2202 1528-901X
DOI:	10.1115/1.2903741