0
Research Papers: Fundamental Issues and Canonical Flows

Hysteresis Curve in Reproduction of Reynolds’ Color-Band Experiments

[+] Author and Article Information
Hidesada Kanda1

Department of Computer Science and Engineering, University of Aizu, Aizu-Wakamatsu, Fukushima 965-8580, Japankanda@u-aizu.ac.jp

Takayuki Yanagiya

Department of Computer Science and Engineering, University of Aizu, Aizu-Wakamatsu, Fukushima 965-8580, Japan

1

Corresponding author.

J. Fluids Eng 130(5), 051202 (Apr 29, 2008) (10 pages) doi:10.1115/1.2903741 History: Received September 25, 2007; Revised February 04, 2008; Published April 29, 2008

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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2008 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Flow state versus contraction ratio Cb and Re

Grahic Jump Location
Figure 2

Schematic diagram of the experimental apparatus

Grahic Jump Location
Figure 3

Sizes of ten pipe entrance shapes (unit: cm, D=2.6, L2=150)

Grahic Jump Location
Figure 4

Frequency of flow states against Re in the vicinity of Rc for St and Be4 (Procedures 1 and 2); (a) Straight pipe (St), (b) bellmouth (Be4)

Grahic Jump Location
Figure 5

Hysteresis curve drawn by connecting two lines of Rc1 and Rc2 against contraction ratio Cb

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In