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Phys. Fluids 10, 859 (1998); http://dx.doi.org/10.1063/1.869609 (10 pages)

Experimental study of the kinematic mixing of two fluids in a 2D enclosure

Olusegun J. Ilegbusi and Mahmut D. Mat

Department of Mechanical, Industrial and Manufacturing Engineering, Northeastern University, Boston, Massachusetts 02115

(Received 28 July 1997; accepted 29 December 1997)

A simple experiment is described to investigate the buoyancy driven mixing of two fluids separated by a valve in a 2D (two-dimension) enclosure. The experiment is performed for a range of Grashof numbers, Gr ranging from 1 to 3.7×105 and a valve speed of Vval = 0.05 m/s. Three distinct flow regimes are investigated within the parametric range considered, depending on the Grashof number: Chaotic (Gr ≥ 3.7×105), convective (1<Gr<3.7×105) and diffusive (Gr<1). A novel image processing technique is used to measure the mix fraction, interface elongation, and mixing width. The technique is based on the analysis of the color intensity of images obtained from the video recording. Mixing is quantified by analysis of the interface length and mixing width, from which the molecular mixing rate and Lyapunov exponents are deduced. The chaotic regime is found to be efficiently mixed compared with the convective and diffusive regimes. © 1998 American Institute of Physics.

© 1998 American Institute of Physics

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KEYWORDS and PACS

PACS

  • 47.80.-v

    Instrumentation and measurement methods in fluid dynamics

  • 64.75.-g

    Phase equilibria

  • 47.52.+j

    Chaos in fluid dynamics

  • 42.30.Sy

    Pattern recognition

  • 47.60.-i

    Flow phenomena in quasi-one-dimensional systems

  • 47.27.T-

    Turbulent transport processes

  • 07.05.Pj

    Image processing

  • 84.40.Ua

    Telecommunications: signal transmission and processing; communication satellites

ARTICLE DATA

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

For access to fully linked references, you need to log in.
    M. J. Andrews and D. B. Spalding, "A simple experiment to investigate two-dimensional mixing by Rayleigh-Taylor instability," Phys. Fluids A 2, 922 (1990)PFADEB000002000006000922000001.

    P. F. Linden and J. M. Redondo, "Molecular mixing in Rayleigh–Taylor instability. Part I: Global mixing," Phys. Fluids A 3(5), 1269 (1991)PFADEB000003000005001269000001.


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