Bifurcation of low reynolds number flows in symmetric channels

Francine Battaglia, Simon J. Tavener, Anil Kamalakant Kulkarni, Charles L. Merkle

    Research output: Contribution to conferencePaper

    2 Citations (Scopus)

    Abstract

    The flow fields in two-dimensional channels with discontinuous expansions are studied numerically to understand how the channel expansion ratio influences the symmetric and non-symmetric solutions that axe known to occur. For improved confidence and understanding, two distinct numerical techniques are used. The general flow field characteristics in both symmetric and asymmetric regimes are ascertained by a time-marching finite volume procedure. The flow fields and the bifurcation structure of the steady solutions of the Navier-Stokes equations are determined independently using the finite-element technique. The two procedures are then compared both as to their predicted critical Reynolds numbers and the resulting flow field characteristics. Following this, both numerical procedures are compared with experiments. The results show that the critical Reynolds number decreases with increasing channel expansion ratio. At a fixed supercritical Reynolds number, the location at which the jet first impinges on the channel wall grows linearly with the expansion ratio.

    Original languageEnglish (US)
    StatePublished - Jan 1 1996
    EventTheroretical Fluid Mechanics Conference, 1996 - New Orleans, United States
    Duration: Jun 17 1996Jun 20 1996

    Other

    OtherTheroretical Fluid Mechanics Conference, 1996
    CountryUnited States
    CityNew Orleans
    Period6/17/966/20/96

    Fingerprint

    Flow fields
    Reynolds number
    Navier Stokes equations
    Experiments

    All Science Journal Classification (ASJC) codes

    • Engineering(all)

    Cite this

    Battaglia, F., Tavener, S. J., Kulkarni, A. K., & Merkle, C. L. (1996). Bifurcation of low reynolds number flows in symmetric channels. Paper presented at Theroretical Fluid Mechanics Conference, 1996, New Orleans, United States.
    Battaglia, Francine ; Tavener, Simon J. ; Kulkarni, Anil Kamalakant ; Merkle, Charles L. / Bifurcation of low reynolds number flows in symmetric channels. Paper presented at Theroretical Fluid Mechanics Conference, 1996, New Orleans, United States.
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    abstract = "The flow fields in two-dimensional channels with discontinuous expansions are studied numerically to understand how the channel expansion ratio influences the symmetric and non-symmetric solutions that axe known to occur. For improved confidence and understanding, two distinct numerical techniques are used. The general flow field characteristics in both symmetric and asymmetric regimes are ascertained by a time-marching finite volume procedure. The flow fields and the bifurcation structure of the steady solutions of the Navier-Stokes equations are determined independently using the finite-element technique. The two procedures are then compared both as to their predicted critical Reynolds numbers and the resulting flow field characteristics. Following this, both numerical procedures are compared with experiments. The results show that the critical Reynolds number decreases with increasing channel expansion ratio. At a fixed supercritical Reynolds number, the location at which the jet first impinges on the channel wall grows linearly with the expansion ratio.",
    author = "Francine Battaglia and Tavener, {Simon J.} and Kulkarni, {Anil Kamalakant} and Merkle, {Charles L.}",
    year = "1996",
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    Battaglia, F, Tavener, SJ, Kulkarni, AK & Merkle, CL 1996, 'Bifurcation of low reynolds number flows in symmetric channels' Paper presented at Theroretical Fluid Mechanics Conference, 1996, New Orleans, United States, 6/17/96 - 6/20/96, .

    Bifurcation of low reynolds number flows in symmetric channels. / Battaglia, Francine; Tavener, Simon J.; Kulkarni, Anil Kamalakant; Merkle, Charles L.

    1996. Paper presented at Theroretical Fluid Mechanics Conference, 1996, New Orleans, United States.

    Research output: Contribution to conferencePaper

    TY - CONF

    T1 - Bifurcation of low reynolds number flows in symmetric channels

    AU - Battaglia, Francine

    AU - Tavener, Simon J.

    AU - Kulkarni, Anil Kamalakant

    AU - Merkle, Charles L.

    PY - 1996/1/1

    Y1 - 1996/1/1

    N2 - The flow fields in two-dimensional channels with discontinuous expansions are studied numerically to understand how the channel expansion ratio influences the symmetric and non-symmetric solutions that axe known to occur. For improved confidence and understanding, two distinct numerical techniques are used. The general flow field characteristics in both symmetric and asymmetric regimes are ascertained by a time-marching finite volume procedure. The flow fields and the bifurcation structure of the steady solutions of the Navier-Stokes equations are determined independently using the finite-element technique. The two procedures are then compared both as to their predicted critical Reynolds numbers and the resulting flow field characteristics. Following this, both numerical procedures are compared with experiments. The results show that the critical Reynolds number decreases with increasing channel expansion ratio. At a fixed supercritical Reynolds number, the location at which the jet first impinges on the channel wall grows linearly with the expansion ratio.

    AB - The flow fields in two-dimensional channels with discontinuous expansions are studied numerically to understand how the channel expansion ratio influences the symmetric and non-symmetric solutions that axe known to occur. For improved confidence and understanding, two distinct numerical techniques are used. The general flow field characteristics in both symmetric and asymmetric regimes are ascertained by a time-marching finite volume procedure. The flow fields and the bifurcation structure of the steady solutions of the Navier-Stokes equations are determined independently using the finite-element technique. The two procedures are then compared both as to their predicted critical Reynolds numbers and the resulting flow field characteristics. Following this, both numerical procedures are compared with experiments. The results show that the critical Reynolds number decreases with increasing channel expansion ratio. At a fixed supercritical Reynolds number, the location at which the jet first impinges on the channel wall grows linearly with the expansion ratio.

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    Battaglia F, Tavener SJ, Kulkarni AK, Merkle CL. Bifurcation of low reynolds number flows in symmetric channels. 1996. Paper presented at Theroretical Fluid Mechanics Conference, 1996, New Orleans, United States.