Simulations of planar flapping jets in confined channels

Francine Battaglia, Anil Kamalakant Kulkarni, Jinzhang Feng, Charles L. Merkle

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    Computational analyses are used to provide a more complete understanding of the mechanisms that contribute to the development of oscillating planar jets. The geometry considered is a two-dimensional jet exhausting into a blind channel, whose open end is opposite to the initial direction such that the jet must turn through 180 deg to exit. The resulting flowfields exhibit three distinct characters that depend on the channel expansion ratio and the Reynolds number. At low Reynolds numbers the flow is steady and symmetric. A symmetry-breaking bifurcation at intermediate Reynolds numbers produces steady asymmetric flows. A Hopf bifurcation at higher Reynolds numbers yields unsteady flows. Predicted critical Reynolds numbers and oscillation frequencies are presented for different expansion ratios. Solutions are obtained from the time-dependent Navier-Stokes equations by means of an incompressible formulation based on dual-time stepping via artificial compressibility.

    Original languageEnglish (US)
    Pages (from-to)1425-1431
    Number of pages7
    JournalAIAA Journal
    Volume36
    Issue number8
    DOIs
    StatePublished - Jan 1 1998

    Fingerprint

    Reynolds number
    Hopf bifurcation
    Steady flow
    Unsteady flow
    Compressibility
    Navier Stokes equations
    Geometry

    All Science Journal Classification (ASJC) codes

    • Aerospace Engineering

    Cite this

    Battaglia, Francine ; Kulkarni, Anil Kamalakant ; Feng, Jinzhang ; Merkle, Charles L. / Simulations of planar flapping jets in confined channels. In: AIAA Journal. 1998 ; Vol. 36, No. 8. pp. 1425-1431.
    @article{3c38157edd9c4923a4e366ee77e7f752,
    title = "Simulations of planar flapping jets in confined channels",
    abstract = "Computational analyses are used to provide a more complete understanding of the mechanisms that contribute to the development of oscillating planar jets. The geometry considered is a two-dimensional jet exhausting into a blind channel, whose open end is opposite to the initial direction such that the jet must turn through 180 deg to exit. The resulting flowfields exhibit three distinct characters that depend on the channel expansion ratio and the Reynolds number. At low Reynolds numbers the flow is steady and symmetric. A symmetry-breaking bifurcation at intermediate Reynolds numbers produces steady asymmetric flows. A Hopf bifurcation at higher Reynolds numbers yields unsteady flows. Predicted critical Reynolds numbers and oscillation frequencies are presented for different expansion ratios. Solutions are obtained from the time-dependent Navier-Stokes equations by means of an incompressible formulation based on dual-time stepping via artificial compressibility.",
    author = "Francine Battaglia and Kulkarni, {Anil Kamalakant} and Jinzhang Feng and Merkle, {Charles L.}",
    year = "1998",
    month = "1",
    day = "1",
    doi = "10.2514/2.533",
    language = "English (US)",
    volume = "36",
    pages = "1425--1431",
    journal = "AIAA Journal",
    issn = "0001-1452",
    publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",
    number = "8",

    }

    Battaglia, F, Kulkarni, AK, Feng, J & Merkle, CL 1998, 'Simulations of planar flapping jets in confined channels', AIAA Journal, vol. 36, no. 8, pp. 1425-1431. https://doi.org/10.2514/2.533

    Simulations of planar flapping jets in confined channels. / Battaglia, Francine; Kulkarni, Anil Kamalakant; Feng, Jinzhang; Merkle, Charles L.

    In: AIAA Journal, Vol. 36, No. 8, 01.01.1998, p. 1425-1431.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Simulations of planar flapping jets in confined channels

    AU - Battaglia, Francine

    AU - Kulkarni, Anil Kamalakant

    AU - Feng, Jinzhang

    AU - Merkle, Charles L.

    PY - 1998/1/1

    Y1 - 1998/1/1

    N2 - Computational analyses are used to provide a more complete understanding of the mechanisms that contribute to the development of oscillating planar jets. The geometry considered is a two-dimensional jet exhausting into a blind channel, whose open end is opposite to the initial direction such that the jet must turn through 180 deg to exit. The resulting flowfields exhibit three distinct characters that depend on the channel expansion ratio and the Reynolds number. At low Reynolds numbers the flow is steady and symmetric. A symmetry-breaking bifurcation at intermediate Reynolds numbers produces steady asymmetric flows. A Hopf bifurcation at higher Reynolds numbers yields unsteady flows. Predicted critical Reynolds numbers and oscillation frequencies are presented for different expansion ratios. Solutions are obtained from the time-dependent Navier-Stokes equations by means of an incompressible formulation based on dual-time stepping via artificial compressibility.

    AB - Computational analyses are used to provide a more complete understanding of the mechanisms that contribute to the development of oscillating planar jets. The geometry considered is a two-dimensional jet exhausting into a blind channel, whose open end is opposite to the initial direction such that the jet must turn through 180 deg to exit. The resulting flowfields exhibit three distinct characters that depend on the channel expansion ratio and the Reynolds number. At low Reynolds numbers the flow is steady and symmetric. A symmetry-breaking bifurcation at intermediate Reynolds numbers produces steady asymmetric flows. A Hopf bifurcation at higher Reynolds numbers yields unsteady flows. Predicted critical Reynolds numbers and oscillation frequencies are presented for different expansion ratios. Solutions are obtained from the time-dependent Navier-Stokes equations by means of an incompressible formulation based on dual-time stepping via artificial compressibility.

    UR - http://www.scopus.com/inward/record.url?scp=0001417857&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=0001417857&partnerID=8YFLogxK

    U2 - 10.2514/2.533

    DO - 10.2514/2.533

    M3 - Article

    VL - 36

    SP - 1425

    EP - 1431

    JO - AIAA Journal

    JF - AIAA Journal

    SN - 0001-1452

    IS - 8

    ER -