FLOW-INDUCED VIBRATION DUE TO GAS-LIQUID PIPE FLOW ... FLOW-INDUCED VIBRATION DUE TO GAS FLOW: KNOWLEDGE

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  • FLOW-INDUCED VIBRATION DUE TO GASFLOW: KNOWLEDGE EVOLUTIONFLOW: KNOWLEDGE EVOLUTION

    MSc. Luis Enrique Ortiz Vidal , leortiz@sc.usp.brProf. Dr. Oscar M. H. Rodriguez, oscarmhr@sc.usp.br

    Department of Mechanical Engineering, Engineering School of So Carlos (EESC), University of So Paulo (USP)University of So Paulo (USP)

    INDUCED VIBRATION DUE TO GAS-LIQUID PIPE FLOW: KNOWLEDGE EVOLUTIONFLOW: KNOWLEDGE EVOLUTION

    MSc. Luis Enrique Ortiz Vidal , leortiz@sc.usp.brProf. Dr. Oscar M. H. Rodriguez, oscarmhr@sc.usp.br

    Department of Mechanical Engineering, Engineering School of So Carlos (EESC), University of So Paulo (USP)

    COB05581

    University of So Paulo (USP)

  • TACOMA NARROWS BRIDGE COLLAPSE (U.S.A. 1940): A TACOMA NARROWS BRIDGE COLLAPSE (U.S.A. 1940): A CLASSICAL EXAMPLE AND A CONSTANT CONFUSION CLASSICAL EXAMPLE AND A CONSTANT CONFUSION

    Initial excitation: Vortex-Induced Vibration (VIV)

    Cause of the collapse: Flutter

    TACOMA NARROWS BRIDGE COLLAPSE (U.S.A. 1940): A TACOMA NARROWS BRIDGE COLLAPSE (U.S.A. 1940): A CLASSICAL EXAMPLE AND A CONSTANT CONFUSION CLASSICAL EXAMPLE AND A CONSTANT CONFUSION

    COB05581Cause of the collapse: Flutter - Aerolastic self-exciting vibration

  • CONTEXTUALIZING THE PRESENT RESEARCH TOPIC CONTEXTUALIZING THE PRESENT RESEARCH TOPIC

    Fluid Structure Interaction

    FIV Flow-Induced Vibration

    external

    internal

    PIPE

    phase

    single

    cross

    internalphase

    CONTEXTUALIZING THE PRESENT RESEARCH TOPIC CONTEXTUALIZING THE PRESENT RESEARCH TOPIC

    phenomenawith recursiveapproach

    COB05581

    axial

  • GENERAL MATHEMATICAL REPRESENTATION OF THESE GENERAL MATHEMATICAL REPRESENTATION OF THESE SYSTEMSSYSTEMS

    [ ]{ } [ ]{ } [ ]{ } { }M Q C Q K Q G+ + =&& &

    added-mass

    damping

    stiffnesadded-mass

    Terms related to fluids

    stiffnes

    [ ]{ } [ ]{ } [ ]{ } { }e f e f e fM M Q C C Q K K Q G+ + + + + =&& &

    GENERAL MATHEMATICAL REPRESENTATION OF THESE GENERAL MATHEMATICAL REPRESENTATION OF THESE

    excitation forces

    COB05581[ ]{ } [ ]{ } [ ]{ } { }e f e f e fM M Q C C Q K K Q G+ + + + + =

  • GASGAS--LIQUID TWOLIQUID TWO--PHASE FLOW PARAMETERS...PHASE FLOW PARAMETERS...

    Gas-liquid flow-patterns

    Superficial velocities (JG,JL)

    Homogeneous void fraction ()

    Mixture Velocity (J)

    Homogeneous void fraction ()

    In-situ void fraction ()

    Slip (s)

    In-situ velocities (vG,vL) , ,LL G G LQ Q

    J J J J JA A A A

    = = = + = =

    Slip (s) LL G

    Q

    Q Q =

    +

    GA

    A =

    PHASE FLOW PARAMETERS...PHASE FLOW PARAMETERS...

    , ,G G LL G G LQ Q QQ Q

    J J J J JA A A A

    += = = + = =

    COB05581L GQ Q

    , GLL GL G

    QQv v

    A A= =

    L

    G

    vs

    v=

    ,(1 )

    GLL G

    JJv v

    = =

  • INFLUENCE OF TWOINFLUENCE OF TWO--PHASE FLOW PARAMETERS ON... PHASE FLOW PARAMETERS ON...

    The matrix {M}...

    This results were obtained to

    PHASE FLOW PARAMETERS ON... PHASE FLOW PARAMETERS ON...

    COB05581

    to gas-liquid external pipe flow

  • INFLUENCE OF TWOINFLUENCE OF TWO--PHASE FLOW PARAMETERS ON... PHASE FLOW PARAMETERS ON...

    The matrix {C}...

    t s v f tp = + + +

    viscous

    flow-dependent

    two-phase

    structural

    2 t s =

    PHASE FLOW PARAMETERS ON... PHASE FLOW PARAMETERS ON...

    COB05581

  • INFLUENCE OF TWOINFLUENCE OF TWO--PHASE FLOW PARAMETERS ON... PHASE FLOW PARAMETERS ON...

    The matrix {G}... this matrix containsexcitation mechanisms. Thus, it is the bridge between

    Phase Flow

    PHASE FLOW PARAMETERS ON... PHASE FLOW PARAMETERS ON...

    information about the Vibrationbetween fluid and structural fields.

    Vibration excitation mechanisms present in...

    the collapse of Tacoma Narrows bridge

    COB05581

    FIV due to two-phase pipe flow

  • FLOWFLOW--INDUCED VIBRATION APPROACHESINDUCED VIBRATION APPROACHES

    JG, JLor

    J,

    - Two-phase Flow Pattern- Void Fraction- Pressure Drop

    direct methodcoupled

    uncoupled inverse methoduncoupledsystems

    inverse method

    INDUCED VIBRATION APPROACHESINDUCED VIBRATION APPROACHES

    phase Flow PatternStructural Excitation

    COB05581Vibration Response

  • FLOWFLOW--INDUCED VIBRATION APPROACHES: SUMMARY*INDUCED VIBRATION APPROACHES: SUMMARY*

    type of

    Evans et al. (2004)

    et al. (2010)

    type offlow

    2-phase

    pipe approach

    horizontal

    single

    experimental / heuristic

    experimental / theoreticalhorizontal

    Riverin ePettigrew (2007)

    Cargnelutti. (2010)

    / theoretical

    experimentalU-tube2-phase

    Monette e

    experimentalelbow2-phase

    experimental

    Gama et al. (2009) U-tubeelbow2-phase

    Monette ePettigrew (2004)

    vertical2-phase

    * The references can be found in the full paper COB05581

    experimental / theoretical

    experimental

    INDUCED VIBRATION APPROACHES: SUMMARY*INDUCED VIBRATION APPROACHES: SUMMARY*

    excitationexcitationmechanism

    ---

    turbulence

    goal

    flow-pattern

    flowmeaseurement

    2-phase flow

    measeurement

    forces

    fluidelastic

    ---forces

    fluidelastic

    COB05581---

    fluidelasticinstability

    flow measurement

    fluidelasticinstability

  • OUR CONTRIBUTION...OUR CONTRIBUTION...

    Ortiz-Vidal and Rodriguez (2013)

    type offlow

    2-phase

    pipe approach

    horizontal / elbow

    theoretical / experimental

    Project: Inverse m ethod based

    strain structural signals for the

    two-phase flow patterns in pipestw o-phase flow patterns in pipes

    Financial support: So Paulo Research

    (FAPESP, proc.: 2009/17424-2) .

    theoretical / experimental

    excitationmechanism

    research about that!

    goal

    flow-pattern

    based on vibration and

    the determ ination of

    pipes

    COB05581

    pipes

    Research Foundation

    .

  • CONCLUSIONS...CONCLUSIONS...

    About:Flow-Induced VibrationAdded mass and dampingExcitation mechanismsExperimental dataTheoretical modelsDirect and Inverse modelsDirect and Inverse models

    COB05581

  • ACKNOWLEDGEMENTS...ACKNOWLEDGEMENTS...

    COB05581