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 S chool of São Carlos (EESC), University of São Paulo (USP)University of São 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 S chool of São Carlos (EESC), University of São Paulo (USP)

COB05581

University of São 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

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axial

GENERAL MATHEMATICAL REPRESENTATION OF THESE GENERAL MATHEMATICAL REPRESENTATION OF THESE SYSTEMS…SYSTEMS…

[ ]{ } [ ]{ } [ ]{ } { }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

Superficialvelocities(JG,JL)

Homogeneousvoid fraction(β)

Mixture Velocity (J)

Homogeneousvoid fraction(β)

In-situvoid fraction(α)

Slip (s)

In-situvelocities(vG,vL) , ,LL G G L

Q QJ J J J J

A A A A= = = + = =

Slip (s) L

L G

Q

Q Qβ =

+

GA

Aα =

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

, ,G G LL G G L

Q Q QQ QJ J J J J

A A A A

+= = = + = =

COB05581L GQ Q

, GLL G

L G

QQv v

A A= =

L

G

vs

v=

,(1 )

GLL G

JJv v

α α= =

−

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

The matrix {M}...

This results were obtainedto

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

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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 tpζ ζ ζ ζ ζ= + + +

viscous

flow-dependent

two-phase

structural

2 t sϕζ ζ ζ= −

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

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

The matrix {G}... this matrix containsexcitationmechanisms. Thus, it is the bridgebetween

Phase Flow

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

information about the Vibrationbetweenfluid and structural fields.

Vibration excitation mechanisms present in...

the collapse of Tacoma Narrows bridge

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FIV due to two-phase pipe flow

FLOWFLOW--INDUCED VIBRATION APPROACHESINDUCED VIBRATION APPROACHES

JG, JL

or

J, β

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

direct methodcoupled

uncoupled inversemethoduncoupledsystems

inversemethod

INDUCED VIBRATION APPROACHESINDUCED VIBRATION APPROACHES

phase Flow PatternStructural Excitation

COB05581Vibration Response

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

type of

Evanset al. (2004)

et al. (2010)

type offlow

2-phase

“pipe” approach

horizontal

single

experimental / heuristic

experimental / theoreticalhorizontal

RiverinePettigrew(2007)

Cargnelutti. (2010)

/ theoretical

experimentalU-tube2-phase

Monettee

experimentalelbow2-phase

experimental

Gamaet al. (2009) U-tubeelbow2-phase

MonetteePettigrew(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: São 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

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pipes

Research Foundation

.

CONCLUSIONS...CONCLUSIONS...

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

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ACKNOWLEDGEMENTS...ACKNOWLEDGEMENTS...

COB05581