Lab3 Lecture

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    Purpose

    Test design

    Measurement system and Procedures

    Uncertainty Analysis

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    Purpose

    Examine the surface pressure distribution and wakevelocity profile on a Clark-Y airfoil

    Compute the lift and drag forces acting on the airfoil

    Specify the flow Reynolds number

    Compare the results with benchmark data

    Uncertainty analysis for Pressure coefficient

    Lift coefficient

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    Test Design

    Facility consists of:

    Closed circuit verticalwind tunnel.

    Airfoil

    Temperature sensor

    Pitot tubes

    Load cell

    Pressure transducer

    Automated data acquisition

    system

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    Test Design (contd.)Airfoil(=airplane surface: as wing) is placed in

    test section of a wind tunnel with free-stream velocity of 15 m/s. This airfoil isexposed to: Forces acting normal to free stream = Lift Forces acting parallel to free stream = Drag

    Only two dimensional airfoils are considered:Top of Airfoil: The velocity of the flow is greater than the free-

    stream. The pressure is negative

    Underside of Airfoil: Velocity of the flow is less than the free-stream. The pressure is positiveThis pressure distribution contribute to the lift

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    Measurement systems

    Instrumentation

    Protractorangle of attack

    Resistance temperature detectors

    (RTD) Pitot static probevelocity

    Vertical Pitot probe traverse

    Scanning valvescans pressureports

    Pressure transducer (Validyne) Digital Voltmeter (DVM)

    Load celllift and drag force

    Airfoil Model

    Pitot Tube(Free

    Stream)

    Pressure Taps

    Bundle oftubes

    Digitali/o

    A/DBoards

    SerialComm.(COM1)

    Software- Surface Pressure- Velocity- WT Control

    PC

    ScanivalvePosition

    Circuit (SPC)

    RTD

    MetrabyteM2521Signal

    Conditioner

    ScanivalveSignal

    Conditioner(SSC)

    ScanivalveController

    (SC)

    Scanivalve

    PressureTransducer(Validyne)

    DigitalVoltimeter

    (DVM)

    PressureInput

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    AOA, and Pressure taps positions

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    Data reduction

    In this experiment, the liftforce, L on the Airfoil willbe determined byintegration of the

    measured pressuredistribution over the

    Airfoils surface. Thefigure shows a typicalpressure distribution onan Airfoil and itsprojection .

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    Data reduction

    Calculation of lift force The lift force L is determined by integration of the

    measured pressure distribution over the airfoilssurface.

    It is expressed in a dimensionless form by the

    pressure coefficient Cpwhere, pi = surface pressuremeasured, = P pressure in the free-stream The lift force is also measured using the load cell and

    data acquisition system directly.

    U

    = free-stream velocity, r = air density(temperature),

    pstagnation= stagnation pressure measured at the tip ofthe pitot tube, L = Lift force, b = airfoil span, c =airfoil chord

    cU

    dspp

    C sL2

    2

    1

    sin

    r

    2

    21

    U

    ppC ip

    r

    r

    ppU

    stagnation2

    bcU

    LCL 2

    2

    r

    dsppLs

    sin

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    Data reduction

    The drag force, D on theAirfoil will be determinedby integration of themomentum loss found by

    measuring the axialvelocity profile in thewake of the Airfoil. Thefigure shows how the wakeof the airfoil affects the

    velocity profile.

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    Data reduction

    Calculation of drag force The lift force D is determined by integration of the

    momentum loss found from the velocity profilemeasurement.

    The velocity profile u(y) is approximated by

    measuring uiat predefined locations The drag force is also measured using the load celland data acquisition system directly.

    U= free-stream velocity, r = air density

    (temperature),pstagnation= stagnation pressure measured at the tip of

    the pitot tube, D = Lift force, b = airfoil span, c =airfoil chord

    dyuUucU

    C i

    y

    y

    iD

    U

    L

    2

    2

    r

    pypyu

    stagnation )(2)(

    bcU

    D

    CD 2

    2

    r

    dyyuUyuDU

    L

    y

    y

    )()( r

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    Calibration of load cellmass (kg) Volts

    0 -0.021

    0.295 -0.1525

    0.415 -0.203

    0.765 -0.3565

    1.31 -0.5935

    1.635 -0.7385

    Calibration program

    Program output

    Curve fitting method

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    Data acquisition

    Setting up the initial motor speed Visualization of wind tunnel conditions

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    Data acquisition (contd.)

    Data needed:

    Observation point list

    Sampling Rate

    Settling Time

    Length of each Sample

    Angle of attack

    Airfoil pressure visualization

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    Calculation of lift force

    Program to measure lift force in volts

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    Calculation of drag force

    Program to measure velocity in volts

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    Uncertainty analysis

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    Uncertainty analysisPressure coefficient Lift coefficient

    ),,( UppfC ip r

    222

    CpCpCp PBU

    2

    )(

    2

    )(

    2

    1

    22

    ppippiij

    i

    iCp BBB

    2_2

    Upp

    C

    i

    p

    ppi r

    MSP CpCp 2

    ),,,,( cUppfC iil r

    222

    CLCLCL PBU

    2

    )(

    2

    )(

    2

    1

    22

    ppippiij

    i

    iCL BBB

    MSP CLCL 2

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    Benchmark data

    Distribution of the pressure coefficients for

    = 0

    , 4

    , 8

    , 16

    and Re = 300,000

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    Benchmark data continued

    Reference data for CL

    Reference data for CD

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    ePIV

    Measurements ofcomplete flow field witha small Clark-Y

    Re1000

    Chord length 20 mm

    AoA of 0 and 16

    Plot the following

    Contour of velocitymagnitude

    Vector field

    Streamlines

    Two models: AoA 0and 16

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    ePIV-Post Processing

    Streamlines

    Contour ofvelocity

    magnitude

    Velocity

    vectors

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    ePIVPost Processing continued

    Flow conditions

    Re 1000

    AoA = 16

    PIV setting

    Brightness = 35

    Exposure = 100

    Gain = 100

    Frames = 9Window size = 30

    Shift size = 15

    PIV pairs = 9

    AirfoilWake

    Wall

    Wall

    Flow

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    ePIVAnalysisFlow features

    Optical hindrance

    Fast moving flow

    Low pressureregion

    Stagnation points

    Slow moving flowHigh pressure

    region

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    ePIVCFD ComparisonePIV CFD