Turbinas - Donado

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    HYDRAULIC TURBINE

    BASIC HYDRAULICS

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    ASSISTANT PROFESSOR

    http://sites.unal.edu.co/a/bt.unal.edu.co/lddonadog

    Leonardo David DONADO-GA

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    CLASIFICATION

    IMPULSE REACTION

    http://www.youtube.com/watch?v=HzQPNpP55xQ&NR=1
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    PELTON WHEELS

    So called in honor ofLester A. Pelton (1829-1908)

    Patent in 1880 on animproved with a splitter in

    the middle. W.A. Doble brought out

    the ellipsoidal buccket,basis of the modern forms

    http://www.youtube.com/watch?v=4vGeUmbvcDk&feature=fvw
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    KAPLAN TURBINES

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    THE HYDRAULIC IMPULSE TURBIN

    HORIZONTAL Single Nozzle

    Single-overhu

    Double-overh

    VERTICAL SHA

    Multiple Nozz

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    SETTINGS

    www.geppert.at

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    HEAD ON IMPULSE TURBINE

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    HEAD ON IMPULSE TURBINE

    22 2 2

    2 1 2 2

    1

    1

    1 1 2 2 2 2

    = + = + +

    B B

    v

    p V A V v Vh k

    g C A g g

    Where:C

    vis the coefficient of velocity of the nozzle

    A2

    is the cross sectional flow area of the jet

    A1 is the cross sectional flow area of the pipe upstream of the nozzleV1

    is the velocity of jetv2

    is the velocity of water relative to bucket at exit from bucketV2

    is the absolute velocity of water leaving the bucketh is the energy head delivered to the bucketsk is the bucket friction loss coefficient [0.2 0.6]

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    NOZZLES

    In order to maintain a constant

    speed of rotation Size can vary with the position of

    the needle

    Shape of both nozzle tip andneedle should cause a minimumfriction loss and avoid cavitation

    damage The main idea is having all

    particles of water moving inparallel lines, with no spreadingout.

    2=jet VP Q

    energy.saving.nu/hydroenergy/

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    EXAMPLE

    A 6-in-diameter pipe (f = 0.020) of lengthdelivers from a reservoir with a water-surfaceof 500 ft to a nozzle at elevation 300 ft. Ththe nozzle is used to drive a small impulse tthe head loss through the nozzle can be exp0.04 of the kinetic energy of the jet, findiameter that will result in maximum powerNeglect the head loss at entrance to the pipereservoir. Evaluate the power in the jet.

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    HOMEWORK

    How is regulated the

    speed in an impulseturbine?

    How are constructed thewheels?

    How is determined thewheel diameter?

    Efficiency variation withsize and head

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    ACTION OF THE JET

    Bucket velocity, u

    Abs

    Jet v

    Relative

    Bucket velocity, v1

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    ACTION OF THE JET

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    TORQUE AND POWER FOR IDEAL C

    v2V2

    u

    V2= u + v

    2

    v1

    V1

    u

    V1= u + v1

    2 1 2 = = V V V

    ( ) 2 = =uF Q V

    2= = u

    DT F QD

    1 20 180 = =

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    TORQUE AND POWER FOR IDEAL C

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    TORQUE AND POWER FOR IDEAL C

    v2

    V2

    u

    V2= u + v

    2

    v1

    V1

    u

    V1= u + v

    1

    2

    2

    cos1

    1

    =

    + uF Q

    k

    2cos2 1

    1

    = +

    h k

    1 20 165 = =

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    ACTUAL TORQUE AND POWER

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    EXAMPLE

    Find the torque and power transferredbuckets of an impulse wheel with 1=0, k= 0.44, =0.46, Cv=0.98, a jet diameterand a pitch diameter of 10 ft. Findhydraulic efficiency, and, expressedpercentage of the total head, find: the hebucket friction, the energy head lossdischarge, and the head loss in the nozzle.

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    SPECIFIC SPEED

    A turbine is to o

    400 rpm under aof 1320 ft. If ain-diameter jetfind the specificthe machine

    Cv=0.98, =0=0.85. Findrequired pitch dthe wheel.

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    REACTION TURBINES

    Francis

    10 < Ns < 100

    Radial-flow

    Mixed-flow

    Kaplan:

    100 < Ns < 250

    Axial-flow

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    SPECIFIC SPEED

    For a small power under high head a Peltwith its low specific speed is used torotative speed down to a suitable value, wlarge power under a low head a reactiowith its higher specific speed is used torotative speed to a suitable value.

    A lot of possible combinations of N and P twith the fixed H.

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    REACTION TURBINES

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    REACTION TURBINES

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    TUBE TURBINE

    10 < h < 60Axial Flow

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    SETTINGS

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    DRAFT TUBES

    Integral part of the

    turbine and a desi Enable the turbine

    above the tail watwithout losing any thereby

    Reduce the head losubmerged discharthereby increase thavailable to the ru( ) 2 21 1 2

    1

    2 2

    abs atmL

    p p V Vz h

    g g = + +

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    DRAFT TUBES

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    NET HEAD

    22

    2 2

    CB BB

    Vp Vh zg g

    = + +

    ( ) ( )2 2

    1 2 2

    2 2

    CV V V V h h k

    g g

    = +

    O A ON A N S

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    OPERATION AT DIFFERENT SP

    For the inward-

    Francis turbine

    centrifugal acti

    decreases the f

    increasing whee

    Francis: 0.7 <

    Kaplan: 1.4