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    HYDRAULIC PUMPSthe source of hydraulic power

    Text Ch #4

    Archimedean Screw3rd C BC

    References:

    W. Peng,Fundamentals of Turbomachinery, Wiley, 2008, CH #4Esposito, Fluid Power w/ Applications, Printice Hall, 1988.Lindeburg, M.E. Reference Manual, NSPE, 9th ed

    Volk, Pump Characteristics and Applications, Marcel Dekker, 1996Logan, Turbomachinery, Marcel Dekker, 1993.

    Video, History Channel, Modern Marvels: Pumps

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    HYDRAULIC PUMPSTwo very broad classifications

    Positive Displacement Pumps (PDP)Energy added intermittently to the fluid

    Reciprocating action pumps(pistons, plungers, diaphragms, bellows)

    Rotary action pumps(vanes, screws, gears, lobes)

    Kinetic PumpsEnergy added continuously to the fluidCentrifugal pumps (impeller)

    Axial pumps (propeller)

    Jet pumps

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    POSITIVE DISPLACEMENT PUMPS

    High Pressure (0-100k+ psi)Low FlowSmall, CompactHigh ViscositySlurriesTwo-Phase flowsHigh efficiency = (actual flow) / (theoretical flow) > 90%

    PISTON PUMP

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    GEAR PUMP

    LOBE PUMP

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    SCREW PUMP

    VANE PUMP

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    Kinetic Pumps

    CENTRIFUGAL PUMP

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    AXIAL FLOW PUMP

    JET PUMP

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    PUMP TERMINOLOGY: Head Pressure

    PRESSURE = HEAD x DENSITY

    10

    P = h x Many different types of head pressures:

    hf= friction head = fLeV2 / 2Dgc

    Flow resistance due to pipe friction, fitings, valves, entrances, exits, etc.

    hv = velocity head = V2 / 2gc

    ha = atmospheric pressure head = pa / (converted to fluid being pumped1 atm = 33.9 ft of water)

    hp = pressure head = P / pressure converted to feet of fluid being pumped

    hvp = vapor pressure head = Pvp / fluid vapor pressure converted to feet of fluid being pumped, steam tables can be used forwater, figures and tables available for other fluids. Fig L 4.9 vapor pressures of

    hydrocarbons.

    hs = static suction headvertical distance in feet above the pump centerline to the free level of the fluid source.

    If free level of fluid is below pump, referred to as the static suction lift.

    hsd = static discharge headvertical distance in feet above the pump centerline to the free level of the discharge.

    hts = total static headvertical distance in feet between the free level of the supply and discharge reservoirs.

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    hs

    STATIC SUCTION HEAD

    hs

    STATIC SUCTION LIFT

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    hsd

    STATIC DISCHARGE HEAD

    hts

    TOTAL STATIC HEAD

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    H = Total (dynamic) head= (total discharge head) (total suction head)= Hd Hs

    = ( hsd + hvd + h f, dis ) (hs h f,suction)

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    hs

    H

    Q

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    PUMP PERFORMANCE CURVE

    H (m)

    Q (m3/s)

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    PERFORMANCE & SPECIFIC SPEED & PUMP SELECTION

    NQ Ns ~

    H

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    COMPRESSORS

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    Centrifugal pump

    Axial inlet-radial/mixed outlet V2

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    R2

    R1 V1

    V1 W1 V2 W2

    U1 U2

    Vu2

    E = Vu1U1 Vu2U2 = gH

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    EXAMPLE

    V2

    W2

    U2

    Position 1= into eye of impeller

    Position 2 = exit of impeller

    = (2)/60 (4800) = 502.7 rad/s

    1. U2 = R2 = (502.7rad/s)(0.15m) = 75 m/s

    2. E = U2Vu2 U1Vu1 = (75.4)(75.4) m2/s2 0 = 5685 J/kg

    U21. Impeller tip speed U2 (m/s)2. Energy Transfer (J/kg)3. Power input (kW)

    FIND:

    No tangential component torelative exit velocity

    Sp.Gr. oil = 0.81Q = 63 l/s @ 4800 RPMImpeller Diameter = 30 cmCentrifugal Oil Pump

    Q = (63 l/s) = 0.063 m3/sm-dot = Q (density) = (0.63)(810) = 51 kg/s

    3. P = (m-dot)E = (51)(5685) = 290 kW

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    Radial Flow Hydraulic Turbine (for comparison)Radial inlet-Axial outlet

    W1

    20

    V1

    U1R1

    Vu1

    R2

    W2 V2

    U2

    V1

    E = Vu1U1 Vu2U2 = gH

    V2

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    21

    Q

    Variable SpeedMOTOR N(rpm)

    H

    VALVE

    CentrifugalPUMP

    H

    Q

    bhp

    NPSHR

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    Centrifugal PumpsHead Capacity Curves

    H(ft, m)

    Q(gpm, m3)

    N (rpm, rad/s)

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    EXAMPLE: Sun Valley, Idaho Guest LodgeWater from a hot springs (T~150 F) is to be pumped uphill to a guest lodge for space heating, swimmingpool, atrium and winter waterfall. The pump performance curve is attached. Suction line losses are

    negligible and delivery line losses are estimated to be ~150 ft-H2O.

    9000 ftLODGE

    Is cavitation a concern?

    of the pump?

    What is the power requirement (hp)

    (gpm) that can be delivered to the lodge?

    What is the maximum water flow rate7500 ft

    PUMP

    7493 ft

    150 oF

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    Bernoullis EquationConservation of energy, SFEE

    Z1 + P1/g + V12

    /2g HL HT = Z2 + P2/g + V22

    /2g

    Pressure rise across ideal pump impeller

    H = (P1 P2) /g + (V22

    V12

    ) / 2g

    Z = elevation headP/g = pressure headV2/2g = velocity headHL = friction loss head

    HT = turbine head

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    Boat Propeller

    Saturation pressure(cavitation)

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    PUMP WIND TURBINE

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    32o

    ~150o

    212o

    FTsat

    SATURATION TEMPERATUREAND VAPOR PRESSUREOF PURE WATER

    14.7 psia

    P

    5 psia

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    CAVITATION DAMAGE ON MARINE PROPELLERJ. Crepeau, visit to San Francisco