Water tools

    RO high-pressure pump power and specific energy

    The feed pump is the largest energy user in a reverse osmosis plant. How much of it comes back depends on the concentrate pressure and the energy recovery device.

    Brackish 10 to 30 bar; seawater 55 to 85 bar.
    The concentrate leaves at 80 to 90% of feed pressure.
    0 for none; pressure exchangers recover over 90%.
    Net specific energy
    2.89kWh/m³ permeate

    The thermodynamic minimum for seawater is about 0.70 kWh/m³; good seawater plants reach 2 to 3 kWh/m³, brackish plants under 1.

    Gross specific energy (no recovery)
    4.63kWh/m³ permeate
    Pump shaft power
    208kW
    Hydraulic power
    167kW
    Power recovered from the concentrate
    78kW
    Net power
    130kW

    How it works

    Hydraulic power of the feed pump, shaft power through the pump and motor efficiency, and the power an energy recovery device returns from the concentrate (1 bar·m³/s = 100 kW):

    Phyd=100QFPFPshaft=PhydηpumpPrec=100ηERDQCPC(1)
    SEC=Pshaft−PrecQP(2)
    where
    Phyd
    hydraulic power, kW
    QF,QC,QP
    feed, concentrate and permeate flow, m³/s
    PF,PC
    feed and concentrate pressure, bar
    Pshaft
    pump shaft power, kW
    ηpump
    pump and motor efficiency
    Prec
    power recovered from the concentrate, kW
    ηERD
    energy recovery device efficiency
    SEC
    specific energy, kWh per m³ of permeate

    with flows in m³/s and pressures in bar. The concentrate leaves the last element at 80 to 90% of feed pressure and more than 90% of that energy is recoverable with a pressure exchanger; the thermodynamic minimum for seawater is about 0.70 kWh/m³. Pretreatment, transfer and permeate pumps, and the second pass if any, are not included.

    Related reading

    These calculators use standard published formulas and are provided for preliminary engineering guidance. Confirm against measured data and vendor projections before design. Model your full water matrix in Nepti or post your project to compare provider proposals.