Plumbing Pump Affinity Power Calculator

Calculate actual measured pump power affinity scenario at caller speed under independently verified same-impeller/fluid similarity; exponent 3, not a pump curve intersection, efficiency guarantee or operating instruction.

Description

Pump affinity power scales with the cube of speed under fixed impeller and fluid similarity.

Pump affinity power scales with the cube of speed under fixed impeller and fluid similarity. Actual system operation can depart from that ideal.1

The returned values include Ideal query power watts, Ideal speed ratio. The How section below explains the calculation, input rules and interpretation.

When to use Plumbing Pump Affinity Power Calculator

Use Plumbing Pump Affinity Power Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No efficiency guarantee, system-curve solution or operating instruction is supplied.

Prepare measured flows, pressures, temperatures or inventories with consistent units. For catalog tools, use independently verified capacities at the stated operating conditions and supply the explicit design demand.

How to use Plumbing Pump Affinity Power Calculator and understand its results

  1. Prepare measured flows, pressures, temperatures or inventories with consistent units. For catalog tools, use independently verified capacities at the stated operating conditions and supply the explicit design demand.
  2. Enter observedReferencePowerWatts, observedReferenceSpeedRpm, callerQuerySpeedRpm, callerSameImpellerAndFluidVerified using the field table and calculation rules, then run the tool.
  3. Read idealQueryPowerWatts, idealSpeedRatio. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
observedReferencePowerWattsObserved reference power wattsnumberRequired
observedReferenceSpeedRpmObserved reference speed rpmnumberRequired
callerQuerySpeedRpmCaller query speed rpmnumberRequired
callerSameImpellerAndFluidVerifiedCaller same impeller and fluid verifiedbooleanRequired

Enter nonnegative reference watts, positive reference and query speeds, and a true independently verified same-impeller/fluid flag. A false flag is an input error. Return ideal watts and speed ratio.

ratio=queryRpm/referenceRpm; queryPower=referencePower×ratio³

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
idealQueryPowerWattsIdeal query power wattsnumber
idealSpeedRatioIdeal speed rationumber
json
{
  "input": {
    "observedReferencePowerWatts": 1000,
    "observedReferenceSpeedRpm": 1000,
    "callerQuerySpeedRpm": 1500,
    "callerSameImpellerAndFluidVerified": true
  },
  "output": {
    "idealQueryPowerWatts": 3375,
    "idealSpeedRatio": 1.5
  }
}

Limitations and assumptions

No efficiency guarantee, system-curve solution or operating instruction is supplied.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Plumbing Pump Affinity Head Calculator: Pump affinity head scales with speed squared under fixed impeller and fluid similarity. It estimates a corresponding ideal point. For a complementary task, use Plumbing Pump Affinity Flow Calculator: Pump affinity flow scales directly with speed under fixed impeller and fluid similarity. The system curve can alter the operating flow.

References

  1. Plumbing Pump Affinity Power Calculator — tool.io

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