Plumbing Pump Head Required Calculator

Reconcile independently observed multi-segment pump-route lift/loss and signed pressure/velocity boundary differences; not existing scalar nonnegative total dynamic head, vendor pump selection or cavitation guarantee.

Description

Required pump head combines route elevation, losses and boundary pressure and velocity-head changes.

Required pump head combines route elevation, losses and boundary pressure and velocity-head changes. Favorable elevation or pressure retains its negative sign.^[1]

The returned values include Signed route static lift m, Total route loss m, Signed required pump head m. The How section below explains the calculation, input rules and interpretation.

When to use Plumbing Pump Head Required Calculator

Use Plumbing Pump Head Required Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No pump-curve intersection, NPSH or cavitation guarantee 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 Head Required Calculator and understand its results

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.
Enter observedRouteElevationChangesM, observedRouteLossesM, measuredDischargeMinusSuctionPressurePa, callerWaterDensityKgM3, callerGravityMetersSecondSquared, observedDischargeMinusSuctionVelocityHeadM using the field table and calculation rules, then run the tool.
Read signedRouteStaticLiftM, totalRouteLossM, signedRequiredPumpHeadM. The explanation below defines the units, signs, ordering and any flags or placeholder values.
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 field	Meaning	Value type; see rules below	Requirement
observedRouteElevationChangesM	Observed route elevation changes m	list of number	Required
observedRouteLossesM	Observed route losses m	list of number	Required
measuredDischargeMinusSuctionPressurePa	Measured discharge minus suction pressure Pa	number	Required
callerWaterDensityKgM3	Caller water density kg m3	number	Required
callerGravityMetersSecondSquared	Caller gravity meters second squared	number	Required
observedDischargeMinusSuctionVelocityHeadM	Observed discharge minus suction velocity head m	number	Required

Enter aligned nonempty finite elevation changes and nonnegative losses, finite signed pressure and velocity-head differences, and positive density and gravity. Return static lift, total loss and signed required head.

head=sum(lift)+sum(loss)+pressureDifference/(density×gravity)+velocityHeadDifference

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

Output field	Meaning	Value type
signedRouteStaticLiftM	Signed route static lift m	number
totalRouteLossM	Total route loss m	number
signedRequiredPumpHeadM	Signed required pump head m	number

json

{
  "input": {
    "observedRouteElevationChangesM": [
      2,
      -1
    ],
    "observedRouteLossesM": [
      1,
      3
    ],
    "measuredDischargeMinusSuctionPressurePa": 10000,
    "callerWaterDensityKgM3": 1000,
    "callerGravityMetersSecondSquared": 10,
    "observedDischargeMinusSuctionVelocityHeadM": 0.5
  },
  "output": {
    "signedRouteStaticLiftM": 1,
    "totalRouteLossM": 4,
    "signedRequiredPumpHeadM": 6.5
  }
}

Limitations and assumptions

No pump-curve intersection, NPSH or cavitation guarantee is supplied.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Plumbing Steam Condensate Return Pump Head Calculator: Condensate-return head combines signed elevation, friction and absolute-pressure difference. A favorable pressure difference can reduce the required head. For a complementary task, use Plumbing Hydronic Circulator Head Calculator: A parallel hydronic circuit requires its largest branch loss plus shared primary loss. Adding parallel heads would overstate the requirement.

References

Plumbing Pump Head Required Calculator — tool.io

Similar or alternative tools

Plumbing Steam Condensate Return Pump Head Calculator
Condensate-return head combines signed elevation, friction and absolute-pressure difference. A favorable pressure difference can reduce the required head.
Plumbing Hydronic Circulator Head Calculator
A parallel hydronic circuit requires its largest branch loss plus shared primary loss. Adding parallel heads would overstate the requirement.