Plumbing Fire Sprinkler Pressure From Flow Calculator

Inverse actual sprinkler residualPpsi=(Q/K)², not code pressure prescription or hydraulic tree balance. Actual independently matched units, regime, material/equipment and governing references; not a hydraulic code, safe pressure, water pot ability or operational approval.

Description

A sprinkler K factor relates residual pressure to discharge.

A sprinkler K factor relates residual pressure to discharge.1

Inverting that relationship uses the same listed K-factor units. The calculation and input requirements are explained below.

When to use Plumbing Fire Sprinkler Pressure From Flow Calculator

Enter nonnegative sprinkler discharge US gpm and positive verified K in US gpm/sqrt(psi).

How to use Plumbing Fire Sprinkler Pressure From Flow Calculator and how it works

  1. Prepare the measurements or independently established model inputs described below, with matching units and observation scope.
  2. Enter the required fields and run Plumbing Fire Sprinkler Pressure From Flow Calculator.
  3. Read the result fields using the formula, output units, signs and ordering explained below.
  4. Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
Input fieldMeaningValue typeRequirement
actualSprinklerDischargeUsGpmActual Sprinkler Discharge Us Gpm. Use the units and matching context stated in the calculation below.numberRequired; nonnegative; finite; other constraints below
callerVerifiedSprinklerKUsGpmPerSqrtPsiCaller Verified Sprinkler K Us Gpm Per Sqrt Psi. Use the units and matching context stated in the calculation below.numberRequired; strictly positive; finite; other constraints below

Enter nonnegative sprinkler discharge US gpm and positive verified K in US gpm/sqrt(psi). Square Q/K to return residual psi under the matched sprinkler relationship. It does not solve a hydraulic network.

residualPsi=(Q_USgpm/K)^2

Apply the input ordering, units and branch conditions stated above.

Output fieldMeaningValue type
resultObject containing the calculated or selected fields below.object
result.valueNumeric result under the formula and output units explained above.number
json
{
  "input": {
    "actualSprinklerDischargeUsGpm": 20,
    "callerVerifiedSprinklerKUsGpmPerSqrtPsi": 10
  },
  "output": {
    "result": {
      "value": 4
    }
  }
}

Limitations and assumptions

The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.

All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.

Alternative or Complementary methods

Use Plumbing Fire Sprinkler K Factor Flow Calculator for a complementary operation: A sprinkler's listed K factor relates residual pressure to discharge flow.

Use Plumbing Fire Sprinkler Hydraulic Demand Calculator for a complementary operation: Sprinkler hydraulic demand includes simultaneously operating discharges and applicable hose allowance.

References

  1. Plumbing Fire Sprinkler Pressure From Flow Calculator — tool.io

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