CommissioningIntermediateInstrumentation

Square-Root Flow Extraction Calculator

Convert differential-pressure signal percent to ideal flow percent and flow using the square-law relationship.

Why it matters: Transparent data reduction keeps raw values, criteria, symbols, and arithmetic available for review.

User inputs

Enter field measurements

4 inputs
The selected system is recorded with the calculation; these data-reduction equations are unit-neutral.
Enter the common unit label for the values, such as °F, psi, cfm, gpm, kW, or °C.
% spanLinear differential-pressure signal before square-root extraction.
selected unitsFlow corresponding to 100% differential signal.

Calculated result

Engineering evaluation

Calculation complete—verify project criteria
Square-root extracted flow (Q)500 units
Extracted flow percent (Q%)
50 %

Engineering interpretation

A 25% differential signal corresponds to 50% flow and 500 units under the square-law assumption.

Important limitations

  • Use only when the signal truly represents differential pressure across a fixed flow element and square-root extraction has not already been applied elsewhere.

Engineering knowledge center

Understand the calculation—not just the answer

2026-08-07 · Free Library
Governing relationships
Q%=100√(ΔP%/100)
Q=Q_d Q%/100
Current substitution

Q%=100√(25/100)=50%; Q=1000×50/100=500.

Calculation sequence

Step-by-step method

  1. Confirm the measurement boundary, time basis, and formula symbols.
  2. Apply the displayed equation to the user-entered values.
  3. Review data quality, uncertainty, project criteria, and professional disposition.

Equation legend

Inputs and calculated quantities

ΔP%
Differential-pressure signal — % span
Q_d
Flow at 100% signal — selected units
Q
Square-root extracted flow — units
Q%
Extracted flow percent — %

Engineering calculation disclaimer

These engineering tools are provided for educational, preliminary evaluation, field verification, and commissioning support. Results depend on the accuracy of user-entered information and the assumptions stated for each calculation. Every colored status and comparison is a screening indicator only; project criteria, contract requirements, applicable codes, manufacturer instructions, measurement uncertainty, and authorized engineering judgment govern. The tools do not replace project-specific engineering analysis or the judgment of a licensed professional engineer.

Read the full use and limitation statement