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General engineering arithmetic — not an ISO pipe selector

Circular-Pipe Flow–Area Arithmetic

Relate actual volumetric flow, cross-sectional mean velocity and actual circular inside diameter at one documented operating state. The worksheet does not invent a standard pipe size or design velocity.

No DN/NPS inferenceNo Schedule 40 tableNo safety verdict
Resultaat
Actual volumetric flow Q
Cross-sectional mean velocity
Internal flow diameter
Circular flow area
Dimensional arithmetic only.
A=πd²/4;  Q=A v̄;  d=√(4Q/(πv̄));  v̄=4Q/(πd²)

Q is actual volumetric flow at the assessed state [m³/s], A is the full circular internal flow area [m²], d is actual internal flow diameter [m], and v̄ is area-average velocity normal to that cross-section [m/s]. The equations are dimensional geometry and general engineering flow arithmetic; they are not presented as an ISO sizing formula.

Exact conversion basis

1 L=10−3 m³; 1 h=3600 s; 1 min=60 s; 1 in=0.0254 m exactly; 1 ft=0.3048 m exactly; and 1 US gallon=231 in³=0.003785411784 m³ exactly. “US gal/min” is explicitly not an Imperial gallon.

No automatic pipe selection

ISO 6708:1995 defines the DN alphanumeric designation system; it does not make DN equal to actual ID. NPS, outside diameter, schedule/wall series, material, manufacturing tolerance, lining, corrosion allowance and temperature/pressure effects are separate product-design inputs.

NEEDS_LICENSED_SOURCE: any exact ASME B36.10/B36.19 or other product-standard dimension used to choose a purchasable pipe. This worksheet intentionally contains no normative pipe-dimension rows.

Not calculated

  • Pressure drop, pump duty, Reynolds number, roughness, fittings or elevation effects.
  • Cavitation, flashing, compressibility changes, two-phase flow, erosion, water hammer, surge or acoustic/noise response.
  • Economic or safe velocity, minimum wall, pressure rating, corrosion/erosion allowance or code compliance.
  • Whether a selected nominal product has sufficient minimum ID after tolerances and service allowances.

Bronnen

University of Dayton, Volumetric Flowrate, Velocity and the Continuity Equation (2022); NIST SI Units — Length; NIST Handbook 44 Appendix C conversion table; ISO 6708:1995.

© 2024–2026 Vibromera — reviewed 13 July 2026
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