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Same-state circular-pipe arithmetic

Actual-ID Pipe Mean-Velocity and Reynolds Arithmetic

Calculate cross-sectional mean velocity from actual volumetric flow and actual circular inside diameter. Add documented same-state kinematic viscosity only when a Reynolds-number screen is required.

Actual ID onlyOptional Reynolds numberNo safe-velocity grade
Cross-sectional mean velocity v̄
Diameter Reynolds number ReD
Conventional straight-pipe screen
Circular flow area
Contained volume per length
Arithmetic only.
A=πD²/4;  v̄=Q/A=4Q/(πD²);  ReD=v̄D/ν

Q is actual volumetric flow [m³/s],D is actual internal flow diameter [m],v̄ is cross-sectional mean velocity [m/s],and ν is same-state kinematic viscosity [m²/s].ReD is dimensionless.This is general engineering arithmetic,not an ISO sizing or acceptance formula.

Optional conventional Reynolds screen

When ν is supplied,the worksheet reports ReD and labels ReD<2300 as below the conventional transition screen,2300–4000 as the conventional transition interval,and ReD>4000 as above it for internal circular-pipe flow.These are screening ranges,not proof of the instantaneous flow state;transition depends on inlet disturbances,roughness,geometry,vibration and development length.

Exact conversions

1L=10−3m³;1h=3600s;1min=60s;1in=0.0254m exactly;1ft=0.3048m exactly;1USgal=231in³=0.003785411784m³ exactly;1cSt=1mm²/s=10−6m²/s.

Not a design verdict: no recommended velocity band,oversized-pipe diagnosis,pressure drop,noise,vibration,erosion,cavitation,surge,heat transfer or fitness decision is generated.

资料来源

University of Dayton flow-rate/velocity relation; University of Iowa pipe-flow Reynolds definition and conventional bands; Princeton transition-disturbance qualification; NIST exact international inch.

© 2024–2026 Vibromera — reviewed 13 July 2026
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