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Controlled loss coefficients — no transition interpolation

Source-Gated Darcy–Weisbach Loss Arithmetic

Calculate dissipative loss for one constant-ID straight length plus an optional documented summed K. Supply a controlled Darcy factor,or use the narrow verified fully developed laminar route.

Darcy f explicitlyNo roughness presetsNo K presets
Entered-model dissipative pressure loss
Straight-pipe friction term
Documented-K term
Mean velocity
Darcy factor / Reynolds basis
Partial-system dissipative loss only.
v̄=4Q/(πD²); Δpmajor=fD(L/D)(ρv̄²/2); ΔpK=ΣK(ρv̄²/2); Δploss=Δpmajor+ΔpK

fD is the Darcy friction factor,not the Fanning factor.ΣK is dimensionless and must be referenced to the same mean velocity.The equations return positive dissipative loss magnitude,not a signed static-pressure difference or a complete energy equation.

Laminar route

ReD=v̄D/ν;  fD=64/ReD

The 64/ReD route is restricted to controlled fully developed laminar Newtonian flow in a full straight circular pipe and is rejected at or above the conventional ReD=2300 screen.Roughness does not enter that theoretical relation.

No transition model

No linear interpolation between laminar and turbulent friction factors is used.Transition is disturbance-dependent.For turbulent or transition work,supply fD from a documented method whose inputs,range and conventions match the assessed state.

Not calculated: material-based roughness,Colebrook/Moody selection,fitting K values,pipe sizing,acceptable loss,pump duty,elevation,acceleration,compressibility,two-phase flow,heat transfer,water hammer or cavitation.

แหล่งข้อมูล

Louisiana Tech Darcy–Weisbach and empirical K-factor scope; ERAU fully developed laminar 64/Re relation; Princeton disturbance-dependent transition; NIST conversion factors.

© 2024–2026 Vibromera — reviewed 13 July 2026
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