Equivalent Length Calculator

K-Factor Method for Pipe Fittings (for use in Pressure Drop Calculations)

Pipe & Friction Details

Used only to report "effective length".
Typical turbulent f β‰ˆ 0.018–0.025.

Fittings (K-Factors)

Enter a list of fittings with their K-factor and quantity. Total K = Ξ£ (K Γ— Quantity); Equivalent length Leq = (Total K Γ— D) / f.
Fitting Description K-Factor Quantity Action

Results

Pipe Internal Diameter: -
Roughness / Diameter (Ξ΅/D): -
Friction Factor (f) Used: -
Total K-Factor (Ξ£K): -
Equivalent Length (Leq): -
Straight + Equivalent Length: -

Notes & Checks

Actions

Technical Notes

Variable Definitions

  • Ξ£K: Total minor-loss coefficient, Ξ£(Ki Γ— Qtyi) (dimensionless).
  • D: Pipe internal diameter (m). Calculated from pipe database as ID = OD βˆ’ 2Γ—WT.
  • Ξ΅: Absolute roughness (m) from selected material.
  • Ξ΅/D: Relative roughness (dimensionless).
  • Re: Reynolds number (dimensionless), used for friction factor when selected.
  • f: Darcy–Weisbach friction factor (dimensionless).
  • Leq: Equivalent length representing fitting losses as an equivalent straight-pipe length (m).
  • Leff: Effective length = Lstraight + Leq (m).

Formulas / Logic

  • Total K: Ξ£K = Ξ£(K Γ— Qty)
  • Equivalent length method: based on Darcy–Weisbach loss forms, Leq = (Ξ£K Γ— D) / f
  • Friction factor (if from Re): Haaland explicit approximation (turbulent/transition), with laminar fallback:
    • Laminar: f = 64 / Re (Re < 2300)
    • Haaland: 1/√f = βˆ’1.8 log10[( (Ξ΅/D)/3.7 )1.11 + 6.9/Re]
  • Unit handling: Internal calculations are in SI (m). If Imperial is selected, input straight length (ft) is converted to m for computation, and results are reported in both m and ft.

Assumptions / Notes / References

  • This tool supports the common K-factor (minor-loss) approach and converts it to an equivalent length for use in pressure-drop calculations.
  • K values are user inputs. Use reputable sources (e.g., Crane Technical Paper 410) or vendor data for valves/fittings.
  • Pipe OD and wall thickness are based on standard dimension tables (e.g., ASME B36.10M for carbon/alloy steel and ASME B36.19M for stainless). Always confirm against your project piping spec.
  • Haaland provides an explicit approximation to Colebrook; for detailed hydraulic design you may prefer a full Colebrook solver and a validated roughness model.
  • Validity: Ensure the selected f (or Re-based f) is consistent with your flow regime and that the same diameter basis is used as in your system model.
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