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Minor Loss Calculator

Head loss through fittings, valves, bends, entrances, and exits by the velocity-head (K) method. Enter flow and pipe diameter (or velocity directly), count the fittings in the run, and the calculator sums ΣK and returns the total minor loss. Companion to the minor loss coefficients reference card.

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K values are representative fully-turbulent (flanged/welded) values from Crane TP-410 and standard references — see the reference card for threaded-fitting values and ranges. Valve K varies strongly by manufacturer; use vendor data for final design of critical systems. Add pipe friction separately (Darcy-Weisbach or Hazen-Williams).

$$ h_L = \sum K \cdot \frac{V^2}{2g}, \qquad V = \frac{Q}{A} = \frac{4Q}{\pi d^2} $$
K loss coefficient (dimensionless) · V mean pipe velocity · g 32.2 ft/s² (9.81 m/s²) · Q flow rate · d pipe inside diameter.

Loss coefficients used by this calculator

Representative K values (fully turbulent, flanged/welded fittings)
ComponentKNotes
Entrance, sharp flush0.5Re-entrant 0.8–1.0; bellmouth 0.04–0.05
Exit to tank / reservoir1.0Full velocity head lost, any shape
90° elbow, standard0.30Threaded ≈ 0.9
90° elbow, long radius0.25Smooth r/D = 4–6 bend: 0.15–0.30
45° elbow0.20Threaded ≈ 0.4
Tee, run-through0.20Threaded ≈ 0.9
Tee, branch flow1.0Threaded ≈ 2.0
Gate valve, fully open0.20½ open ≈ 5.6 — don't throttle gate valves
Butterfly valve, fully open0.8Range 0.3–1.2 by size and disc
Swing check valve2.2Range 2.0–2.5
Globe valve, fully open8.0Range 6–10
Ball valve, full bore0.05Reduced-port higher

Worked example

Example — pump station discharge piping

Given: 8-inch DI force main run at Q = 1,200 gpm with 1 sharp entrance, 4 standard 90° elbows, 2 gate valves, 1 swing check, and a submerged exit.
A = π/4 · (8/12)² = 0.349 ft² · Q = 1,200 gpm ÷ 448.8 = 2.67 cfs
V = Q/A = 2.67 / 0.349 = 7.66 ft/s · velocity head = V²/2g = 7.66²/64.4 = 0.91 ft
ΣK = 0.5 + 4(0.30) + 2(0.20) + 2.2 + 1.0 = 5.3
hL = 5.3 × 0.91 = 4.8 ft — comparable to several hundred feet of pipe friction; in short station piping the fittings dominate.

References: Crane Co. Flow of Fluids Through Valves, Fittings, and Pipe, Technical Paper 410. Munson, Young & Okiishi, Fundamentals of Fluid Mechanics, Table 8.2. Idelchik, I.E., Handbook of Hydraulic Resistance.

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