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Pipe Diameter from Flow Rate Calculator

Calculate minimum pipe inner diameter from flow rate and velocity limit. Round up to standard DN sizes. Reverse mode: max flow for a given pipe size.

d = √(4Q/πv) DN Sizes Reverse Calc Economic Velocity
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Results

Minimum Pipe Diameter
Standard Pipe Size (Sch 40)
Actual Velocity (with std size)
Cross-Section Area
Max Flow at This Velocity
Next Smaller Size

Minimum Pipe Diameter

From the continuity equation Q = v × A and A = πd²/4:

The calculated diameter is the minimum; always round up to the next standard size.

Reverse Calculation — Maximum Flow

Standard Pipe Sizes (Schedule 40)

NominalOD (mm)Wall (mm)ID (mm)Area (mm²)
DN15 (½″)21.32.7715.8196
DN20 (¾″)26.72.8720.9343
DN25 (1″)33.43.3826.6556
DN32 (1¼″)42.23.5635.1968
DN40 (1½″)48.33.6840.91,314
DN50 (2″)60.33.9152.52,165
DN65 (2½″)73.05.1662.73,087
DN80 (3″)88.95.4977.94,768
DN100 (4″)114.36.02102.38,213
DN125 (5″)141.36.55128.212,908
DN150 (6″)168.37.11154.118,638
DN200 (8″)219.18.18202.732,270
DN250 (10″)273.19.27254.550,869
DN300 (12″)323.910.31303.272,145

Economic Velocity

The economic velocity is the flow speed that minimizes total cost — balancing pipe cost (capital) against pumping cost (energy):

  • Lower velocity → larger pipe (expensive) but lower pumping power
  • Higher velocity → smaller pipe (cheaper) but more energy to pump
  • Typical economic velocities for water: 1–2 m/s; for hydraulic oil: 3–5 m/s in pressure lines

💡 Rule of thumb: For systems running >4000 hours/year, lean toward lower velocities. For intermittent systems, higher velocities (smaller pipes) are acceptable.

Practical Example

Example — Hydraulic Pressure Line

Given: Q = 60 L/min, v_max = 4 m/s

Q = 60 / 60000 = 0.001 m³/s

d_min = √(4 × 0.001 / (π × 4)) = √(3.183 × 10⁻⁴) = 17.84 mm

Standard size: round up to DN20 (ID = 20.9 mm)

Actual velocity: v = 0.001 / (π/4 × 0.0209²) = 2.92 m/s ✓ within limit

⚠️ Note: Always verify that the actual velocity with the chosen standard pipe size is within your limit. If the next standard size down would exceed the velocity limit, you must use the larger size.

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