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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.
Results
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)
| Nominal | OD (mm) | Wall (mm) | ID (mm) | Area (mm²) |
|---|---|---|---|---|
| DN15 (½″) | 21.3 | 2.77 | 15.8 | 196 |
| DN20 (¾″) | 26.7 | 2.87 | 20.9 | 343 |
| DN25 (1″) | 33.4 | 3.38 | 26.6 | 556 |
| DN32 (1¼″) | 42.2 | 3.56 | 35.1 | 968 |
| DN40 (1½″) | 48.3 | 3.68 | 40.9 | 1,314 |
| DN50 (2″) | 60.3 | 3.91 | 52.5 | 2,165 |
| DN65 (2½″) | 73.0 | 5.16 | 62.7 | 3,087 |
| DN80 (3″) | 88.9 | 5.49 | 77.9 | 4,768 |
| DN100 (4″) | 114.3 | 6.02 | 102.3 | 8,213 |
| DN125 (5″) | 141.3 | 6.55 | 128.2 | 12,908 |
| DN150 (6″) | 168.3 | 7.11 | 154.1 | 18,638 |
| DN200 (8″) | 219.1 | 8.18 | 202.7 | 32,270 |
| DN250 (10″) | 273.1 | 9.27 | 254.5 | 50,869 |
| DN300 (12″) | 323.9 | 10.31 | 303.2 | 72,145 |
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
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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