Calculate water flow rate through pipes, convert between GPM and litres per minute, and find pipe flow capacity using velocity and pressure. Free tool with charts, formulas, and worked examples.
Flow rate is the volume of fluid — typically water — that moves past a given point in a pipe or system per unit of time. It tells you how much water is actually flowing, not just how fast. Flow rate is the most important measurement in plumbing, hydraulics, irrigation, heating systems, and water supply design.
The most common units for flow rate are:
Flow rate depends on three main factors: the diameter of the pipe, the velocity of the water, and the pressure driving it. A larger pipe at the same pressure carries more water. Higher pressure forces water faster. More friction — from bends, valves, or rough pipe walls — reduces flow.
In a domestic UK home, your mains water supply enters at a flow rate typically between 15 and 25 litres per minute. A good shower needs at least 8–10 L/min to feel adequate. Understanding flow rate lets you size pipes correctly, avoid pressure drops, choose the right pump, and design systems that work reliably.
Volumetric flow rate (symbol Q) measures the volume of fluid passing through a cross-section per second. It is not the same as velocity — a large pipe at low velocity can carry the same flow rate as a small pipe at high velocity.
Use the calculator below to find flow rate from pipe diameter and velocity, estimate flow from pressure, or calculate how long it takes to fill a tank. Select the calculation mode you need.
Estimates flow using Torricelli / simplified orifice formula: Q = Cd × A × √(2ΔP/ρ). Use as a guide — actual system losses vary.
This is a theoretical maximum. Real-world system friction, bends, and fittings will reduce actual flow. Use a pressure drop calculator for full pipe system analysis.
The fundamental formula for volumetric flow rate is:
For a circular pipe, the cross-sectional area is:
Combining both gives the full pipe flow formula:
Once you have Q in m³/s, convert as follows:
22mm = 0.022 mA = π × (0.022/2)² = π × 0.011² = 3.801 × 10⁻⁴ m²Q = 1.5 × 3.801 × 10⁻⁴ = 5.70 × 10⁻⁴ m³/s0.000570 m³/s × 60,000 = 34.2 L/min34.2 × 0.2642 = 9.03 GPMMass flow rate (ṁ) accounts for fluid density. For water at 15°C (density ≈ 999 kg/m³):
The tables below show typical water flow rates through standard pipe sizes at various velocities. Select a pipe size to view its chart. These values are calculated using Q = V × A and assume clean, straight copper or plastic pipe.
Important: These are theoretical flow rates based on velocity. Actual flow in a real system will be lower due to friction losses, bends, fittings, and back-pressure. Always allow a safety margin when sizing pipes. Recommended velocity for domestic cold water is 1.0–2.0 m/s; hot water 1.0–1.5 m/s.
15mm copper tube is the most common pipe size in UK domestic plumbing — used for individual tap and appliance connections.
| Velocity (m/s) | L/min | L/s | m³/hr | GPM | Suitability |
|---|---|---|---|---|---|
| 0.5 | 2.7 | 0.045 | 0.16 | 0.71 | Low — trickle flow |
| 0.75 | 4.0 | 0.067 | 0.24 | 1.06 | Acceptable — single tap |
| 1.0 | 5.4 | 0.090 | 0.32 | 1.42 | Good — domestic tap/shower |
| 1.5 | 8.1 | 0.134 | 0.48 | 2.13 | Recommended — domestic |
| 2.0 | 10.7 | 0.179 | 0.61 | 2.84 | Max recommended domestic |
| 2.5 | 13.4 | 0.223 | 0.80 | 3.55 | High — noise risk |
| 3.0 | 16.1 | 0.268 | 0.97 | 4.25 | Too fast — water hammer |
22mm copper tube is used for cold and hot water distribution circuits in UK homes — typically the rising main feed and shower supplies.
| Velocity (m/s) | L/min | L/s | m³/hr | GPM | Suitability |
|---|---|---|---|---|---|
| 0.5 | 9.4 | 0.157 | 0.57 | 2.50 | Low |
| 0.75 | 14.1 | 0.236 | 0.85 | 3.75 | Acceptable |
| 1.0 | 18.8 | 0.314 | 1.13 | 4.97 | Good — domestic main |
| 1.5 | 28.3 | 0.471 | 1.70 | 7.46 | Recommended — domestic |
| 2.0 | 37.7 | 0.628 | 2.26 | 9.95 | Max recommended domestic |
| 2.5 | 47.1 | 0.785 | 2.83 | 12.44 | High — noise risk |
| 3.0 | 56.5 | 0.942 | 3.39 | 14.93 | Exceeds domestic limit |
28mm tube is used for larger domestic supplies, boiler primary circuits, and commercial light-duty applications.
| Velocity (m/s) | L/min | L/s | m³/hr | GPM | Suitability |
|---|---|---|---|---|---|
| 0.5 | 15.9 | 0.265 | 0.95 | 4.20 | Low |
| 0.75 | 23.9 | 0.398 | 1.43 | 6.30 | Acceptable |
| 1.0 | 31.8 | 0.530 | 1.91 | 8.40 | Good |
| 1.5 | 47.7 | 0.795 | 2.86 | 12.60 | Recommended |
| 2.0 | 63.6 | 1.060 | 3.82 | 16.80 | Max recommended |
| 2.5 | 79.5 | 1.325 | 4.77 | 21.00 | High velocity |
| 3.0 | 95.4 | 1.590 | 5.72 | 25.20 | Exceeds safe limit |
35mm copper tube is used for commercial hot water services, larger heating circuits, and light industrial applications.
| Velocity (m/s) | L/min | L/s | m³/hr | GPM | Suitability |
|---|---|---|---|---|---|
| 0.5 | 25.5 | 0.425 | 1.53 | 6.74 | Low |
| 0.75 | 38.3 | 0.638 | 2.30 | 10.11 | Acceptable |
| 1.0 | 51.0 | 0.850 | 3.06 | 13.48 | Good |
| 1.5 | 76.6 | 1.276 | 4.60 | 20.23 | Recommended |
| 2.0 | 102.1 | 1.701 | 6.13 | 26.97 | Commercial max |
| 2.5 | 127.6 | 2.126 | 7.66 | 33.71 | Monitor noise |
| 3.0 | 153.1 | 2.552 | 9.19 | 40.45 | Exceeds typical limit |
42mm copper tube is found in commercial buildings, larger HVAC systems, and multi-unit residential complexes.
| Velocity (m/s) | L/min | L/s | m³/hr | GPM | Suitability |
|---|---|---|---|---|---|
| 0.5 | 37.7 | 0.628 | 2.26 | 9.95 | Low |
| 0.75 | 56.5 | 0.942 | 3.39 | 14.93 | Acceptable |
| 1.0 | 75.4 | 1.257 | 4.52 | 19.91 | Good |
| 1.5 | 113.1 | 1.885 | 6.79 | 29.86 | Recommended |
| 2.0 | 150.8 | 2.513 | 9.05 | 39.81 | Commercial max |
| 2.5 | 188.5 | 3.142 | 11.31 | 49.77 | High velocity |
| 3.0 | 226.2 | 3.770 | 13.57 | 59.72 | Industrial only |
1-inch pipe is widely used in US and international plumbing, irrigation systems, and commercial water distribution.
| Velocity (m/s) | L/min | L/s | m³/hr | GPM | Suitability |
|---|---|---|---|---|---|
| 0.5 | 16.6 | 0.277 | 1.00 | 4.38 | Low |
| 0.75 | 24.9 | 0.415 | 1.50 | 6.57 | Acceptable |
| 1.0 | 33.2 | 0.553 | 2.00 | 8.76 | Good |
| 1.5 | 49.8 | 0.830 | 2.99 | 13.15 | Recommended |
| 2.0 | 66.3 | 1.106 | 3.99 | 17.53 | Max domestic/irrigation |
| 2.5 | 82.9 | 1.382 | 4.97 | 21.91 | High |
| 3.0 | 99.5 | 1.659 | 5.97 | 26.29 | Check system |
2-inch pipe is used for commercial water mains, fire suppression systems, irrigation mains, and industrial process lines.
| Velocity (m/s) | L/min | L/s | m³/hr | GPM | Suitability |
|---|---|---|---|---|---|
| 0.5 | 64.8 | 1.080 | 3.89 | 17.12 | Low |
| 0.75 | 97.2 | 1.620 | 5.83 | 25.68 | Acceptable |
| 1.0 | 129.6 | 2.160 | 7.78 | 34.24 | Good |
| 1.5 | 194.4 | 3.240 | 11.66 | 51.36 | Recommended |
| 2.0 | 259.2 | 4.320 | 15.55 | 68.48 | Commercial max |
| 2.5 | 324.0 | 5.400 | 19.44 | 85.60 | High — check pressure |
| 3.0 | 388.8 | 6.480 | 23.33 | 102.72 | Industrial |
3-inch pipe handles significant commercial and light industrial flows — sprinkler mains, cooling water circuits, and medium-scale process systems.
| Velocity (m/s) | L/min | L/s | m³/hr | GPM | Max flow use |
|---|---|---|---|---|---|
| 0.5 | 142.7 | 2.378 | 8.56 | 37.67 | Low load |
| 0.75 | 214.1 | 3.568 | 12.84 | 56.51 | Light commercial |
| 1.0 | 285.4 | 4.757 | 17.14 | 75.34 | Commercial standard |
| 1.5 | 428.2 | 7.136 | 25.69 | 113.10 | Recommended max |
| 2.0 | 570.9 | 9.515 | 34.26 | 150.79 | High — analyse losses |
| 3.0 | 856.3 | 14.272 | 51.38 | 226.13 | Industrial only |
4-inch pipe is a workhorse for municipal water distribution, large fire systems, and industrial cooling loops.
| Velocity (m/s) | L/min | L/s | m³/hr | GPM | Application |
|---|---|---|---|---|---|
| 0.5 | 244.2 | 4.070 | 14.65 | 64.50 | Low demand |
| 0.75 | 366.3 | 6.105 | 21.98 | 96.75 | Light commercial |
| 1.0 | 488.4 | 8.140 | 29.30 | 129.00 | Standard |
| 1.5 | 732.6 | 12.210 | 43.96 | 193.51 | Recommended max |
| 2.0 | 976.8 | 16.280 | 58.61 | 258.01 | High — review losses |
| 3.0 | 1465.2 | 24.420 | 87.91 | 387.01 | Industrial |
6-inch pipe is used in municipal water mains, large industrial systems, fire hydrant supplies, and major process lines.
| Velocity (m/s) | L/min | L/s | m³/hr | GPM | Application |
|---|---|---|---|---|---|
| 0.5 | 558.7 | 9.312 | 33.52 | 147.57 | Low demand |
| 0.75 | 838.1 | 13.968 | 50.29 | 221.35 | Light industrial |
| 1.0 | 1117.4 | 18.624 | 67.05 | 295.14 | Standard industrial |
| 1.5 | 1676.1 | 27.935 | 100.57 | 442.70 | Recommended max |
| 2.0 | 2234.8 | 37.247 | 134.09 | 590.27 | High load |
| 3.0 | 3352.3 | 55.871 | 201.14 | 885.41 | Max industrial |
Pressure and flow rate are closely related, but they measure different things. Pressure is the force pushing water through the system (measured in bar or psi). Flow rate is the volume of water that actually arrives at a tap or outlet (measured in L/min or GPM).
You can have high pressure with low flow rate — a common problem in older homes with corroded pipes. A thin, restricted pipe throttles the flow even when the mains pressure is high. Conversely, a short wide pipe at moderate pressure can deliver excellent flow.
For an open orifice or ideal nozzle, flow rate increases with the square root of pressure:
| Mains pressure (bar) | Estimated flow rate (L/min) | Estimated flow rate (GPM) | Typical result at tap |
|---|---|---|---|
| 0.5 bar | ~8–12 | ~2.1–3.2 | Weak — barely adequate |
| 1 bar | ~15–20 | ~3.9–5.3 | Acceptable for basic use |
| 2 bar | ~22–30 | ~5.8–7.9 | Good domestic supply |
| 3 bar | ~28–38 | ~7.4–10.0 | Excellent domestic supply |
| 5 bar | ~36–48 | ~9.5–12.7 | High pressure — check pipe ratings |
| 7 bar | ~43–58 | ~11.4–15.3 | Commercial — requires PRV |
Ranges above reflect the Q ∝ √P relationship with Cd ≈ 0.61–0.82 for typical pipe entry conditions. Real flow will be lower in long pipe runs due to friction losses. Use a pressure drop calculator for full system analysis.
In a typical UK home, the mains cold water supply arrives at between 1.5 and 3 bar pressure, delivering a flow rate of around 15–25 litres per minute through the incoming 15mm or 22mm supply pipe. What comes out at individual outlets depends on pipe routing, pressure losses, and simultaneous demand.
| Outlet / appliance | Typical flow rate (L/min) | GPM | Notes |
|---|---|---|---|
| Kitchen tap (running) | 6–12 | 1.6–3.2 | Varies with pressure |
| Bathroom tap | 4–8 | 1.1–2.1 | Typically lower pressure |
| Low-flow tap (eco) | 2–4 | 0.5–1.1 | Aerator fitted |
| Power shower | 10–18 | 2.6–4.8 | Pump-boosted |
| Electric shower | 4–8 | 1.1–2.1 | Flow limited by heater capacity |
| Mixer shower (gravity) | 5–10 | 1.3–2.6 | Gravity-fed cold water tank |
| Mixer shower (mains) | 8–16 | 2.1–4.2 | Combi boiler system |
| Washing machine | 8–15 | 2.1–4.0 | Peak fill rate |
| Dishwasher | 6–12 | 1.6–3.2 | Peak fill rate |
| Outside hose (15mm) | 12–25 | 3.2–6.6 | Depends on supply pressure |
| Mains incoming supply | 15–30 | 4.0–7.9 | Typical UK household |
In the UK, Water Regulations Advisory Scheme (WRAS) and Building Regulations suggest a minimum mains flow rate of 15 litres per minute for a single-family dwelling. For a household with two or more bathrooms, you'd want at least 20–25 L/min to avoid significant pressure drops when multiple outlets run simultaneously.
A good practical test: fill a 10-litre bucket from a cold tap. If it fills in under a minute, your supply is above 10 L/min. If it fills in 30 seconds or less, you have good flow above 20 L/min.
You don't need specialist equipment. Use the bucket-and-stopwatch method:
Velocity is the speed at which water moves through a pipe, measured in metres per second (m/s). It determines not just flow rate, but also noise levels, erosion, and system efficiency. Getting pipe velocity right is as important as getting flow rate right.
| Application | Recommended velocity | Max velocity | Risk if exceeded |
|---|---|---|---|
| Domestic cold water | 0.75–1.5 m/s | 2.0 m/s | Noise, water hammer |
| Domestic hot water | 0.75–1.5 m/s | 1.5 m/s | Noise, erosion, scale |
| Heating flow & return | 0.5–1.0 m/s | 1.5 m/s | Noise, erosion |
| Chilled water circuit | 0.5–1.5 m/s | 2.5 m/s | Erosion, cavitation |
| Commercial cold water | 1.0–2.0 m/s | 3.0 m/s | Noise, erosion, fitting damage |
| Industrial process water | 1.5–3.0 m/s | 5.0 m/s | Cavitation, erosion, pressure loss |
| Fire suppression main | 3.0–6.0 m/s | 7.5 m/s | Structural stress on fittings |
Rearranging Q = V × A, you can solve for velocity:
30 L/min ÷ 60,000 = 5.0 × 10⁻⁴ m³/sA = π × (0.010)² = 3.142 × 10⁻⁴ m²V = 5.0 × 10⁻⁴ ÷ 3.142 × 10⁻⁴ = 1.59 m/sBecause pipe area grows with the square of the diameter, a relatively small increase in pipe size dramatically increases flow capacity at the same velocity. Upgrading from 15mm to 22mm copper (effective diameter increase ~48%) more than doubles the pipe cross-section and therefore roughly doubles the flow rate at the same velocity.
Use the tables below to convert between common flow rate units. All values are exact mathematical conversions.
| L/min | L/s | m³/hr | m³/s | GPM (US) | GPH (US) |
|---|---|---|---|---|---|
| 1 | 0.01667 | 0.06 | 1.667×10⁻⁵ | 0.2642 | 15.85 |
| 5 | 0.0833 | 0.3 | 8.33×10⁻⁵ | 1.321 | 79.25 |
| 10 | 0.1667 | 0.6 | 1.667×10⁻⁴ | 2.642 | 158.5 |
| 15 | 0.25 | 0.9 | 2.5×10⁻⁴ | 3.963 | 237.8 |
| 20 | 0.3333 | 1.2 | 3.33×10⁻⁴ | 5.283 | 317.0 |
| 30 | 0.5 | 1.8 | 5.0×10⁻⁴ | 7.925 | 475.5 |
| 50 | 0.8333 | 3.0 | 8.33×10⁻⁴ | 13.21 | 792.5 |
| 100 | 1.6667 | 6.0 | 1.667×10⁻³ | 26.42 | 1585 |
| 500 | 8.333 | 30.0 | 8.33×10⁻³ | 132.1 | 7925 |
| 1000 | 16.667 | 60.0 | 1.667×10⁻² | 264.2 | 15850 |
| GPM | L/min | L/s | m³/hr | m³/s |
|---|---|---|---|---|
| 1 | 3.785 | 0.0631 | 0.2271 | 6.31×10⁻⁵ |
| 5 | 18.93 | 0.3155 | 1.136 | 3.16×10⁻⁴ |
| 10 | 37.85 | 0.631 | 2.271 | 6.31×10⁻⁴ |
| 20 | 75.70 | 1.262 | 4.542 | 1.26×10⁻³ |
| 40 | 151.4 | 2.524 | 9.085 | 2.52×10⁻³ |
| 65 | 246.0 | 4.101 | 14.76 | 4.10×10⁻³ |
| 120 | 454.2 | 7.570 | 27.24 | 7.57×10⁻³ |
| 200 | 757.1 | 12.62 | 45.42 | 1.262×10⁻² |
| 1000 | 3785 | 63.09 | 227.1 | 6.31×10⁻² |
| m³/hr | L/min | L/s | GPM | m³/s |
|---|---|---|---|---|
| 0.5 | 8.33 | 0.139 | 2.20 | 1.39×10⁻⁴ |
| 1 | 16.67 | 0.278 | 4.40 | 2.78×10⁻⁴ |
| 2 | 33.33 | 0.556 | 8.81 | 5.56×10⁻⁴ |
| 5 | 83.33 | 1.389 | 22.03 | 1.39×10⁻³ |
| 10 | 166.7 | 2.778 | 44.03 | 2.78×10⁻³ |
| 50 | 833.3 | 13.89 | 220.1 | 1.39×10⁻² |
| 100 | 1666.7 | 27.78 | 440.3 | 2.78×10⁻² |
| L/s | m³/hr | L/min | GPM |
|---|---|---|---|
| 0.1 | 0.36 | 6.0 | 1.59 |
| 0.5 | 1.80 | 30.0 | 7.93 |
| 1.0 | 3.60 | 60.0 | 15.85 |
| 2.0 | 7.20 | 120.0 | 31.70 |
| 5.0 | 18.0 | 300.0 | 79.25 |
| 10.0 | 36.0 | 600.0 | 158.5 |
To calculate how long it takes to fill a tank, divide the tank volume by the fill flow rate:
| Tank size | @ 10 L/min | @ 15 L/min | @ 20 L/min | @ 30 L/min | @ 50 L/min |
|---|---|---|---|---|---|
| 100 litres | 10 min | 6.7 min | 5 min | 3.3 min | 2 min |
| 250 litres | 25 min | 16.7 min | 12.5 min | 8.3 min | 5 min |
| 500 litres | 50 min | 33 min | 25 min | 16.7 min | 10 min |
| 1,000 litres | 100 min (1h 40m) | 67 min (1h 7m) | 50 min | 33 min | 20 min |
| 2,500 litres | 250 min (4h 10m) | 167 min (2h 47m) | 125 min (2h 5m) | 83 min (1h 23m) | 50 min |
| 5,000 litres | 500 min (8h 20m) | 333 min (5h 33m) | 250 min (4h 10m) | 167 min (2h 47m) | 100 min (1h 40m) |
A 1000 litre loft storage tank is fed by a 22mm supply pipe at 1.0 m/s. Flow rate = Q = V × A = 1.0 × π × (0.010)² = ~18.8 L/min.
1000 ÷ 18.8 = 53.2 minutesIn practice, ball valve flow restriction and float valve control will reduce effective fill rate, so allow 60–90 minutes as a real-world estimate.
Inlet pipe is 15mm (internal ~13.5mm) and supply pressure is 3 bar. Using the pressure flow estimate: at 3 bar through a 15mm orifice with Cd = 0.61, estimated flow ≈ 20–24 L/min.
500 ÷ 22 = 22.7 minutes ≈ 23 minutesIn industrial and commercial hydraulic systems, flow rate calculations become more complex. You need to account for the full Darcy-Weisbach equation, pipe roughness (friction factor), Reynolds number, turbulent vs laminar flow, pump characteristics, and system resistance curves.
Flow regime is characterised by the Reynolds number (Re):
Most domestic and commercial water systems operate in the turbulent regime (Re > 4000), which means friction losses scale with velocity squared. In laminar flow systems (very viscous fluids or very low velocities), friction scales linearly with velocity.
For engineering systems where fluid temperature changes significantly (boilers, heat exchangers, steam systems), you work with mass flow rate:
| Application | Typical flow rate | Common pipe size |
|---|---|---|
| Cooling tower circuit (small) | 50–200 m³/hr | 100–150mm (4–6 inch) |
| Central chilled water plant | 200–2000 m³/hr | 200–400mm |
| Building HVAC primary loop | 10–100 m³/hr | 50–150mm |
| Municipal water main | 500–5000 m³/hr | 200–600mm |
| Boiler feed water | 1–50 m³/hr | 25–100mm |
| Fire sprinkler system (large) | 10–60 m³/hr | 50–150mm |
| Irrigation main | 20–200 m³/hr | 75–200mm |
Air flow rate uses the same Q = V × A formula as water, but units differ. In HVAC and ventilation, the common unit is cubic feet per minute (CFM) in imperial systems or m³/s or m³/hr in metric.
| CFM | m³/s | m³/hr | L/s |
|---|---|---|---|
| 1 | 0.000472 | 1.699 | 0.472 |
| 10 | 0.00472 | 16.99 | 4.72 |
| 100 | 0.0472 | 169.9 | 47.2 |
| 1000 | 0.472 | 1699 | 472 |
| 10000 | 4.72 | 16990 | 4720 |
Air velocity in ducts is typically 2–6 m/s for HVAC systems. Noise becomes noticeable above 5 m/s in occupied spaces. Air density (≈ 1.2 kg/m³ at 20°C) is roughly 830 times less than water, so much larger duct areas are needed for equivalent mass flow.
For a complete hydraulic design, you may also need these specialist calculators: