Water Flow Calculator

Calculate pipe flow rate from diameter and velocity (Q = v × A), solve velocity from a known flow rate, and determine the Reynolds number to check if flow is laminar or turbulent. Results in L/s, L/min, m³/h and US GPM.

Formulas

Volumetric Flow Rate (continuity equation)

Q = v × A = v × (π × d²) / 4

Q = flow rate (m³/s), v = average velocity (m/s), A = pipe cross-section area, d = inner diameter (m).

Flow Velocity

v = Q / A = 4Q / (π × d²)

Reynolds Number

Re = (ρ × v × d) / μ = v × d / ν

ρ = density (998.2 kg/m³ at 20 °C), μ = dynamic viscosity (1.002 mPa·s at 20 °C), ν = kinematic viscosity. Laminar flow: Re < 2,300. Transitional: 2,300–4,000. Turbulent: Re > 4,000.

Conversions Used

FAQ

How do I calculate water flow rate in a pipe?
Multiply the average flow velocity by the pipe's cross-sectional area: Q = v × A, where A = π d² / 4 using the inner diameter. Example: water moving at 1.5 m/s in a 50 mm pipe gives Q = 1.5 × (π × 0.05² / 4) = 2.95 L/s ≈ 46.7 GPM. Always use the inner diameter, not the nominal size (DN) or outer diameter.
What is a good velocity for water in pipes?
Typical design ranges: 0.5–1.0 m/s for domestic service lines, 1.0–2.0 m/s for pumped supply mains, 1.5–2.5 m/s in pump suction is avoided (risk of cavitation — keep below ~1.5 m/s), and up to 3 m/s in industrial lines where noise and erosion are acceptable. Higher velocity means higher friction losses (which grow roughly with v²), lower velocity means larger, more expensive pipe.
How do I convert L/s to GPM?
1 L/s = 15.8503 US gallons per minute. So multiply L/s by 15.85 to get US GPM (or divide GPM by 15.85 to get L/s). For imperial gallons, 1 L/s = 13.198 Imp GPM. This calculator converts automatically in the results.
What Reynolds number is turbulent?
For flow in a smooth circular pipe: Re below about 2,300 is laminar, between 2,300 and 4,000 is transitional (unstable), and above 4,000 it is fully turbulent. Water flows are turbulent in almost all practical piping — even 1 m/s in a 20 mm pipe at 20 °C gives Re ≈ 20,000. Laminar water flow occurs mainly in very small bore (capillary) tubes or highly viscous fluids.
Does pipe size affect flow rate if velocity is the same?
Yes — dramatically. Flow rate grows with the square of diameter: doubling the inner diameter quadruples the area and the flow at the same velocity. A 50 mm pipe carries 4× the water of a 25 mm pipe at 1 m/s (2.95 vs 0.74 L/s).
Does water temperature change the flow rate?
For a fixed velocity and pipe size, the volumetric flow Q = v × A barely changes with temperature (density changes less than 3% between 5 °C and 100 °C). Temperature mainly matters through viscosity: hot water is much less viscous (0.28 mPa·s at 100 °C vs 1.5 at 5 °C), which lowers pressure drop and raises the Reynolds number. Use the Reynolds tab to see the effect.

How to Use the Water Flow Calculator

  1. Flow Rate tab: enter the pipe's inner diameter and the water velocity — get Q instantly in L/s, L/min, m³/h, m³/day, US GPM and ft³/min.
  2. Velocity tab: know the flow rate instead? Enter diameter + flow rate to get the average velocity — useful for checking recommended velocity limits.
  3. Reynolds tab: add water temperature to determine the flow regime (laminar, transitional, turbulent), which tells you which pressure-drop formulas apply.
  4. Quick sizes: tap a common diameter pill instead of typing. Copy link saves your inputs in the URL for sharing or bookmarking.

Understanding Pipe Flow: Q, v and the Reynolds Number

For an incompressible fluid like water flowing in a full pipe, the volumetric flow rate is simply the product of average velocity and cross-sectional area: Q = v·A. This continuity relation is the foundation of pipe sizing: pick a design velocity, and the required diameter follows from the demand flow (or vice versa). Because area scales with d², small diameter changes have big effects — going from 25 mm to 32 mm raises capacity by 64% at the same velocity. Always size with the inner diameter: for plastics the DN roughly equals the ID, but for steel pipes the wall schedule shifts the bore (a 1" Sch 40 steel pipe has a 26.6 mm bore, not 25.4 mm).

Whether the flow is smooth or chaotic decides everything about friction losses. The dimensionless Reynolds number Re = ρvd/μ compares inertial to viscous forces. Below ~2,300 flow is laminar — orderly layers with friction governed by viscosity alone (Hagen–Poiseuille). Above ~4,000 it is turbulent — mixing eddies dominate and pressure drop grows nearly with v² (Darcy–Weisbach). Water's low viscosity means real installations are almost always turbulent; a garden hose at 1 m/s already runs Re ≈ 20,000. Temperature enters through water properties: density changes little (999.97 kg/m³ at 5 °C → 958.35 kg/m³ at 100 °C), but dynamic viscosity falls more than fivefold, from 1.52 to 0.28 mPa·s — which is why hot-water circuits exhibit noticeably lower pressure drops.

This calculator evaluates formulas directly in your browser — nothing is sent to a server. It assumes a full, circular pipe with a uniform velocity profile (bulk average). For open channels, partially filled pipes, or compressible gases, different tools and corrections apply.

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