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Pipe Flow Rate, Velocity & Reynolds Number Calculator

Calculate fluid flow velocity (m/s), volumetric flow (L/min, m³/hr, GPM), and laminar/turbulent Reynolds regime.

Input Parameters

mm

e.g. 50 mm (approx 2" nominal bore pipe)

L/min
kg/m³

Water is 1000 kg/m³, Diesel is ~840 kg/m³, Hydraulic oil is ~870 kg/m³

cP

Water @ 20°C is 1.0 cP, ISO VG 46 hydraulic oil is ~40 cP

Calculation Results

Fluid Flow Velocity
1.27 m/s (4.18 ft/s)m/s
Volumetric Flow Rate
150 L/min (9 m³/hr / 39.6 GPM)
Reynolds Number (Re)
63,662
Hydraulic Flow Regime
Turbulent Flow (Re > 4,000)
Pipe Cross-Section Area
19.63 cm² (50 mm internal diameter)
Piping Velocity Assessment
Optimal for liquid piping (1.0 - 2.5 m/s)
Summary: Pumping 150 L/min through a 50 mm ID pipe produces a fluid velocity of 1.27 m/s. With a Reynolds number of 63,662, the flow is in the Turbulent Flow (Re > 4,000) regime (Optimal for liquid piping (1.0 - 2.5 m/s)).

Visual Growth Breakdown

Step-by-Step Calculation Solution
1.Cross-Sectional Area A = π × D² ÷ 4 = π × (0.05 m)² ÷ 4 = 0.001963 m²
2.Volumetric Flow Q = 150 L/min ÷ 60,000 = 0.0025 m³/s (2.5 L/s)
3.Flow Velocity v = Q ÷ A = 0.0025 m³/s ÷ 0.001963 m² = 1.273 m/s
4.Reynolds Number Re = (ρ × v × D) ÷ µ = (1000 × 1.273 × 0.05) ÷ 0.001 = 63,662

Formula & How Pipe Flow Rate, Velocity & Reynolds Number Calculator Works

Mathematical Formula
Velocity v = Q ÷ A | Area A = (π·D²) ÷ 4 | Reynolds Number Re = (ρ·v·D) ÷ µ

Fluid flow velocity through a pressurized conduit is determined by the continuity equation ($Q = A \cdot v$). The dimensionless Reynolds Number characterizes whether flow is smooth laminar ($Re < 2300$) or chaotic turbulent ($Re > 4000$). For standard water piping, recommended velocities are 1.0 to 2.5 m/s to prevent sediment deposition and excessive pressure drop.

How to Calculate Pipe Flow Rate, Velocity & Reynolds Number Calculator (Step-by-Step)
  1. Enter Pipe Internal Diameter (mm) (mm): Input your target parameter value.
  2. Enter Volumetric Flow Rate (L/min) (L/min): Input your target parameter value.
  3. Enter Fluid Density (kg/m³) (kg/m³): Input your target parameter value.
  4. Enter Dynamic Viscosity (cP / mPa·s) (cP): Input your target parameter value.
  5. Apply Formula: Calculate using Velocity v = Q ÷ A | Area A = (π·D²) ÷ 4 | Reynolds Number Re = (ρ·v·D) ÷ µ.
  6. Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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Frequently Asked Questions (FAQs)

What is the recommended water velocity in copper and PVC pipes?

Standard plumbing design guidelines recommend keeping water velocity between 1.0 m/s and 2.4 m/s in mains piping to avoid erosion-corrosion and water hammer shock waves.

Official Regulatory & Government Data Sources

Authoritative Standards & Verified Reference Citations

Independent & Verified

Calculations and mathematical logic on this page are grounded in published statutory rules, regulatory standards, and official government data published by the following bodies:

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