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Reynolds Number & Flow Regime Calculator

Computes Reynolds number Re = (ρ·v·D) / μ, classifying fluid regimes for pipes and aerofoils.

Fluid Flow Regime Classifier

Reynolds Number & Regimes

Computes dimensionless inertial-to-viscous force ratio Re = ρ·v·D / μ and classifies laminar, transitional, or turbulent flows.

Fluid Preset:
Water ~ 998, Air ~ 1.2
4.9 ft/s
50 mm diameter
1 cP = 0.001 Pa·s
Reynolds Spectrum Gauge & Flow MicrostructureRe: 02,3004,000100k+Chaotic Turbulent Eddies & 3D Cross-Stream MixingLaminar (Re < 2,300)Transition (2.3k-4k)Turbulent (Re > 4,000)
Dimensionless Reynolds Number
Re = 74,716
Fully Turbulent Flow

Inertial forces overwhelm viscous forces. Flow is characterized by chaotic 3D vortices, high fluid mixing, and elevated wall friction.

Kinematic Viscosity (ν = μ/ρ)1.004 cSt1.0038e-6 m²/s
Smooth Pipe Friction Factorf ≈ 0.0191Blasius smooth pipe formula
Entry Length (L_entry)1.43 mDistance to fully developed flow
Step-by-Step Analytical Derivation

Reynolds Re = (ρ · v · D) / μ = (998.2 kg/m³ × 1.5 m/s × 0.05 m) / 0.001002 Pa·s = 74,716

Kinematic Viscosity ν = μ / ρ = 0.001002 / 998.2 = 1.0038e-6 m²/s (1.004 cSt)

What is the Reynolds Number?

The Reynolds number is a dimensionless quantity in fluid mechanics used to predict flow patterns in different fluid flow situations, measuring the ratio of inertial forces to viscous forces.

Formula & Step-by-Step Calculation

Re = (ρ · v · D) / μ = (v · D) / ν

Ratio of inertial forces to viscous viscous forces.

Worked Step-by-Step Examples

Example 1

Water (ρ=1000 kg/m³, μ=0.001 Pa·s) flows at 1.5 m/s in a 50mm pipe

Solution: Re = 75,000 (Fully Turbulent Flow)
• Re = (1000 × 1.5 × 0.05) / 0.001 = 75 / 0.001 = 75,000

Common Real-World & Academic Use Cases

  • ✓ Pipeline friction factor Moody chart lookup
  • ✓ Aerodynamic wing boundary layer transition modeling
  • ✓ Chemical reactor mixing and impeller turbulence

How to Use the Reynolds Number & Flow Regime Calculator

1

Enter Fluid Parameters

Input fluid density (kg/m³) and dynamic viscosity (Pa·s).

2

Enter Velocity & Diameter

Input fluid speed (m/s) and pipe diameter (m).

3

View Flow Regime

Check whether flow is Laminar (<2300), Transitional, or Turbulent (>4000).

Frequently Asked Questions

Q: What happens when flow transitions from laminar to turbulent?

Fluid mixing increases dramatically, momentum transfer rises, and friction head loss across the pipe wall increases significantly.

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