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Reynolds Number & Flow Regime Calculator

Calculate Reynolds number (Re) and identify laminar, transitional, or turbulent flow

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)

About Reynolds Number & Flow Regime Calculator

Determine fluid boundary layer flow regimes in internal pipes and channels. Computes the dimensionless Reynolds number (Re = v · D / ν) to classify flow as Laminar (Re < 2,300), Critical Transitional (2,300 ≤ Re ≤ 4,000), or Fully Turbulent (Re > 4,000).

Key Capabilities & Features

  • Calculates dimensionless Reynolds number: Re = v · D / ν
  • Automatic regime classification: Laminar (<2,300), Transitional (2,300-4,000), or Turbulent (>4,000)
  • Built-in kinematic viscosity presets for Water (20°C), Air (20°C), and Lubricating Oil
  • Detailed physical behavior descriptions for each hydraulic regime
  • Interactive sliders for fluid velocity and pipe internal hydraulic diameter

How to Use Reynolds Number & Flow Regime Calculator

1

Select Fluid Preset

Choose Water, Air, or Engine Oil to populate kinematic viscosity.

2

Set Velocity & Diameter

Adjust fluid flow velocity (m/s) and pipe hydraulic diameter (m).

3

Inspect Flow Regime

View the calculated Reynolds number and whether the fluid flow is laminar or turbulent.

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Frequently Asked Questions

What does the Reynolds number represent physically?

The Reynolds number is the ratio of inertial forces to viscous forces within a moving fluid: Re = (ρ · v · D) / μ. At high Re, turbulent eddies form; at low Re, viscous damping keeps streamlines smooth.

What is the critical Reynolds number for internal pipe flow?

For circular pipe flow, the critical Reynolds number is approximately 2,300. Below 2,300, flow is strictly laminar; between 2,300 and 4,000, flow is transitional; above 4,000, flow is fully turbulent.