Moody Chart Calculator

Kinematic Viscosity Calculator

The Reynolds Number Calculator requires kinematic viscosity (ν) as an input - but many fluid data tables list dynamic viscosity (μ) and density (ρ) separately. This calculator converts them instantly: ν = μ/ρ. Results in m²/s and centistokes (cSt).

Calculate Kinematic Viscosity (ν = μ/ρ)

Water at 20°C ≈ 0.001002 Pa·s · Air ≈ 0.0000181 Pa·s
Pa·s
Water ≈ 1000 kg/m³ · Air ≈ 1.204 kg/m³ · Oil ≈ 850 kg/m³
kg/m³
Click to auto-fill μ and ρ

Results

Kinematic Viscosity (ν): -
Kinematic Viscosity (cSt): -
Relative to water at 20°C: -

Dynamic vs Kinematic Viscosity - What's the Difference?

Both describe how "thick" or "syrupy" a fluid is - but they measure slightly different things.

Dynamic viscosity (μ) - sometimes called absolute viscosity - is the fluid's resistance to shear stress. Think of it as the force needed to slide one layer of fluid past another. Units: Pa·s (Pascal-seconds), or the older unit mPa·s (millipascal-seconds), where 1 mPa·s = 1 cP (centipoise).

Kinematic viscosity (ν) is dynamic viscosity divided by density. It accounts for the fact that denser fluids have more inertia - and inertia affects how easily flow becomes turbulent. It's what appears in the Reynolds number formula Re = VD/ν. Units: m²/s, or the convenient unit cSt (centistoke), where 1 cSt = 10⁻⁶ m²/s.

The Formula

ν = μ / ρ
  • ν - kinematic viscosity (m²/s)
  • μ - dynamic viscosity (Pa·s)
  • ρ - fluid density (kg/m³)

Reference Values for Common Fluids

Fluidμ (Pa·s)ρ (kg/m³)ν (m²/s)
Water (20°C)0.0010029981.004 × 10⁻⁶
Water (60°C)0.0004679830.475 × 10⁻⁶
Air (20°C)1.81 × 10⁻⁵1.2041.51 × 10⁻⁵
SAE 30 Motor Oil (40°C)0.0918751.04 × 10⁻⁴
Glycerin (25°C)0.93412617.41 × 10⁻⁴

Frequently Asked Questions

How does temperature affect kinematic viscosity?

For liquids, kinematic viscosity decreases with temperature - hot water is less viscous than cold water. For gases, the opposite is true: kinematic viscosity increases with temperature because gas density decreases faster than dynamic viscosity increases. This matters when designing systems that operate across a temperature range.

Why does the Reynolds number use kinematic rather than dynamic viscosity?

The Reynolds number Re = VD/ν already "bakes in" density. If you use dynamic viscosity instead, you need to include density explicitly: Re = ρVD/μ. Both formulas give the same result - kinematic viscosity just makes the formula more compact. Use whichever form matches your data.

What is 1 centistoke in m²/s?

1 cSt = 1 mm²/s = 1 × 10⁻⁶ m²/s. Water at 20°C ≈ 1 cSt. This is why cSt is a convenient unit - it gives clean numbers for everyday fluids.

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