Kinematic Viscosity to Dynamic Viscosity Calculator

To use kinematic to dynamic viscosity calculator enter your kinematic viscosity in square meters per second (m²/s) and fluid density in kilograms per cubic meter (kg/m³) e.g. 1.0 × 10⁻⁶ for kinematic viscosity and 1000 for density of water.

The results shows both your input values and complete calculation dynamic viscosity in Pascal-seconds (Pa·s) with formula.

Kinematic to Dynamic Viscosity Calculator

Enter value in square meters per second
Enter fluid density in kg/m³

Fluid density = 1000 kg/m³

Kinematic Viscosity (nu, cSt)Fluid Density (rho, kg/m³)Dynamic Viscosity (mu, cP)
1.010001.0
2.010002.0
5.010005.0
10.0100010.0
20.0100020.0
50.0100050.0
100.01000100.0
200.01000200.0
500.01000500.0
1000.010001000.0

Fluid density = 850 kg/m³ (e.g., light oil)

Kinematic Viscosity (nu, cSt)Fluid Density (rho, kg/m³)Dynamic Viscosity (mu, cP)
1.08500.85
2.08501.7
5.08504.25
10.08508.5
20.085017.0
50.085042.5
100.085085.0
200.0850170.0
500.0850425.0
1000.0850850.0

Kinematic to Dynamic Viscosity Conversion Formula

μ = ν × ρ

Where:

  • ρ: Density (kg/m³)
  • ν (nu): Kinematic viscosity in m²/s
  • ρ (rho): Fluid density in kg/m³
  • μ (mu): Dynamic viscosity in Pa·s

For water at 20°C with ν = 1.0 × 10⁻⁶ m²/s and ρ = 1000 kg/m³: Dynamic viscosity μ = 1.0 × 10⁻⁶ × 1000 = 1.0 × 10⁻³ Pa·s.

How to Convert Kinematic to Dynamic Viscosity?

To convert kinematic to dynamic viscosity, multiply the kinematic viscosity by the fluid’s density. For oil with kinematic viscosity 1.5 × 10⁻⁵ m²/s and density 900 kg/m³, multiply 1.5 × 10⁻⁵ × 900 = 1.35 × 10⁻² Pa·s.

For glycerin with ν = 6.5 × 10⁻⁴ m²/s and ρ = 1260 kg/m³: μ = 0.819 Pa·s.

A engine oil with ν = 4.0 × 10⁻⁵ m²/s and ρ = 875 kg/m³: μ = 0.035 Pa·s.

For air with ν = 1.48 × 10⁻⁵ m²/s and ρ = 1.225 kg/m³: μ = 1.81 × 10⁻⁵ Pa·s.

What is Kinematic Viscosity and Dynamic Viscosity?

Kinematic Viscosity (ν): Kinematic viscosity is the measure of a fluid’s resistance to flow under the influence of gravity, independent of the fluid’s density. It’s expressed in square meters per second (m²/s). For example, water at 20°C has a kinematic viscosity of 1.0 × 10⁻⁶ m²/s.

Dynamic Viscosity (μ): Dynamic viscosity, also called absolute viscosity, measures a fluid’s resistance to flow under an applied force. It’s expressed in Pascal-seconds (Pa·s) or Poise. For example, water at 20°C has a dynamic viscosity of 1.0 × 10⁻³ Pa·s.

Similar Posts

Leave a Reply

Your email address will not be published. Required fields are marked *