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
Fluid density = 1000 kg/m³
Kinematic Viscosity (nu, cSt) | Fluid Density (rho, kg/m³) | Dynamic Viscosity (mu, cP) |
---|---|---|
1.0 | 1000 | 1.0 |
2.0 | 1000 | 2.0 |
5.0 | 1000 | 5.0 |
10.0 | 1000 | 10.0 |
20.0 | 1000 | 20.0 |
50.0 | 1000 | 50.0 |
100.0 | 1000 | 100.0 |
200.0 | 1000 | 200.0 |
500.0 | 1000 | 500.0 |
1000.0 | 1000 | 1000.0 |
Fluid density = 850 kg/m³ (e.g., light oil)
Kinematic Viscosity (nu, cSt) | Fluid Density (rho, kg/m³) | Dynamic Viscosity (mu, cP) |
---|---|---|
1.0 | 850 | 0.85 |
2.0 | 850 | 1.7 |
5.0 | 850 | 4.25 |
10.0 | 850 | 8.5 |
20.0 | 850 | 17.0 |
50.0 | 850 | 42.5 |
100.0 | 850 | 85.0 |
200.0 | 850 | 170.0 |
500.0 | 850 | 425.0 |
1000.0 | 850 | 850.0 |
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.