Water Viscosity Calculator
Fast, accurate, and free online Water Viscosity Calculator tool that runs directly in your browser.
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Water Viscosity Calculator
Calculate the dynamic and kinematic viscosity of water depending on temperature.
Andrade's formula for viscosity is an approximation. For laboratory purposes, check the normative tables.
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This tool calculates thedynamic i kinematic viscosityof water as a function of temperature. It uses the Andrade equation and automatically determines the density of water (ρ) or allows the user to enter it manually. The results are presented in units ofPa s, mPa s, cP, m²/s i cSt.
Calculator input data
- Temperature T[°C] – range 0–100°C
- Density mode (rho_mode) – automatic or manual
- Density ρ (optional)– if the "manual" mode
is selected. For theautomode, the calculator calculates the density itself based on the empirical temperature equation, thanks to which it also calculates the kinematic viscosity.
Formulas used in the calculator
1. Andrade equation for dynamic viscosity μ
μ = A · 10^(B / (T + 273.15 − C))
Parameters for water:
A = 2.414×10⁻⁵ Pa·s
B = 247.8 K
C = 140.0 K
2. Water density approximation (auto mode)
ρ(T) ≈ 999.84 + 6.79×10⁻²·T − 9.09×10⁻³·T² + 1.0×10⁻⁵·T³
Function adapted to data for 0–100°C.
3. Kinematic viscosity ν
ν = μ / ρ
The result in m²/s is converted to centistokes (cSt).
Result units
| Quantity | SI unit | Auxiliary units |
|---|---|---|
| Dynamic viscosity μ | Pa s | mPa s, cP |
| Kinematic viscosity ν | m²/s | cSt |
| Density ρ | kg/m³ | - |
Calculation examples
Example 1 – 20°C, automatic mode
- T = 20°C
- ρ_mode = auto
μ = 1.002×10⁻³ Pa·s, ν = 1.003×10⁻⁶ m²/s (1.003 cSt). The result is consistent with the physical tables.
Example 2 – 60°C, manual density
- T = 60°C
- ρ_mode = manual
- ρ_manual = 983 kg/m³
μ = 4.66×10⁻⁴ Pa·s, ν = 4.74×10⁻⁷ m²/s (0.474 cSt). An increase in temperature reduces the viscosity of the liquid.
Water viscosity comparison
| Temperature [°C] | μ [mPa s] | ν [cSt] |
|---|---|---|
| 0 | 1.79 | 1.79 |
| 10 | 1.31 | 1.31 |
| 20 | 1.00 | 1.00 |
| 40 | 0.65 | 0.66 |
| 60 | 0.47 | 0.48 |
| 80 | 0.36 | 0.37 |
| 100 | 0.28 | 0.29 |
Application
- Design of heat exchangers and pumps
- Flow analyzes (Reynolds, friction losses)
- Modeling of hydraulic systems
- Comparisons of technical fluids
FAQ
Why does viscosity decrease with temperature?
As the temperature increases, intermolecular forces decrease, which facilitates the flow of the liquid and reduces its viscosity.
What is the difference between dynamic and kinematic viscosity?
Dynamic viscosity describes the internal resistance of a liquid, while kinematic viscosity also takes into account density. ν = μ / ρ.
How precise is the calculator?
Results presented with an accuracy of 10⁻⁴ to 10⁻⁶ depending on the unit, sufficient for engineering applications.
Summary
The water viscosity calculator allows you to quickly and accurately calculate μ and ν values over a wide temperature range. The Andrade equation and an empirically fitted density function were used. The results can be directly used in Reynolds calculations, pressure losses and heat exchanger designs.