Compute the dynamic viscosity (μ) and kinematic viscosity (ν) of pure water from 0–100 °C using an empirical correlation verified against IAPWS/NIST reference data. Includes an inverse solver (find temperature from a viscosity value), a unit converter Pa·s ↔ mPa·s ↔ cP ↔ P, and a μ vs temperature table every 5 °C. All calculations run 100% in your browser — no server, no data leaves.
| Unit | Value |
|---|---|
| Pa·s | |
| mPa·s | |
| cP (centipoise) | |
| P (poise) |
Water density at this temperature: kg/m³ → ν = cSt.
| Unit | Value |
|---|---|
| m²/s | |
| mm²/s | |
| cSt (centistokes) | |
| St (stokes) |
Computed from μ = mPa·s and ρ = kg/m³.
Solved numerically (bisection) because μ(T) decreases monotonically over 0–100 °C. Only valid when μ lies within the μ(0 °C)–μ(100 °C) range.
| T (°C) | T (K) | μ (mPa·s) | μ (cP) | ν (cSt) | ρ (kg/m³) |
|---|
Vogel correlation for water: μ = 2.414×10⁻⁵ · 10247.8/(T−140) Pa·s, with T in Kelvin.
Verified example: 20 °C → μ = 1.0017 mPa·s; 100 °C → μ = 0.2790 mPa·s; 0 °C → μ = 1.7531 mPa·s.
This tool computes the viscosity of water as a function of temperature. Not an air viscosity calculator, not just a unit converter:
1.0017 mPa·s (equal to 1.0017 cP). Computed from μ = 2.414×10⁻⁵ · 10^(247.8/(T−140)) with T = 293.15 K.
0.2790 mPa·s — boiling water is almost 3.6× thinner than 0 °C water (1.7531 mPa·s).
Empirical Vogel correlation: μ = 2.414×10⁻⁵ × 10^(247.8/(T−140)) Pa·s, with T in Kelvin. Constants A=2.414×10⁻⁵, B=247.8, C=140.
Valid range 0–100 °C. Maximum deviation ±2.2% vs IAPWS/NIST reference data (occurs at 0 °C); ≤1.2% at 5–100 °C. Density uses a degree-6 polynomial fitted to the IAPWS-IF97 saturation table (deviation ≤0.003%).
ν = μ/ρ. Example at 20 °C: μ = 1.0017 mPa·s and ρ = 998.21 kg/m³, so ν = 1.0035 mm²/s (= 1.0035 cSt).
1 cP (centipoise) = 1 mPa·s exactly; 1 P (poise) = 100 cP = 0.1 Pa·s. For kinematic: 1 cSt = 1 mm²/s exactly.
Thermal energy weakens the hydrogen bonds between water molecules, so fluid layers slide past each other more easily.
Inverse mode uses the bisection method over the 0–100 °C range. This works because μ(T) decreases monotonically across the entire valid range.
No. This correlation is for pure water at around atmospheric pressure. Other fluids have different viscosity–temperature correlations.
This tool is WATER-only. For air use the kinematic-viscosity-of-air calculator (Sutherland correlation). The poise-stokes-converter only converts units, while reynolds-number, prandtl-number, and poiseuilles-law use viscosity as input — none of them compute water μ from temperature.
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