← Tools Directory

Water Viscosity vs Temperature Calculator

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.

Dynamic viscosity μ from temperature

Formula & validity range

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.

Frequently asked questions (FAQ)

What is the dynamic viscosity of water at 20 °C?

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.

What is the viscosity of water at 100 °C?

0.2790 mPa·s — boiling water is almost 3.6× thinner than 0 °C water (1.7531 mPa·s).

Which formula does this calculator use?

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.

How accurate is the viscosity correlation?

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%).

What is the difference between dynamic (μ) and kinematic (ν) viscosity?

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).

How do cP, P, and Pa·s convert?

1 cP (centipoise) = 1 mPa·s exactly; 1 P (poise) = 100 cP = 0.1 Pa·s. For kinematic: 1 cSt = 1 mm²/s exactly.

Why does water viscosity drop when heated?

Thermal energy weakens the hydrogen bonds between water molecules, so fluid layers slide past each other more easily.

How do I find temperature from a viscosity value (inverse)?

Inverse mode uses the bisection method over the 0–100 °C range. This works because μ(T) decreases monotonically across the entire valid range.

Can this calculator be used for oil, glycerin, or other fluids?

No. This correlation is for pure water at around atmospheric pressure. Other fluids have different viscosity–temperature correlations.

How does it differ from the air viscosity calculator?

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.

Free tool by NRTechStudio