Viscosity Units Explained: Pa·s, cP, cSt

Viscosity is one of those properties everyone has an intuition for — honey is thicker than water — but it is also where the unit names get genuinely confusing. Poise, stokes, pascal-seconds, SAE grades and ISO VG numbers all describe the same thing from different angles. This guide untangles them.

Dynamic vs Kinematic Viscosity

UnitTypeSI EquivalentCommon Use
Pa·sDynamic1 Pa·sSI standard
Poise (P)Dynamic0.1 Pa·sLegacy CGS
Centipoise (cP)Dynamic0.001 Pa·sLab and industry
m²/sKinematic1 m²/sSI standard
Stokes (St)Kinematic10⁻⁴ m²/sLegacy CGS
Centistokes (cSt)Kinematic10⁻⁶ m²/sLubricants, fuels

Reference Values at 20 °C

Some numbers that are worth committing to memory. Air sits at about 0.018 cP. Water is almost exactly 1 cP, which is why the centipoise feels so natural in everyday lab work. Light machine oil falls in the 30–50 cP range; SAE 30 motor oil is about 200 cP at room temperature but drops to roughly 10 cP when hot. Honey is around 10,000 cP, and pitch — famously slow — is around 2.3 × 10¹¹ cP at room temperature.

Converting Between Dynamic and Kinematic

The link between dynamic viscosity (μ) and kinematic viscosity (ν) is density: ν = μ / ρ. For water, μ ≈ 1 mPa·s and ρ = 1000 kg/m³, so ν = 10⁻⁶ m²/s = 1 cSt. For a fuel oil with μ = 50 cP and ρ = 0.9 g/cm³, ν ≈ 55.6 cSt. Always check whether a quoted value is dynamic or kinematic before plugging it into a flow calculation.

  • 1 cP = 1 mPa·s exactly.
  • 1 cSt = 1 mm²/s exactly.
  • For any fluid with density ≈ 1 g/cm³, the cP and cSt values are numerically the same.

Common Pitfalls When Quoting Viscosity

Most viscosity errors come from missing context rather than arithmetic. Watch for these:

  • No temperature stated. A viscosity number is meaningless without a temperature — oil can change tenfold between cold start and operating heat. Always pair the value with its reference temperature (commonly 40 °C or 100 °C for lubricants).
  • Confusing dynamic and kinematic. A datasheet that lists “50” could be 50 cP or 50 cSt — very different once density is involved. Check the unit before using it in a Reynolds-number or flow calculation.
  • Assuming Newtonian behaviour. Ketchup, paint, and polymer melts are non-Newtonian: their viscosity changes with shear rate, so a single number only applies at the measurement conditions.
  • Mixing unit systems. Keep everything in SI (Pa·s, m²/s) or everything in cgs (P, St); converting halfway through is where factors of 100 or 1000 sneak in.

Convert Pressure Too

Flow problems usually need pressure conversions — UnitSnap handles Pa, bar, psi and more.

Pressure Converter →

Frequently Asked Questions

A fluid's resistance to flow — how 'thick' it is.
Dynamic (Pa·s, cP) is internal friction. Kinematic (m²/s, cSt) is dynamic ÷ density.
Pa·s is SI; 1 cP = 1 mPa·s; 1 cSt = 1 mm²/s. Water ≈ 1 cP and ≈ 1 cSt at 20 °C.
Liquids thin dramatically as they warm — engine oil can fall from a few hundred cP when cold to around 10 cP at operating temperature — while gases actually become slightly more viscous when heated. Because the effect is so large, a viscosity figure is incomplete without its reference temperature, which is why lubricant specs always cite values at 40 °C and 100 °C.
SAE grades engine oil at hot/cold temps. ISO VG number equals cSt at 40 °C.