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.

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 out when hot; gases get slightly more viscous. Always state temperature.
SAE grades engine oil at hot/cold temps. ISO VG number equals cSt at 40 °C.