Kinematic Viscosity Converter — m²/s, stokes, cSt

Convert kinematic viscosity between m²/s, stokes, centistokes and ft²/s.

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Kinematic Viscosity Converter

Fluids • 6 units

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Enter a value to convert

How to Use the Kinematic Viscosity Converter

  1. Enter a value — type any number. Invalid text and symbols are blocked automatically.
  2. Select From and To units — choose the units to convert between.
  3. Read the animated result — the converted value, factor, and full reference table update instantly.
  4. Use Swap (⇄) — reverse the conversion in one click.

Why Use This Kinematic Viscosity Converter

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m²/s is the reference unit

All 6 units on the Kinematic Viscosity Converter are defined against the Meter²/second (m²/s), so each result is one conversion factor away from a single reference rather than the end of a chain of roundings.

Opens on Meter²/second → Centistokes

The conversion this page is most often opened for is ready before you type anything: 1 m²/s = 1,000,000 cSt. Change either side and every row in the table recalculates with it.

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Understanding the Kinematic Viscosity Converter

The SI unit here is enormous relative to anything that flows: 1 m²/s is 1,000,000 centistokes, and no ordinary liquid comes near it. That is why the working rows are the small ones, and why the table contains a free identity worth knowing — the square millimetre per second and the centistoke are the same quantity exactly, so a datasheet quoting mm²/s and one quoting cSt can be compared without touching a calculator.

Engine-oil grades encode two different measurements in one label, and only one of them belongs on this page. In a 5W-30, the second number is a kinematic viscosity band measured at 100 °C in centistokes, while the number before the W comes from low-temperature cranking and pumping tests that are reported in dynamic units, not kinematic ones. A multigrade is therefore not a single viscosity at all but a pair of limits at opposite ends of the temperature range, which is why two oils sharing a grade can behave differently in between.

Older American datasheets sometimes quote Saybolt Universal Seconds, an efflux time measured by draining a fixed volume through a standard orifice. It is deliberately absent from this table because it is not convertible by a single factor: the relationship to centistokes is non-linear near the low end and only settles into a near-constant ratio of roughly 4.6 cSt per second well above 70 SUS. Converting a Saybolt figure requires the published conversion table for the relevant range, not multiplication.

Common Kinematic Viscosity Converter Values

Quick reference — 1 Meter²/second (m²/s) is equal to:

StokesSt10,000
CentistokescSt1,000,000
Millimeter²/secondmm²/s1,000,000
Centimeter²/secondcm²/s10,000
Foot²/secondft²/s10.763910

Formula & Logic — kinematic viscosity conversion

6 units of kinematic viscosity, each a fixed multiple of the m²/s. The table spans 1,000,000:1, from cSt (0.000001 m²/s) to m²/s (1 m²/s). Conversion is one multiplication into the base unit and one division out of it, with no lookup table and no approximation.

value_to = value_from × (factor_from ÷ factor_to)1 m²/s = 1 m²/s1 St = 0.0001 m²/s1 cSt = 0.000001 m²/s1 mm²/s = 0.000001 m²/s1 cm²/s = 0.0001 m²/s1 ft²/s = 0.092903 m²/s

where:

base unit
m²/s
factor_from
m²/s is the base unit, so this factor is exactly 1
factor_to
1 cSt = 0.000001 m²/s
combined
1 m²/s = 1000000 cSt

Assumptions: Factors are exact definitions. Full double precision is carried internally and rounding is applied only for display.

Worked Example: 25 m²/s to cSt

  • Value25 m²/s
  • FromMeter²/second (m²/s)
  • ToCentistokes (cSt)
  • Base unitm²/s
  1. Into the base unit: 25 × 1 = 25 m²/s.
  2. Out of the base unit: 25 ÷ 0.000001 = 25000000 cSt.
  3. Folded into one constant: 1 m²/s = 1000000 cSt, so the result is larger than the input.

Result25 m²/s = 25000000 cSt

Kinematic Viscosity Converter FAQ

Kinematic viscosity is dynamic viscosity divided by density, in m²/s. It is widely quoted in centistokes (cSt) — motor oils such as SAE 30 are around 100 cSt at 40 °C.
No. Centipoise (cP) is dynamic viscosity; centistokes (cSt) is kinematic. cSt = cP ÷ density (g/cm³). For water they are both ≈1 because water's density is ≈1.

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✔ Written & reviewed by Dr Sam — 20+ yrs in management & research leadership📅 Last updated September 2026📚 Sources: NIST & BIPM SI unit definitions📑 How we build & check these

Kinematic Viscosity, and Why Oil Grades Look Like That

Kinematic viscosity is dynamic viscosity divided by density, giving units of square metres per second (m²/s). It is the form that appears in fluid-flow equations, because what governs whether flow is smooth or turbulent is viscosity relative to inertia, not viscosity alone.

The practical unit is the centistoke, 10⁻⁶ m²/s, chosen so that water at 20 °C is almost exactly 1 cSt. Lubricant grades are built directly on it: ISO VG 46 oil is 46 cSt at 40 °C. That temperature reference is not optional — viscosity falls steeply as oil warms, so a grade quoted without its reference temperature is meaningless, which is the single most common misreading of an oil datasheet.