🌊 St to m²/s — Stokes to Square Meter/Second Converter

Convert kinematic viscosity units — m²/s, Stokes, centistokes, ft²/s and more.

1 unit =
From
To
Formula 1 St = 0.0001 m²/s
UnitNameValue
m²/s Square Meter/Second 0.0001
cm²/s Square Centimeter/Second 1
cSt Centistokes 100
ft²/s Square Foot/Second 0.0010763915
in²/s Square Inch/Second 0.15500031

Quick Answer

Formula: m²/s = Stokes × 0.0001

Multiply any Stokes value by 0.0001 to get m²/s.

Reverse: Stokes = m²/s × 1e+04

Water reference (20°C): 0.01004 St = 1.0040e-6 m²/s

Worked Examples

1×10⁻⁴ m²/s
1 St × 0.0001 = 0.0001 m²/s
1 St = 1×10⁻⁴ m²/s = 100 cSt.
Water
0.01 St × 0.0001 = 1.0000e-6 m²/s
0.01 St = 1×10⁻⁶ m²/s = 1 cSt — water.
1×10⁻³ m²/s
10 St × 0.0001 = 0.001 m²/s
10 St = 1×10⁻³ m²/s — thick oil.
Air approx
0.0001 St × 0.0001 = 1.0000e-8 m²/s
0.00015 St ≈ 1.5×10⁻⁸ m²/s — air.

Kinematic Viscosity of Common Fluids

Values at ~20°C unless noted. Factor: 1 St = 0.0001 m²/s

Stokes (St)m²/s (m²/s)Fluid
0.00015 St1.500e-08 m²/sAir (20°C)
0.005 St5.000e-07 m²/sPetrol (gasoline)
0.01004 St1.004e-06 m²/sWater (20°C)
0.015 St1.500e-06 m²/sEthanol
0.03 St3.000e-06 m²/sDiesel fuel
0.35 St3.500e-05 m²/sSAE 10W motor oil
0.84 St8.400e-05 m²/sOlive oil
1 St1.000e-04 m²/sSAE 30 motor oil
1.8 St0.00018 m²/sSAE 90 gear oil
14.1 St0.00141 m²/sGlycerin (20°C)
50 St0.005 m²/sHoney
80 St0.008 m²/sMolasses
500 St0.05 m²/sTomato ketchup
2500 St0.25 m²/sPeanut butter
1.000e+19 St1.000e+15 m²/sGlass (room temp)

Mental Math Tricks

÷ 10000

St ÷ 10,000 = m²/s. Exact.

Key anchor

1 St = 10⁻⁴ m²/s. 0.01 St = 10⁻⁶ m²/s (water).

Reverse

m²/s × 10,000 = St.

Who Uses This Conversion?

Lubrication Engineer

Specifies lubricant viscosity grades in cSt at 40°C and 100°C per ISO VG and SAE standards.

Chemical Engineer

Uses kinematic viscosity in cSt for pipeline flow calculations, pump sizing, and heat exchanger design.

Petroleum Engineer

Measures crude oil and refined product viscosity in cSt for pipeline transport and refinery design.

Hydraulic Systems Engineer

Selects hydraulic fluids based on kinematic viscosity in cSt for pump compatibility and system efficiency.

Food Engineer

Characterizes food product viscosity (honey, sauces, oils) in cSt for process design and quality control.

Aerospace Engineer

Uses ft²/s or cSt for atmospheric kinematic viscosity in Reynolds number calculations for aircraft design.

Frequently Asked Questions

About Stokes and m²/s

Stokes (St)

The Stokes (St) is the CGS unit of kinematic viscosity, equal to exactly 1 cm²/s = 10⁻⁴ m²/s. It was named after Sir George Gabriel Stokes by the British Association for the Advancement of Science in 1882.

The Stokes is used in petroleum engineering and some industrial viscometer specifications. Water at 20°C = 0.01 St = 1 cSt. Engine oils range from 50–200 cSt (0.5–2 St) at 40°C. Pourable molasses is about 5–10 St (500–1,000 cSt).

Interesting fact: George Stokes was also the first to explain fluorescence (Stokes shift), derive the Navier-Stokes equations of fluid motion, and develop the theory of diffraction. His work in fluid mechanics in the 1840s–1850s remains fundamental to modern engineering.

m²/s (m²/s)

Square meter per second (m²/s) is the SI unit of kinematic viscosity, defined as dynamic viscosity divided by fluid density. It measures how easily a fluid flows under gravity relative to its own inertia. The unit was formalized with SI in 1960.

m²/s values are very small for most fluids: water at 20°C ≈ 1×10⁻⁶ m²/s; air ≈ 1.5×10⁻⁵ m²/s; SAE 30 motor oil ≈ 1×10⁻⁴ m²/s. The large exponents make m²/s impractical for everyday use, which is why cSt and St are more common.

Interesting fact: Kinematic viscosity is the ratio ν = μ/ρ (dynamic viscosity ÷ density). A very viscous but dense fluid can have lower kinematic viscosity than a less viscous but very light fluid — which is why kinematic viscosity (not dynamic) governs flow by gravity.

About Stokes to m²/s Conversion

Kinematic viscosity (ν = μ/ρ) measures how a fluid flows under gravity. The cSt is dominant in industry; m²/s is the SI unit; St and cm²/s are the CGS equivalents. Key anchor: water at 20°C ≈ 1 cSt = 10⁻⁶ m²/s = 0.01 St.

Exact factor: 1 St = 0.0001 m²/s. Reverse: 1 m²/s = 1e+04 St.

All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.