Convert kinematic viscosity units — m²/s, Stokes, centistokes, ft²/s and more.
| Unit | Name | Value |
|---|---|---|
| cm²/s | Square Centimeter/Second | 10000 |
| St | Stokes | 10000 |
| cSt | Centistokes | 1000000 |
| ft²/s | Square Foot/Second | 10.763915 |
| in²/s | Square Inch/Second | 1550.0031 |
Formula: cm²/s = m²/s × 1e+04
Multiply any m²/s value by 1e+04 to get cm²/s.
Reverse: m²/s = cm²/s × 0.0001
Water reference (20°C): 1.0040e-6 m²/s = 0.01004 cm²/s
Values at ~20°C unless noted. Factor: 1 m²/s = 1e+04 cm²/s
| m²/s (m²/s) | cm²/s (cm²/s) | Fluid |
|---|---|---|
| 1.500e-08 m²/s | 0.00015 cm²/s | Air (20°C) |
| 5.000e-07 m²/s | 0.005 cm²/s | Petrol (gasoline) |
| 1.004e-06 m²/s | 0.01004 cm²/s | Water (20°C) |
| 1.500e-06 m²/s | 0.015 cm²/s | Ethanol |
| 3.000e-06 m²/s | 0.03 cm²/s | Diesel fuel |
| 3.500e-05 m²/s | 0.35 cm²/s | SAE 10W motor oil |
| 8.400e-05 m²/s | 0.84 cm²/s | Olive oil |
| 1.000e-04 m²/s | 1 cm²/s | SAE 30 motor oil |
| 0.00018 m²/s | 1.8 cm²/s | SAE 90 gear oil |
| 0.00141 m²/s | 14.1 cm²/s | Glycerin (20°C) |
| 0.005 m²/s | 50 cm²/s | Honey |
| 0.008 m²/s | 80 cm²/s | Molasses |
| 0.05 m²/s | 500 cm²/s | Tomato ketchup |
| 0.25 m²/s | 2500 cm²/s | Peanut butter |
| 1.000e+15 m²/s | 1.000e+19 cm²/s | Glass (room temp) |
m²/s × 10,000 = cm²/s. Exact.
10⁻⁴ m²/s = 1 cm²/s = 1 St. 10⁻⁶ m²/s = 0.01 cm²/s = 1 cSt.
cm²/s ÷ 10,000 = m²/s.
Specifies lubricant viscosity grades in cSt at 40°C and 100°C per ISO VG and SAE standards.
Uses kinematic viscosity in cSt for pipeline flow calculations, pump sizing, and heat exchanger design.
Measures crude oil and refined product viscosity in cSt for pipeline transport and refinery design.
Selects hydraulic fluids based on kinematic viscosity in cSt for pump compatibility and system efficiency.
Characterizes food product viscosity (honey, sauces, oils) in cSt for process design and quality control.
Uses ft²/s or cSt for atmospheric kinematic viscosity in Reynolds number calculations for aircraft design.
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.
Square centimeter per second (cm²/s) equals exactly 1 Stokes — the CGS unit of kinematic viscosity. The equivalence cm²/s = St makes this unit important in older fluid mechanics literature and some industrial applications.
cm²/s = St is used in petroleum engineering viscometers, some lubricant standards, and pre-SI fluid mechanics texts. Water at 20°C = 0.01 cm²/s = 0.01 St = 1 cSt. Honey ≈ 500–10,000 cSt = 5–100 cm²/s.
Interesting fact: The Stokes unit is named after Sir George Gabriel Stokes, the Irish physicist who derived Stokes' Law (1851) describing the drag force on a sphere moving through a viscous fluid — the foundational equation for falling-sphere viscometers still used today.
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 m²/s = 1e+04 cm²/s. Reverse: 1 cm²/s = 0.0001 m²/s.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.