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Convert Stokes to Square meters per second

Instantly convert Stokes (St) to Square meters per second (m²/s) with our free online calculator.

Reviewed by Christopher FloiedUpdated

Formula: St to m²/smultiply by 1.0000e-4

Reference Table

Stokes (St)Square meters per second (m²/s)
10.0001
50.0005
100.001
250.0025
500.005
1000.01

How to Convert Stokes to Square meters per second

Formula

To convert Stokes (St) to Square meters per second (m²/s): multiply by 1.0000e-4

Step-by-Step

  1. Start with your value in Stokes (St).
  2. Multiply by 1.0000e-4 to perform the conversion.
  3. The result is your value expressed in Square meters per second (m²/s).

Conversion Factor

1 St = 0.0001 m²/s

Reverse Factor

1 m²/s = 10000 St

Worked Example

Convert 25 Stokes to Square meters per second: 25 St = 0.0025 m²/s

About Stoke (St)

The CGS unit of kinematic viscosity equal to exactly 1 cm²/s (= 100 cSt = 10⁻⁴ m²/s). Named after Irish mathematician Sir George Gabriel Stokes, whose 1851 paper 'On the Effect of the Internal Friction of Fluids on the Motion of Pendulums' (Cambridge Phil. Trans.) established the laminar-drag formula F = 6πμrv (Stokes' law) — still the basis for terminal-velocity calculations for sedimenting particles, atmospheric aerosol settling rates, and laboratory particle-sizing techniques (Stokes diameter). The stoke as a unit is occasionally used directly for highly viscous fluids in geophysics and glass science where typical values are large enough that cSt would have many leading zeros: basaltic lava 10² to 10⁴ St at eruption temperature, granitic / rhyolitic lava 10⁹ to 10¹¹ St, the asthenosphere of Earth's mantle 10¹⁸ to 10²⁰ St, the lower mantle 10²² St, glass at the working point ~10⁴ St.

About Square meter per second (m²/s)

The SI unit of kinematic viscosity (ISO 80000-4 §4-33) — dynamic viscosity divided by density (ν = μ/ρ), with dimensions of length squared per time. Kinematic viscosity captures how readily a fluid flows under inertial forces relative to viscous resistance, and appears directly in the dimensionless Reynolds number (Re = ρVL/μ = VL/ν) that determines laminar vs turbulent flow regimes. m²/s is the reference unit in fluid-mechanics research, CFD solver inputs (Ansys Fluent, OpenFOAM, COMSOL, ANSYS CFX), and Reynolds-number calculations. Real-world liquid values typically span 10⁻⁶ to 10⁻³ m²/s, so most practical engineering uses mm²/s (= 10⁻⁶ m²/s = 1 cSt). Reference values: air at 20 °C 1.5 × 10⁻⁵ m²/s, water at 20 °C 1.004 × 10⁻⁶ m²/s, SAE 10W-30 motor oil ~70 × 10⁻⁶ m²/s at 100 °C, glycerin 1.18 × 10⁻³ m²/s — six orders of magnitude variation across common fluids.

Quick Facts

  • 1 Stoke equals 0.0001 Square meters per second
  • 1 Square meter per second equals 10000 Stokes
  • Stoke is a unit of kinematic viscosity
  • Square meter per second is a unit of kinematic viscosity
  • This conversion is commonly used in fluid flow analysis, lubrication engineering, and process design
  • The Stoke belongs to the metric system

Common Stoke to Square meter per second Conversions

Stokes (St)Square meters per second (m²/s)
0.010.000001
0.10.00001
0.250.000025
0.50.00005
10.0001
20.0002
30.0003
50.0005
100.001
150.0015
200.002
250.0025
500.005
750.0075
1000.01
2500.025
5000.05
10000.1
50000.5
100001

Understanding Stokes

The Stoke (symbol: St) is a unit of kinematic viscosity. The CGS unit of kinematic viscosity equal to exactly 1 cm²/s (= 100 cSt = 10⁻⁴ m²/s). Named after Irish mathematician Sir George Gabriel Stokes, whose 1851 paper 'On the Effect of the Internal Friction of Fluids on the Motion of Pendulums' (Cambridge Phil. Trans.) established the laminar-drag formula F = 6πμrv (Stokes' law) — still the basis for terminal-velocity calculations for sedimenting particles, atmospheric aerosol settling rates, and laboratory particle-sizing techniques (Stokes diameter). The stoke as a unit is occasionally used directly for highly viscous fluids in geophysics and glass science where typical values are large enough that cSt would have many leading zeros: basaltic lava 10² to 10⁴ St at eruption temperature, granitic / rhyolitic lava 10⁹ to 10¹¹ St, the asthenosphere of Earth's mantle 10¹⁸ to 10²⁰ St, the lower mantle 10²² St, glass at the working point ~10⁴ St.

It belongs to the metric measurement system.

Stokes are commonly used in fluid flow analysis, lubrication engineering, and process design.

Understanding Square meters per second

The Square meter per second (symbol: m²/s) is a unit of kinematic viscosity. The SI unit of kinematic viscosity (ISO 80000-4 §4-33) — dynamic viscosity divided by density (ν = μ/ρ), with dimensions of length squared per time. Kinematic viscosity captures how readily a fluid flows under inertial forces relative to viscous resistance, and appears directly in the dimensionless Reynolds number (Re = ρVL/μ = VL/ν) that determines laminar vs turbulent flow regimes. m²/s is the reference unit in fluid-mechanics research, CFD solver inputs (Ansys Fluent, OpenFOAM, COMSOL, ANSYS CFX), and Reynolds-number calculations. Real-world liquid values typically span 10⁻⁶ to 10⁻³ m²/s, so most practical engineering uses mm²/s (= 10⁻⁶ m²/s = 1 cSt). Reference values: air at 20 °C 1.5 × 10⁻⁵ m²/s, water at 20 °C 1.004 × 10⁻⁶ m²/s, SAE 10W-30 motor oil ~70 × 10⁻⁶ m²/s at 100 °C, glycerin 1.18 × 10⁻³ m²/s — six orders of magnitude variation across common fluids.

It belongs to the metric measurement system.

Square meters per second are commonly used in fluid flow analysis, lubrication engineering, and process design.

Why Convert Stokes to Square meters per second?

Converting between Stokes and Square meters per second is a frequent requirement for engineers, scientists, and students working with kinematic viscosity values. Different industries and regions favour different unit systems, so having a dependable conversion tool saves time and prevents errors in technical calculations. Whether you are verifying a specification sheet, cross-checking simulation results, or preparing a report for an international audience, accurate kinematic viscosity conversion is essential.

Frequently Asked Questions

How do I convert Stokes to Square meters per second?

The CGS unit of kinematic viscosity equal to exactly 1 cm²/s (= 100 cSt = 10⁻⁴ m²/s). To convert Stokes to Square meters per second, multiply by 1.0000e-4. For example, 25 St equals 0.0025 m²/s.

How many Square meters per second are in 1 Stoke?

There are 0.0001 Square meters per second in 1 Stoke.

How many Stokes are in 1 Square meter per second?

There are 10000 Stokes in 1 Square meter per second.

What is the formula for Stoke to Square meter per second conversion?

The formula is: multiply by 1.0000e-4. This means 1 St = 0.0001 m²/s.

Is a Stoke bigger than a Square meter per second?

Yes. One Stoke is larger than one Square meter per second because 1 St equals 0.0001 m²/s, which is less than 1.

When do you need to convert between Stokes and Square meters per second?

The SI unit of kinematic viscosity (ISO 80000-4 §4-33) — dynamic viscosity divided by density (ν = μ/ρ), with dimensions of length squared per time. Stoke and Square meter per second are both kinematic viscosity units, so conversion comes up whenever one source of information uses one unit and another uses the other — a classic cross-reference challenge in engineering, trade, travel, and everyday life.

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