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Centistokes to Stokes

1 Centistokes (cSt) = 0.01Stokes (St)

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Result
0.01 St
1 cSt = 0.01 St
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How Many Stokes in a Centistokes?

One centistokes (cSt) equals exactly 0.01 stokes (St). To convert centistokes to stokes, divide the cSt value by 100. Centistokes is the standard unit for kinematic viscosity — the ratio of dynamic viscosity to density. While dynamic viscosity (measured in cP or Pa·s) describes a fluid's internal resistance to flow, kinematic viscosity describes how fast a fluid flows under gravity. Kinematic viscosity is what you observe when you pour oil from a bottle — thicker oil flows more slowly. The centistokes scale is calibrated so that water at 20°C is approximately 1.0 cSt, just as it is approximately 1.0 cP for dynamic viscosity. Lubricant specifications, fuel quality standards, and industrial process specifications commonly use centistokes. ISO viscosity grades for industrial oils (ISO VG 32, VG 46, VG 68) are defined by kinematic viscosity in cSt at 40°C. Converting to stokes mostly matters when reading older lubricant tables and archived fluid-mechanics references. In practice, it is a translation between old and new labeling rather than a change in what the fluid is doing physically.

How to Convert Centistokes to Stokes

  1. Start with your kinematic viscosity value in centistokes (cSt).
  2. Divide by 100 to get stokes (St).
  3. For example, 68 cSt / 100 = 0.68 St.
  4. This is a standard centi-prefix conversion: 1 St = 100 cSt.
  5. For SI units, 1 cSt = 1 mm²/s exactly.

Real-World Examples

ISO VG 46 hydraulic oil has a kinematic viscosity of 46 cSt at 40°C. Express in stokes.
46 / 100 = 0.46 St.
Diesel fuel has a kinematic viscosity of about 3 cSt. Convert to stokes.
3 / 100 = 0.03 St. Diesel is a relatively thin fluid.
A gear oil is rated at 320 cSt at 40°C. Express in stokes.
320 / 100 = 3.2 St. This is a heavy industrial gear oil.
Silicone fluid for a shock absorber is 500 cSt. Convert to stokes.
500 / 100 = 5.0 St.

Quick Reference

Centistokes (cSt)Stokes (St)
10.01
20.02
50.05
100.1
250.25
500.5
1001
5005
1,00010

History of Centistokes and Stokes

The stokes (St) was named after Sir George Gabriel Stokes (1819-1903), an Irish-English physicist who made major contributions to fluid dynamics, including Stokes' law for the drag force on a sphere moving through a viscous fluid. The stokes is defined as 1 cm²/s in the CGS system. Like the poise, the stokes was quickly supplanted by its centi-fraction for practical use: water at 20°C is 0.01 St but 1.0 cSt. The SI equivalent of the stokes is m²/s (1 St = 10⁻⁴ m²/s), and the SI equivalent of the centistokes is mm²/s (1 cSt = 1 mm²/s exactly). The centistokes became the standard unit for specifying lubricant grades, fuel quality, and industrial fluid properties.

Common Mistakes to Avoid

  • Confusing centistokes (kinematic viscosity) with centipoise (dynamic viscosity). For water (density = 1 g/cm³), 1 cP = 1 cSt. For oil (density = 0.85 g/cm³), 85 cP = 100 cSt. The relationship is: cSt = cP / density (in g/cm³).
  • Using centistokes where centipoise is needed (or vice versa) in calculations. Fluid dynamics equations typically require dynamic viscosity. If your data is in cSt, multiply by density (in g/cm³) to get cP.
  • Forgetting that kinematic viscosity depends on both the fluid's dynamic viscosity AND its density. Two fluids can have the same cP but different cSt if their densities differ.
  • Treating stokes as an SI unit because it looks like a base-name measurement. It is a CGS-derived unit. Modern standards normally express the same property in cSt or mm²/s instead.
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Frequently Asked Questions

What is the difference between dynamic and kinematic viscosity?
Dynamic viscosity (cP, Pa·s) measures a fluid's internal resistance to shear force. Kinematic viscosity (cSt, mm²/s) is dynamic viscosity divided by density — it measures how fast a fluid flows under gravity alone. A capillary viscometer (like a Cannon-Fenske) directly measures kinematic viscosity. A rotational viscometer measures dynamic viscosity.
What do ISO VG numbers mean?
ISO VG (Viscosity Grade) is the kinematic viscosity in cSt at 40°C, rounded to a standard value. VG 32 means 32 cSt at 40°C. VG 46 means 46 cSt. VG 68 means 68 cSt. The grades follow a progression: 2, 3, 5, 7, 10, 15, 22, 32, 46, 68, 100, 150, 220, 320, 460, 680, 1000, 1500. Each grade is approximately 50% higher than the previous one.
How do SAE motor oil grades relate to centistokes?
SAE grades define kinematic viscosity ranges at 100°C. SAE 30: 9.3-12.5 cSt. SAE 40: 12.5-16.3 cSt. SAE 50: 16.3-21.9 cSt. The "W" (winter) grades define low-temperature pumpability. A multi-grade oil like 10W-30 must meet both the W-grade cold requirements and the base grade hot requirements.
Is 1 cSt exactly the same as 1 mm²/s?
Yes. 1 centistokes equals exactly 1 square millimeter per second. That equivalence is why many modern datasheets say mm²/s while older viscometer readouts and oil specs say cSt.
Why do most lubricant specs use cSt instead of stokes?
Because stokes is too coarse for ordinary fluids. A common industrial oil might be 0.46 St but 46 cSt. The cSt scale gives convenient whole-number values that are easier to compare across lubricant grades.
Quick Tip

A useful rule: for petroleum-based oils (density about 0.85-0.90 g/cm³), the cSt value is roughly 10-15% higher than the cP value at the same temperature. For water-based fluids (density close to 1.0), cSt and cP are approximately equal. This helps you sanity-check conversions between the two viscosity types.

Sources & References