🌊 in²/s to St — Square Inch/Second to Stokes Converter

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

1 unit =
From
To
Formula 1 in²/s = 6.452 St
UnitNameValue
m²/s Square Meter/Second 0.00064516
cm²/s Square Centimeter/Second 6.4516
St Stokes 6.4516
cSt Centistokes 645.16
ft²/s Square Foot/Second 0.0069444474

Quick Answer

Formula: Stokes = in²/s × 6.452

Multiply any in²/s value by 6.452 to get Stokes.

Reverse: in²/s = Stokes × 0.155

Water reference (20°C): 0.001556 in²/s = 0.01004 St

Worked Examples

Water (1 cSt)
0.001556 in²/s × 6.452 = 0.01004 St
Water (1 cSt)
Air (~15 cSt)
0.02325 in²/s × 6.452 = 0.15 St
Air (~15 cSt)
SAE 30 oil (~100 cSt)
0.155 in²/s × 6.452 = 1 St
SAE 30 oil (~100 cSt)
Glycerin (~1410 cSt)
2.186 in²/s × 6.452 = 14.1 St
Glycerin (~1410 cSt)

Kinematic Viscosity of Common Fluids

Values at ~20°C unless noted. Factor: 1 in²/s = 6.452 St

in²/s (in²/s)Stokes (St)Fluid
2.325e-05 in²/s0.00015 StAir (20°C)
0.000775 in²/s0.005 StPetrol (gasoline)
0.001556 in²/s0.01004 StWater (20°C)
0.002325 in²/s0.015 StEthanol
0.00465 in²/s0.03 StDiesel fuel
0.05425 in²/s0.35 StSAE 10W motor oil
0.1302 in²/s0.84 StOlive oil
0.155 in²/s1 StSAE 30 motor oil
0.279 in²/s1.8 StSAE 90 gear oil
2.186 in²/s14.1 StGlycerin (20°C)
7.75 in²/s50 StHoney
12.4 in²/s80 StMolasses
77.5 in²/s500 StTomato ketchup
387.5 in²/s2500 StPeanut butter
1.550e+18 in²/s1.000e+19 StGlass (room temp)

Mental Math Tricks

Exact factor

1 in²/s = 6.452 St.

Water anchor

Water at 20°C = 1 cSt = 0.01 St = 10⁻⁶ m²/s. Use as reference.

Reverse

Multiply result by 0.155 to recover the original in²/s value.

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 in²/s and Stokes

in²/s (in²/s)

Square inch per second (in²/s) is occasionally used in US precision engineering and hydraulic system specifications where inch-based units are standard. One in²/s = 6.4516×10⁻⁴ m²/s = 6.4516 St.

In²/s appears in some US hydraulic fluid specifications and industrial machinery manuals. A typical hydraulic fluid at 40°C might be specified as 0.04 in²/s (40 cSt). It is rarely used in modern practice compared to cSt.

Interesting fact: Hydraulic systems in US aircraft were historically specified using in²/s for fluid viscosity, alongside psi for pressure and gpm for flow — a fully inch-pound unit system that required separate conversion when integrating with metric components.

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.

About in²/s to Stokes 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 in²/s = 6.452 St. Reverse: 1 St = 0.155 in²/s.

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