Viscosity Converter

Understanding Fluid Flow: Viscosity Fundamentals

Viscosity measures a fluid's resistance to flow—honey is more viscous than water. Understanding the critical difference between dynamic viscosity (absolute resistance) and kinematic viscosity (resistance relative to density) is essential for fluid mechanics, lubrication engineering, and industrial processes. This guide covers both types, their relationship through density, conversion formulas for all units, and practical applications from motor oil selection to paint consistency.

What You Can Convert
This tool converts viscosity units within the same type: dynamic viscosity (Pa·s, poise, centipoise, reyn) or kinematic viscosity (m²/s, stokes, centistokes, SUS). WARNING: You cannot convert between dynamic and kinematic without knowing fluid density. Water @ 20°C: 1 cP ≈ 1 cSt, but motor oil: 90 cP = 100 cSt. Our converter prevents cross-type errors.

Fundamental Concepts: Two Types of Viscosity

What is Viscosity?
Viscosity is a fluid's resistance to flow or deformation. High viscosity fluids (honey, molasses) flow slowly; low viscosity fluids (water, alcohol) flow easily. Viscosity decreases with temperature for most liquids—cold honey is thicker than warm honey. There are TWO types of viscosity that CANNOT be directly converted without knowing fluid density.

Dynamic Viscosity (μ) - Absolute

Measures internal resistance to shear stress

Dynamic viscosity (also called absolute viscosity) quantifies how much force is needed to move one layer of fluid past another. It's the intrinsic property of the fluid itself, independent of density. Higher values mean more resistance.

Formula: τ = μ × (du/dy) where τ = shear stress, du/dy = velocity gradient

Units: Pa·s (SI), poise (P), centipoise (cP). Water @ 20°C = 1.002 cP

Kinematic Viscosity (ν) - Relative

Dynamic viscosity divided by density

Kinematic viscosity measures how fast a fluid flows under gravity. It accounts for both internal resistance (dynamic viscosity) and mass per volume (density). Used when gravity-driven flow is important, like oil draining or liquid pouring.

Formula: ν = μ / ρ where μ = dynamic viscosity, ρ = density

Units: m²/s (SI), stokes (St), centistokes (cSt). Water @ 20°C = 1.004 cSt

Critical: Cannot Convert Between Types Without Density!

You CANNOT convert Pa·s (dynamic) to m²/s (kinematic) without knowing the fluid's density.

Example: 100 cP of water (ρ=1000 kg/m³) = 100 cSt. But 100 cP of motor oil (ρ=900 kg/m³) = 111 cSt. Same dynamic viscosity, different kinematic viscosity! This converter prevents cross-type conversions to avoid errors.

Quick Conversion Examples

100 cP → Pa·s= 0.1 Pa·s
50 cSt → m²/s= 0.00005 m²/s
1 P → cP= 100 cP
10 St → cSt= 1000 cSt
100 SUS → cSt≈ 20.65 cSt
1 reyn → Pa·s= 6894.757 Pa·s

The Density Relationship: ν = μ / ρ

Dynamic and kinematic viscosity are related through density. Understanding this relationship is crucial for fluid mechanics calculations:

Water @ 20°C

  • μ (dynamic) = 1.002 cP = 0.001002 Pa·s
  • ρ (density) = 998.2 kg/m³
  • ν (kinematic) = μ/ρ = 1.004 cSt = 1.004 mm²/s
  • Ratio: ν/μ ≈ 1.0 (water is the reference)

SAE 10W-30 Motor Oil @ 100°C

  • μ (dynamic) = 62 cP = 0.062 Pa·s
  • ρ (density) = 850 kg/m³
  • ν (kinematic) = μ/ρ = 73 cSt = 73 mm²/s
  • Note: Kinematic is 18% higher than dynamic (due to lower density)

Glycerin @ 20°C

  • μ (dynamic) = 1,412 cP = 1.412 Pa·s
  • ρ (density) = 1,261 kg/m³
  • ν (kinematic) = μ/ρ = 1,120 cSt = 1,120 mm²/s
  • Note: Very viscous—1,400× thicker than water

Air @ 20°C

  • μ (dynamic) = 0.0181 cP = 1.81×10⁻⁵ Pa·s
  • ρ (density) = 1.204 kg/m³
  • ν (kinematic) = μ/ρ = 15.1 cSt = 15.1 mm²/s
  • Note: Low dynamic, high kinematic (gases have low density)

Industrial Measurement Standards

Before modern viscometers, industry used efflux cup methods—measuring how long it takes a fixed volume of fluid to drain through a calibrated orifice. These empirical standards are still used today:

Saybolt Universal Seconds (SUS)

ASTM D88 standard, widely used in North America for petroleum products

ν(cSt) = 0.226 × SUS - 195/SUS (valid for SUS > 32)

  • Measured at specific temperatures: 100°F (37.8°C) or 210°F (98.9°C)
  • Common range: 31-1000+ SUS
  • Example: SAE 30 oil ≈ 300 SUS @ 100°F
  • Saybolt Furol (SFS) variant for very viscous fluids: ×10 larger orifice

Redwood Seconds No. 1 (RW1)

British IP 70 standard, common in UK and former Commonwealth

ν(cSt) = 0.26 × RW1 - 179/RW1 (valid for RW1 > 34)

  • Measured at 70°F (21.1°C), 100°F, or 140°F
  • Redwood No. 2 variant for thicker fluids
  • Conversion: RW1 ≈ SUS × 1.15 (approximate)
  • Largely replaced by ISO standards but still referenced in older specs

Engler Degree (°E)

DIN 51560 German standard, used in Europe and petroleum industry

ν(cSt) = 7.6 × °E - 6.0/°E (valid for °E > 1.2)

  • Measured at 20°C, 50°C, or 100°C
  • °E = 1.0 for water @ 20°C (by definition)
  • Common range: 1.0-20°E
  • Example: Diesel fuel ≈ 3-5°E @ 20°C

Real-World Viscosity Benchmarks

FluidDynamic (µ, cP)Kinematic (ν, cSt)Notes
Air @ 20°C0.01815.1Low density → high kinematic
Water @ 20°C1.01.0Reference fluid (density ≈ 1)
Olive oil @ 20°C8492Cooking oil range
SAE 10W-30 @ 100°C6273Hot engine oil
SAE 30 @ 40°C200220Cold engine oil
Honey @ 20°C10,0008,000Very viscous liquid
Glycerin @ 20°C1,4121,120High density + viscosity
Ketchup @ 20°C50,00045,000Non-Newtonian fluid
Molasses @ 20°C5,0003,800Thick syrup
Pitch/Tar @ 20°C100,000,000,00080,000,000,000Pitch drop experiment

Fascinating Viscosity Facts

Pitch Drop Experiment

The world's longest-running lab experiment (since 1927) at the University of Queensland shows pitch (tar) flowing through a funnel. It looks solid but is actually a very high-viscosity liquid—100 billion times more viscous than water! Only 9 drops have fallen in 94 years.

Lava Viscosity Determines Volcanoes

Basaltic lava (low viscosity, 10-100 Pa·s) creates gentle Hawaiian-style eruptions with flowing rivers. Rhyolitic lava (high viscosity, 100,000+ Pa·s) creates explosive Mount St. Helens-style eruptions because gases can't escape. Viscosity literally shapes volcanic mountains.

Blood Viscosity Saves Lives

Blood is 3-4× more viscous than water (3-4 cP @ 37°C) due to red blood cells. High blood viscosity increases stroke/heart attack risk. Low-dose aspirin reduces viscosity by preventing platelet aggregation. Blood viscosity testing can predict cardiovascular disease.

Glass Is NOT a Supercooled Liquid

Contrary to popular myth, old windows aren't thicker at the bottom due to flow. Glass viscosity at room temperature is 10²⁰ Pa·s (1 trillion trillion times water). To flow 1mm would take longer than the age of the universe. It's a true solid, not a slow liquid.

Motor Oil Grades Are Viscosity

SAE 10W-30 means: 10W = winter viscosity @ 0°F (low-temp flow), 30 = viscosity @ 212°F (operating temp protection). The 'W' is winter, not weight. Multi-grade oils use polymers that coil when cold (low viscosity) and expand when hot (maintain viscosity).

Insects Walk on Water via Viscosity

Water striders exploit surface tension, but also leverage water's viscosity. Their leg movements create vortices that push against viscous resistance, propelling them forward. In zero-viscosity fluid (theoretical), they couldn't move—they'd slip without traction.

Evolution of Viscosity Measurement

1687

Isaac Newton describes viscosity in Principia Mathematica. Introduces concept of 'internal friction' in fluids.

1845

Jean Poiseuille studies blood flow in capillaries. Derives Poiseuille's Law relating flow rate to viscosity.

1851

George Stokes derives equations for viscous flow. Proves relationship between dynamic and kinematic viscosity.

1886

Osborne Reynolds introduces Reynolds number. Relates viscosity to flow regime (laminar vs turbulent).

1893

Saybolt viscometer standardized in USA. Efflux cup method becomes petroleum industry standard.

1920s

Poise and stokes named as CGS units. 1 P = 0.1 Pa·s, 1 St = 1 cm²/s become standard.

1927

Pitch drop experiment begins at University of Queensland. Still running—longest lab experiment ever.

1960s

SI adopts Pa·s and m²/s as standard units. Centipoise (cP) and centistokes (cSt) remain common.

1975

ASTM D445 standardizes kinematic viscosity measurement. Capillary viscometer becomes industry standard.

1990s

Rotational viscometers enable non-Newtonian fluid measurement. Important for paints, polymers, food.

2000s

Digital viscometers automate measurement. Temperature-controlled baths ensure precision to ±0.01 cSt.

Real-World Applications

Lubrication Engineering

Motor oil, hydraulic fluid, and bearing lubrication selection:

  • SAE grades: 10W-30 means 10W @ 0°F, 30 @ 212°F (kinematic viscosity ranges)
  • ISO VG grades: VG 32, VG 46, VG 68 (kinematic viscosity @ 40°C in cSt)
  • Bearing selection: Too thin = wear, too thick = friction/heat
  • Viscosity index (VI): Measures temperature sensitivity (higher = better)
  • Multi-grade oils: Additives maintain viscosity across temperatures
  • Hydraulic systems: Typically 32-68 cSt @ 40°C for optimal performance

Petroleum Industry

Fuel, crude oil, and refining viscosity specifications:

  • Heavy fuel oil: Measured in cSt @ 50°C (must be heated to pump)
  • Diesel: 2-4.5 cSt @ 40°C (EN 590 spec)
  • Crude oil classification: Light (<10 cSt), medium, heavy (>50 cSt)
  • Pipeline flow: Viscosity determines pumping power requirements
  • Bunker fuel grades: IFO 180, IFO 380 (cSt @ 50°C)
  • Refining process: Viscosity breaking reduces heavy fractions

Food & Beverage

Quality control and process optimization:

  • Honey grading: 2,000-10,000 cP @ 20°C (depending on moisture)
  • Syrup consistency: Maple syrup 150-200 cP, corn syrup 2,000+ cP
  • Dairy: Cream viscosity affects texture and mouthfeel
  • Chocolate: 10,000-20,000 cP @ 40°C (tempering process)
  • Beverage carbonation: Viscosity affects bubble formation
  • Cooking oil: 50-100 cP @ 20°C (smoke point correlates with viscosity)

Manufacturing & Coatings

Paint, adhesives, polymers, and process control:

  • Paint viscosity: 70-100 KU (Krebs units) for application consistency
  • Spray coating: Typically 20-50 cP (too thick clogs, too thin runs)
  • Adhesives: 500-50,000 cP depending on application method
  • Polymer melts: 100-100,000 Pa·s (extrusion/molding)
  • Printing inks: 50-150 cP for flexographic, 1-5 P for offset
  • Quality control: Viscosity indicates batch consistency and shelf life

Temperature Effects on Viscosity

Viscosity changes dramatically with temperature. Most liquids decrease viscosity as temperature increases (molecules move faster, flow easier):

Fluid20°C (cP)50°C (cP)100°C (cP)% Change
Water1.00.550.28-72%
SAE 10W-30 Oil2008015-92%
Glycerin141215222-98%
Honey10,0001,000100-99%
SAE 90 Gear Oil75015030-96%

Complete Unit Conversion Reference

All viscosity unit conversions with precise formulas. Remember: Dynamic and kinematic viscosities CANNOT convert without fluid density.

Dynamic Viscosity Conversions

Base Unit: Pascal second (Pa·s)

These units measure absolute resistance to shear stress. All convert linearly.

FromToFormulaExample
Pa·sPoise (P)P = Pa·s × 101 Pa·s = 10 P
Pa·sCentipoise (cP)cP = Pa·s × 10001 Pa·s = 1000 cP
PoisePa·sPa·s = P / 1010 P = 1 Pa·s
PoiseCentipoisecP = P × 1001 P = 100 cP
CentipoisePa·sPa·s = cP / 10001000 cP = 1 Pa·s
CentipoisemPa·smPa·s = cP × 11 cP = 1 mPa·s (identical)
ReynPa·sPa·s = reyn × 6894.7571 reyn = 6894.757 Pa·s
lb/(ft·s)Pa·sPa·s = lb/(ft·s) × 1.4881641 lb/(ft·s) = 1.488 Pa·s

Kinematic Viscosity Conversions

Base Unit: Square meter per second (m²/s)

These units measure flow rate under gravity (dynamic viscosity ÷ density). All convert linearly.

FromToFormulaExample
m²/sStokes (St)St = m²/s × 10,0001 m²/s = 10,000 St
m²/sCentistokes (cSt)cSt = m²/s × 1,000,0001 m²/s = 1,000,000 cSt
Stokesm²/sm²/s = St / 10,00010,000 St = 1 m²/s
StokesCentistokescSt = St × 1001 St = 100 cSt
Centistokesm²/sm²/s = cSt / 1,000,0001,000,000 cSt = 1 m²/s
Centistokesmm²/smm²/s = cSt × 11 cSt = 1 mm²/s (identical)
ft²/sm²/sm²/s = ft²/s × 0.092903041 ft²/s = 0.0929 m²/s

Industrial Standard Conversions (to Kinematic)

Empirical formulas convert efflux time (seconds) to kinematic viscosity (cSt). These are approximate and temperature-dependent.

CalculationFormulaExample
Saybolt Universal to cStcSt = 0.226 × SUS - 195/SUS (for SUS > 32)100 SUS = 20.65 cSt
cSt to Saybolt UniversalSUS = (cSt + √(cSt² + 4×195×0.226)) / (2×0.226)20.65 cSt = 100 SUS
Redwood No. 1 to cStcSt = 0.26 × RW1 - 179/RW1 (for RW1 > 34)100 RW1 = 24.21 cSt
cSt to Redwood No. 1RW1 = (cSt + √(cSt² + 4×179×0.26)) / (2×0.26)24.21 cSt = 100 RW1
Engler Degree to cStcSt = 7.6 × °E - 6.0/°E (for °E > 1.2)5 °E = 36.8 cSt
cSt to Engler Degree°E = (cSt + √(cSt² + 4×6.0×7.6)) / (2×7.6)36.8 cSt = 5 °E

Dynamic ↔ Kinematic Conversion (Requires Density)

These conversions require knowing the fluid's density at the measurement temperature.

CalculationFormulaExample
Dynamic to Kinematicν (m²/s) = μ (Pa·s) / ρ (kg/m³)μ=0.001 Pa·s, ρ=1000 kg/m³ → ν=0.000001 m²/s
Kinematic to Dynamicμ (Pa·s) = ν (m²/s) × ρ (kg/m³)ν=0.000001 m²/s, ρ=1000 kg/m³ → μ=0.001 Pa·s
cP to cSt (common)cSt = cP / (ρ in g/cm³)100 cP, ρ=0.9 g/cm³ → 111 cSt
Water approximationFor water near 20°C: cSt ≈ cP (ρ≈1)Water: 1 cP ≈ 1 cSt (within 0.2%)

Frequently Asked Questions

What's the difference between dynamic and kinematic viscosity?

Dynamic viscosity (Pa·s, poise) measures the fluid's internal resistance to shear stress—its absolute 'thickness.' Kinematic viscosity (m²/s, stokes) is dynamic viscosity divided by density—how fast it flows under gravity. You need density to convert between them: ν = μ/ρ. Think of it this way: honey has high dynamic viscosity (thick), but mercury also has high kinematic viscosity despite being 'thin' (because it's very dense).

Can I convert centipoise (cP) to centistokes (cSt)?

Not without knowing the fluid's density at the measurement temperature. For water near 20°C, 1 cP ≈ 1 cSt (because water's density ≈ 1 g/cm³). But for motor oil (density ≈ 0.9), 90 cP = 100 cSt. Our converter blocks cross-type conversions to prevent errors. Use this formula: cSt = cP / (density in g/cm³).

Why does my oil viscosity say '10W-30'?

SAE viscosity grades specify kinematic viscosity ranges. '10W' means it meets low-temperature flow requirements (W = winter, tested at 0°F). '30' means it meets high-temperature viscosity requirements (tested at 212°F). Multi-grade oils (like 10W-30) use additives to maintain viscosity across temperatures, unlike single-grade oils (SAE 30) which thin dramatically when hot.

How do Saybolt Seconds relate to centistokes?

Saybolt Universal Seconds (SUS) measure how long 60mL of fluid takes to drain through a calibrated orifice. The empirical formula is: cSt = 0.226×SUS - 195/SUS (for SUS > 32). For example, 100 SUS ≈ 21 cSt. SUS is still used in petroleum specs despite being an older method. Modern labs use kinematic viscometers that directly measure cSt per ASTM D445.

Why does viscosity decrease with temperature?

Higher temperature gives molecules more kinetic energy, letting them slide past each other more easily. For liquids, viscosity typically drops 2-10% per °C. Motor oil at 20°C might be 200 cP but only 15 cP at 100°C (13× decrease!). Viscosity Index (VI) measures this temperature sensitivity: high VI oils (100+) maintain viscosity better, low VI (<50) thin dramatically when heated.

What viscosity should I use for my hydraulic system?

Most hydraulic systems operate best at 25-50 cSt @ 40°C. Too low (<10 cSt) causes internal leakage and wear. Too high (>100 cSt) causes sluggish response, high power consumption, and heat buildup. Check your pump manufacturer's spec—vane pumps prefer 25-35 cSt, piston pumps tolerate 35-70 cSt. ISO VG 46 (46 cSt @ 40°C) is the most common general-purpose hydraulic oil.

Is there a maximum viscosity?

No theoretical maximum, but practical measurements become difficult above 1 million cP (1000 Pa·s). Bitumen/pitch can reach 100 billion Pa·s. Some polymer melts exceed 1 million Pa·s. At extreme viscosities, the boundary between liquid and solid blurs—these materials exhibit both viscous flow (like liquids) and elastic recovery (like solids), called viscoelasticity.

Why are some units named after people?

Poise honors Jean Léonard Marie Poiseuille (1840s), who studied blood flow in capillaries. Stokes honors George Gabriel Stokes (1850s), who derived the equations for viscous flow and proved the relationship between dynamic and kinematic viscosity. A reyn (pound-force second per square inch) is named after Osbourne Reynolds (1880s), famous for the Reynolds number in fluid dynamics.

Complete Tool Directory

All 71 tools available on UNITS

Filter by:
Categories:

Extra