AllUnitsConverters

Dynamic Viscosity Converter

Convert Pascal-seconds (Pa·s), Poise (P), Centipoise (cP), lb/(ft·s), etc.

Result

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Visual Comparison

Base Unit

Relative Value

1.488
1.488
1
1
0.1
0.1
0.001
0.001

*Diagram shows values relative to the selected base unit (Pascal-second).

Unit Information

What is a Pascal-second (Pa·s)?

The Pascal-second (symbol: Pa·s) is the SI derived unit of dynamic viscosity. It represents the viscosity of a fluid in which a tangential stress of one pascal causes a velocity gradient of one reciprocal second. It is equivalent to kg/(m·s). This unit is standard for scientific and engineering applications.

What is a Poise (P)?

The Poise (symbol: P) is the CGS (centimeter-gram-second) unit of dynamic viscosity, named after Jean Léonard Marie Poiseuille. One Poise is equal to 0.1 Pa·s. It's a larger unit than the commonly used centipoise.

What is a Centipoise (cP)?

Centipoise (symbol: cP) is a CGS unit of dynamic viscosity, equal to one-hundredth of a Poise (P), or one millipascal-second (mPa·s). Water at 20°C has a dynamic viscosity of approximately 1 cP, making it a convenient reference. Centipoise is widely used in industry due to its practical magnitude for many common fluids.

What is a Millipascal-second (mPa·s)?

A millipascal-second is one-thousandth of a Pascal-second. It is numerically identical to the centipoise (1 mPa·s = 1 cP). It is often used in scientific literature that adheres strictly to SI prefixes.

What is a Kilogram/(meter·second) (kg/(m·s))?

This unit is dimensionally equivalent to the Pascal-second and is another way of expressing the SI unit for dynamic viscosity, derived directly from the base units of mass, length, and time.

What is a Pound-force second/foot² (lbf·s/ft²)?

This is an imperial unit of dynamic viscosity used in some engineering fields in the United States. It's based on the pound-force as the unit of force and is sometimes called a 'slug per foot-second'.

What is a Pound/(foot·second) (lb/(ft·s))?

This is another common imperial unit of dynamic viscosity, where 'pound' refers to the unit of mass (avoirdupois pound). It's frequently used in chemical and mechanical engineering in the US.

Formulas

1 Pa·s = 10 Poise

One Pascal-second is equal to 10 Poise.

1 Poise = 100 Centipoise (cP)

One Poise is equal to 100 Centipoise.

1 Pa·s = 1000 cP

One Pascal-second is equal to 1000 Centipoise (or mPa·s).

τ = μ * (du/dy)

Newton's law of viscosity: Shear stress (τ) equals dynamic viscosity (μ) times the velocity gradient (du/dy).

1 cP = 1 mPa·s

The centipoise and millipascal-second are numerically identical and often used interchangeably.

1 lb/(ft·s) ≈ 1.488 Pa·s

Conversion between a common imperial unit and the SI unit.

Key Reference Points

Approximate Dynamic Viscosities (at room temp.)
  • Water: ~1 Centipoise (cP) or 0.001 Pa·s.
  • Olive Oil: ~80-100 cP.
  • Honey: ~2,000 - 10,000 cP.
  • SAE 30 Motor Oil: ~200-600 cP (can vary significantly with temperature).
  • Air: ~0.018 cP (much less viscous than liquids).
Material and Industrial Viscosities
  • Ketchup: ~50,000 - 100,000 cP (highly shear-thinning).
  • Peanut Butter: ~250,000 cP.
  • Melted Glass: ~10¹³ Pa·s (extremely viscous).
  • Glycerine: ~1500 cP.
  • Mercury: ~1.5 cP.

Did You Know?

Viscosity of Honey vs. Water

Honey is significantly more viscous than water. While water at room temperature is about 1 cP, honey can range from 2,000 to 10,000 cP or even higher, depending on its composition and temperature. This high viscosity is why honey flows so slowly.

Temperature Dependence

The viscosity of most liquids decreases significantly as temperature increases (they become 'thinner'). Conversely, the viscosity of gases usually increases slightly with temperature.

Non-Newtonian Fluids

Some fluids, called non-Newtonian fluids (e.g., ketchup, blood, cornstarch mixtures), do not have a constant viscosity; their viscosity changes depending on the applied shear stress or shear rate.

The Pitch Drop Experiment

One of the longest-running laboratory experiments in the world, the pitch drop experiment demonstrates the high viscosity of pitch (a derivative of tar). A drop of pitch falls from a funnel about once every decade.

Glass is Not a Liquid

Contrary to the popular myth that glass in old church windows is thicker at the bottom because it flows over centuries, glass is an amorphous solid, not a very slow-moving liquid. The variations are due to historical glass manufacturing processes.

Lubrication

The viscosity of motor oil is one of its most critical properties. The oil must be thin enough to flow and lubricate engine parts at cold temperatures, but thick enough to maintain a protective film at high operating temperatures.

Thixotropic and Rheopectic Fluids

Thixotropic fluids, like ketchup or paint, become less viscous when agitated. Rheopectic fluids are the opposite, becoming more viscous when shaken—a much rarer phenomenon.

Earth's Mantle Viscosity

The Earth's mantle behaves like an extremely viscous fluid over geological timescales, with a viscosity many orders of magnitude greater than pitch. This slow flow is responsible for plate tectonics.

Blood Viscosity

Human blood is a non-Newtonian fluid whose viscosity is crucial for cardiovascular health. Conditions like polycythemia (too many red blood cells) can increase blood viscosity, putting strain on the heart.

Electrorheological Fluids

These 'smart' fluids can change their viscosity dramatically when an electric field is applied. This property has potential applications in clutches, shock absorbers, and hydraulic systems.

Polymer Solutions

Adding even small amounts of long-chain polymers to a solvent can drastically increase its viscosity. This principle is used to create gels, thickeners in food, and fracking fluids.

Lava Flows

The viscosity of lava varies greatly depending on its temperature and silica content. Low-silica basaltic lava is less viscous and can flow for long distances, while high-silica rhyolitic lava is very viscous and tends to form steep-sided domes.

The Poiseuille

The Poiseuille (Pl) is an alternative name for the Pascal-second (Pa·s) in France, though it is not an official SI name. It honors the same scientist as the CGS unit, Poise.

Viscosity of Magma

The viscosity of magma is a key factor in determining the style of a volcanic eruption. Low-viscosity magma allows gases to escape easily, leading to effusive eruptions (lava flows), while high-viscosity magma traps gases, leading to explosive eruptions.

The Stokes

While the Poise is the CGS unit for dynamic viscosity, the Stokes is the CGS unit for kinematic viscosity. The two are related by the fluid's density. They are often confused but measure different properties.

Paint and Shear Thinning

Paint is a shear-thinning (thixotropic) fluid. It has high viscosity at rest so it doesn't drip off the brush, but when you apply it to a wall (applying shear stress), its viscosity decreases, allowing it to be spread smoothly.

Weissenberg Effect

Some non-Newtonian polymer solutions exhibit the Weissenberg effect, where the fluid climbs up a rotating rod instead of being thrown outwards by centrifugal force. This is due to normal stresses that develop in the sheared fluid.

Superfluidity

At extremely low temperatures, certain substances like Helium-4 can become a superfluid, a state of matter with zero viscosity. A superfluid can flow without any friction and even climb up the walls of its container.

Frequently Asked Questions