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Viscosity

Imagine spilling a cup of honey and a cup of water on the floor. Honey takes more time to spill and spread out, but water spills and spreads faster. This is because honey's viscosity is more than water's.

Definition

Viscosity is the property of a fluid (liquid or gas) to oppose its flow. 

Why does Viscosity exist ?

There are a lot of molecules in the fluid. These molecules interact with one another. If the molecular interaction inside the fluid results in low internal friction, the viscosity is low and the fluid can flow easily (like water). If the interactions lead to high internal friction, the viscosity is large, and the fluid cannot flow easily (like honey). 

Figure 1

Figure 1

Consider a small amount of oil in a tumbler. Shaking the tumbler leads to disturbance and causes the oil to move. 

Consider a layer of a liquid as shown in figure 1. Let us assume a force 'F' is acting on the surface. The upper layer is moving with a velocity 'v'. And the lower layer is at rest (v=0). Figure 2 represents the same layer of the liquid in 3D which has height 'd' and surface area 'A'.

Figure 2

Figure 2

Image

The force is directly proportional to the velocity, surface area, and inversely proportional to the distance (height). The proportionality constant in this case is the viscosity of the fluid (represented by Greek letter η).

The formula can be written as -

Image

There are various units to viscosity. The SI unit of viscosity can be deduced using the above equation as shown.

There are various units to viscosity. The SI unit of viscosity can be deduced using the above equation as shown.

 

 The SI unit of Viscosity is Pa.s (Pascal second). Other most commonly used units of viscosity include P and centipoise (cP).

 

Conversions - 1 Pa.s = 10 P = 1000 cP

Viscosity is temperature dependent!

Viscosity of the fluids vary when there is a rise or fall in the temperature. With an increase in temperature, the viscosity of gases and liquids behaves differently.

In liquids, increasing the temperature causes a decrease in the viscosity. This is because the increased temperature gives thermal energy to the liquid molecules and thus causing them to move easily.

In gases, an increased temperature gives thermal energy to the gases and causes the molecules to move more freely. This random behavior causes a lot of collisions among the gas molecules and increase in the viscosity.

Remember

Viscosity is the resistance of a fluid to its flow

Viscosity is due to the inter-molecular interactions in the fluid

Viscosity is measured in units like - Pascal second, poise, and centipoise

Viscosity of liquids decreases when temperature is increased

Viscosity of gases increases when temperature is increased

Sources

    • https://www.princeton.edu/~gasdyn/Research/T-C_Research_Folder/Viscosity_def.html#:~:text=Viscosity%20is%20a%20measure%20of%20a%20fluid's%20resistance%20to%20flow.&text= A%20fluid with%20large%20viscosity%20resists,when%20it%20is%20in%20motion.
    • https://physics.info/viscosity/
    • https://www.rheosense.com/what-is-viscosity
    • https://en.wikipedia.org/wiki/Viscosity

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