What Is Viscosity? Definition and Coefficient of Viscosity

Physics · Mechanical Properties Of Fluids · NEET

Viscosity is the internal friction of a fluid. When one layer of liquid slides over another, the layers pull on each other and resist the motion. The coefficient of viscosity (eta) measures how strong this resistance is: eta = shearing stress / strain rate. Memory hook: honey has HIGH viscosity (it flows slowly and sticks), water has LOW viscosity. More viscous means harder to pour.
Liquid between two plates: layers slide, viscosity resistsFixed bottom plate (v = 0)Top plate moves with speed v (force F, area A)Fv increases upwardl = gapeta = (F/A) / (v/l) = shear stress / strain rate
Oil between two plates: the bottom plate is fixed and the top moves with speed v. Layers slide over each other, speed rises from 0 (bottom) to v (top). Viscosity eta = shear stress (F/A) divided by strain rate (v/l).

Your doubts, answered

Is viscosity the same as friction?

It is very similar. Viscosity is like an internal friction inside a fluid. When a solid slides on a surface, friction resists it. In a fluid, different layers move at different speeds, and these layers rub against each other. This rubbing between fluid layers is viscosity. The big difference: solid friction does not depend much on speed, but viscous force depends on how fast the layers slide past each other (the strain rate).

Why is honey more viscous than water?

Honey has stronger forces between its molecules, so its layers hold on to each other more tightly. To make one layer slide over another, you need a bigger force. That is why honey pours slowly and water pours fast. In numbers, the coefficient of viscosity (eta) of honey is much larger than that of water. NCERT notes that thick liquids like coal tar, blood, and glycerine are more viscous than thin liquids like water and alcohol.

What does coefficient of viscosity mean in simple words?

It is a single number that tells you how thick or sticky a fluid is. Formally, eta = shearing stress divided by the strain rate (the rate at which layers slide). A large eta means the fluid strongly resists flow (honey, glycerine). A small eta means it flows easily (water). Its SI unit is the poiseuille (Pl), also written as pascal-second (Pa s) or N s per m squared.

Does viscosity depend on the speed of the fluid?

The coefficient of viscosity eta itself is a property of the fluid at a given temperature, so it does not change with speed for ordinary (Newtonian) fluids. But the viscous force DOES depend on speed. If the top layer moves faster, the velocity gradient increases, and the viscous force increases. So eta stays fixed, but the drag force grows with the speed difference between layers.

Is viscosity a force?

No. Viscosity is a property of the fluid, described by the number eta. The actual force is called the viscous force. Do not confuse the two. Viscosity (eta) tells you how sticky the fluid is; the viscous force is the actual pull that slows the layers down and depends on eta, the area, and the velocity gradient.

Why does viscosity of liquids decrease when heated?

When you heat a liquid, its molecules move faster and the attractive forces between them weaken. The layers can then slide over each other more easily, so eta drops. That is why warm honey pours faster than cold honey. Important trap: for GASES it is the opposite. The viscosity of a gas INCREASES with temperature. NCERT states this clearly.

⚠️ The NEET trap
Viscosity increases with temperature for all fluids.
For liquids, viscosity DECREASES as temperature rises; for gases, viscosity INCREASES with temperature.
🧠 Warm honey pours easily (liquid drops), but a hot gas resists more (gas rises). Remember the two go opposite ways.

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Frequently asked

What is the definition of viscosity?

Viscosity is the property of a fluid by which it resists the relative motion of its layers. It acts like internal friction between adjacent layers of the fluid that move at different speeds.

What is the formula for coefficient of viscosity?

eta = shearing stress / strain rate. In terms of the two-plate model, eta = (F/A) / (v/l), where F is the tangential force, A is the layer area, v is the speed of the top layer, and l is the separation between the plates.

What is the SI unit of coefficient of viscosity?

The SI unit is the poiseuille (Pl), which is the same as pascal-second (Pa s) or newton-second per square metre (N s per m squared). Its dimensional formula is [M L^-1 T^-1].

Which is more viscous, blood or water?

Blood is more viscous than water. NCERT points out that blood is thicker (more viscous) than water, which is one reason it flows more slowly through narrow vessels.

Does an ideal fluid have viscosity?

An ideal fluid is assumed to have zero viscosity. In reality no fluid has exactly zero viscosity, but treating a fluid as ideal (non-viscous) is a useful approximation, for example in deriving Bernoulli's equation.