Fluid Flow Viscosity

Viscosity is the property of fluid which opposes the flow of it. Generally fluid acts like different set of layers and there is relative motion between them. During that process it opposes the flow of fluid which attributes to viscous force.

The resistance to fluid motion is like an internal friction analogous to friction when a solid moves on a surface. It is called viscosity. This force exists when there is relative motion between layers of the liquid.

Let us consider a fluid like oil enclosed between two glass plates as shown in figure a.The bottom plate is fixed while the top plate is moved with a constant velocity v relative to the fixed plate. If oil is replaced by honey, a greater force is required to move the plate with the same velocity. Thus honey is more viscous than oil.

The fluid in contact with a surface has the same velocity as that of the surfaces. Hence, the layer of the liquid in contact with top surface moves with a velocity v and the layer of the liquid in contact with the fixed surface is stationary. The velocities of layers increase uniformly from bottom (zero velocity) to the top layer (velocity v). For any layer of liquid, its upper layer pulls it forward while lower layer pulls it backward.

This results in force between the layers. This type of flow is known as laminar. The layers of liquid slide over one another as the pages of a book do when it is placed flat on a table and a horizontal force is applied to the top cover. When a fluid is flowing in a pipe or a tube, then velocity of the liquid layer along the axis of the tube is maximum and decreases gradually as we move towards the walls where it becomes zero, figure b. The velocity on a cylindrical surface in a tube is constant.


Viscous force can be defined as the force acting per unit area of fluid moving with unit velocity gradient.

Hydrostatics topics :


Problems on Bernoulli's theorem and Its Applications


Dynamic lift
Venturi meter
Torricelli's theorem
Blood flow and heart attack
Stream line flow
What is pressure ?
Pressure variation with depth
Pascal's Law


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