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Theory & Procedure, Viscosity of a liquid - Stokes method Notes | Study Additional Documents & Tests for NEET - NEET

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Objective

To determine the coefficient of viscosity of a given viscous liquid by measuring terminal velocity of a given spherical body.

Theory

How do you define viscosity?

Viscosity is the property of a fluid by virtue of which an internal resistance comes into play when the liquid is in motion, and opposes the relative motion between its different layers. Thus, it is the resistance of a fluid to flow.

When liquid flows over flat surface, a backward viscous force acts tangentially to every layer. This force depends upon the area of the layer, velocity of the layer, and the distance of the layer from the surface. 

Theory & Procedure, Viscosity of a liquid - Stokes method Notes | Study Additional Documents & Tests for NEET - NEET

Theory & Procedure, Viscosity of a liquid - Stokes method Notes | Study Additional Documents & Tests for NEET - NEET

Where η is the coefficient of viscosity of the liquid.

Stoke’s Law

Stoke’s law was established by an English scientist Sir George G Stokes (1819-1903). 

When a spherical body moves down through an infinite column of highly viscous liquid, it drags the layer of the liquid in contact with it. As a result, the body experiences a retarding force. 

Then according to Stokes law, the viscous drag force, 

Theory & Procedure, Viscosity of a liquid - Stokes method Notes | Study Additional Documents & Tests for NEET - NEET ,

where,  r - Radius of the spherical body

v - Velocity of the spherical body 

It gives the relationship between retarding force and velocity. When viscous force plus buoyant force becomes equal to force due to gravity, the net force becomes zero. The sphere then descends with a constant terminal velocity (v t).

Now,
Theory & Procedure, Viscosity of a liquid - Stokes method Notes | Study Additional Documents & Tests for NEET - NEET
where,  
ρ - Density of the liquid
σ - Density of the spherical body    

Learning Outcomes

  • Students understand the behavior and properties of fluids
  • Students get the knowledge about viscosity of liquids.
  • Students understand the quantity, coefficient of viscosity and the various factors affecting its value.
  • Students get the concept of terminal velocity.

Materials Required

  • A long cylindrical glass jar
  • Transparent viscous fluid
  • Metre scale
  • Spherical ball
  • Screw gauge
  • Vernier calipers
  • Stop clock
  • Thread
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