Bernoulli's Principle

Will you be surprised to know that cycling across the slopes and centrifugal pumping principle follow the same rule. Well, it is ..

Just like how you cycle across the slopes. While riding upward, you notice that you spend lots of your energy but the cycle rides slowly. This is the phase of an increase in potential energy. Then you reach the top with the highest potential energy. 

Whereas while riding downward, your potential energy is spent and you notice that you right faster with less or no effort is spent. This is the phase of kinetic energy. 

This phenomenon is called of energy transforming from one phase to the other is called the law of conservation of energy. 

Bernoulli's Principle

Bernoulli's principle is derived from the law of conservation of energy i.e., pressure energy across the system is a constant regardless of the change of the potential energy or kinetic energy. 

Centrifugal pumps work on the basis of this principle i.e, decrease in kinetic energy while the fluid escapes from the impeller are compensated by the addition of potential energy by the casing. 

This is expressed in the formula of total head, = > 

𝐻=𝑣^2/2𝑔 + ℎ = constant

𝑣^2/2𝑔=𝑣𝑒𝑙𝑜𝑐𝑖𝑡𝑦 ℎ𝑒𝑎𝑑

ℎ=ℎ𝑦𝑑𝑟𝑎𝑢𝑙𝑖𝑐 ℎ𝑒𝑎𝑑⇒𝑍+ 𝑝/𝜌𝑔

Z= elevation head

𝑝/𝜌𝑔=𝑝𝑟𝑒𝑠𝑠𝑢𝑟𝑒 ℎ𝑒𝑎𝑑

If you would like to listen to this segment, the above link is for you to understand the concept a bit better. 

In the next segment, we are going to see about the total differential head and how it is calculated.

Image Credits:

 1)     Shutterstock (Cycling across the slopes)

2)     All other  photos are licensed under CC by NC 2.0