Now we will go ahead to see the concept of power transmission through pipes, efficiency of power transmission and we will also find here the condition for maximum transmission of power, in the subject of fluid mechanics, with the help of this post.

### Power transmission through pipes

Power is transmitted through pipes by flowing water or other liquids flowing through them. Power transmitted through pipes will be dependent over the following factors as mentioned here.
• Weight of the liquid flowing through the pipe
• Total head available at the end of the pipe

Now we will consider a tank with which a pipe AB is connected. Let us consider the following terms from figure.
L = Length of the pipe
D = Diameter of the pipe
H = Total head available at the inlet of the pipe
V= Velocity of flow in pipe
hf = Loss of head due to friction
f = Co-efficient of friction

Power transmitted at the outlet of the pipe will be determined with the help of following formula as mentioned here.

### Efficiency of power transmission

Efficiency of power transmission will be determined with the help of following formula as mentioned here.

### Condition for maximum transmission of power

Now we will find here the condition for maximum transmission of power and it could be secured by differentiating the equation of power transmitted at the outlet of the pipe.

Above expression is the condition of maximum transmission of power. We can conclude from above equation that power transmitted through a pipe will be maximum when the head loss due to friction will be one-third of the total head at inlet.

### Maximum efficiency of transmission of power

As we have already secured the equation of efficiency of power transmission through pipe and it is as mentioned here.

#### η = (H- hf)/H

Now we will use the value of hf in above equation to secure the maximum efficiency of transmission of power and we have following result as mentioned here.

η = (H- hf)/H
η = (H- H/3)/H

#### η = 66.7 %

Further we will go ahead to find out the concept of flow through nozzlesin the subject of fluid mechanics, with the help of our next post.

Do you have any suggestions? Please write in comment box.

### Reference:

Fluid mechanics, By R. K. Bansal

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