The width of a pipe influences the flow of water. true or false

True

Explanation:

By width, we commonly mean the diameter of the pipe. Before, giving some logical examples we will look at the scientific proof of this fact. There was a physicist named Jean Leonard who experimented on fluid flow during the start of 19th century,  He deduced the results as  the flow rate is proportional to the fourth power of pipe radius,

His results can mathematically be expressed as :

Volume flow rate = π X pressure difference X pipe radius 4 X liquid viscosity / 8 X viscosity X pipe length.

Now let us take an example which shows how pipe diameter or radius (half of diameter) affect the flow of water.

Lets suppose we have a pipe that has radius of 2 inches and length of 6 and we want to calculate that what will be the the flow rate if we increase the length of pipe from 2 to 4 inches. When the length is constant, the radius has also got changed by 2 inches.

So, if we assume that temperature, pressure and length is constant and no external factor is affecting the water flow, then according to above equation  the flow rate will change by a factor of 24, or 16.

This shows that the width or radius influence flow rate of water.

Hope it help!

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