Hi Just want to know if water from a 20mm Polyethylene pipe under pressure of 3 bars passes to a 25mm polyethylene will cause a slight increase in volume output with a little drop in pressure? If yes then to obtain this benefit , up to whay size can we go for the second pipe size ? Does this depend on the compression of the water? How much can water be compressed inside a pipe under 3 bars..... thank you for an answer.

I think you are missing something. If this is a flow problem ("passes to"), then what you need to worry about is the change in velocity in the second pipe. Water does not expand, the volume flow rate changes with pipe size and pressure.

Have your seen Bernoulli's equation in your text? I invite you to inspect it.

To determine if water passing from a 20mm Polyethylene (PE) pipe to a 25mm PE pipe will cause a change in volume output and pressure, we need to consider a few factors.

Firstly, the size of the pipe affects the flow rate of water. In general, a larger diameter pipe allows for a higher flow rate. So, transitioning from a 20mm to a 25mm pipe could result in a slight increase in volume output.

Secondly, pressure drop occurs when water flows through a pipe system due to friction losses. As the water passes through the pipe, it encounters resistance from the pipe walls, fittings, and any obstructions. This resistance causes a drop in pressure along the pipe length. The pressure drop is influenced by factors like pipe length, diameter, and flow rate.

In this case, with a larger diameter pipe (25mm), there may be a slight decrease in pressure drop compared to the 20mm pipe. This is because a larger diameter pipe has less frictional resistance and allows for smoother flow. However, the change in pressure drop will likely be minimal.

The specific amount of pressure drop and change in volume output can be calculated using hydraulic formulas, such as the Darcy-Weisbach equation or the Hazen-Williams equation. These equations take into account factors like pipe diameter, length, flow rate, and roughness of the pipe wall.

Regarding the compression of water inside a pipe under 3 bars of pressure, it's important to note that water is generally considered incompressible. This means that its volume is not significantly affected by changes in pressure. Therefore, the compression of water within the pipe will likely be negligible.

To determine the maximum size for the second pipe, it would be best to consult with a hydraulic engineer or refer to applicable industry standards and guidelines. They can consider factors such as flow requirements, pressure limitations, and other system considerations to determine the appropriate pipe size.

Remember that this response provides a general explanation, and for accurate and precise calculations, it is recommended to consult a professional engineer or use specialized software for hydraulic analysis.