If a hose has a flow rate of 50 GPM with a friction loss of 2 PSI, what will the friction loss be at 200 GPM?

To understand why the friction loss at 200 GPM is calculated to be 32 PSI, it's important to recognize how friction loss in a hose increases with flow rate.

Friction loss is proportional to the square of the flow rate in the hose. This relationship means that if you double the flow rate, the friction loss will increase by a factor of four (since (2^2 = 4)).

In this scenario, the initial flow rate is 50 GPM with a friction loss of 2 PSI. If the flow rate increases to 200 GPM, which is four times the initial rate (200 GPM is four times 50 GPM), we must square this factor to find the corresponding friction loss. Therefore, the friction loss will increase by four times the original 2 PSI.

Calculating this gives:

• Initial friction loss at 50 GPM: 2 PSI

• Future friction loss at 200 GPM: (2 PSI \times 4 = 8 PSI)

However, we need to further analyze what happens as the flow rate continues to rise. If we instead look at the increase in flow from the starting point, it is more accurately seen as follow:

To establish a more