What is the total pressure loss (TPL) for a hose assembly with 1,000 feet of 5-inch supply line and two 100-foot sections of 1 1/2-inch handline flowing 150 GPM each?

To determine the total pressure loss (TPL) in the described hose assembly, both the friction loss in the supply line and the handlines need to be considered.

First, we can calculate the friction loss in the 1,000 feet of 5-inch supply line. Using a standard friction loss formula, the friction loss for a 5-inch hose flowing water can be approximated using the formula:

Friction Loss (in PSI) = (0.08 × Length (in feet) × Flow Rate (in GPM)²) ÷ Diameter (in inches)⁴.

Using the dimensions of the 5-inch line and a typical flow rate, assume the friction loss is relatively low due to the larger diameter allowing for a smoother flow of water.

Next, for the handlines, we focus on the two sections of 1 1/2-inch hose, each 100 feet long, flowing at 150 GPM. The same friction loss principles apply, but for the smaller hose diameter, leading to a higher friction loss. The friction loss for 1 1/2-inch hose can also be calculated using a similar formula.

Summing the individual pressure losses from both the supply line and each of the hand