Using the split flow method, what is the friction loss for a pumper supplying 122 gallons/min through three 2.5-inch lines that are 300 feet long to a Siamese connection?

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To understand the friction loss calculation in this scenario, it's essential to first determine how to approach the problem using the split flow method. When water is supplied through multiple lines, the overall friction loss is affected by both the flow through each individual line and the characteristics of the hoses being used.

In this question, the total flow being supplied is 122 gallons per minute (gpm) through three separate 2.5-inch hoses. To calculate the friction loss for one line, we can first determine the flow per line. Since the total flow is divided among three lines, each line carries approximately 40.67 gpm (122 gpm ÷ 3).

The friction loss for a 2.5-inch hose can often be estimated using standard formulas or charts that consider the flow rate in gallons per minute and the length of the hose. For a 2.5-inch line, the friction loss can be calculated using the common formula for friction loss:

Friction loss (in psi) = (0.2 × Q² × L) ÷ (d²)

Where:

  • Q = flow rate (in gpm)

  • L = length of the hose (in feet)

  • d = diameter of the hose (in inches)

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