When calculating the total pressure loss in 600 feet of 4-inch hose flowing 1,000 gpm, what is the result?

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When calculating the total pressure loss in a given length of hose for a specific flow rate, it is essential to consider factors such as hose diameter, flow rate, and friction loss. In this situation, we have 600 feet of 4-inch hose flowing at 1,000 gallons per minute (gpm).

The friction loss in hose is typically determined using standard friction loss coefficients, which can vary based on diameter and flow rate. For a 4-inch diameter hose, the common formula for friction loss in hoses (in psi) can be expressed as:

Friction Loss (psi) = C × (Q^2) × (L / 100)

Where:

  • C is the friction loss coefficient for the specific diameter (for 4-inch hose, C usually is around 0.2).

  • Q is the flow rate in hundreds of gallons per minute.

  • L is the length of the hose in feet.

Using the parameters provided:

  1. Convert the flow rate to hundreds of gallons per minute: 1,000 gpm = 10.

  2. Plugging into the formula:

Friction Loss = 0.2 × (10^2) × (600 / 100)

Friction

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