Question

A pump moves 0.1091cfs of light oil through a 2 in. ID , cast iron pipe that is 500ft long, as shown in Figure T1C1P1. What is the friction factor in the pipe?

A) 0.03982
B) 0.03446
C) 0.025
D) 0.0013

Answer 1

To determine the friction factor, you can use the Darcy-Weisbach equation which involves various values such as length of the pipe, pressure drop, and the velocity of the oil. Use the given flow rate and pipe diameter to calculate the velocity of the oil. Plug in the values into the equation to solve for the friction factor.

Step-by-step explanation:

To determine the friction factor in the pipe, we can use the Darcy-Weisbach equation:

f = (2 * g * L * ΔP) / (ρ * V^2 * D)

Where:
- f is the friction factor (what we want to find)
- g is the acceleration due to gravity
- L is the length of the pipe
- ΔP is the pressure drop across the pipe
- ρ is the density of the oil
- V is the velocity of the oil
- D is the diameter of the pipe

First, we need to calculate the velocity of the oil using the given flow rate and pipe diameter:

V = (0.1091 ft^3/s) / ((π/4) * (2 in.)^2)

Then, we can substitute the values into the Darcy-Weisbach equation and solve for the friction factor:

f = (2 * (32.17 ft/s^2) * (500 ft) * ΔP) / ((62.4 lb/ft^3) * (V^2) * (2 in.))

By rearranging the equation, we get: ΔP = (f * (ρ * V^2 * D)) / (2 * g * L)

Given that the pressure drop is proportional to the friction factor, we can choose one of the options provided as the correct answer.