2.2.3. Pumping Requirements and Energy Losses

Try these first

1. 1.

   What is a friction factor?

   Hint

   Think about how friction affects motion in general.

2. 2.

   What is the purpose of the Darcy-Weisbach equation?

   Hint

   It relates energy loss to friction.

3. 3.

   What does the Darcy-Weisbach equation calculate?

   • Pressure Drop
   • Head Loss
   • Velocity

   Hint

   Remember what type of energy is lost in flow.

4. 4.

   True or False: The entry loss coefficient is always assumed to be 1.

   • True
   • False

   Hint

   Consider what happens when fluid enters a pipe.

5. 5.

   A pipe system with a length of 1500 m and diameter of 0.10 m has a friction factor of 0.045. If the flow velocity is 3 m/s, calculate the head loss due exclusively to friction.

   Hint

   Keep units consistent and pay attention to decimal placements.

6. 6.

   Design a pump system for a pipe that connects two reservoirs 40 m apart in elevation with a required flow rate of 12 L/s. The pipe loses 5 m due to fittings and has a calculated head of 10 m due to friction. What horsepower is required?

   Hint

   Break down the components of elevation, fittings, and friction carefully.