2.2. Design Problems in Fluid Mechanics

Try these first

1. 1.

   What is the equation for head loss in a pipe using Darcy-Weisbach?

   Hint

   Think about the factors influencing energy loss.

2. 2.

   What does the friction factor depend on?

   Hint

   Recall the acronym R-F-V-L.

3. 3.

   What is the purpose of the Darcy-Weisbach equation?

   • To calculate pressure loss
   • To determine velocity
   • To calculate head loss due to friction

   Hint

   Think about what you lose energy to in a pipe.

4. 4.

   True or False: Minor losses in a fluid system can often be ignored in calculations.

   • True
   • False

   Hint

   Recall how fittings and bends add up in head loss.

5. 5.

   A pipe system has total lengths of 1500 m and 1000 m of two sections with diameters of 0.3 m and 0.15 m respectively. Calculate the total head loss if the first section has a friction factor of 0.03 and the second 0.04, considering a fluid velocity of 3 m/s.

   Hint

   Break it down by calculating head losses for each section before combining them.

6. 6.

   Design a pump for a system that needs to lift water over 45 meters through a pipe with a total head loss of 20 meters. How would you calculate the required horsepower considering efficiency?

   Hint

   Don’t forget to factor in efficiency and any head losses!