1.4.1. Continuity Equations

Try these first

1. 1.

   Define the Continuity Equation.

   Hint

   Consider how mass cannot simply disappear in a system.

2. 2.

   What is a Velocity Defect?

   Hint

   Think about how the average is different from local measurements!

3. 3.

   What is the primary purpose of the Continuity Equation?

   • To define energy loss in fluid systems
   • To ensure mass conservation in fluid flow
   • To calculate velocity defects

   Hint

   Think about the core principle of mass in a flowing system.

4. 4.

   True or False: Minor losses are caused solely by the friction in the pipe.

   • True
   • False

   Hint

   Consider where energy might be lost aside from just the length of the pipe.

5. 5.

   A water flow through two parallel pipes, one with diameter 0.5m and the other 0.25m experiences a head loss of 5m in both. Calculate the flow rate through both if the friction factor is 0.01.

   Hint

   Use your derived formulas from energy losses!

6. 6.

   A piping system in series has an energy loss of 10m total, with three pipes of varying diameters and lengths. How do you distribute the losses based on diameter?

   Hint

   Keep in mind how loss scales with diameter change!