20.6.1. Examples of Real-Life Problems

Try these first

1. 1.

   What is the definition of a control volume?

   Hint

   Think about how we isolate parts of the fluid for analysis.

2. 2.

   Name the two types of forces acting on a control volume.

   Hint

   Consider where these forces act in relation to the fluid.

3. 3.

   What is the momentum conservation principle?

   • It states that momentum can change over time
   • The total momentum remains constant in a closed system
   • Momentum is lost during fluid flow

   Hint

   Think of systems like closed containers.

4. 4.

   Reynolds Transport Theorem relates what two aspects?

   • True
   • False

   Hint

   Consider how we analyze flows in and out of control volumes.

5. 5.

   A water jet exits a nozzle with an internal diameter of 0.05m and a velocity of 10 m/s. Calculate the momentum flux and compare it to that of a jet with a diameter of 0.1m and a velocity of 5 m/s.

   Hint

   Use A = π(d/2)^2 for area calculation.

6. 6.

   Describe how the variation in pressure along a bridge pier affected by a flowing river can change the structural design of the pier. What calculations would be necessary?

   Hint

   Consider using CFD simulations to visualize these forces.