3.1. Momentum Equations in Fluid Flow

Try these first

1. 1.

   Define extensive properties in the context of fluid dynamics.

   Hint

   Think about properties that scale with the amount of fluid present.

2. 2.

   What is the Reynolds Transport Theorem used for?

   Hint

   Consider how we analyze properties of fluids in different volumes.

3. 3.

   What does the Reynolds transport theorem relate?

   • Changes in kinetic energy of fluid
   • Changes of extensive properties in a control volume
   • The pressure of fluid in a system

   Hint

   Remember what the theorem specifically analyzes in fluids.

4. 4.

   True or False: Intensive properties depend on the quantity of fluid.

   • True
   • False

   Hint

   Think about properties that stay the same regardless of how much fluid you have.

5. 5.

   Using the Reynolds transport theorem, derive and solve the momentum equation for a system where a fluid enters through one inlet and exits through two outlets.

   Hint

   Carefully denote inflow and outflow terms based on velocities and areas.

6. 6.

   Discuss the impact of varying the control volume size on the derived momentum equations. What mathematical shifts occur?

   Hint

   Think about how more or less fluid alters your calculus.