19.4.1. Momentum Equations and Control Volumes

Try these first

1. 1.

   What is a stress tensor?

   Hint

   Think about force per area as a concept.

2. 2.

   Define 'control volume' in fluid mechanics.

   Hint

   Consider it as a theoretical space where we observe fluids.

3. 3.

   What does a stress tensor represent?

   • Force per unit volume
   • Force per unit area
   • Velocity per unit area

   Hint

   Remember what stress means in fluid dynamics.

4. 4.

   True or False: Control volumes only include surface forces.

   • True
   • False

   Hint

   What types of forces do we analyze in control volumes?

5. 5.

   A tank has an outlet pipe discharging water at a specific velocity. Calculate the momentum flux at the outlet considering velocity distribution is uniform.

   Hint

   What do you know about flow rates?

6. 6.

   Given a fluid with varying densities and a changing velocity profile, derive the forces acting on the control volume.

   Hint

   Consider the impact of gravity and pressure distribution.