19.4. Reynolds Transport Theorem

Try these first

1. 1.

   What does a stress tensor represent?

   Hint

   Think about forces present at a point.

2. 2.

   Define a control volume in fluid mechanics.

   Hint

   What space do we observe fluid behavior in?

3. 3.

   What does RTT connect in fluid systems?

   • Change in temperature and pressure
   • Change in momentum and net forces
   • Volume of fluid and surface area

   Hint

   Think about what forces influence movement.

4. 4.

   True or False: A stress tensor only includes normal stress components.

   • True
   • False

   Hint

   What do shear components serve to represent?

5. 5.

   A fluid flows through a variable area duct. Define an appropriate control volume and calculate the net force acting on the fluid using RTT.

   Hint

   Choose entry and exit areas carefully; account for velocity changes in your integral.

6. 6.

   Using RTT, analyze how neglecting atmospheric pressure will simplify calculations for a free discharge from a tank.

   Hint

   Consider how pressures balance out in all directions during discharge.