4.2. Upcoming Topics

Try these first

1. 1.

   What is the Reynolds Transport Theorem?

   Hint

   Think about what properties it connects.

2. 2.

   Define the continuity equation.

   Hint

   Consider the mass conservation principle.

3. 3.

   What does the Reynolds Transport Theorem relate?

   • Change in system properties
   • Viscosity of liquids
   • Thermal properties of gases

   Hint

   Consider the broader applications in fluid analysis.

4. 4.

   True or False: The continuity equation can be simplified for steady, incompressible flows.

   • True
   • False

   Hint

   Recall the assumptions we make for incompressible flows.

5. 5.

   A tank is filled with water at a rate of 100 liters per minute and has an outlet flowing at 30 liters per minute. Calculate the height drop in the tank over the next 10 minutes if the cross-sectional area of the tank is 2 square meters.

   Hint

   Think about calculating the volume change and then converting that to height.

6. 6.

   Water jets from a hose at 2 m/s and strikes a wall. If the cross-sectional area of the hose is 0.01 m², calculate the horizontal force applied to the wall.

   Hint

   Identify the initial and final velocities to compute the change.