18.2. Introduction to Conservation of Momentum

Try these first

1. 1.

   Define the Reynolds Transport Theorem.

   Hint

   Think about how flow dynamics change over time.

2. 2.

   What two types of control volumes are commonly analyzed?

   Hint

   Consider whether the volume is stationary or in motion.

3. 3.

   What does the Reynolds transport theorem relate?

   • Mass to momentum
   • Time rate of change to flow
   • Density to viscosity

   Hint

   Think about what happens over time.

4. 4.

   True or False: Conservation of momentum applies to both fixed and moving control volumes.

   • True
   • False

   Hint

   Consider whether motion impacts the analysis.

5. 5.

   A water storage tank has two outlets and is filled from a reservoir. If the mass flow rates are consistently maintained, how would you analyze the steady-state condition using conservation of momentum? What assumptions would you make?

   Hint

   Think about balancing inflows and outflows.

6. 6.

   How would you approach the design of a hydropower system considering conservation of momentum? Identify key variables.

   Hint

   Consider the relationship between flow speed, turbine efficiency, and energy output.