15.2.3. Applications of Fluid Mechanics

Try these first

1. 1.

   Define a control volume.

   Hint

   Think about areas around structures or paths where fluids move.

2. 2.

   What does the conservation of mass principle state?

   Hint

   Consider how materials in a closed jar behave.

3. 3.

   What does the conservation of mass state?

   • Mass can be created
   • Mass can be destroyed
   • Mass is conserved

   Hint

   Think about how mass behaves in a closed environment.

4. 4.

   Is the Reynolds Transport Theorem applicable to both fixed and moving control volumes?

   • True
   • False

   Hint

   Consider how different volumes can be analyzed.

5. 5.

   Calculate the mass flow rate of water flowing through a pipe of diameter 0.1m at a velocity of 3 m/s. Assume the density of water is 1000 kg/m³.

   Hint

   Firstly, work out the area of the pipe cross-section.

6. 6.

   If a ship is moving through water at 5 m/s while the water is also flowing past it at 2 m/s, find the relative velocity of the water with respect to the ship.

   Hint

   Remember to consider which direction is positive in your calculations.