15.5. Conservation Principles in Fluid Mechanics

Try these first

1. 1.

   Name the three types of control volumes in fluid mechanics.

   Hint

   Think about how they behave with respect to time.

2. 2.

   What is the primary purpose of Reynolds transport theorem?

   Hint

   Remember how it acts as a bridge in fluid mechanics.

3. 3.

   What is the term for a volume through which fluid flows?

   • Fluid Volume
   • Control Volume
   • Dynamic Volume

   Hint

   Think about how it's used in equations.

4. 4.

   Is mass conserved in a closed control volume?

   • True
   • False

   Hint

   Consider how systems interact with external forces.

5. 5.

   Imagine a scenario where a cylindrical tank fills with water. Formulate the mass conservation equation for the tank considering inflow and outflow rates.

   Hint

   Think about how to relate volume flow rates to mass.

6. 6.

   A ship moves in water at a constant speed while fluid flows at varying speeds around it. How would you apply Reynolds transport theorem in this scenario?

   Hint

   Focus on how both the ship and fluid velocities interact.