3.1.1. Mass Conservation Equation- I

Try these first

1. 1.

   What is a control volume and why is it important in fluid mechanics?

   Hint

   Consider what boundaries a control volume has.

2. 2.

   State the mass conservation principle.

   Hint

   Think about how mass can only move from one place to another.

3. 3.

   What principle does the mass conservation equation state?

   • Mass can be created
   • Mass can be destroyed
   • Mass conservation

   Hint

   Reflect on the consistency of mass in closed systems.

4. 4.

   The differential approach looks at properties at which level?

   • True
   • False

   Hint

   Consider how analyses are more detailed in this approach.

5. 5.

   Calculate the mass flow rate of water through a pipe with a cross-sectional area of 0.2 m², flowing at a velocity of 2 m/s. Assume density of water is 1000 kg/m³.

   Hint

   Use the formula for mass flow rate, considering density and flow characteristics.

6. 6.

   Using the divergence theorem, show how you would set up an equation for a volume integral over a cylinder with radius r and height h.

   Hint

   Incorporate the geometry of a cylinder into your volume and surface integrals.