4.1.2. Mass Conservation Equation - II

Try these first

1. 1.

   What is a control volume in fluid mechanics?

   Hint

   Think about a box containing fluid.

2. 2.

   Define divergence in the context of mass flow.

   Hint

   Relate to sources and sinks of fluid.

3. 3.

   What does the continuity equation represent in fluid dynamics?

   • Energy conservation
   • Mass conservation
   • Momentum conservation

   Hint

   Think about what is conserved within a flowing fluid.

4. 4.

   Is divergence equal to zero for steady incompressible flow?

   • True
   • False

   Hint

   Remember what incompressible means for density.

5. 5.

   Consider a tank where water is flowing in and out. If the inlet flow rate is 5 L/min and the outlet flow rate is 3 L/min, determine the change in water volume in the tank after 10 minutes.

   Hint

   Remember to calculate the net inflow over time.

6. 6.

   A piston compresses a gas in a cylinder. The initial volume is 10L, and the final volume is 2L. If the initial density is 1.2 kg/m³, calculate the new density assuming mass is conserved.

   Hint

   Use the mass conservation principle to find the new density.