1.4. Lecture-11

Try these first

1. 1.

   What does the continuity equation represent in fluid dynamics?

   Hint

   Think about what remains constant in a closed system.

2. 2.

   Define control volume in the context of fluid mechanics.

   Hint

   Consider it as a box or area where we track fluid movement.

3. 3.

   What does the Reynolds Transport Theorem help us derive?

   • Equations of energy
   • Conservation equations
   • Pressure equations

   Hint

   Think about what foundational principles it ties together.

4. 4.

   True or False: The continuity equation states that mass can be created or destroyed.

   • True
   • False

   Hint

   Reflect on the definition of mass conservation.

5. 5.

   A tank has a cross-sectional area of 4 m² and drains water at a rate of 0.1 m³/s. Calculate the time taken for the water level to drop from 3 m to 0 m.

   Hint

   Identify the volume of the water that needs to drain using height drop.

6. 6.

   Using energy considerations and Bernoulli’s principle, calculate the pressure drop in a horizontal pipe with a diameter of 10 cm carrying water at a velocity of 3 m/s.

   Hint

   Visualize pressure and velocity changes in various sections of the pipe.