3. Conclusion

Try these first

1. 1.

   Define the continuity equation in your own words.

   Hint

   Think about how changes in area affect flow.

2. 2.

   What is rotational flow?

   Hint

   Consider the angular momentum of the fluid particles.

3. 3.

   What does the continuity equation represent in fluid dynamics?

   • Conservation of mass
   • Energy conservation
   • Momentum conservation

   Hint

   Think about what happens to mass in flowing fluids.

4. 4.

   True or False: Irrotational flow means vorticity is present.

   • True
   • False

   Hint

   Consider what defines rotational behavior.

5. 5.

   A cylindrical tank is filled with water and has a pipe at the bottom with an area of 0.005 m². If the water height is 2m, calculate the velocity of water exiting the pipe.

   Hint

   Use conservation of mass and consider gravitational effects.

6. 6.

   Given a flow field described by the stream function ψ = x² - y², find the velocity components and assess whether the flow is rotational or irrotational.

   Hint

   Focus on partial derivatives and connections to vorticity.