10.3.2. Streamlines and Potential Lines

Try these first

1. 1.

   Define a streamline and provide one example.

   Hint

   Think about the direction of fluid movement.

2. 2.

   What does it mean for a flow to be irrotational?

   Hint

   Consider how fluid behaves in a smooth motion.

3. 3.

   What is a streamline?

   Hint

   Think about what path a particle in the fluid would take.

4. 4.

   True or False: In irrotational flow, the velocity potential can be derived from the gradient of a scalar function.

   • True
   • False

   Hint

   Consider how potential flows are represented mathematically.

5. 5.

   Consider fluid flowing over a curved surface. Analyze how the presence of the wall affects the streamlines and potential function profiles.

   Hint

   Reflect on how speed and elevation potential are related in this context.

6. 6.

   Given a simple two-dimensional incompressible flow, derive the conditions under which the Navier-Stokes equations can simplify to Euler equations.

   Hint

   Focus on what makes a flow inviscid and how that affects terms in the equations.