5.1.1. Lec 26: Stream Function

Try these first

1. 1.

   What is a stream function?

   Hint

   Think about its role in simplifying calculations in fluid mechanics.

2. 2.

   How do streamlines relate to fluid motion?

   Hint

   Consider their behavior in steady flow conditions.

3. 3.

   What do stream functions help visualize in fluid dynamics?

   • Pressure Zones
   • Flow Patterns
   • Temperature Distribution

   Hint

   Consider the paths taken by fluid particles.

4. 4.

   True or False: Stream functions are only applicable for incompressible flows.

   • True
   • False

   Hint

   What about gases?

5. 5.

   A flow field is characterized by the stream function ψ = 3xy. Determine the velocity components U and V and check if the field is divergence free.

   Hint

   Use partial derivatives of the stream function.

6. 6.

   Given the stream function ψ = 12xy at a point (2,4), calculate the velocity field at this point.

   Hint

   Differentiate with respect to y for U and x for V and evaluate at the given point.