5.4.2. Two-Dimensional Coordinate Systems

Try these first

1. 1.

   What is a stream function and how does it relate to fluid flow?

   Hint

   Think about the paths followed by fluid particles.

2. 2.

   Define mass conservation in your own words.

   Hint

   Consider the closed system scenario.

3. 3.

   What is the role of stream functions in fluid mechanics?

   • To visualize fluid flow
   • To complicate fluid analysis
   • To describe only incompressible flows

   Hint

   Think about their fundamental purpose.

4. 4.

   Is it true or false that mass conservation states that mass can be created in a closed system?

   • True
   • False

   Hint

   Recall the basic principle of closed systems.

5. 5.

   A fluid flows around a building modeled by a simplified square shape. Using stream functions, derive the velocity components along the edges.

   Hint

   Consider the geometry of the problem.

6. 6.

   In a hypothetical scenario, a rotating cylinder is placed in a fluid. Using stream functions, explain how you would analyze the flow field.

   Hint

   Think about how boundary conditions affect the flow.