5.. Fluid Mechanics

Try these first

1. 1.

   Define a stream function. What is its purpose?

   Hint

   Think about how it relates to velocity.

2. 2.

   What does CFD stand for?

   Hint

   It involves computing fluid flows.

3. 3.

   What is the primary benefit of using stream functions?

   • Simplifies mathematical equations
   • Increases fluid pressure
   • Decreases fluid velocity

   Hint

   Think about the stream function's purpose.

4. 4.

   True or False: Streamlines can cross one another in a fluid flow.

   • True
   • False

   Hint

   What happens if multiple streamlines intersect?

5. 5.

   A stream function is given by Ψ(x,y) = x^2 + y^2. Determine the velocity components u and v at the point (1,1).

   Hint

   Use partial derivatives to find u and v.

6. 6.

   Describe how the flow around a wing of an aircraft can be modeled using stream functions. What assumptions would need to be made?

   Hint

   Think about the nature of airflow and the Bernoulli principle.