5.2.2. Fluid Mechanics Lab Problems

Try these first

1. 1.

   Define what a stream function is in fluid mechanics.

   Hint

   Consider its role in simplifying equations.

2. 2.

   What does CFD stand for?

   Hint

   Think about numerical analysis in fluid mechanics.

3. 3.

   What is the primary purpose of a stream function?

   • To visualize flow patterns
   • To calculate pressure changes
   • To determine temperature gradients

   Hint

   Think about what stream functions are used for.

4. 4.

   True or False: Velocity magnitudes do not affect pressure gradients in fluid flow.

   • True
   • False

   Hint

   Recall the relationship between velocity and pressure.

5. 5.

   Using the principles of stream functions, derive the velocity components from the stream function given by psi = xy^2.

   Hint

   Recall the relationship between stream functions and velocity.

6. 6.

   In a simulation of airflow around a building, the streamlines converge at a certain point. Discuss the implications for pressure and potential vortex formation.

   Hint

   Think about Bernoulli's principle and its connection to streamline behavior.