6.3.2. Flow Patterns

Try these first

1. 1.

   Define a velocity field in the context of fluid mechanics.

   Hint

   Think about how velocity changes across different points.

2. 2.

   What is a streamline?

   Hint

   Remember, it reflects the direction of flow.

3. 3.

   What comprises a velocity field in fluid mechanics?

   • Pressure and density
   • Velocity components u
   • v
   • w
   • Flow rate

   Hint

   Focus on the definitions you’ve learned!

4. 4.

   True or False: A streamline represents the actual path taken by fluid particles.

   • True
   • False

   Hint

   Review the definitions of streamline and pathline.

5. 5.

   Design an experiment to measure the pressure gradient in a fluid flow over a surface. What equipment would you use, and what parameters would you measure?

   Hint

   Consider how each measurement helps analyze the flow.

6. 6.

   Given a fixed point in a fluid flow, determine how you would visualize both the pathlines and streaklines from dye injections.

   Hint

   Think about how both visualizations reveal different aspects of flow behavior.