6.4.2. Pathlines

Try these first

1. 1.

   Define what a streamline is.

   Hint

   Think about the direction in which water flows.

2. 2.

   What does a pathline represent?

   Hint

   Consider the path taken by a leaf floating down a river.

3. 3.

   What is a streamline?

   • A type of fluid
   • A line representing direction of flow
   • The path of a fluid particle

   Hint

   Recall what represents fluid direction.

4. 4.

   True or False: Pathlines and streamlines are always the same.

   • True
   • False

   Hint

   Consider how time impacts their definition.

5. 5.

   Design a simple experiment to visualize streaklines in flowing water. Describe the setup and expected observations.

   Hint

   Consider where you place the dye.

6. 6.

   Given a complex shape, such as a cylinder in a water flow, describe how to experimentally derive streamlines using simple tools.

   Hint

   Think about how to visualize patterns and ensure optimal visibility.