6.4.3. Streaklines

Try these first

1. 1.

   Define streamlines in your own words.

   Hint

   Think about how streamlines reflect velocity.

2. 2.

   What does a pathline represent?

   Hint

   Consider particles' movement in a flow.

3. 3.

   What is a streamline in fluid dynamics?

   • A line representing particle history
   • A line tangent to the velocity vector
   • The path of a fluid particle over time

   Hint

   Think of direction and tangents.

4. 4.

   True or False: In unsteady flow, streamlines and pathlines are the same.

   • True
   • False

   Hint

   Consider how flow characteristics change over time.

5. 5.

   Given a steady flow in a pipe, trace a fluid particle's path and discuss the relationship between its pathline and the streamlines observed.

   Hint

   Consider how steady flow characteristics minimize changes.

6. 6.

   If a dye is released in a turbulent flow, describe how the resulting streakline would differ from pathlines in a steady flow scenario.

   Hint

   Reflect on the unpredictable nature of turbulent flow compared to steady conditions.