6.4.1. Streamlines

Try these first

1. 1.

   What is a streamline?

   Hint

   Think about how fluid particles move at a given moment.

2. 2.

   What does a pathline represent?

   Hint

   Consider the journey of a single particle in the flow.

3. 3.

   What defines a streamline?

   • A line where flow speed is zero
   • A line tangent to the velocity vector
   • A path taken by fluid particles over time

   Hint

   Think about how fluid velocity is represented visually.

4. 4.

   True or False: Streaklines and pathlines are always the same in unsteady flow.

   • True
   • False

   Hint

   Consider what happens in changing flow conditions.

5. 5.

   Design an experiment to visualize streamlines in a fluid flow around an object of your choice.

   Hint

   Think about the type of object and how it disrupts flow.

6. 6.

   Calculate the pressure drop across a streamline if the velocity increases from 1 m/s to 3 m/s, using Bernoulli's principle.

   Hint

   Consider that density, ρ, is constant for incompressible flow.