This lesson covers the concepts of fluid element trajectories, including streamlines, path lines, and streak lines. It delves into the angular velocity and vorticity of a fluid element, explaining how these aspects are influenced by the fluid flow field. The lesson uses an example problem to illustrate how to determine the equation of a streamline and path line. It also discusses the concept of a streak line, which is traced out by a neutrally buoyant marker fluid continuously injected into a flow field. The lesson concludes with a discussion on the angular velocity and vorticity of a fluid element.

- Streamlines, path lines, and streak lines are different ways to represent fluid element trajectories.
- Angular velocity and vorticity of a fluid element are influenced by the fluid flow field.
- A path line is traced by a given fluid particle as it moves through the flow field.
- A streak line is traced out by a neutrally buoyant marker fluid continuously injected into a flow field.
- The angular velocity of a fluid element can be determined by the arithmetic average of the angular velocities of the lines AB and AC.

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