Eulerian

In an Eulerian description, we use space-time coordinates. We will want to find ,, ...

Example:

2D ideal stagnation point flow

Particle paths: Lines traced by the fluid particles. Particle paths can be found from solving:

Streamlines: Lines that are everywhere in the direction of the velocity field. Streamlines can be found from solving:

Various numerical and experimental methods produce streamlines naturally.

Streaklines: Lines of smoke coming out of smoke generators. Streaklines can be found by integrating the path lines for all the smoke coming out the generator.

Steady Flow: .For steady flow, pathlines, streamlines, and streaklines are all the same.

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