Discussion
Identify the visualization method that shows a PATHLINE in an unsteady flow, assuming that the camera covers the required field of view.
Answer: D
A pathline is shown by injecting a blob of dye and taking a long-exposure picture.
A pathline is the trajectory traced out by one fluid particle over time. Marking a small, single parcel of fluid and recording where it goes over a period, which a long exposure does, captures exactly that track.
Continuous injection with a snapshot shows a streakline, the locus of all particles that passed through the injection point. A continuous injection with long exposure smears that streakline over time. A blob photographed in a single snapshot shows only the blob's position at one instant, not its path. In steady flow these lines coincide, but in unsteady flow they differ.
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