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In fluid dynamics, streamlines are considered to be independent of time, while streaklines represent
time-dependent vector fields. Imagine a non-stationary flow, i.e. the
vector field representing the flow changes at each delta-t. A streamline
would be computed/displayed throughout the spatial field, but just at a
snapshot in time. A streakline, on the other hand, would begin at some
starting position (in space & time) and would vary from a streamline when
the next delta-t (and accompanying vector field) was known, then again at
the next delta-t, etc.
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