2. Consider the two-dimensional time-dependent velocity field u(x, t) = (sint, cost, 0), in the basis of Cartesian coordinates. a) Determine the streamlines passing through the point x = 0 at the times t = 0, π/2, π and 3π/2. b) Determine the paths of fluid particles passing through the point x = 0 at the same times, to = 0, π/2, 7 and 37/2. Hence, describe their motion. c) Find the streakline produced by tracer particles continuously released at the point Xo = 0 and find its position at t = 0, π/2, π and 3π/2. Hence describe its motion. =

Elements Of Electromagnetics
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2. Consider the two-dimensional time-dependent velocity field u(x, t) = (sint, cost, 0),
in the basis of Cartesian coordinates.
a) Determine the streamlines passing through the point x = 0 at the times t =
0, π/2, π and 3π/2.
b) Determine the paths of fluid particles passing through the point x = 0 at the
same times, to = 0, π/2, 7 and 37/2. Hence, describe their motion.
ㅠ
c) Find the streakline produced by tracer particles continuously released at the point
xo = 0 and find its position at t = 0, π/2, π and 37/2. Hence describe its motion.
Transcribed Image Text:2. Consider the two-dimensional time-dependent velocity field u(x, t) = (sint, cost, 0), in the basis of Cartesian coordinates. a) Determine the streamlines passing through the point x = 0 at the times t = 0, π/2, π and 3π/2. b) Determine the paths of fluid particles passing through the point x = 0 at the same times, to = 0, π/2, 7 and 37/2. Hence, describe their motion. ㅠ c) Find the streakline produced by tracer particles continuously released at the point xo = 0 and find its position at t = 0, π/2, π and 37/2. Hence describe its motion.
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