1. A flow in the x-y plane is given by the following velocity field: u-3 and v=6m/s for 0

Elements Of Electromagnetics
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A flow in the x-y plane is defined by the velocity field where \( u = 3 \) m/s and \( v = 6 \) m/s for \( 0 < t < 20 \) s; \( u = -4 \) m/s and \( v = 0 \) m/s for \( 20 < t < 40 \) s. Dye is released at the origin (\( x = y = 0 \)) at \( t = 0 \).

**(a)** Draw the pathline at \( t = 30 \) s for two particles released from the origin—one at \( t = 0 \) and the other at \( t = 20 \) s.

**(b)** On the same graph, draw the streamlines at \( t = 10 \) s and \( t = 30 \) s.
Transcribed Image Text:A flow in the x-y plane is defined by the velocity field where \( u = 3 \) m/s and \( v = 6 \) m/s for \( 0 < t < 20 \) s; \( u = -4 \) m/s and \( v = 0 \) m/s for \( 20 < t < 40 \) s. Dye is released at the origin (\( x = y = 0 \)) at \( t = 0 \). **(a)** Draw the pathline at \( t = 30 \) s for two particles released from the origin—one at \( t = 0 \) and the other at \( t = 20 \) s. **(b)** On the same graph, draw the streamlines at \( t = 10 \) s and \( t = 30 \) s.
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