Given a velocity field as V(x, y, z) = axî – ayĵ With units of velocity in m/sec; x and y in meters; and the constant coefficient a = 0.1 sec-. a) Determine the equation for the streamline passing through the point (x, y, 0) = (2, 8, 0). %3D b) Determine the velocity of a particle at the point (2, 8, 0). c) If we mark the particle passing through the point (Xo, Yo, 0) at to = 0, determine the location of the particle at time t = 20 sec. %3D

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Given a velocity field as
V(x, y, z) = axî – ayĵ
%3D
With units of velocity in m/sec; x and y in meters; and the constant
coefficient a = 0.1 sec.
a) Determine the equation for the streamline passing through the point
(x, y, 0) = (2, 8, 0).
b) Determine the velocity of a particle at the point (2, 8, 0).
c) If we mark the particle passing through the point (xo, Yo, 0) at to = 0,
determine the location of the particle at time t = 20 sec.
d) Show that the equation of the particle path (the pathline) matches the
equation of the streamline.
Transcribed Image Text:Given a velocity field as V(x, y, z) = axî – ayĵ %3D With units of velocity in m/sec; x and y in meters; and the constant coefficient a = 0.1 sec. a) Determine the equation for the streamline passing through the point (x, y, 0) = (2, 8, 0). b) Determine the velocity of a particle at the point (2, 8, 0). c) If we mark the particle passing through the point (xo, Yo, 0) at to = 0, determine the location of the particle at time t = 20 sec. d) Show that the equation of the particle path (the pathline) matches the equation of the streamline.
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