GIVEN Water flowing from the oscillating slit shown in Fig. E4.3a produces a velocity field given by V = u sin[w(t - y/v)] + voj, where uo. o, and are constants. Thus, the y component of velocity remains constant (v = v) and the x component of velocity at y = 0 coincides with the velocity of the oscillating sprinkler head [u = 1₁ sin(ot) at y = 0]. FIND (a) Determine the streamline that passes through the origin at 1 = 0; at t = m/2w. (b) Determine the pathline of the particle that was at the ori- gin at t = 0; at 1 = 7/2w. (c) Discuss the shape of the streakline that passes through the origin.
GIVEN Water flowing from the oscillating slit shown in Fig. E4.3a produces a velocity field given by V = u sin[w(t - y/v)] + voj, where uo. o, and are constants. Thus, the y component of velocity remains constant (v = v) and the x component of velocity at y = 0 coincides with the velocity of the oscillating sprinkler head [u = 1₁ sin(ot) at y = 0]. FIND (a) Determine the streamline that passes through the origin at 1 = 0; at t = m/2w. (b) Determine the pathline of the particle that was at the ori- gin at t = 0; at 1 = 7/2w. (c) Discuss the shape of the streakline that passes through the origin.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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