Question 2: Converging duct flow is modeled by the steady, two-dimensional velocity field of Prob. 4-16. For the case in which Uo = 3.5 ft/s and b = 7.66 s', plot several streamlines from x = 0 ft to 6 ft and y = -2 ft to 2 ft. Be sure to show the direction of the streamlines. Show your work; if Excel is used, please submit the file along with your solution.

Elements Of Electromagnetics
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Publisher:Sadiku, Matthew N. O.
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Question 1:
4-16 Consider steady, incompressible, two-dimensional
flow through a converging duct (Fig. P4-16). A simple
approximate velocity field for this flow is
V = (u, v) = (U, + bx)i – byj
where U, is the horizontal speed at x = 0. Note that this
equation ignores viscous effects along the walls but is a rea-
sonable approximation throughout the majority of the flow
field. Calculate the material acceleration for fluid particles
passing through this duct. Give your answer in two ways:
(1) as acceleration components a̟ and a, and (2) as accelera-
tion vector a.
Uo
FIGURE P4-16
Question 2:
Converging duct flow is modeled by the steady, two-dimensional velocity field of Prob. 4-16.
For the case in which Uo = 3.5 ft/s and b = 7.66 s', plot several streamlines from x = 0 ft to 6 ft
and y = -2 ft to 2 ft. Be sure to show the direction of the streamlines. Show your work; if Excel is
used, please submit the file along with your solution.
Transcribed Image Text:Question 1: 4-16 Consider steady, incompressible, two-dimensional flow through a converging duct (Fig. P4-16). A simple approximate velocity field for this flow is V = (u, v) = (U, + bx)i – byj where U, is the horizontal speed at x = 0. Note that this equation ignores viscous effects along the walls but is a rea- sonable approximation throughout the majority of the flow field. Calculate the material acceleration for fluid particles passing through this duct. Give your answer in two ways: (1) as acceleration components a̟ and a, and (2) as accelera- tion vector a. Uo FIGURE P4-16 Question 2: Converging duct flow is modeled by the steady, two-dimensional velocity field of Prob. 4-16. For the case in which Uo = 3.5 ft/s and b = 7.66 s', plot several streamlines from x = 0 ft to 6 ft and y = -2 ft to 2 ft. Be sure to show the direction of the streamlines. Show your work; if Excel is used, please submit the file along with your solution.
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