Converging duct flow (Fig. P417) is modeled by the steady, two-dimensional velocity field of Prob. 417. Is

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Converging duct flow (Fig. P4–17) is modeled by the steady, two-dimensional velocity field of Prob. 4–17. Is this flow field rotational or irrotational? Show all your work.


Data from Problem 17.

Consider steady, incompressible, two-dimensional flow through a converging duct (Fig. P4–17). A simple approximate velocity field for this flow is

where U0 is the horizontal speed at x = 0. Note that this equation ignores viscous effects along the walls but is a reasonable 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 ax and ay 

(2) As acceleration vector a(vector)

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