Question: a. Show that both the stream function and the velocity potential satisfy Laplace equation: Vf = 0. (5%) b. What is the relationship between

a. Show that both the stream function and the velocity potential satisfy Laplace equation: Vf = 0. (5%) b.

a. Show that both the stream function and the velocity potential satisfy Laplace equation: Vf = 0. (5%) b. What is the relationship between the velocity potential and the stream function of the same flow? (3%) C. c. A certain irrotational flow field in the xy plane has the stream function = Bxy, where B = 0.3 s-1, and the coordinates are measured in meters. Determine the rate of flow between points (x, y) = (2,4) and (3,5). Find the velocity potential for this flow. (12%)

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