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Water flows smoothly over a small bump in a channel of constant width, as shown in Figure P10.11. At any cross-section the velocity may be considered constant over the entire area. If V1 is the velocity at entry, where the depth is Y1, and V2 is the velocity where the bump has its highest point, where the depth is Y2. If Y1/Y2 = 1.8, find

(a) The Froude number of the flow at entry.

(b) The Froude number at the top of the bump.

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