Water flows smoothly over a small bump in a channel of

Question

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.