Fluid mechanics and hydraulics miscellaneous
- In a lined rectangular canal, the Froude number of incoming flow is 3.0. A hydraulic jump forms when it meets the pool of water. The depth of flow after the jump formation is 1.51 m. Froude number of flow after the hydraulic jump is
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y2 = 1.51
Fr1 = 3y2 = y1 [-1 + √1 + 8 + 8Fr12] 2 ⇒ 1.51 = y1 [-1 + √1 + 8 + 8 × 3²] 2
∴ y1 = 0.4y1 = y2 [-1 + √1 + 8Fr22] 2 ⇒ 0.4 = 1.51 [-1 + √1 + 8Fr2] 2
∴ Fr2 = 0.41Correct Option: C
y2 = 1.51
Fr1 = 3y2 = y1 [-1 + √1 + 8 + 8Fr12] 2 ⇒ 1.51 = y1 [-1 + √1 + 8 + 8 × 3²] 2
∴ y1 = 0.4y1 = y2 [-1 + √1 + 8Fr22] 2 ⇒ 0.4 = 1.51 [-1 + √1 + 8Fr2] 2
∴ Fr2 = 0.41
