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Fluid mechanics and hydraulics miscellaneous

Fluid Mechanics and Hydraulics

  1. 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
    1. 0.30
    2. 0.71
    3. 0.41
    4. none of these
Correct Option: C

y2 = 1.51
Fr1 = 3

y2 =
y1
[-1 + √1 + 8 + 8Fr12]
2

⇒ 1.51 =
y1
[-1 + √1 + 8 + 8 × 3²]
2

∴ y1 = 0.4
y1 =
y2
[-1 + √1 + 8Fr22]
2

⇒ 0.4 =
1.51
[-1 + √1 + 8Fr2]
2

∴ Fr2 = 0.41



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