GATE XE (Engineering Sciences) 2014 - Question 34

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Section: Fluid Mechanics | Marks: 2

The gravity driven flow over a hump of height h in a canal is shown in the figure. The height of the free surface from the canal bed at upstream of the hump is H . The free surface height reduces to 1 H above the hump. Assuming the canal bed to be horizontal, the discharge per unit width is given by

Figure for question 34, GATE XE (Engineering Sciences) 2014

  • A. ඩ 2𝑔𝑔(𝐻𝐻−𝐻𝐻1 −ℎ) 1 𝐻𝐻1 2 −1 𝐻𝐻2
  • B. ඩ 2𝑔𝑔ℎ 1 (𝐻𝐻1 + ℎ)2 −1 𝐻𝐻2
  • C. ඩ 2𝑔𝑔(𝐻𝐻−𝐻𝐻1) 1 (𝐻𝐻1 + ℎ)2 −1 𝐻𝐻2
  • D. ඩ 2𝑔𝑔(𝐻𝐻−𝐻𝐻1) 1 𝐻𝐻1 2 −1 𝐻𝐻2

Answer: A. ඩ 2𝑔𝑔(𝐻𝐻−𝐻𝐻1 −ℎ) 1 𝐻𝐻1 2 −1 𝐻𝐻2

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