CU06997 Lecture 4 ; Exercises

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Exercise 1
For the frictionless syphon in Figure 2.4 (So there is no energy loss), determine the discharge and the pressure heads at A and B, given that the pipe diameter is 200 mm and the nozzle exit is 150 mm
Assume fresh water and g = 10 [m/s2]
CU06997_lecture_3_exercise_3
Exercise 2

  • Distance between P1 en P2 (L) = 1500 m
  • The ditch has a bed-slope [helling bodem] of 1:2000
  • Assume bed-slope = slope pressure line = slope total head
  • Water-depth (D) = 1,5 m at P1 and P2
  • Discharge Q = 21 m3/s
  • Bed width ditch (W) = 4 m
  • Slope ditch (S) = 1:3
  • Assume fresh water and g = 10 [m/s2]
Basis_exercise ditch bedslope
Questions:

  1. Classify the flow at the part P1 – P2 (steady, unsteady, uniform, non uniform)
  2. Classify the flow at the weir (steady, unsteady, uniform, non uniform)
  3. Is the flow between P1 – P2 one, two or three dimensional?
  4. Is the flow at the weir one, two or three dimensional?
  5. Compare P1 and P2 with Bernoulli’s equation (with energy loss)
  6. Based on question 5, how much is the energy loss between P1 and P2.
Exercise 3

  • Distance between P1 en P2 (L) = 1500 m
  • The bed of the ditch is horizontal
  • Water-depth (D) = 1,5 m at P1
  • Water-depth (D) = 1,2 m at P2
  • Discharge Q = 21 m3/s
  • Bed width ditch (W) = 4 m
  • Slope ditch (S) = 1:3
  • Assume fresh water and g = 10 [m/s2]
Basis_exercise ditch bedslope=0
Questions:

  1. Classify the flow at the part P1 – P2 (steady, unsteady, uniform, non uniform)
  2. Classify the flow at the weir (steady, unsteady, uniform, non uniform)
  3. Is the flow between P1 – P2 one, two or three dimensional?
  4. Is the flow at the weir one, two or three dimensional?
  5. Compare P1 and P2 with Bernoulli’s equation (with energy loss)
  6. Based on question 5, how much is the energy loss between P1 and P2.
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