CU06997 Lecture 5 ; Exercises

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Exercise 1

  • 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
Basis_exercise ditch bedslope
Questions:

  1. Calculate the Hydraulic Radius for the cross-section
  2. Calculate Reynolds number
  3. Is the flow laminar or turbulent?
  4. From which velocity will the flow be laminar, assuming the cross-section stays the same.
  5. From which velocity will the flow be turbulent, assuming the cross-section stays the same.
Exercise 2

  • 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
Basis_exercise ditch bedslope=0
Questions:

  1. Calculate the Hydraulic Radius for the cross-section at P2
  2. Calculate Reynolds number at P2
  3. Is the flow laminar or turbulent?

Exercise 3
Calculate the hydraulic radius for the following cross-sections:
sloot

bed width b [m] water depth y [m] slope [-]
4 1.45 1:3
3 1.37 1:2
5 2.98 1:4
400 3.2 1:0
Exercise 4
Calculate the hydraulic radius for the following partially filled pipes
buis
Diameter D [m] Water depth h [m]
0.8 0.7
0.7 0.3
3.4 1.7
2.8 2.0
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