CU06997 Lecture 7 ; Exercises

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All questions have to do with the following culvert

Length culvert is 50 m, width culvert = 2 m , height culvert = 2 m, friction coefficient λ=0,022 and contraction coefficient μ =0,6

Question 1

Calculate the discharge if the drop in water level is 1 m and the velocity downstream and upstream is 0 m/s. Make a sketch of the H (total head)and y (pressure head) line, with numbers

Question 2

Calculate the discharge en velocity culvert if the velocity upstream is 1 m/s and downstream is 2 m/s. Drop in waterlevel is 1 m. Make a sketch of the H (total head)and y (pressure head) line, with numbers

Question 3

Suppose the water level downstream is 3 m above the bottom of the culvert, velocity downstream and upstream is 0,5 m/s and the flow-rate is 10 m³/s. Calculate the water level upstream. Make a sketch of the H (total head)and y (pressure head) line, with numbers

Question 4

We use same data as question 3. Suppose the calculated water level upstream is to high. What possibilities do you have to lower the upstream water level, without changing the dimensions of cross-section of the culvert.

Question 5

Suppose the discharge is 3 m³/s. Velocity upstream is 1 m/s, velocity downstream is 0,5 m/s. Reference line is the bottom of the culvert, water level downstream is 3 m above reference, water level upstream is 3.5 m above reference. Calculate the dimensions of the cross-section of the culvert. Make a sketch of the H (total head) and h (pressure) line, with numbers