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Running head: OPEN CHANNEL FLOW ASSIGNMENT
Open Channel Flow Assignment
Name
Course
Date
1
OPEN CHANNEL FLOW ASSIGNMENT
2
Open Channel Flow Assignment
The purpose of this assignment is to evaluate the flow of water in an open channel with
the geometrical disposition shown in the plane and side views shown in figure 1. The
characteristic physical parameters of the channel are as follows:
•
The width in the broader sections of the channel is of 2 m, meaning B1 = B3 = 2 m
•
The width of the straighter region of the channel is of 0.6 m, meaning B2 = 0.6 m
•
The flow rate of the water entering the channel (Q1 = Q2 = Q3) is of 400 l/s
•
The height of water at the entrance of the channel (y1) is of 0.9 m
•
The slope in section 3 of the channel is of 2% (S = 0.02)
•
The roughness of the pipes used in the construction of the channel is of 0.001 m
Figure 1. Characteristics of the open channel used in the assignment
Calculation of the maximum hump height (Δz)
Considering the entrance flow rate and the surface of the rectangle in section 1, the linear
speed of the water entering the channel is:
OPEN CHANNEL FLOW ASSIGNMENT
𝑣1 =
3
𝑄1
𝑄1
=
𝑆𝑢𝑟𝑓𝑎𝑐𝑒 𝐵1 ∗ 𝑦1
Substituting the given values,
𝑣1 =
Where
10−3 𝑚3
𝑙
400 𝑙/𝑠
10−3 𝑚3
𝑚
∗
= 0.222
2𝑚 ∗ 0.9 𝑚
𝑙
𝑠
represents the necessary conversion...