CVEN3502 UNSW Week 6 Open channel flow & Wastewater Engineering Paper

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Engineering

cven3502

university of new south wales

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Finish the assignment and make good format, which is most important to use correct formula and explanation.

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School Term 2, 2019 CVEN3502 WATER AND WASTEWATER ENGINEERING Open channel flow assignment Submission details: - Submit your assignment by 5:00 pm on Monday 8th July (Week 6) via the Moodle course page of CVEN3502. Submit you assignment as a single PDF file. Note that no other file format is accepted by Moodle and your assignment will not be marked. Note that it is not a requirement that you use word processing in this assignment; a hand-written submission and the scanned submission as a PDF document is fine. The most important thing is that you submit your assignment as a single PDF document. Value and Assessment Criteria: - - - The assignment is an individual assignment. Each student will receive an individual data set of given parameters which will lead to individual results. The individual data will be emailed to your official UNSW student email address. Using the wrong data set will attract a penalty of 20%. The use of a wrong data set will also attract a detailed checking for copying and plagiarism. Copied assignments or parts of assignments may result in 0 marks being awarded, irrespective of which assignment was the original. The value of this assignment is 10% towards the final mark for this course. Late assignment submissions made after 5:00 pm on Monday 8th July will be penalised by 10% of the value of this assignment per day (including days on the weekend). Setting out your work clearly and logically is part of the marking of this assignment (i.e. make it easy for your markers to award you marks!). Problem Setup: A rectangular channel of width B1 [m] has a smooth and gradual contraction B2 [m] of limited length, in the direction of flow. Either side of the contraction, the channel has a constant width B1 = B3 [m]. The channel widths are provided in your data set. The constant flow rate Q [l/s] is also provided as well as the upstream flow depth y1 [m] which is given when the flow depth at position ① is not affected by choking flow. At position ② the channel has in addition to the channel contraction, a hump with variable height ∆z [m] with same length as the transverse contraction B2. Downstream of the hump, the flow enters a long channel with slope S and surface roughness ks. Both channel slope and surface roughness are given in your data set. At a position ③, some length downstream of the contraction/hump, the channel will achieve CVEN3502 – Term 2, 2019 – Assignment - 1 uniform flow conditions. While the surface roughness must be taken into account for the long reach downstream of the contraction/hump, any friction losses between sections ① and ② can be assumed small and potential local losses can be neglected. Figure 1 illustrates the setup in both plan and side view; the flow is from left to right. Figure 1 - Sketch of open channel flow setup Three sections are indicated in Figure 1 (The figure is not to scale): - Section ① is just upstream of the contraction/hump; Section ② is located on the throat of the contraction / the centre of the hump. At section ②, the width B2 is provided, but the height of the hump ∆z is variable in this assignment; and Section ③ is far downstream of the contraction/contraction at a position where uniform equilibrium flow conditions are achieved. Data: You will be provided with constant values for the following parameters: You will be given constant values for the following parameters: - The channel width B1 = B3 [m]; - The channel width in the contraction B2 [m]; - The flow rate Q [l/s]; - The upstream depth when the contraction/hump at section ① is not choking the flow y1 [m]. (Please note when choking takes place due to the hump, the upstream depth y1' will vary as it depends upon the (variable) height ∆z.) - The channel slope S downstream of the contraction/hump; and - The channel roughness ks [m] downstream of the contraction/hump. Each student is being provided with an individual data set. The data set is generated randomly for each student. The individual values of the above parameters will be emailed to each student. The provided values must be used by each student to avoid penalties. CVEN3502 – Term 2, 2019 – Assignment - 2 The Task: The main aim of this assignment is the understanding of basic principles of open channel flows comprising critical flow and specific energy, channel transitions as well as gradually varied and uniform flows. The tasks are: 1) Find the maximum hump height ∆zc for which the upstream water level is not affected. 2) Plot the upstream depth y1 or y1' (the ordinate or vertical axis) against the height of the hump ∆z (the abscissa or horizontal axis) i.e. y1, y1' versus ∆z. In the same graph, plot the depth in the contraction y2 (the ordinate) against ∆z (the abscissa), i.e. y2 versus ∆z. For large values of ∆z, the upstream choked depth y1' will become very large. Therefore, the following limits for your variable ∆z are advised for calculating and/or plotting your results: 0 ≤ ∆z ≤ y1. In your plots, where a depth is changing (as ∆z is changing), you need only to include 4 points (including the 2 end points) to define each continuous limb of the plots. The use of a spreadsheet will facilitate your calculations. (Hint: you will need to solve a number of cubic equations, so it may help to set up a method for doing this in Excel or MATLAB. You can also use trial and error or some other method.) 3) Sketch one specific energy diagram for three flow scenarios comprising, the critical flow case for ∆zc, one condition (only) of unchoked flow and one condition (only) of choked flow. For these three scenarios indicate all relevant quantities on your specific energy sketch (e.g. locations of your upstream flow depth y1 (or y1'), your flow depth in your contraction y2, your critical flow depths y1,c and y2,c , the hump height Δz, the specific energy in sections ① and ②, etc.). Marks will be given for clarity and completeness of your sketch. Use colour to improve the readability of your sketch if required. All three scenarios must be sketched in one specific energy diagram and marks will be deducted should you provide three diagrams. (Note: a sketch means that you do not need to draw to scale.) 4) For one case where your hump height ∆z causes flow choking upstream (i.e. ∆z > ∆z c), calculate the normal flow depth y3 at a distance downstream of your hump (position ③). The channel is long enough to achieve uniform flow conditions.? Marking Scheme: The marking of the assignment will be based upon completeness, neatness and logical working. Please explain your working and indicate your calculation steps. Marks will be deduced if you only provide a final value as answer which does not allow the checking of your working. If you used a computer program for your working you need to provide both details about your working steps as well as the formulas and code created. Your sketches should contain all relevant information and the appearance of the sketches must be neat and clear. It is envisaged that the marking scheme will be approximately as set out below. The marks total 20 but will be scaled back to be out of 10 as part of your CVEN3502 course mark. Question 1 2 3 4 Marks 2 8 6 4 CVEN3502 – Term 2, 2019 – Assignment - 3
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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...


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