You are the only water resources engineer at the consulting firm Las Maravillas de la Ingenera...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
You are the only water resources engineer at the consulting firm Las Maravillas de la Ingenería based out of Lima, Perú. You were assigned to work on el río Marañión, a river in Perú that is a tributary to the Amazon river. You researched the river Marañón and found out that it is 1,737-kilometer long (1,079 miles) and drains a watershed of area 358,000 km² (138,225 square miles), an area a little larger than the area of the state of New Mexico. The average discharge in the river Marañón is 16,708 m³/s, which is very close to the average discharge in the Mississippi river, the longest river in the United States and the second longest river in the world after the Nile river in Africa. You were impressed by the large average discharge in Marañón river, knowing that it is only a tributary to the Amazon river, which has an average flow 12 times larger than the Marañión river. No wonder why the river Amazon has the largest discharge in the world, you thought. You were tasked to perform a hydrologic analysis on the watershed of el río Marañón. You used HEC-HMS software program to analyze the watershed and evaluate the 100-year flood. The 100-year flow turned out to be Q100=850,000 m³/s (or around 3 million cubic feet per second). Later your boss asked you to work on the hydraulic analysis of a diversion structure that diverts part of the flow of the Marañón river into a concrete canal with the purpose of irrigating nearby lands and providing water supply to the towns and the city downstream of the diversion. The canal will carry a maximum flow Q = 400 m³/s. The rectangular canal has a width B=25 meters and a bed slope S.= 0.0002. Assume Manning's roughness coefficient for the concrete canal to be n = 0.013. Your task is to analyze the effect of placing a sluice gate on this mild-sloped canal (see figure below). The sluice gate opening is 1.0 meter. NDL CDL. Q=400m³/s D CANAL BED SLUICE GATE 12 SLOPE So= 0.02% G NDL CDL Q=400 cms (d) Compute the depth of water at point E (YE). Hint: Recall the following equations for evaluating the conjugate depths upstream of a hydraulic jump (y₁) and downstream (y2). or y₂ = (-1+ √√1+ 8 Fr₁² ) Y2 V₁ = (-1+ 1+ 8 Fr₂² ) (e) How far downstream from the sluice gate does the hydraulic jump start? That is, using the Direct Step Method, find the horizontal length (Ax) of the water surface profile DE from the sluice gate with an opening of YD = 1.0 m to point E with a water depth of ye, as computed in question (d) above. Recall that the Direct Step Method gives the curve length Dx as: E₂-E1 Ax = So-Sf wherein E is the specific energy and Sy is the average friction slope between points 1 and 2. The friction slope at any point is obtained from Manning's equation applied to nonuniform flow: Sf n² v² 4/3 R Hint: Use only one full step of the Direct Step Method to compute the length of curve DE. In order to structurally design a sluice gate, you first need to find the net external hydraulic force applied on the sluice gate and its direction. Use the momentum equation below to compute the net force applied on the sluice gate and its direction. Assume that the depth of water just upstream of the sluice gate (at point C) is 6.0 m. Assume the yearly average water temperature in the mountains of Perú is 20 °C. ΣF-PO-V) ext You are the only water resources engineer at the consulting firm Las Maravillas de la Ingenería based out of Lima, Perú. You were assigned to work on el río Marañión, a river in Perú that is a tributary to the Amazon river. You researched the river Marañón and found out that it is 1,737-kilometer long (1,079 miles) and drains a watershed of area 358,000 km² (138,225 square miles), an area a little larger than the area of the state of New Mexico. The average discharge in the river Marañón is 16,708 m³/s, which is very close to the average discharge in the Mississippi river, the longest river in the United States and the second longest river in the world after the Nile river in Africa. You were impressed by the large average discharge in Marañón river, knowing that it is only a tributary to the Amazon river, which has an average flow 12 times larger than the Marañión river. No wonder why the river Amazon has the largest discharge in the world, you thought. You were tasked to perform a hydrologic analysis on the watershed of el río Marañón. You used HEC-HMS software program to analyze the watershed and evaluate the 100-year flood. The 100-year flow turned out to be Q100=850,000 m³/s (or around 3 million cubic feet per second). Later your boss asked you to work on the hydraulic analysis of a diversion structure that diverts part of the flow of the Marañón river into a concrete canal with the purpose of irrigating nearby lands and providing water supply to the towns and the city downstream of the diversion. The canal will carry a maximum flow Q = 400 m³/s. The rectangular canal has a width B=25 meters and a bed slope S.= 0.0002. Assume Manning's roughness coefficient for the concrete canal to be n = 0.013. Your task is to analyze the effect of placing a sluice gate on this mild-sloped canal (see figure below). The sluice gate opening is 1.0 meter. NDL CDL. Q=400m³/s D CANAL BED SLUICE GATE 12 SLOPE So= 0.02% G NDL CDL Q=400 cms (d) Compute the depth of water at point E (YE). Hint: Recall the following equations for evaluating the conjugate depths upstream of a hydraulic jump (y₁) and downstream (y2). or y₂ = (-1+ √√1+ 8 Fr₁² ) Y2 V₁ = (-1+ 1+ 8 Fr₂² ) (e) How far downstream from the sluice gate does the hydraulic jump start? That is, using the Direct Step Method, find the horizontal length (Ax) of the water surface profile DE from the sluice gate with an opening of YD = 1.0 m to point E with a water depth of ye, as computed in question (d) above. Recall that the Direct Step Method gives the curve length Dx as: E₂-E1 Ax = So-Sf wherein E is the specific energy and Sy is the average friction slope between points 1 and 2. The friction slope at any point is obtained from Manning's equation applied to nonuniform flow: Sf n² v² 4/3 R Hint: Use only one full step of the Direct Step Method to compute the length of curve DE. In order to structurally design a sluice gate, you first need to find the net external hydraulic force applied on the sluice gate and its direction. Use the momentum equation below to compute the net force applied on the sluice gate and its direction. Assume that the depth of water just upstream of the sluice gate (at point C) is 6.0 m. Assume the yearly average water temperature in the mountains of Perú is 20 °C. ΣF-PO-V) ext
Expert Answer:
Answer rating: 100% (QA)
To analyze the effect of placing a sluice gate on the canal and determine the depth of water at point E ye and the distance downstream from the sluice ... View the full answer
Related Book For
Discrete Mathematics and Its Applications
ISBN: 978-0073383095
7th edition
Authors: Kenneth H. Rosen
Posted Date:
Students also viewed these finance questions
-
Last Sale Net Bid Ask Open Int Puts Last Sale Net bid Ask Vol Open Int 16Aug 155.00(1619H155-E) 6.45 0.75 6.95 7.25 9 16Aug 155.00(1619T155-E) 1.18 (0.75) 1.17 1.25 61 4505 16Aug 166.00(1619H160-E)...
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...
-
Aussie Infonautics, Inc., produces handheld Windows CE¢-compatible organizers. Aussie Infonautics markets three different handheld models. PalmPro is a soupedup version for the executive on the...
-
On January 1, 2014, Pacer Ltd. paid $1,000 for the option to buy 5,000 of its common shares for $25 each. The contract stipulates that it may only be settled by exercising the option and buying the...
-
Emerson Processing borrowed $900,000 for installing energy-efficient lighting and safety equipment in its La Grange manufacturing facility. The terms of the loan were such that the company could pay...
-
A thin wire, lying along the x axis, is strained such that each point on the wire is displaced x = kx 2 along the x axis. If k is constant, what is the normal strain at any point P along the wire? x...
-
Visit the SBA Web site at www.sba.gov. Find four possible funding sources for a computer rental and repair company. Describe the pros and cons of each and create a proposed financing mix, assuming a...
-
The total sales of a company is $ 1 , 0 0 0 K . The company aims to increase its profit by 2 5 % . There are two ways to increase profit by 2 5 % , either by purchasing the raw materials at a lower...
-
Using Exhibit 1.3 as a model, describe the source- make- deliver-return relationships in the following systems: From Exhibit 1.3 a. An airline b. An automobile manufacturer c. A hospital d. An...
-
Read the article Li Tana, ? and Shenghan Xu (2009), a model-checking-based approach to risk analysis in supply chain consolidations and summarize it.
-
Describe the financing mechanism for providing health insurance in Italy - that is, what is the distribution/sources of funds used to provide health care coverage?
-
Why is it important not to judge people with the accent they have when they speak English ?
-
Describe the economic conditions in which the Federal Reserve might adopt expansionary monetary policies
-
Find an article involving Business, international affairs or any applicable news story. Read and summarize the article. Then give a brief opinion on it. Article should be from NYT, WSJ, Economist,...
-
Discuss why the demand for the social determinants of health and medical care is considered to be a derived demand in a health production function.
-
Originally founded in 1980 by R.A. McLellan, the Sydney-based company was a manufacturer and retailer of customized basketball shoes. In 1996, Cloud 9, Inc. (a publicly listed United States [US]...
-
Discuss the information available from the following techniques in the analysis of inorganic pigments used in antique oil paintings: (i) Powder X-ray diffraction, (ii) Infrared and Raman...
-
Use the extended Euclidean algorithm to express gcd(144, 89) as a linear combination of 144 and 89. The extended Euclidean algorithm can be used to express gcd(a, b) as a linear combination with...
-
Trace Algorithm 4 when it is given m = 5, n = 11, and b = 3 as input. That is, show all the steps Algorithm 4 uses to find 311mod 5.
-
Show that if G is a connected graph, then it is possible to remove vertices to disconnect G if and only if G is not a complete graph
-
To what amount will the following investments accumulate? a. $6,000 invested for 12 years at 12 percent compounded annually b. $7,500 invested for 8 years at 8 percent compounded annually c. $6,400...
-
What is the present value of the following future amounts? a. $805 to be received 10 years from now discounted back to the present at 10 percent b. $376 to be received 5 years from now discounted...
-
At what annual rate would the following have to be invested? a. \($820\) to grow to \($1,988.12\) in 13 years b. \($320\) to grow to \($423.10\) in 6 years c. \($57\) to grow to \($290.30\) in 18...
Study smarter with the SolutionInn App