EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 16, Problem 12P
You must design a triangular open channel to carry a waste stream from a chemical plant to a waste stabilization pond (Fig. P16.12). The mean velocity increases with the hydraulic radius
FIGURE P16.12
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EAH 225 HYDRAULICS - Open Channel Hydraulics
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The discharge of water over a spillway 12 m wide is 283 m/s into a stilling basin
of the same width. The Bukit Merah lake level behind the spillway has an
elevation of 60 m, and the Kurau River water surface elevation downstream of the
stilling basin is 30 m. Assuming a 10 percent energy loss in the flow down the
spillway, find the invert elevation of the floor of the stilling basin so that the
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Bukit Merah Lake
River Kurau
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CCB 343 –HYDRAULICS
Tutorial Questions, February 2021
1. A sluice gate is used to control and measure the discharge in an open channel. When the
upstream and downstream water depths are 1.0 m and 0.2 m respectively, calculate the
discharge in the channel
[0.81 m'/s/m width]
2. A rectangular concrete-lined channel of width 2.5 m and depth 0.5 m has a slope of 1 in
Try calculating the
[0.94m/s].
2000. If the Manning's n value is 0.015, calculate the discharge.
discharge using the Chezy equation with C = 70.
3. A hydraulic jump is to be formed in a channel carrying a discharge of 0.8 m/s/m width
of channel with a depth of flow of 0.25 m. Calculate the depth required downstream to
create the jump.
[0.61 m]
4. A river is 30 m wide and has a rectangular shape. At a bridge location the flow width is
restricted to 25 m by the piers of the bridge and the river bed is approximately horizontal.
Describe the flow which obtains underneath the bridge with minimum upstream depth
when a flood of 450…
Water is flowing at a depth of 10.0 ft with a velocity of 10.0 ft/s in a channel of rectangular section.
a)If there is a smooth contraction in the channel width from 10.0 ft to 9.0 ft, calculate the flow depth in feet in the contracted section using a solver.
b)If there is a smooth contraction in width from original upstream width of 10.0 feet, find the minimum width (in feet) in the contraction so that choking is prevented.
Chapter 16 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 16 - 16.1 Design the optimal cylindrical container...Ch. 16 - 16.2 (a) Design the optimal conical container...Ch. 16 - Design the optimal cylindrical tank with...Ch. 16 - The specific growth rate of a yeast that produces...Ch. 16 - A chemical plant makes three major products on a...Ch. 16 - 16.6 Recently chemical engineers have become...Ch. 16 - 16.7 A mixture of benzene and toluene are to be...Ch. 16 - 16.8 A compound A will be converted into B in a...Ch. 16 - In problem 16.8, only one reactor is used. If two...Ch. 16 - 16.10 For the reaction:
equilibrium can be...
Ch. 16 - A chemical plant requires 106L/day of a solution....Ch. 16 - You must design a triangular open channel to carry...Ch. 16 - 16.13 As an agricultural engineer, you must design...Ch. 16 - 16.14 Find the optimal dimensions for a heated...Ch. 16 - A finite-element model of a cantilever beam...Ch. 16 - 16.16 Suppose that you are asked to design a...Ch. 16 - TheStreeter-Phelps model can be used to compute...Ch. 16 - Prob. 18PCh. 16 - 16.19 The flow in an open channel can be predicted...Ch. 16 - A cylindrical beam carries a compression load...Ch. 16 - The Splash River has a flow rate of 2106m3/d, of...Ch. 16 - 16.22 Determine the beam cross-sectional areas...Ch. 16 - AtotalchargeQ is uniformly distributed around a...Ch. 16 - A system consist softwopower plants that must...Ch. 16 - 16.25 The torque transmitted to an induction motor...Ch. 16 - (a) A computer equipment manufacture rproduces...Ch. 16 - A manufacturer provides specialized microchips....Ch. 16 - 16.28 The total drag on an airfoil can be...Ch. 16 - Mechanical/Aerospace Engineering
16.29 Roller...Ch. 16 - 16.30 An aerospace company is developing a new...Ch. 16 - 16.31 A manufacturing firm produces four types of...Ch. 16 - In a similar fashion to the case study described...Ch. 16 - 16.33 Recent interest in competitive and...
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- Suppose we have planned to design a hydraulic system.In this aspect, the pump selection is to be finalized for a flow rate of 3464.5 Liters per minute, It has been validated that the fluid velocity in a discharge pipeline should be between 4.6 m/s and 6.8 m/s. Calculate the minimum diameter and maximum diameter of pipe that should be used in the pipelines. Write the significance of using maximum diameter pipelines in the hydraulic systemarrow_forward7.5 m -2.0 m 6.0 m h where b = weir width (m) 2 g = gravitational acceleration (m/s) h = height of water above the weir edge (m) 2.0 m 1.0 m wide weir water flows out through this opening The surge tank pictured (shown with clear sides for illustration purposes) is used to even out variable flows. During periods of high flow, excess water is diverted to the surge tank where it flows out more slowly over the weir. The volumetric flow over the weir is V = 0.011 * b* g¹/2h³/2 Assuming no excess flow is currently being diverted to the surge tank, determine the time required for the water level in the tank to become 6.25 m if the initial height is 7.5 marrow_forward2. Four reservoirs connection is shown below. Determine the discharges in each pipe using Manning's Equation withn = 0.012. Draw the final hydraulic gradient line (HGL). Diameter of pipe (m) Length of pipe (m) 1500 800 Pipe AX 0.30 BX 0.25 XY CY 400 0.30 500 0.20 DY 1600 0.20 WS ELEV. = 300 m wS ELEV. = 150 m WS ELEV. = 100 m ELEV. = 75 m WS D. Yarrow_forward
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