EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 16, Problem 13P
As an agricultural engineer, you must design a trapezoidal open channel to carry irrigation water (Fig. P16.13). Determine the optimal dimensions to minimize the wetted perimeter for a cross-sectional area of
FIGURE P16.13
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Problem-3
The water flowrate, Q in an open rectangular channel is a function of
height, H, the channel width, b, and gravity, g. In a lab test it was determined that if b = 3 ft
= 1.96 ft/s. Take H and g as repeating variables to determine an
equation for the flowrate if it known that Q is directly proportional to the channel width, b.
and H = 4 in., then Q
1) The equation for finding the water head in an open channel flow is given below. is given. In this
equation, the channel width (B=8 units) and the flow rate of the water in the channel (Q=5 units)
Since the height of the water in the channel is estimated to be between x1-0 and x2=2 units, What is
the actual height (H) of the water in the channel? (You can make your transactions less than 0.05% of
the approximate error.) continue until it is lower than and take six digits after the comma)
0.471405 x ( BH)5/%
f(H) =
%3D
(B + 2 x H)2/3
Uniform water flow in a wide brick channel (n=0.015) of slope of 0.020 moves over a 10-cm bump as in Fig. 7a. A slight depression in water surface results. If the minimum water depth over the bump is 50 cm, compute the velocity over the bump and the flow rate per meter of width.
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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