EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 24, Problem 48P
Fully developed flow moving through a 40-cm diameter pipe has the following velocity profile:
| Radius, r, cm | 0.0 | 2.5 | 5.0 | 7.5 | 10.0 | 12.5 | 15.0 | 17.5 | 20.0 |
| Velocity, v, m/s | 0.914 | 0.890 | 0.847 | 0.795 | 0.719 | 0.543 | 0.427 | 0.204 | 0 |
Find the volume flow rate Q using the relationship
wherer is the radial axis of the pipe, R is the radius of the pipe, and v is the velocity. Solve the problem using two different approaches.
(a) Fit a polynomial curve to the velocity data and integrate analytically.
(b) Use multiple-application Simpson's
(c) Find the percent error using the
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Three pipes A. B, and C are interconnected as shown in figure 1. The pipe dimensions
are as follows:
Pipeline
A
D (cm)
15
10
L (m)
300
240
600
0.01
0.01
0.005
B
20
A
15 m
25 m
B
Figure 1
1.1 Find the rate at which water will flow in each pipe, ignoring the shock losses at P
and entry to pipelines A and B.
1.2 Find the pressure at P.
Three pipes A, B, and C are interconnected as shown in figure 1. The pipe dimensions
are as follows:
D (cm)
15
10
20
Pipeline
A
L (m)
300
240
600
0.01
0.01
0.005
A
15 m
25 m
В
C
Figure 1
1.1 Find the rate at which water will flow in each pipe, ignoring the shock losses at P
and entry to pipelines A and B.
1.2 Find the pressure at P.
QUESTION 1
Three pipes A, B, and C are interconnected as shown in figure 1. The pipe dimensions
are as follows:
D (cm)
15
10
20
Pipeline
L (m)
300
0.01
B
240
600
0.01
0.005
A
15 m
25 m
B
Figure 1
1.1 Find the rate at which water will flow in each pipe, ignoring the shock losses at P
and entry to pipelines A and B.
1.2 Find the pressure at P.
Chapter 24 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 24 - Perform the same computation as Sec. 24.1, but...Ch. 24 - 24.2 Repeat Prob. 24.1, but use Romberg...Ch. 24 - 24.3 Repeat Prob. 24.1, but use a two- and a...Ch. 24 - 24.4 Integration provides a means to compute how...Ch. 24 - Use numerical integration to compute how much mass...Ch. 24 - 24.6 Fick’s first diffusion law states...Ch. 24 - The following data were collected when a large oil...Ch. 24 - 24.8 You are interested in measuring the fluid...Ch. 24 - Prob. 10PCh. 24 - 24.11 Glaucoma is the second leading cause of...
Ch. 24 - One of your colleagues has designed a new...Ch. 24 - Video an giography is used to measure blood flow...Ch. 24 - 24.14 Perform the same computation as in Sec....Ch. 24 - Perform the same computation as in Sec. 24.2, but...Ch. 24 - 24.16 As in Sec. 24.2, compute F using the...Ch. 24 - Stream cross-sectional areas (A) are required for...Ch. 24 - 24.18 As described in Prob. 24.17, the...Ch. 24 - 24.21 A transportation engineering study requires...Ch. 24 - 24.22 A wind force distributed against the side of...Ch. 24 - 24.23 Water exerts pressure on the upstream ...Ch. 24 - 24.24 To estimate the size of a new dam, you have...Ch. 24 - The data listed in the following table gives...Ch. 24 - The heat flux q is the quantity of heat flowing...Ch. 24 - 24.27 The horizontal surface area of a lake at a...Ch. 24 - 24.28 Perform the same computation as in Sec....Ch. 24 - 24.29 Repeat Prob. 24.28, but use five...Ch. 24 - Repeat Prob. 24.28, but use Romberg integration to...Ch. 24 - Faradays law characterizes the voltage drop across...Ch. 24 - 24.32 Based on Faraday’s law (Prob. 24.31), use...Ch. 24 - Suppose that the current through a resistor is...Ch. 24 - If a capacitor initially holds no charge, the...Ch. 24 - 24.35 Perform the same computation as in Sec....Ch. 24 - 24.36 Repeat Prob. 24.35, but use (a) Simpson’s ...Ch. 24 - 24.37 Compute work as described in Sec. 24.4, but...Ch. 24 - As was done in Sec. 24.4, determine the work...Ch. 24 - 24.39 The work done on an object is equal to the...Ch. 24 - The rate of cooling of a body (Fig. P24.40) can be...Ch. 24 - 24.41 A rod subject to an axial load (Fig....Ch. 24 - If the velocity distribution of a fluid flowing...Ch. 24 - 24.43 Using the following data, calculate the work...Ch. 24 - 24.44 A jet fighter’s position on an aircraft...Ch. 24 - 24.45 Employ the multiple-application Simpson’s...Ch. 24 - The upward velocity of a rocket can be computed by...Ch. 24 - Referring to the data from Problem 20.61, find the...Ch. 24 - Fully developed flow moving through a 40-cm...Ch. 24 - Fully developed flow of a Bingham plasticfluid...Ch. 24 - 24.50 The enthalpy of a real gas is a ...Ch. 24 - Given the data below, find the isothermal work...Ch. 24 - 24.52 The Rosin-Rammler-Bennet (RRB) equation is...Ch. 24 - For fluid flow over a surface, the heat flux to...Ch. 24 - The pressure gradient for laminar flow through a...Ch. 24 - 24.55 Velocity data for air are collected at...
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