EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Textbook Question
Chapter 1, Problem 18P
The velocity is equal to the rate of change of distance
(a) Substitute Eq. (1.10) and develop an analytical solution for distance as a function of time. Assume that
(b) Use Euler's method to numerically
(c) Develop a plot of your numerical results together with the analytical solution.
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QI (a) Sketch the dimension in Figure Q1 (b) below (front view) by refferring the Figure Q1 (a)
using standard practice.
Figure Q1 (b)
8.0
27.0
D
5.0
24.0
Figure Q1 (a)
10.0
The following table lists temperatures and specific volumes of water vapor at
two pressures:
p = 1.5 MPa
v(m³/kg)
p = 1.0 MPa
T ("C)
v(m³/kg)
T ("C)
200
0.2060
200
0.1325
240
280
0.2275
0.2480
240
280
0.1483
0.1627
Data encountered in solving problems often do not fall exactly on the grid of
values provided by property tables, and linear interpolation between adjacent
table entries becomes necessary. Using the data provided here, estimate
i. the specific volume at T= 240 °Č, p = 1.25 MPa, in m/kg
ii. the temperature at p = 1.5 MPa, v = 0.1555 m/kg, in °C
ii. the specific volume at T = 220 °C, p = 1.4 MPa, in m'/kg
When a liquid in a beaker is stired, whirlpool will form and there will be an elevation
difference h, between the center of the liquid surface and the rim of the liquid surface.
Apply the method of repeating variables to generate a dimensional relationship for
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gravitational acceleration (2), and radius (R) of the container. Take o. pand R as the
repeating variables.
Chapter 1 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 1 - Use calculus to solve Eq. (1.9) for the case where...Ch. 1 - 1.2 Repeat Example 1.2. Compute the velocity to ...Ch. 1 - Rather than the linear relationship of Eq. (1.7),...Ch. 1 - For the free-falling parachutist with linear drag,...Ch. 1 - Compute the velocity of a free-falling parachutist...Ch. 1 - 1.6 The following information is available for a...Ch. 1 - The amount of a uniformly distributed radioactive...Ch. 1 - A group of 35 students attend a class in a room...Ch. 1 - A storage tank contains a liquid at depth y, where...Ch. 1 - For the same storage tank described in Prob. 1.9,...
Ch. 1 - 1.11 Apply the conservation of volume (see Prob....Ch. 1 - In our example of the free-falling parachutist,...Ch. 1 - 1.13 Suppose that a spherical droplet of liquid...Ch. 1 - Newtons law of cooling says that the temperature...Ch. 1 - As depicted in Fig. P1.15, an RLC circuit consists...Ch. 1 - 1.16 Cancer cells grow exponentially with a...Ch. 1 - 1.17 A fluid is pumped into the network shown in...Ch. 1 - The velocity is equal to the rate of change of...Ch. 1 - You are working as a crime-scene investigator and...Ch. 1 - 1.21 As noted in Prob. 1.3, drag is more...Ch. 1 - 1.22 As depicted in Fig. P1.22, a spherical...Ch. 1 - As described in Prob. 1.22, in addition to the...Ch. 1 - As depicted in Fig. P1.24, the downward deflection...Ch. 1 - 1.25 Use Archimedes’ principle to develop a...Ch. 1 - Beyond fluids, Archimedes principle has proven...
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