EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Textbook Question
Chapter 17, Problem 8P
Fit the following data with the power model
x | 2.5 | 3.5 | 5 | 6 | 7.5 | 10 | 12.5 | 15 | 17.5 | 20 |
y | 13 | 11 | 8.5 | 8.2 | 7 | 6.2 | 5.2 | 4.8 | 4.6 | 4.3 |
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Table Error function (erf) values
erf (z)
erf (2
erf (z)
0.55
0.5033
13
0.9340
0.025
0.0282
O 60
0.6039
14
0.9523
0.05
0.0564
0.05
0 6420
15
0.9001
0.10
0.1125
0.70
0 6778
0.9703
16
0.15
0.1080
0.75
0.7112
1.7
0.9838
0 20
0.2227
080
07421
18
0.0091
025
0 2703
0.85
0.7707
1.9
0.0028
0.30
0.3290
0.90
0.7969
20
0.9953
0.35
03704
0.95
0.8200
22
0.9981
040
0.4284
O 8427
O 8802
1.0
24
0.9903
0.45
0.4755
11
2.6
0.0098
0 50
0.5205
12
0.9103
28
0 9990
A 1010 steel is to be carburized using a gas atmosphere that produces 1.0% Cat the surface of the steel. The case depth is defined as the distance below the
surface that contains at least 0.5% Č. If carburizing is done at 1000 C, determine the time required to produce a case depth of 0 234 mm. For the diffusion of
Garbon in FCC iron Q - 137.7 kJ/mol and Do = 0.23 x 10 m²/s. The gas constant is R- 8.314 J/(mol - K). Assume that the diffusion coefficient D
remains constant and the concentrations of the diffusing atoms at the surface (c.) and at…
a)
b)
c)
Use composite Simpson's rule to estimate xe*dx with n=4.
Subsequently, find the absolute error.
dy
dx
Given 3y + 2x, where y(0) = 1 and h = 0.2.
Approximate the solution for the differential equation for one iteration only by
using Runge Kutta method of order two.
Set up the Gauss-Siedel iterative equations the following linear system:
6x₁-3x₂ = 2
-x₁ + 3x₂ + x3 =1
x₂ + 4x₂ = 3
(Do not solve)
Read the questions carefully and answer with complete solution
and units. Use the steam tables provided and use 4 decimal places
for solving. Final answers shown are in 2 decimal places. Draw
the T-S diagrams properly with respect to the saturation line
A steam power plant uses the ideal Reheat-Regenerative Rankine cycle where
the steam enters the high-pressure turbine at 4 MPa and 300C. It partially
expands to 600 kPa where some steam is extracted for feedwater heating while
the rest is reheated to the same temperature. After expanding again, it enters
the condenser at 10 kPa. Sketch the schematic diagram and the TS diagram
with labeled points, and solve for mass taken for feedwater heating, Qa, Qr, Wt,
Wp, Wnet, thermal efficiency, and Steam rate. Neglect the condensate pump
work.
20.01%, 2667.841,1715.52,955.97, 3.74,952.32¹,3
35.69%, 3.78-
kg
kg
kg
kg
kWh
I
Chapter 17 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 17 - Given these data 8.8 9.5 9.8 9.4 10.0 9.4 10.1 9.2...Ch. 17 - Given these data 29.65 28.55 28.65 30.15 29.35...Ch. 17 - 17.3 Use least-squares regression to fit a...Ch. 17 - 17.4 Use least-squares regression to fit a...Ch. 17 - 17.5 Using the same approach as was employed to...Ch. 17 - Use least-squares regression to fit a straight...Ch. 17 - Fit the following data with (a) A...Ch. 17 - Fit the following data with the power model...Ch. 17 - 17.9 Fit an exponential model...Ch. 17 - 17.10 Rather than using the base-e exponential...
Ch. 17 - 17.11 Beyond the examples in Fig. 17.10, there are...Ch. 17 - 17.12 An investigator has reported the data...Ch. 17 - An investigator has reported the data tabulated...Ch. 17 - 17.14 It is known that the data tabulated below...Ch. 17 - 17.15 The following data are...Ch. 17 - Given these data x 5 10 15 20 25 30 35 40 45 50 y...Ch. 17 - 17.17 Fit a cubic equation to the following...Ch. 17 - Use multiple linear regression to fit x1 0 1 1 2 2...Ch. 17 - Use multiple linear regression to fit x1 0 0 1 2 0...Ch. 17 - Use nonlinear regression to fit a parabola to the...Ch. 17 - 17.21 Use nonlinear regression to fit a...Ch. 17 - 17.22 Recompute the regression fits from Probs....Ch. 17 - Develop, debug, and test a program in either a...Ch. 17 - A material is tested for cyclic fatigue failure...Ch. 17 - The following data show the relationship between...Ch. 17 - 17.26 The data below represents the bacterial...Ch. 17 - The concentration of E. coli bacteria in a...Ch. 17 - 17.28 An object is suspended in a wind tunnel and...Ch. 17 - 17.29 Fit a power model to the data from Prob....Ch. 17 - Derive the least-squares fit of the following...Ch. 17 - 17.31 In Prob. 17.11 we used transformations to...
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