EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 24, Problem 12P
One of your colleagues has designed a new transdermal patch to deliver insulin through the skin to diabetic patients in a controlled way, eliminating the need for painful injections. She hascollected the following data on the mass flux of insulin being delivered through the patch (and skin) as a function of time:
| Flux, Mg/cm2/h | Time, h | Flux, Mg/cm2/h | Time, h |
| 15 | 0 | 8 | 5 |
| 14 | 1 | 5 | 10 |
| 12 | 2 | 2.5 | 15 |
| 11 | 3 | 2 | 20 |
| 9 | 4 | 1 | 24 |
Remember that mass flux is flow rate through an area or
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Algal blooms can have negative effects on an ecosystem by dominating its phytoplankton communities. Gonyostomum semen is a nuisance alga infesting many parts of northern Europe. Could the overall biomass of G. semen be controlled by grazing zooplankton species? A research team examined the relationship between the net growth rate of G. semen and the number of Daphnia magna grazers introduced in test tubes. Net growth rate was computed by comparing the initial and final abundance of G. semen in the experiment, with a negative value indicative of a decrease in abundance. The table contains the findings.
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Environmental conditions can affect the growth of coral. To study this, a researcher examined a species of coral that is found in
the Caribbean Sea and the Gulf of Mexico. At 12 localities, he determined the average annual calcification rate of coral over a
period of several years and the average annual maximum sea surface temperature during the same period. Calcification rate
affects the growth of coral, with higher rates corresponding to greater growth. The table contains data for these 12 localities.
Maximum sea surface temperature (°C)
and calcification rate (g cm² yr¯¹)
Maximum Sea
Surface
Temperature
29.4
29.4
29.4
29.6
29.1
28.7
Calcification
Rate
1.48
1.53
1.52
1.48
1.31
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Maximum Sea
Surface
Temperature
29.7
29.5
29.4
29.0
29.0
29.0
Calcification
Rate
1.63
1.53
1.46
1.24
1.29
1.12
To access the complete data set, click the link for your preferred software format:
Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt!
The residuals for average annual maximum sea surface…
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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