EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 23, Problem 29P

The amount of mass transported via a pipe over a period of time can be computed as

M = t 1 t 2 Q ( t ) c ( t ) d t

where M = mass (mg), t 1 = the initial time (min), t 2 = the final time (min), Q ( t ) = flow rate (m3/min), and c ( t ) = concentration (mg/m3). The following functional representations define the temporal variations in flow and concentration,

Q ( t ) = 9 + 4 cos 2 ( 0.4 t )

c ( t ) = 5 e 0.5 t + 2 e 0.15 t

Determine the mass transported between t 1 = 2 and t 2 = 8 min with

(a) Romberg integration to a tolerance of 0.1%, and

(b) The MATLAB quad function.

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Chapter 23 Solutions

EBK NUMERICAL METHODS FOR ENGINEERS

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