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# A pond drains through a pipe as shown in Fig. P22.21. Under a number of simplifying ISBN: 9780073401102 336

## Solution for problem 22.21 Chapter 22

Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition

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Problem 22.21

A pond drains through a pipe as shown in Fig. P22.21. Under a number of simplifying assumptions, the following differential equation describes how depth changes with time: dh dt = d2 4A(h) 2g(h + e) where h = depth (m), t = time (s), d = pipe diameter (m), A(h) = pond surface area as a function of depth (m2 ), g = gravitational constant (= 9.81 m/s2 ), and e = depth of pipe outlet below the pond bottom (m). Based on the following area-depth table, solve this differential equation to determine how long it takes for the pond to empty, given that h(0) = 6 m, d = 0.25 m, e = 1 m.

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Notes SES100 Phillip Christensen 10/14/2016 A. Matrices a. Computers work with arrays, or matrices of numbers i. Row Matrix ii. Ex. - (1,2,3,4 etc) iii. Ex. - iv. Matrix - 5 Rows & 4 Columns v. To refer to an element in matrix...

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##### ISBN: 9780073401102

This full solution covers the following key subjects: . This expansive textbook survival guide covers 24 chapters, and 496 solutions. The full step-by-step solution to problem: 22.21 from chapter: 22 was answered by , our top Engineering and Tech solution expert on 03/05/18, 09:01PM. Applied Numerical Methods W/MATLAB: for Engineers & Scientists was written by and is associated to the ISBN: 9780073401102. The answer to “A pond drains through a pipe as shown in Fig. P22.21. Under a number of simplifying assumptions, the following differential equation describes how depth changes with time: dh dt = d2 4A(h) 2g(h + e) where h = depth (m), t = time (s), d = pipe diameter (m), A(h) = pond surface area as a function of depth (m2 ), g = gravitational constant (= 9.81 m/s2 ), and e = depth of pipe outlet below the pond bottom (m). Based on the following area-depth table, solve this differential equation to determine how long it takes for the pond to empty, given that h(0) = 6 m, d = 0.25 m, e = 1 m.” is broken down into a number of easy to follow steps, and 116 words. Since the solution to 22.21 from 22 chapter was answered, more than 573 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Applied Numerical Methods W/MATLAB: for Engineers & Scientists , edition: 3.

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