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99803 |
Supplementary Print |
Price:
FREE with membership |
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Gravity-Fed Water Delivery Systems
Andrew Dornbush, Paul Isihara with Timothy Dennison, Kristianna Russo, and David Schultz
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Mathematics Topic:
Calculus 2, Difference Equations |
Application Areas:
Fluid mechanics, engineering |
Prerequisites:
Courses in calculus and physics (mechanics) |
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| ©2010 by COMAP, Inc. | The UMAP Journal 31.4 | 42 pages |
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This Module introduces calculus students to elementary
fluid mechanics applied to the modeling of simple
gravity-fed water delivery systems, which are of
great importance in the developing world. We first derive
Bernoulli’s equation so as to understand the relations
among pressure, velocity, and elevation as a
fluid particle travels along a streamline. Next, we apply
Bernoulli’s equation to analyze pressure build-up
and flow rates in a simple water-delivery system. We
then incorporate break-pressure tanks, pipes of different
diameters, and frictional effects for both laminar
and turbulent flow. Finally, we discuss the design and
installationof gravity-fedwater deliverysystems in Micronesia
and Honduras.
Table of Contents
1. INTRODUCTION
2. DERIVATION OF BERNOULLI’S EQUATION
3. APPLICATION TO GRAVITY-FEDWATER SUPPLY SYSTEMS
3.1 Basic Case
3.2 Break-Pressure Tanks
3.3 Water-Flow Rates
4. VISCOUS FLOW IN PIPES
4.1 Head Loss
4.2 Reynolds Number
4.3 Laminar Flow
4.4 Turbulent Flow
4.5 Pipe Selection
5. DESIGNING A SYSTEM
6. CASE STUDY: HONDURAS
7. FURTHER DIRECTIONS
8. SOLUTIONS TO THE EXERCISES
REFERENCES
ABOUT THE AUTHORS
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