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Pressure Wave Analysis of Transient Flow in Pipe Distribution Systems

FORWARD

ACKNOWLEDGMENTS

CHAPTER 1. INTRODUCTION

1.1
1.2
1.3








1.4
1.5

Importance of Hydraulic Transient Analysis
Causes of Hydraulic Transients
Kinematics of Unsteady Flow
1.3.1 Extended Period Simulation (Quasi-Steady)
1.3.2 Extended Period Simulation: Draining Tank
1.3.3 Extended Period Simulation: Filling Tandem Tanks
1.3.4 Rigid Water Column Theory (Lumped Parameter)
1.3.5 Rigid Water Column Theory: Flow Establishment
1.3.6 Rigid Water Column Theory: Draining Tank
1.3.7 Waterhammer Theory (Distributed Parameter)
1.3.8 Waterhammer Theory: Instantaneous Valve Closure
Basic Transient Equations and Solution Techniques
Comparing the WCM and the MOC
1.5.1 MOC and WCM Numerical Techniques
1.5.2 Required Number of Calculations
1.5.3 Computer Tools for the WCM
 
CHAPTER 2. THE WAVE CHARACTERISTIC METHOD
2.1

2.2
2.3
2.4








2.5
Basic Relations
2.1.1 Exercises: Wave Speed
\The Wave Characteristic Method
2.3 Illustrating the Wave Characteristic Method
Component Analysis
2.4.1 Component Characteristic
2.4.2 Pipe Leading from a Reservoir to a Closing Valve
2.4.3 Exercises: Component Characteristic Coefficients
2.4.4 Example Component Computer Routine
2.4.5 Illustrating the Wave Action at Components
2.4.6 Application to Resistive Elements
2.4.7 Application to Active Elements (Pumps)
2.4.8 Exercises: Wave Action at Components
Pipe Junction Analysis
2.5.1 Example Junction Computer Routine
2.5.2 Exercises: Wave Action at Junctions
 
CHAPTER 3. CAVITATION ANALYSIS
3.1



3.2


Formation of Vapor Cavities
3.1.1 Effect of Vapor Cavities
3.1.2 Example of Vapor Cavity Analysis
3.1.3 Passive Cavitation at Pumps
Side Discharge Orifice Analysis
3.2.1 Wave Action at a Side Discharge Orifice
3.2.2 Examples of Action at a Side Discharge Orifice
3.2.3 Example SDO Computer Routine
3.2.4 Exercises: SDO Wave Action Calculations

 
CHAPTER 4. COMPONENT ANALYSIS FOR SPECIFIC DEVICES
4.1.





4.2




4.3
4.4
4.5
Modeling Valve Operation
4.1.1 Valve Flow Coefficients
4.1.2 Closure Characteristics of Standard Valves
4.1.3 Valve Stem Position
4.1.4 Valve Stroking
4.1.5 Exercise: Valve Closures
Modeling Pump Operation
4.2.1 A, B and C defined as Constant for All Calculations
4.2.2 A and B Vary With Pump Speed
4.2.3 Four Quadrant Pump Characteristics
4.2.4 Series and Parallel Pumps
Modeling Components in Series and Parallel
Pressure Surge Control Devices
Modeling Pressure Surge Control Devices Using Side Discharge Orifice Analysis
 
CHAPTER 5. COMPUTER MODELING OF TRANSIENT FLOWS
5.1
5.2
5.3
Modeling Requirements
Wave Characteristic Method Computer Solution
Using the Wave Characteristic Program
 
CHAPTER 6. DEMONSTRATION EXAMPLES
6.1




6.2
Example 1: Typical Municipal Water System Transients
6.1.1 Transient Situations
6.1.2 Steady State Operation
6.1.3 Transient Operation
6.1.4 Discussion of Example 1 Results
Example 2: Controlled Shutdown of a Long Gravity Fed Pipeline
6.2.1 Closing One Valve
6.2.2 Closing Interior Valves
6.2.3 Discussion of Example 2 Results
 
REFERENCES
 
APPENDICES
  Appendix A
Appendix B
Appendix C
Appendix D
Appendix E
Appendix F




Appendix G
Appendix H
Nomenclature
Method of Characteristics
Wave Method Calculator
Wave Action Calculator
Examples and Comparisons
Calculation Tools
F.1 Wave Speed Calculation Tool
F.2 Head-Flow Characteristic Calculation Tool
F.3 Resistance Calculation Tool
F.4 Valve Stroking Tool
Properties of Water
C Program Listings

INDEX



 
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