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Modeling of Oil Product and Gas Pipeline Transportation [Kõva köide]

Translated by , (Russian State University of Oil and Gas)
  • Formaat: Hardback, 234 pages, kõrgus x laius x paksus: 245x178x17 mm, kaal: 585 g
  • Ilmumisaeg: 08-Oct-2008
  • Kirjastus: Blackwell Verlag GmbH
  • ISBN-10: 3527408339
  • ISBN-13: 9783527408337
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  • Formaat: Hardback, 234 pages, kõrgus x laius x paksus: 245x178x17 mm, kaal: 585 g
  • Ilmumisaeg: 08-Oct-2008
  • Kirjastus: Blackwell Verlag GmbH
  • ISBN-10: 3527408339
  • ISBN-13: 9783527408337
Teised raamatud teemal:
Based on a well tried-and-tested lecture at the Russian State University of Oil and Gas, this accessible approach to the theory of pipeline transportation provides systematic coverage of various kinds of fluids, backed by real-world examples.
From the contents:
* Fundamentals of mathematical modeling of one-dimensional flows
* Models of transported media
* Structure of laminar and turbulent fluid flows
* Modeling and calculation of steady-state regimes
* Closed mathematical models of one-dimensional fluid and gas flows
* Dimensional theory
* Physical modeling of phenomena
* Dimension and similarity in mathematical modeling of processes
End-of-chapter problems make this practical book consistent and suitable for self-study.
Dedication V
Foreword VII
Preface XIII
List of Symbols XV
I 1 Fundamentals of Mathematical Modeling of One-Dimensional Flows of Fluid and Gas in Pipelines 1
1.1 Mathematical Models and Mathematical Modeling
1
1.1.1 Governing Factors
3
1.1.2 Schematization of One-Dimensional Flows of Fluids and Gases in Pipelines
4
1.2 Integral Characteristics of Fluid Volume
5
1.3 The Law of Conservation of Transported Medium Mass. The Continuity Equation
7
1.4 The Law of Change in Momentum. The Equation of Fluid Motion
9
1.5 The Equation of Mechanical Energy Balance
11
1.5.1 Bernoulli Equation
15
1.5.2 Input of External Energy
16
1.6 Equation of Change in Internal Motion Kinetic Energy
17
1.6.1 Hydraulic Losses (of Mechanical Energy)
18
1.6.2 Formulas for Calculation of the Factor λ(Re, epsilon)
20
1.7 Total Energy Balance Equation
22
1.8 Complete System of Equations for Mathematical Modeling of One-Dimensional Flows in Pipelines
29
2 Models of Transported Media 31
2.1 Model of a Fluid
31
2.2 Models of Ideal and Viscous Fluids
32
2.3 Model of an Incompressible Fluid
34
2.4 Model of Elastic (Slightly Compressible) Fluid
34
2.5 Model of a Fluid with Heat Expansion
34
2.6 Models of Non-Newtonian Fluids
36
2.7 Models of a Gaseous Continuum
38
2.7.1 Model of a Perfect Gas
39
2.7.2 Model of a Real Gas
39
2.8 Model of an Elastic Deformable Pipeline
42
3 Structure of Laminar and Turbulent Flows in a Circular Pipe 45
3.1 Laminar Flow of a Viscous Fluid in a Circular Pipe
45
3.2 Laminar Flow of a Non-Newtonian Power Fluid in a Circular Pipe
47
3.3 Laminar Flow of a Viscous-Plastic Fluid in a Circular Pipe
49
3.4 Transition of Laminar Flow of a Viscous Fluid to Turbulent Flow
51
3.5 Turbulent Fluid Flow in a Circular Pipe
52
3.6 A Method to Control Hydraulic Resistance by Injection of Anti-Turbulent Additive into the Flow
62
3.7 Gravity Fluid Flow in a Pipe
65
4 Modeling and Calculation of Stationary Operating Regimes of Oil and Gas Pipelines 73
4.1 A System of Basic Equations for Stationary Flow of an Incompressible Fluid in a Pipeline
73
4.2 Boundary Conditions. Modeling of the Operation of Pumps and Oil-Pumping Stations
75
4.2.1 Pumps
75
4.2.2 Oil-Pumping Station
78
4.3 Combined Operation of Linear Pipeline Section and Pumping Station
81
4.4 Calculations on the Operation of a Pipeline with Intermediate Oil-Pumping Stations
84
4.5 Calculations on Pipeline Stationary Operating Regimes in Fluid Pumping with Heating
87
4.6 Modeling of Stationary Operating Regimes of Gas-Pipeline Sections
92
4.6.1 Distribution of Pressure in Stationary Gas Flow in a Gas-Pipeline
94
4.6.2 Pressure Distribution in a Gas-Pipeline with Great Difference in Elevations
96
4.6.3 Calculation of Stationary Operating Regimes of a Gas-Pipeline (General Case)
97
4.6.4 Investigation of Thermal Regimes of a Gas-Pipeline Secbon
98
4.7 Modeling of Blower Operation
100
5 Closed Mathematical Models of One-Dimensional Non-Stationary Flows of Fluid and Gas in a Pipeline 109
5.1 A Model of Non-Stationary Isothermal Flow of a Slightly Compressible Fluid in a Pipeline
109
5.2 A Model of Non-Stationary Gas Flow in a Pipeline
112
5.3 Non-Stationary Flow of a Slightly Compressible Fluid in a Pipeline
113
5.3.1 Wave Equation
113
5.3.2 Propagation of Waves in an Infinite Pipeline
115
5.3.3 Propagation of Waves in a Semi-Infinite Pipeline
117
5.3.4 Propagation of Waves in a Bounded Pipeline Section
119
5.3.5 Method of Characteristics
121
5.3.6 Initial, Boundary and Conjugation Conditions
124
5.3.7 Hydraulic Shock in Pipes
127
5.3.8 Accounting for Virtual Mass
134
5.3.9 Hydraulic Shock in an Industrial Pipeline Caused by Instantaneous Closing of the Gate Valve
135
5.4 Non-Isothermal Gas Flow in Gas-Pipelines
138
5.5 Gas Outflow from a Pipeline in the Case of a Complete Break of the Pipeline
146
5.6 Mathematical Model of Non-Stationary Gravity Fluid Flow
149
5.7 Non-Stationary Fluid Flow with Flow Discontinuities in a Pipeline
152
6 Dimensional Theory 157
6.1 Dimensional and Dimensionless Quantities
157
6.2 Primary (Basic) and Secondary (Derived) Measurement Units
158
6.3 Dimensionality of Quantities. Dimensional Formula
159
6.4 Proof of Dimensional Formula
161
6.5 Central Theorem of Dimensional Theory
163
6.6 Dimensionally-Dependent and Dimensionally-Independent Quantities
164
6.7 Buckingham II-Theorem
168
7 Physical Modeling of Phenomena 173
7.1 Similarity of Phenomena and the Principle of Modeling
173
7.2 Similarity Criteria
174
7.3 Modeling of Viscous Fluid Flow in a Pipe
175
7.4 Modeling Gravity Fluid Flow
176
7.5 Modeling the Fluid Outflow from a Tank
178
7.6 Similarity Criteria for the Operation of Centrifugal Pumps
179
8 Dimensionality and Similarity in Mathematical Modeling of Processes 183
8.1 Origination of Similarity Criteria in the Equations of a Mathematical Model
183
8.2 One-Dimensional Non-Stationary Flow of a Slightly Compressible Fluid in a Pipeline
184
8.3 Gravity Fluid Flow in a Pipeline
186
8.4 Pipeline Transportation of Oil Products. Batching
187
8.4.1 Principle of Oil Product Batching by Direct Contact
188
8.4.2 Modeling of Mixture Formation in Oil Product Batching
189
8.4.3 Equation of Longitudinal Mixing
192
8.4.4 Self-Similar Solutions
194
References 199
Appendices 201
Author Index 205
Subject Index 207
Michail V. Lurie is professor with Russian State University of Oil and Gas, Dept. of Pipeline Transportation Systems. There he has been teaching this topic in a well established and tested lecture. Emmanuil G. Sinaiski received a doctorate in petroleum engineering from Gubkin-State University of Oil&Gas, Moscow, Russia, where he was later appointed a full professor. He has published numerous books and scientific articles.