Dedication |
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V | |
Foreword |
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VII | |
Preface |
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XIII | |
List of Symbols |
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XV | |
I 1 Fundamentals of Mathematical Modeling of One-Dimensional Flows of Fluid and Gas in Pipelines |
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1.1 Mathematical Models and Mathematical Modeling |
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3 | |
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1.1.2 Schematization of One-Dimensional Flows of Fluids and Gases in Pipelines |
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1.2 Integral Characteristics of Fluid Volume |
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1.3 The Law of Conservation of Transported Medium Mass. The Continuity Equation |
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1.4 The Law of Change in Momentum. The Equation of Fluid Motion |
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1.5 The Equation of Mechanical Energy Balance |
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1.5.2 Input of External Energy |
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1.6 Equation of Change in Internal Motion Kinetic Energy |
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1.6.1 Hydraulic Losses (of Mechanical Energy) |
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1.6.2 Formulas for Calculation of the Factor λ(Re, epsilon) |
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1.7 Total Energy Balance Equation |
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1.8 Complete System of Equations for Mathematical Modeling of One-Dimensional Flows in Pipelines |
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2 Models of Transported Media |
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2.2 Models of Ideal and Viscous Fluids |
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2.3 Model of an Incompressible Fluid |
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2.4 Model of Elastic (Slightly Compressible) Fluid |
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2.5 Model of a Fluid with Heat Expansion |
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2.6 Models of Non-Newtonian Fluids |
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2.7 Models of a Gaseous Continuum |
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2.7.1 Model of a Perfect Gas |
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2.7.2 Model of a Real Gas |
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2.8 Model of an Elastic Deformable Pipeline |
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3 Structure of Laminar and Turbulent Flows in a Circular Pipe |
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3.1 Laminar Flow of a Viscous Fluid in a Circular Pipe |
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3.2 Laminar Flow of a Non-Newtonian Power Fluid in a Circular Pipe |
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3.3 Laminar Flow of a Viscous-Plastic Fluid in a Circular Pipe |
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3.4 Transition of Laminar Flow of a Viscous Fluid to Turbulent Flow |
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3.5 Turbulent Fluid Flow in a Circular Pipe |
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3.6 A Method to Control Hydraulic Resistance by Injection of Anti-Turbulent Additive into the Flow |
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3.7 Gravity Fluid Flow in a Pipe |
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4 Modeling and Calculation of Stationary Operating Regimes of Oil and Gas Pipelines |
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4.1 A System of Basic Equations for Stationary Flow of an Incompressible Fluid in a Pipeline |
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4.2 Boundary Conditions. Modeling of the Operation of Pumps and Oil-Pumping Stations |
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4.2.2 Oil-Pumping Station |
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4.3 Combined Operation of Linear Pipeline Section and Pumping Station |
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4.4 Calculations on the Operation of a Pipeline with Intermediate Oil-Pumping Stations |
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4.5 Calculations on Pipeline Stationary Operating Regimes in Fluid Pumping with Heating |
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4.6 Modeling of Stationary Operating Regimes of Gas-Pipeline Sections |
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4.6.1 Distribution of Pressure in Stationary Gas Flow in a Gas-Pipeline |
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4.6.2 Pressure Distribution in a Gas-Pipeline with Great Difference in Elevations |
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4.6.3 Calculation of Stationary Operating Regimes of a Gas-Pipeline (General Case) |
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4.6.4 Investigation of Thermal Regimes of a Gas-Pipeline Secbon |
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4.7 Modeling of Blower Operation |
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5 Closed Mathematical Models of One-Dimensional Non-Stationary Flows of Fluid and Gas in a Pipeline |
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5.1 A Model of Non-Stationary Isothermal Flow of a Slightly Compressible Fluid in a Pipeline |
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5.2 A Model of Non-Stationary Gas Flow in a Pipeline |
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5.3 Non-Stationary Flow of a Slightly Compressible Fluid in a Pipeline |
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5.3.2 Propagation of Waves in an Infinite Pipeline |
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5.3.3 Propagation of Waves in a Semi-Infinite Pipeline |
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5.3.4 Propagation of Waves in a Bounded Pipeline Section |
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5.3.5 Method of Characteristics |
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5.3.6 Initial, Boundary and Conjugation Conditions |
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5.3.7 Hydraulic Shock in Pipes |
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5.3.8 Accounting for Virtual Mass |
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5.3.9 Hydraulic Shock in an Industrial Pipeline Caused by Instantaneous Closing of the Gate Valve |
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5.4 Non-Isothermal Gas Flow in Gas-Pipelines |
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5.5 Gas Outflow from a Pipeline in the Case of a Complete Break of the Pipeline |
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5.6 Mathematical Model of Non-Stationary Gravity Fluid Flow |
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5.7 Non-Stationary Fluid Flow with Flow Discontinuities in a Pipeline |
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6 Dimensional Theory |
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6.1 Dimensional and Dimensionless Quantities |
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6.2 Primary (Basic) and Secondary (Derived) Measurement Units |
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6.3 Dimensionality of Quantities. Dimensional Formula |
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6.4 Proof of Dimensional Formula |
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6.5 Central Theorem of Dimensional Theory |
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6.6 Dimensionally-Dependent and Dimensionally-Independent Quantities |
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6.7 Buckingham II-Theorem |
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7 Physical Modeling of Phenomena |
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7.1 Similarity of Phenomena and the Principle of Modeling |
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173 | |
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7.3 Modeling of Viscous Fluid Flow in a Pipe |
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7.4 Modeling Gravity Fluid Flow |
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7.5 Modeling the Fluid Outflow from a Tank |
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7.6 Similarity Criteria for the Operation of Centrifugal Pumps |
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8 Dimensionality and Similarity in Mathematical Modeling of Processes |
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183 | |
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8.1 Origination of Similarity Criteria in the Equations of a Mathematical Model |
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183 | |
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8.2 One-Dimensional Non-Stationary Flow of a Slightly Compressible Fluid in a Pipeline |
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8.3 Gravity Fluid Flow in a Pipeline |
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8.4 Pipeline Transportation of Oil Products. Batching |
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8.4.1 Principle of Oil Product Batching by Direct Contact |
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8.4.2 Modeling of Mixture Formation in Oil Product Batching |
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8.4.3 Equation of Longitudinal Mixing |
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192 | |
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8.4.4 Self-Similar Solutions |
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194 | |
References |
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199 | |
Appendices |
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201 | |
Author Index |
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205 | |
Subject Index |
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207 | |