Modeling of Oil Product and Gas Pipeline Transportation Book

Dedication Page.

Foreword.

Preface.

List of Symbols.

1. Fundamentals of Mathematical Modeling of One-Dimensional Flows of Fluid and Gas in Pipelines.

1.1 Mathematical Models and Mathematical Modeling.

1.2 Integral Characteristics of Fluid Volume.

1.3 The Law of Conservation of Transported Medium Mass.

1.4 The Law of Change in Momentum. The Equation of Fluid Motion.

1.5 The Equation of Mechanical Energy Balance.

1.6 Equation of Change in Internal Motion Kinetic Energy.

1.7 Total Energy Balance Equation.

1.8 Complete System of Equations for Mathematical Modeling of One-Dimensional Flows in Pipelines.

2. Models of Transported Media.

2.1 Model of a Fluid.

2.2 Models of Ideal and Viscous Fluids.

2.3 Model of an Incompressible Fluid.

2.4 Model of Elastic (slightly Compressible) Fluid.

2.5 Model of a Fluid with Heat Expansion.

2.6 Models of Non-Newtonian Fluids.

2.7 Models of Gaseous Continuum.

2.8 Model of an Elastic Deformable Pipeline.

3. Structure of Laminar and Turbulent Flows in a Circular Pipe.

3.1 Laminar Flow of a Viscous Fluid in a Circular Pipe.

3.2 Laminar Flow of a Non-Newtonian Power Fluid in a Cricular Pipe.

3.3 Laminar Flow of a Viscous-Plastic Fluid in a Circular Pipe.

3.4 Transition of Laminar Flow of a Viscous Fluid to Turbulent Flow.

3.5 Turbulent Fluid Flow in a Circular Pipe.

3.6 A Method to Control Hydraulic Resistance by Injection of Anti-Turbulent Additive into the Flow.

3.7 Gravity Fluid Flow in a Pipe.

4. Modeling and Calculation of Stationary Operating Regimes of Oil and Gas Pipelines.

4.1 A System of Basic Equations for Stationary Flow of an Incompressible Fluid in a Pipeline.

4.2 Boundary Conditions. Modeling of the Operation of Pumps and Oil-Pumping Stations.

4.3 Combined Operation of Linear Pipeline Section and Pumping Station.

4.4 Calculations on the Operation of a Pipeline with Intermediate Oil-Pumping Stations.

4.5 Calculations on Pipeline Stationary Operating Regimes in Fluid Pumping with Heating.

4.6 Modeling of Stationary Operating Regimes of Gas-Pipeline Sections.

4.7 Modeling of Blower Operation.

5. Closed Mathematical Models of One-Dimensional Non-Stationary Flows of Fluid and Gas in a Pipeline.

5.1 A Model of Non-stationary Isothermal Flow of a Slightly Compressible Fluid in a Pipeline.

5.2 A Model of Non-stationary Gas Flow in a Pipeline.

5.3 Non-stationary Flow of a Slightly Compressible Fluid in a Pipeline.

5.4 Non-Isothermal Gas Flow in Gas-Pipelines.

5.5 Gas Outflow from a Pipeline in the Case of a Complete Break of the Pipeline.

5.6 Mathematical Model of Non-Stationary Gravity Fluid Flow.

5.7 Non-Stationary Fluid Flow with Flow Discontinuities in a Pipeline.

6. Dimensional theory.

6.1 Dimensional and Dimensionless Quantities.

6.2 Primary (Basic) and Secondary (Derived) Measurement Units.

6.3 Dimensionality of Quantities. Dimensional Formula.

6.4 Proof of Dimensional Formula.

6.5 Central Theorem of Dimensional Theory.

6.6 Dimensionally-Dependent and Dimensionally-Independent Quantities.

6.7 Buckingham ϖ-Theorem.

7. Physical Modeling of Phenomena.

7.1 Similarity of Phenomena and the Principle of Modeling.

7.2 Similarity Criteria.

7.3 Modeling of Viscous Fluid Flow in a Pipe.

7.4 Modeling Gravity Fluid Flow.

7.5 Modeling the Fluid Outflow from a Tank.

7.6 Similarity Criteria for the Operation of Centrifugal Pumps.

8. Dimensionality and Similarity in Mathematical Modeling of Processes.

8.1 Origination of Similarity Criteria in the Equation of a Mathematical Model.

8.2 One-Dimensional Non-Stationary Flow of a lightly Compressible Fluid in a Pipeline.

8.3 Gravity Fluid Flow in a Pipeline.

8.4 Pipeline Transportation of Oil Products. Batching.

References.

Appendices.

Author Index.

Subject Index.