Modeling of Oil Product and Gas Pipeline Transportation

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.
End–of–chapter problems make this practical book consistent and suitable for self–study.
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


Spis treści:
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 i n 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 Dimensionali ty 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.

Nota biograficzna:
Michael V. Lurie is professor of engineering mechanics and head of the Laboratory of Oil and Gas Hydrodynamics at the Russian State Oil and Gas University. He graduated from the Mechanical and Mathematical Department of Moscow State University and received his Ph.D. degree in "Modeling of Continuous Media with complicated Properties′ from the same university in 1969. His research interests include oil and gas technologies and the mechanics of fluid and gas pipeline transportation. Professor Lurie has (co) authored scientific monographs, text books, and about 250 research papers, and he holds about 15 Russian and foreign patents. In 2005, he received the title of ′Honoured Science Worker of the Russian Federation′.

Okładka tylna:
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 transportatio n provides systematic coverage of various kinds of fluids, backed by real–world examples.
End–of–chapter problems make this practical book consistent and suitable for self–study.
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