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Analysis and modelling of non-steady flow in pipe and channel networks
Analysis and modeling of non-steady flow in pipe and channel networks
Analysis and Modelling of Non-Steady Flow in Pipe and Channel Networks deals with flows in pipes and channel networks from the standpoints of hydraulics and modelling techniques and methods. These engineering problems occur in the course of the design and construction of hydroenergy plants, water-supply and other systems. In this book, the author presents his experience in solving these problems from the early 1970s to the present day. During this period new methods of solving hydraulic problems have evolved, due to the development of computers and numerical methods. This book is accompanied by a website which hosts the author's software package, Simpip (an abbreviation of simulation of pipe flow) for solving non-steady pipe flow using the finite element method. The program also covers flows in channels. The book presents the numerical core of the SimpipCore program (written in Fortran). Key features: -Presents the theory and practice of modelling different flows in hydraulic networks -Takes a systematic approach and addresses the topic from the fundamentals -Presents numerical solutions based on finite element analysis -Accompanied by a website hosting supporting material including the SimpipCore project as a standalone program Analysis and Modelling of Non-Steady Flow in Pipe and Channel Networks is an ideal reference book for engineers, practitioners and graduate students across engineering disciplines.
Title Page; Copyright; Preface; Chapter 1: Hydraulic Networks; 1.1 Finite element technique; 1.2 Unified hydraulic networks; 1.3 Equation system; 1.4 Boundary conditions; 1.5 Finite element matrix and vector; Reference; Further reading; Chapter 2: Modelling of Incompressible Fluid Flow; 2.1 Steady flow of an incompressible fluid; 2.2 Gradually varied flow in time; 2.3 Unsteady flow of an incompressible fluid; References; Further Reading; Chapter 3: Natural Boundary Condition Objects; 3.1 Tank object; 3.2 Storage; 3.3 Surge tank; 3.4 Vessel; 3.5 Air valves; 3.6 Outlets; Reference
Further readingChapter 4: Water Hammer -- Classic Theory; 4.1 Description of the phenomenon; 4.2 Water hammer celerity; 4.3 Water hammer phases; 4.4 Under-pressure and column separation; 4.5 Influence of extreme friction; 4.6 Gradual velocity changes; 4.7 Influence of outflow area change; 4.8 Real closure laws; 4.9 Water hammer propagation through branches; 4.10 Complex pipelines; 4.11 Wave kinematics; Reference; Further reading; Chapter 5: Equations of Non-steady Flow in Pipes; 5.1 Equation of state; 5.2 Flow of an ideal fluid in a streamtube; 5.3 The real flow velocity profile
5.4 Control volume5.5 Mass conservation, equation of continuity; 5.6 Energy conservation law, the dynamic equation; 5.7 Flow models; 5.8 Characteristic equations; 5.9 Analytical solutions; Reference; Further reading; Chapter 6: Modelling of Non-steady Flow of Compressible Liquid in Pipes; 6.1 Solution by the method of characteristics; 6.2 Subroutine UnsteadyPipeMtx; 6.3 Comparison tests; Further reading; Chapter 7: Valves and Joints; 7.1 Valves; 7.2 Joints; 7.3 Test example; Reference; Further reading; Chapter 8: Pumping Units; 8.1 Introduction; 8.2 Euler's equations of turbo engines
8.3 Normal characteristics of the pump8.4 Dimensionless pump characteristics; 8.5 Pump specific speed; 8.6 Complete characteristics of turbo engine; 8.7 Drive engines; 8.8 Numerical model of pumping units; 8.9 Pumping element matrices; 8.10 Examples of transient operation stage modelling; 8.11 Analysis of operation and types of protection against pressure excesses; 8.12 Something about protection of sewage pressure pipelines; 8.13 Pumping units in a pressurized system with no tank; Reference; Further reading; Chapter 9: Open Channel Flow; 9.1 Introduction
9.2 Steady flow in a mildly sloping channel9.3 Uniform flow in a mildly sloping channel; 9.4 Non-uniform gradually varied flow; 9.5 Sudden changes in cross-sections; 9.6 Steady flow modelling; 9.7 Wave kinematics in channels; 9.8 Equations of non-steady flow in open channels; 9.9 Equation of characteristics; 9.10 Initial and boundary conditions; 9.11 Non-steady flow modelling; References; Further reading; Chapter 10: Numerical Modelling in Karst; 10.1 Underground karst flows; 10.2 Conveyance of the karst channel system; 10.3 Modelling of karst channel flows
Includes bibliographical references and index.