Computational Hydraulics

Computational Hydraulics provides an introduction to computational techniques for hydraulic and fluid flow engineers. It combines classical hydraulics with new methods such as finite elements and boundary elements, which are both presented in a matrix formulation. The most interesting feature of the book is the integrated treatment given to the theoretical and computing aspects of numerical methods. The format presents a series of complete computer programs, for linear and non-linear pipe network analysis, depth flow computations, and finite and boundary elements for Laplace equations. The programs, which are written in standard FORTRAN, are self-contained and easy to implement in any computer. The book is the product of several years' experience in teaching and research at undergraduate and post-graduate level and can be used to offer a self-contained course on Computational Hydraulics for final year or M.Sc. Engineering students. The authors hope that this book will make practicing hydraulic engineers more aware of modern computer techniques and be useful in teaching them to the next generation.

Table of Contents:
PrefaceList of ProgramsChapter 1 Properties of Fluids 1.1 Introduction 1.2 Basic Definitions 1.3 Hydrostatic Pressure 1.4 Hydrostatic Pressure Forces on Submerged Bodies 1.5 BuoyancyChapter 2 Basic Concepts of Fluids in Movement 2.1 Introduction 2.2 Pathlines and Streamlines 2.3 Continuity Equation 2.4 Bernouilli's Equation 2.5 Applications of Bernouilli's Equations 2.6 The Momentum Equation for Steady Flow 2.7 Applications of the Momentum Equation 2.8 Flow along a Curvilinear Path 2.9 Behavior of Real Fluids 2.10 Dimensionless NumbersChapter 3 Pipe Flow 3.1 Introduction 3.2 Turbulent Flow: Darcy-Weisbach Formula 3.3 Effects of Rugosity in Turbulent Flow 3.4 Empirical Formula 3.5 Summary of FormulaChapter 4 Pipe Networks 4.1 Introduction 4.2 Energy Losses 4.3 Element Analysis 4.4 Element Matrix Equation 4.5 Total System of Equations 4.6 Boundary Conditions 4.7 Solution of the System of Equations and Evaluation of Results 4.8 Computer Program for the Linear Analysis of Pipe Networks 4.9 Non-Linear Analysis of Pipe Networks 4.10 Program for Non-Linear Analysis of Pipe NetworksChapter 5 Open Channel Flow 5.1 Introduction 5.2 Basic Principles of Uniform Flow 5.3 Chezy and Manning Formula 5.4 Optimum Hydraulic Section for Uniform Flow 5.5 Program for Computation of Depth of Flow 5.6 Non-Uniform Flow 5.7 The Analysis of Open Channel FlowChapter 6 Potential Flow 6.1 Introduction 6.2 Euler's Equations of Motion 6.3 Irrotational Flow 6.4 Integration of Euler's Equations 6.5 Stream Function Formulation 6.6 Flow Nets 6.7 Some Flow Nets for Two-Dimensional Flow 6.8 Finite Element Solution of Potential Flow Problems 6.9 Finite Element Computer Program for the Solution of the Laplace Equation 6.10 Boundary Element Solution of Potential Flow Problems 6.11 Boundary Element Program for the Solution of the Laplace EquationChapter 7 Navier-Stokes Equations 7.1 Introduction 7.2 Equilibrium Equations 7.3 Constitutive Equations: Newtonian Fluids 7.4 Navier-Stokes Equations for Incompressible Newtonian Fluid 7.5 Turbulence 7.6 ApplicationsChapter 8 Turbomachinery 8.1 Introduction 8.2 Basic Theory 8.3 Impulse Turbines 8.4 Characteristic Curves 8.5 Specific Speed 8.6 CavitationSolutionsIndex