Thompson Basic Hydrodynamics

1. Auflage 2013
ISBN: 978-1-4831-4073-5
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 190 Seiten, Web PDF

Basic Hydrodynamics explores the application of computers to problem solving involved in fluid flow. This book contains 5 chapters that cover the use of BASIC programming language in hydrodynamic problems and some programs with graphic output, as well as some simple finite difference, finite element and boundary element programs. After a brief introduction to BASIC programming, this book goes discussing the fundamentals of potential flow theory that will be used to calculate flows, which can be regarded as frictionless. These topics are followed by a presentation of some analytical expressions for potential flows. Chapter 3 outlines the computer based methods for solving problems within these flows, while Chapter 4 highlights some potential flow methods to the solution of groundwater flows. Exact solutions are also provided for comparison with the computer methods. Lastly, Chapter 5 considers free surface flows, such as linear waves and flows from jets. This work will be of value to engineers, designers, and computer programmers and scientists who are interested in computer application to hydrodynamics field.

Autoren/Hrsg.

Thompson, A. C.

Inhaltsverzeichnis

1;Front Cover;1
2;Basic Hydrodynamics;4
3;Copyright Page;5
4;Table of Contents;8
5;Preface;6
6;Chapter 1. Introduction to BASIC;12
6.1;1.1 The BASIC philosophy;12
6.2;1.2 Elementary BASIC;12
6.3;1.3 Checking programs;19
6.4;1.4 Versions of BASIC and different computers;19
6.5;1.5 Bibliography;21
7;Chapter 2. Potential flow fundamentals;22
7.1;2.1 Stream function;22
7.2;2.2 Velocity potential;24
7.3;2.3 Flow nets;27
7.4;2.4 Sketching flow nets;28
7.5;2.5 Combining simple solutions;29
7.6;2.6 Mapping;33
7.7;2.7 Bernoulli's equation;35
7.8;2.8 Application of Bernoulli's equation;38
7.9;2.9 Pressure in a circular passage;38
7.10;2.10 Forces on a circle with a circulation;39
7.11;2.11 Expression for pressures and forces;41
7.12;2.12 Boundary layer on a flat plate;42
7.13;2.13 Bibliography;45
7.14;WORKED EXAMPLES;46
7.15;PROBLEMS;63
8;Chapter 3. Numerical solutions to potential flows;66
8.1;3.1 General approach;66
8.2;3.2 The finite difference method—principles;66
8.3;3.3 Finite difference equations;68
8.4;3.4 Finite differences–boundary values;69
8.5;3.5 Solution of finite difference equations;69
8.6;3.6 The finite element method;70
8.7;3.7 Boundary element methods;75
8.8;3.8 Bibliography;76
8.9;WORKED EXAMPLES;76
8.10;Problems;91
9;Chapter 4. Seepage flows;94
9.1;4.1 Introduction;94
9.2;4.2 Confined flow under a dam;94
9.3;4.3 Confined flow into excavations;98
9.4;4.4 Flows with variable permeability;101
9.5;4.5 Free surface flow on a shallow foundation;105
9.6;4.6 Horizontal seepage flow;111
9.7;4.7 Flow in confined and unconfined aquifers;112
9.8;4.8 Well near a boundary;113
9.9;4.9 Time varying seepage;116
9.10;4.10 Bibliography;118
9.11;WORKED EXAMPLES;118
9.12;PROBLEMS;138
10;Chapter 5. Free surface flows;144
10.1;5.1 Water surface waves;144
10.2;5.2 Reflection of waves (linear theory);146
10.3;5.3 Complex potential for waves;149
10.4;5.4 The boundary element method and waves;149
10.5;5.5 Reflected and transmitted waves;152
10.6;5.6 Forces on large 2D objects fixed in waves;154
10.7;5.7 Wave forces on vertical cylinders;155
10.8;5.8 Wave forces on large vertical cylinders;157
10.9;5.9 Other free surface flows;158
10.10;5.10 The x-. coordinate system;158
10.11;5.11 Flows from an orifice;160
10.12;5.12 Sluice gates;161
10.13;5.13 Weirs and spillways;163
10.14;5.14 Bibliography;166
10.15;WORKED EXAMPLES;167
10.16;PROBLEMS;183
11;Index;188