Basic Hydrodynamics (eBook)

A. C. Thompson (Autor)

eBook Download: PDF

2013 | 1. Auflage
190 Seiten
Elsevier Science (Verlag)
978-1-4831-4073-5 (ISBN)

Infos

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.

Inhalt

Front Cover 1
Basic Hydrodynamics 4
Copyright Page 5
Table of Contents 8
Preface 6
Chapter 1. Introduction to BASIC 12
1.1 The BASIC philosophy 12
1.2 Elementary BASIC 12
1.3 Checking programs 19
1.4 Versions of BASIC and different computers 19
1.5 Bibliography 21
Chapter 2. Potential flow fundamentals 22
2.1 Stream function 22
2.2 Velocity potential 24
2.3 Flow nets 27
2.4 Sketching flow nets 28
2.5 Combining simple solutions 29
2.6 Mapping 33
2.7 Bernoulli's equation 35
2.8 Application of Bernoulli's equation 38
2.9 Pressure in a circular passage 38
2.10 Forces on a circle with a circulation 39
2.11 Expression for pressures and forces 41
2.12 Boundary layer on a flat plate 42
2.13 Bibliography 45
WORKED EXAMPLES 46
PROBLEMS 63
Chapter 3. Numerical solutions to potential flows 66
3.1 General approach 66
3.2 The finite difference method—principles 66
3.3 Finite difference equations 68
3.4 Finite differences–boundary values 69
3.5 Solution of finite difference equations 69
3.6 The finite element method 70
3.7 Boundary element methods 75
3.8 Bibliography 76
WORKED EXAMPLES 76
Problems 91
Chapter 4. Seepage flows 94
4.1 Introduction 94
4.2 Confined flow under a dam 94
4.3 Confined flow into excavations 98
4.4 Flows with variable permeability 101
4.5 Free surface flow on a shallow foundation 105
4.6 Horizontal seepage flow 111
4.7 Flow in confined and unconfined aquifers 112
4.8 Well near a boundary 113
4.9 Time varying seepage 116
4.10 Bibliography 118
WORKED EXAMPLES 118
PROBLEMS 138
Chapter 5. Free surface flows 144
5.1 Water surface waves 144
5.2 Reflection of waves (linear theory) 146
5.3 Complex potential for waves 149
5.4 The boundary element method and waves 149
5.5 Reflected and transmitted waves 152
5.6 Forces on large 2D objects fixed in waves 154
5.7 Wave forces on vertical cylinders 155
5.8 Wave forces on large vertical cylinders 157
5.9 Other free surface flows 158
5.10 The x-. coordinate system 158
5.11 Flows from an orifice 160
5.12 Sluice gates 161
5.13 Weirs and spillways 163
5.14 Bibliography 166
WORKED EXAMPLES 167
PROBLEMS 183
Index 188

Produkt-Details

• Erscheint lt. Verlag: 17.9.2013
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik
• Themenwelt: Technik ► Maschinenbau
• ISBN-10: 1-4831-4073-3 / 1483140733
• ISBN-13: 978-1-4831-4073-5 / 9781483140735