Worlds of Flow: A history of hydrodynamics from the Bernoullis to Prandtl

Worlds of Flow: A history of hydrodynamics from the Bernoullis to Prandtl

by Olivier Darrigol
     
 

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ISBN-10: 0199559112

ISBN-13: 9780199559114

Pub. Date: 02/16/2009

Publisher: Oxford University Press, USA

The first of its kind, this book is an in-depth history of hydrodynamics from its eighteenth-century foundations to its first major successes in twentieth-century hydraulics and aeronautics. It documents the foundational role of fluid mechanics in developing a new mathematical physics. It gives full and clear accounts of the conceptual breakthroughs of physicists

Overview

The first of its kind, this book is an in-depth history of hydrodynamics from its eighteenth-century foundations to its first major successes in twentieth-century hydraulics and aeronautics. It documents the foundational role of fluid mechanics in developing a new mathematical physics. It gives full and clear accounts of the conceptual breakthroughs of physicists and engineers who tried to meet challenges in the practical worlds of hydraulics, navigation, blood circulation, meteorology, and aeronautics, and it shows how hydrodynamics at last began to fulfill its early promise to unify the different worlds of flow. Richly illustrated, technically thorough, and sensitive to cross-cultural effects, this history should attract a broad range of historians, scientists, engineers, and philosophers and be a standard reference for anyone interested in fluid mechanics.

Product Details

ISBN-13:
9780199559114
Publisher:
Oxford University Press, USA
Publication date:
02/16/2009
Pages:
370
Product dimensions:
6.60(w) x 9.30(h) x 0.70(d)

Table of Contents

Conventions and notation xiii

1 The dynamical equations 1

1.1 Daniel Bernoulli's Hydrodynamica 4

1.2 Johann Bernoulli's Hydraulica 9

1.3 D'Alembert's fluid dynamics 11

1.4 Euler's equations 23

1.5 Lagrange's analysis 26

2 Water waves 31

2.1 French mathematicians 32

2.2 Scott Russell, the naval engineer 47

2.3 Tides and waves 56

2.4 Finite waves 69

2.5 The principle of interference 85

3 Viscosity 101

3.1 Mathematicians' versus engineers' fluids 103

3.2 Navier: molecular mechanics of solids and fluids 109

3.3 Cauchy: stress and strain 119

3.4 Poisson: the rigors of discontinuity 122

3.5 Saint-Venant: slides and shears 126

3.6 Stokes: the pendulum 135

3.7 The Hagen-Poiseuille law 140

4 Vortices 145

4.1 Sound the organ 146

4.2 Vortex motion 148

4.3 Vortex sheets 159

4.4 Foehn, cyclones, and storms 166

4.5 Trade winds 172

4.6 Wave formation 178

5 Instability 183

5.1 Divergent flows 184

5.2 Discontinuous flow 188

5.3 Vortex atoms 190

5.4 The Thomson-Stokes debate 197

5.5 Parallel flow 208

6 Turbulence 219

6.1 Hydraulic phenomenology 221

6.2 Saint-Venant on tumultuous waters 229

6.3 Boussinesq on open channels 233

6.4 The turbulent ether 239

6.5 Reynolds's criterion 243

7 Drag and lift 264

7.1 Tentative theories 265

7.2 Ship resistance 273

7.3 Boundary layers 283

7.4 Wing theory 302

8 Conclusion 323

Appendix A Modern discussion of d'Alembert's paradox 326

Bibliography 329

Bibliographic abbreviations 329

Bibliographic of primary literature 330

Bibliographic of secondary literature 344

Index 350

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