
Worlds of Flow A history of hydrodynamics from the Bernoullis to Prandtl
by Darrigol, OlivierBuy New
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Summary
Author Biography
Olivier Darrigol is Research Director at Centre National de la Recherche Scientifique, Paris, France. His previous book, Electrodynamics from Ampere to Einstein (OUP 2000), won the Marc-Auguste Pictet prize of the Societe de Physique et d'Histoire Naturelle de Geneve in 2000. In 2004, he was awarded the Grammaticakis-Neumann prize of the French Academy of Sciences.
Table of Contents
Conventions and notation | p. xiii |
The dynamical equations | p. 1 |
Daniel Bernoulli's Hydrodynamica | p. 4 |
Johann Bernoulli's Hydraulica | p. 9 |
D'Alembert's fluid dynamics | p. 11 |
Euler's equations | p. 23 |
Lagrange's analysis | p. 26 |
Water waves | p. 31 |
French mathematicians | p. 32 |
Scott Russell, the naval engineer | p. 47 |
Tides and waves | p. 56 |
Finite waves | p. 69 |
The principle of interference | p. 85 |
Viscosity | p. 101 |
Mathematicians' versus engineers' fluids | p. 103 |
Navier: molecular mechanics of solids and fluids | p. 109 |
Cauchy: stress and strain | p. 119 |
Poisson: the rigors of discontinuity | p. 122 |
Saint-Venant: slides and shears | p. 126 |
Stokes: the pendulum | p. 135 |
The Hagen-Poiseuille law | p. 140 |
Vortices | p. 145 |
Sound the organ | p. 146 |
Vortex motion | p. 148 |
Vortex sheets | p. 159 |
Foehn, cyclones, and storms | p. 166 |
Trade winds | p. 172 |
Wave formation | p. 178 |
Instability | p. 183 |
Divergent flows | p. 184 |
Discontinuous flow | p. 188 |
Vortex atoms | p. 190 |
The Thomson-Stokes debate | p. 197 |
Parallel flow | p. 208 |
Turbulence | p. 219 |
Hydraulic phenomenology | p. 221 |
Saint-Venant on tumultuous waters | p. 229 |
Boussinesq on open channels | p. 233 |
The turbulent ether | p. 239 |
Reynolds's criterion | p. 243 |
Drag and lift | p. 264 |
Tentative theories | p. 265 |
Ship resistance | p. 273 |
Boundary layers | p. 283 |
Wing theory | p. 302 |
Conclusion | p. 323 |
Modern discussion of d'Alembert's paradox | p. 326 |
Bibliography | p. 329 |
Bibliographic abbreviations | p. 329 |
Bibliographic of primary literature | p. 330 |
Bibliographic of secondary literature | p. 344 |
Index | p. 350 |
Table of Contents provided by Ingram. All Rights Reserved. |
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