| Preface | p. ix |
| Interfacial Fluid Dynamics | |
| Introduction | p. 1 |
| Interfacial regions | p. 4 |
| Thin films | p. 8 |
| Contact lines | p. 31 |
| Singularities, corners and cusps | p. 42 |
| Discussion | p. 49 |
| Viscous Fingering as an Archetype for Growth Patterns | |
| Introduction | p. 53 |
| The basis of Saffman--Taylor viscous fingering instability | p. 58 |
| The basis of the instability of other physical systems | p. 65 |
| The existence of stable curved fronts | p. 69 |
| Fractal structures | p. 84 |
| Directional growth | p. 93 |
| Conclusions | p. 98 |
| Blood Flow in Arteries and Veins | |
| Introduction | p. 105 |
| Pulse propagation | p. 108 |
| Flow in veins and other collapsible tubes | p. 119 |
| Arterial wall shear stress and flow separation | p. 137 |
| Conclusion | p. 153 |
| Open Shear Flow Instabilities | |
| Introduction | p. 159 |
| Open shear flows: amplifiers versus oscillators | p. 161 |
| Absolute/convective instabilities in parallel flows | p. 167 |
| Global instability analyses | p. 197 |
| Absolute/convective and local/global instabilities in nonlinear systems | p. 212 |
| Epilogue | p. 224 |
| Turbulence | |
| Introduction | p. 231 |
| The small scales and the energy cascade | p. 233 |
| Inhomogeneity and anisotropy | p. 245 |
| Intermittency | p. 249 |
| Free-shear flows | p. 255 |
| Wall-bounded flows | p. 265 |
| Computing turbulence | p. 276 |
| Conclusions | p. 283 |
| Convection in the Environment | |
| Introduction | p. 289 |
| Rayleigh--Benard convection | p. 294 |
| Plumes and thermals | p. 303 |
| Double-diffusive convection | p. 321 |
| Katabatic flows and gravity currents | p. 335 |
| Effects of rotation | p. 337 |
| Reflections on Magnetohydrodynamics | |
| Introduction | p. 347 |
| Fundamental principles | p. 349 |
| The Lorentz force and the equation of motion | p. 354 |
| Electromagnetic shaping and stirring | p. 356 |
| Dynamo theory | p. 367 |
| Relaxation to magnetostatic equilibrium | p. 379 |
| Concluding remarks | p. 388 |
| Solidification of Fluids | |
| Introduction | p. 393 |
| Some fundamentals of solidification | p. 394 |
| Convective heat transfer | p. 401 |
| Binary alloys | p. 407 |
| Morphological instability and flow | p. 413 |
| Mushy layers | p. 419 |
| Solidification and convection in mushy layers | p. 429 |
| Concluding remarks | p. 444 |
| Geological Fluid Mechanics | |
| The Earth | p. 447 |
| Fluid processes in magma chambers | p. 452 |
| The propagation of magma through the crust | p. 466 |
| Fluid mechanics and thermodynamics of volcanic eruption columns | p. 477 |
| Gravity currents: pyroclastic flows, turbidity currents, lava domes | p. 484 |
| Extra topics | p. 495 |
| The Dynamic Ocean | |
| Introduction | p. 507 |
| Ocean circulation | p. 509 |
| The parameterization of small-scale processes | p. 521 |
| Inference | p. 527 |
| Measurements | p. 531 |
| Processes | p. 537 |
| Other problems | p. 551 |
| Summary and outlook | p. 553 |
| On Global-Scale Atmospheric Circulations | |
| Introduction | p. 557 |
| Some fundamentals, including anti-friction | p. 561 |
| Wave propagation and gyroscopic pumping | p. 564 |
| Wave-induced momentum transport: experiment and theory | p. 566 |
| Wave breaking, wave filtering, and critical layers | p. 570 |
| The general definition of wave breaking | p. 575 |
| The Plumb--McEwan experiment and the refrigeration effect | p. 577 |
| Historical note: the Michelson--Morley principle | p. 578 |
| Material invariants and stratification surfaces | p. 580 |
| Stable stratification and balanced flow | p. 586 |
| Oscillations about balance: inertia--gravity wave dynamics | p. 590 |
| Balanced oscillations: PV inversion and Rossby wave dynamics | p. 599 |
| Rossby waves and anti-friction | p. 606 |
| The global-mean circulation of the middle atmosphere | p. 613 |
| The response to gyroscopic pumping | p. 618 |
| Postlude: the oceans, the troposphere, and climate feedback | p. 619 |
| Index | p. 625 |
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