Perspectives in fluid mechanics : a collective introduction to current research

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Publication Information:

Cambridge : Cambridge Univ. Press, 2000

ISBN:

9780521780612

Subject Term:

Fluid mechanics

Fluid dynamics

Added Author:

Batchelor, George K.

Moffatt, H. K. (Henry Keith), 1935-

Worster, M. G.

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Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... PSZ JB	30000004979187	TA357 P483 2000	Open Access Book	Book	Searching... Unknown

Now available in paperback, this wide-ranging text on modern fluid mechanics research includes sections on modelling the environment, physiology and magnetohydrodynamics. At the same time, the book discusses basic physical phenomena such as turbulence that still present fundamental challenges. Conventional textbooks cannot hope to give graduate students more than an inkling of what topics are currently being researched, or how to make a choice between them. This book aims to rectify matters, at least in part. It consists of eleven chapters that each introduces a different branch of the subject. Though not exhaustive, the coverage is broad: thin-film flows, Saffman-Taylor fingering, flows in arteries and veins, convective and absolute instabilities, turbulence, natural convection, magnetohydrodynamics, solidification, geological fluid mechanics, oceanography and atmospheric dynamics are all introduced and reviewed by established authorities. Thus the book will not only be suitable for graduate-level courses but also for specialists seeking introductions to other areas.

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

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