Hydrodynamic Stability


Author: P. G. Drazin,W. H. Reid
Publisher: Cambridge University Press
ISBN: 9780521525411
Category: Mathematics
Page: 605
View: 9125

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The new edition of this celebrated book now contains detailed solutions to all the exercises.

Introduction to Hydrodynamic Stability


Author: P. G. Drazin
Publisher: Cambridge University Press
ISBN: 9780521009652
Category: Science
Page: 258
View: 8054

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Introduces instability of flows and their transition to turbulence. Suitable for a graduate course.

Theory and Computation of Hydrodynamic Stability


Author: W. O. Criminale,T. L. Jackson,Ronald Douglas Joslin
Publisher: Cambridge University Press
ISBN: 9780521632003
Category: Mathematics
Page: 441
View: 9765

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Graduate text/reference with exercises, computer code on basic topic in fluid dynamics.

Waves in Fluids


Author: James Lighthill
Publisher: Cambridge University Press
ISBN: 9780521010450
Category: Mathematics
Page: 504
View: 5434

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This comprehensive text describes the science of waves in fluids.

Hydrodynamic Instabilities


Author: François Charru
Publisher: Cambridge University Press
ISBN: 1139500546
Category: Science
Page: N.A
View: 9714

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The instability of fluid flows is a key topic in classical fluid mechanics because it has huge repercussions for applied disciplines such as chemical engineering, hydraulics, aeronautics, and geophysics. This modern introduction is written for any student, researcher, or practitioner working in the area, for whom an understanding of hydrodynamic instabilities is essential. Based on a decade's experience of teaching postgraduate students in fluid dynamics, this book brings the subject to life by emphasizing the physical mechanisms involved. The theory of dynamical systems provides the basic structure of the exposition, together with asymptotic methods. Wherever possible, Charru discusses the phenomena in terms of characteristic scales and dimensional analysis. The book includes numerous experimental studies, with references to videos and multimedia material, as well as over 150 exercises which introduce the reader to new problems.

Hydrodynamic and Hydromagnetic Stability


Author: S. Chandrasekhar
Publisher: Courier Corporation
ISBN: 0486319202
Category: Science
Page: 704
View: 314

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The Nobel Laureate's monumental study surveys hydrodynamic and hydromagnetic stability as a branch of experimental physics, surveying thermal instability of a layer of fluid heated from below, Benard problem, more.

Nonlinear Systems


Author: P. G. Drazin
Publisher: Cambridge University Press
ISBN: 9780521406680
Category: Mathematics
Page: 317
View: 6975

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A coherent treatment of nonlinear systems covering chaos, fractals, and bifurcation, as well as equilibrium, stability, and nonlinear oscillations. The systems treated are mostly of difference and differential equations. The author introduces the mathematical properties of nonlinear systems as an integrated theory, rather than simply presenting isolated fashionable topics. The topics are discussed in as concrete a way as possible, worked examples and problems are used to motivate and illustrate the general principles. More advanced parts of the text are denoted by asterisks, thus making it ideally suited to both undergraduate and graduate courses.

Elementary Fluid Dynamics


Author: D. J. Acheson
Publisher: Oxford University Press
ISBN: 0198596790
Category: Mathematics
Page: 397
View: 2810

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This textbook provides a clear and concise introduction to both theory and application of fluid dynamics, suitable for all undergraduates coming to the subject for the first time. It has a wide scope, with frequent references to experiments, and numerous exercises illustrating the main ideas.

Theoretical Hydrodynamics


Author: L. M. Milne-Thomson
Publisher: Courier Corporation
ISBN: 0486318699
Category: Science
Page: 768
View: 2231

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Classic exposition of the mathematical theory of fluid motion, applicable to both hydrodynamics and aerodynamics. Treatment based on vector methods and notation. Over 600 exercises. 391 diagrams. 1968 edition.

Physical Hydrodynamics


Author: Etienne Guyon,Jean-Pierre Hulin,Catalin D. Mitescu,Luc Petit
Publisher: Oxford University Press
ISBN: 0198702442
Category: Science
Page: 544
View: 3787

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This second edition of Physical Hydrodynamics is a deeply enriched version of a classical textbook on fluid dynamics. It retains the same pedagogical spirit, based on the authors' experience of teaching university students in the physical sciences, and emphasizes an experimental (inductive) approach rather than the more formal approach found in many textbooks in the field. Today the field is more widely open to other experimental sciences: materials,environmental, life, and earth sciences, as well as the engineering sciences. Representative examples from these fields have been included where possible, while retaining a general presentation in each case.

Fluid Dynamics for Physicists


Author: T. E. Faber
Publisher: Cambridge University Press
ISBN: 9780521429696
Category: Science
Page: 440
View: 4505

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This textbook provides an accessible and comprehensive account of fluid dynamics that emphasizes fundamental physical principles and stresses connections with other branches of physics. Beginning with a basic introduction, the book goes on to cover many topics not typically treated in texts, such as compressible flow and shock waves, sound attenuation and bulk viscosity, solitary waves and ship waves, thermal convection, instabilities, turbulence, and the behavior of anisotropic, non-Newtonian and quantum fluids. Undergraduate or graduate students in physics or engineering who are taking courses in fluid dynamics will find this book invaluable.

Ferrohydrodynamics


Author: R. E. Rosensweig
Publisher: Courier Corporation
ISBN: 0486783006
Category: Science
Page: 368
View: 7644

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Clear, comprehensive treatment of behavior and dynamics of magnetic fluids explores electromagnetism and fields, magnetocaloric energy conversion, more. For graduate students and researchers in physics, engineering, and math.

Wave Interactions and Fluid Flows


Author: Alex D. D. Craik
Publisher: Cambridge University Press
ISBN: 9780521368292
Category: Mathematics
Page: 336
View: 3223

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This up-to-date and comprehensive account of theory and experiment on wave-interaction phenomena covers fluids both at rest and in their shear flows. It includes, on the one hand, water waves, internal waves, and their evolution, interaction, and associated wave-driven means flow and, on the other hand, phenomena on nonlinear hydrodynamic stability, especially those leading to the onset of turbulence. This study provide a particularly valuable bridge between these two similar, yet different, classes of phenomena. It will be of value to oceanographers, meteorologists, and those working in fluid mechanics, atmospheric and planetary physics, plasma physics, aeronautics, and geophysical and astrophysical fluid dynamics.

An Introduction to Fluid Dynamics


Author: G. K. Batchelor
Publisher: Cambridge University Press
ISBN: 9780521663960
Category: Mathematics
Page: 615
View: 6450

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First published in 1967, Professor Batchelor's classic text on fluid dynamics is still one of the foremost texts in the subject. The careful presentation of the underlying theories of fluids is still timely and applicable, even in these days of almost limitless computer power. This re-issue should ensure that a new generation of graduate students see the elegance of Professor Batchelor's presentation.

Fluid Dynamics via Examples and Solutions


Author: Sergey Nazarenko
Publisher: CRC Press
ISBN: 1439888825
Category: Science
Page: 248
View: 453

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Fluid Dynamics via Examples and Solutions provides a substantial set of example problems and detailed model solutions covering various phenomena and effects in fluids. The book is ideal as a supplement or exam review for undergraduate and graduate courses in fluid dynamics, continuum mechanics, turbulence, ocean and atmospheric sciences, and related areas. It is also suitable as a main text for fluid dynamics courses with an emphasis on learning by example and as a self-study resource for practicing scientists who need to learn the basics of fluid dynamics. The author covers several sub-areas of fluid dynamics, types of flows, and applications. He also includes supplementary theoretical material when necessary. Each chapter presents the background, an extended list of references for further reading, numerous problems, and a complete set of model solutions.

Bénard Cells and Taylor Vortices


Author: E. L. Koschmieder
Publisher: Cambridge University Press
ISBN: 9780521402040
Category: Mathematics
Page: 337
View: 3109

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This book describes the motions resulting from heating a fluid layer from below.

A Second Course in Mathematical Analysis


Author: J. C. Burkill,H. Burkill
Publisher: Cambridge University Press
ISBN: 9780521523431
Category: Mathematics
Page: 526
View: 1612

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Classic calculus text reissued in Cambridge Mathematical Library. Clear, logical with many examples.

Theory of Algebraic Invariants


Author: David Hilbert,Bernd Sturmfels
Publisher: Cambridge University Press
ISBN: 9780521449038
Category: Mathematics
Page: 191
View: 7897

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In the summer of 1897, David Hilbert (1862-1943) gave an introductory course in Invariant Theory at the University of Gottingen. This book is an English translation of the handwritten notes taken from this course by Hilbert's student Sophus Marxen. At that time his research in the subject had been completed, and his famous finiteness theorem had been proved and published in two papers that changed the course of invariant theory dramatically and that laid the foundation for modern commutative algebra. Thus, these lectures take into account both the old approach of his predecessors and his new ideas. This bridge from nineteenth to twentieth century mathematics makes these lecture notes a special and fascinating account of invariant theory. Hilbert's course was given at a level accessible to graduate students in mathematics, requiring only a familiarity with linear algebra and the basics of ring and group theory. The text will be useful as a self-contained introduction to invariant theory. But it will also be invaluable as a historical source for anyone interested in the foundations of twentieth-century mathematics.

Geophysical Waves and Flows


Author: David E. Loper
Publisher: Cambridge University Press
ISBN: 1107186196
Category: Science
Page: 530
View: 4247

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This book is a unified presentation of waves and flows occurring in the atmosphere, oceans, rivers, volcanoes and the mantle, for graduate students and researchers.

Hydrodynamics and Nonlinear Instabilities


Author: Claude Godrèche,Paul Manneville,Bernard Castaing
Publisher: Cambridge University Press
ISBN: 9780521017633
Category: Science
Page: 700
View: 3636

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This book presents five sets of pedagogical lectures by internationally respected researchers on nonlinear instabilities and the transition to turbulence in hydrodynamics. The book begins with a general introduction to hydrodynamics covering fluid properties, flow measurement, dimensional analysis and turbulence. Chapter two reviews the special characteristics of instabilities in open flows. Chapter three presents mathematical tools for multiscale analysis and asymptotic matching applied to the dynamics of fronts and localized nonlinear states. Chapter four gives a detailed review of pattern forming instabilities. The final chapter provides a detailed and comprehensive introduction to the instability of flames, shocks and detonations. Together, these lectures provide a thought-provoking overview of current research in this important area.