Initial Value Problems In Stratified Shear Flows
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Turbulence in Rotating, Stratified and Electrically Conducting Fluids
Author | : P. A. Davidson |
Publisher | : Cambridge University Press |
Total Pages | : 701 |
Release | : 2013-09-12 |
Genre | : Science |
ISBN | : 1107434343 |
There are two recurring themes in astrophysical and geophysical fluid mechanics: waves and turbulence. This book investigates how turbulence responds to rotation, stratification or magnetic fields, identifying common themes, where they exist, as well as the essential differences which inevitably arise between different classes of flow. The discussion is developed from first principles, making the book suitable for graduate students as well as professional researchers. The author focuses first on the fundamentals and then progresses to such topics as the atmospheric boundary layer, turbulence in the upper atmosphere, turbulence in the core of the earth, zonal winds in the giant planets, turbulence within the interior of the sun, the solar wind, and turbulent flows in accretion discs. The book will appeal to engineers, geophysicists, astrophysicists and applied mathematicians who are interested in naturally occurring turbulent flows.
Wave Interactions and Fluid Flows
Author | : Alex D. D. Craik |
Publisher | : Cambridge University Press |
Total Pages | : 340 |
Release | : 1988-07-07 |
Genre | : Mathematics |
ISBN | : 9780521368292 |
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.
Hydrodynamic Instability and Transition to Turbulence
Author | : Akiva M. Yaglom |
Publisher | : Springer Science & Business Media |
Total Pages | : 611 |
Release | : 2012-12-18 |
Genre | : Technology & Engineering |
ISBN | : 9400742371 |
This book is a complete revision of the part of Monin & Yaglom's famous two-volume work "Statistical Fluid Mechanics: Mechanics of Turbulence" that deals with the theory of laminar-flow instability and transition to turbulence. It includes the considerable advances in the subject that have been made in the last 15 years or so. It is intended as a textbook for advanced graduate courses and as a reference for research students and professional research workers. The first two Chapters are an introduction to the mathematics, and the experimental results, for the instability of laminar (or inviscid) flows to infinitesimal (in practice "small") disturbances. The third Chapter develops this linear theory in more detail and describes its application to particular problems. Chapters 4 and 5 deal with instability to finite-amplitude disturbances: much of the material has previously been available only in research papers.
Rotating Thermal Flows in Natural and Industrial Processes
Author | : Marcello Lappa |
Publisher | : John Wiley & Sons |
Total Pages | : 666 |
Release | : 2012-07-25 |
Genre | : Science |
ISBN | : 1118342380 |
Rotating Thermal Flows in Natural and Industrial Processes provides the reader with a systematic description of the different types of thermal convection and flow instabilities in rotating systems, as present in materials, crystal growth, thermal engineering, meteorology, oceanography, geophysics and astrophysics. It expressly shows how the isomorphism between small and large scale phenomena becomes beneficial to the definition and ensuing development of an integrated comprehensive framework. This allows the reader to understand and assimilate the underlying, quintessential mechanisms without requiring familiarity with specific literature on the subject. Topics treated in the first part of the book include: Thermogravitational convection in rotating fluids (from laminar to turbulent states); Stably stratified and unstratified shear flows; Barotropic and baroclinic instabilities; Rossby waves and Centrifugally-driven convection; Potential Vorticity, Quasi-Geostrophic Theory and related theorems; The dynamics of interacting vortices, interacting waves and mixed (hybrid) vortex-wave states; Geostrophic Turbulence and planetary patterns. The second part is entirely devoted to phenomena of practical interest, i.e. subjects relevant to the realms of industry and technology, among them: Surface-tension-driven convection in rotating fluids; Differential-rotation-driven (forced) flows; Crystal Growth from the melt of oxide or semiconductor materials; Directional solidification; Rotating Machinery; Flow control by Rotating magnetic fields; Angular Vibrations and Rocking motions; Covering a truly prodigious range of scales, from atmospheric and oceanic processes and fluid motion in "other solar-system bodies", to convection in its myriad manifestations in a variety of applications of technological relevance, this unifying text is an ideal reference for physicists and engineers, as well as an important resource for advanced students taking courses on the physics of fluids, fluid mechanics, thermal, mechanical and materials engineering, environmental phenomena, meteorology and geophysics.
The Physics and Parameterization of Moist Atmospheric Convection
Author | : R.K. Smith |
Publisher | : Springer Science & Business Media |
Total Pages | : 499 |
Release | : 2013-04-17 |
Genre | : Science |
ISBN | : 9401588287 |
An up-to-date summary of our understanding of the dynamics and thermodynamics of moist atmospheric convection, with a strong focus on recent developments in the field. The book also reviews ways in which moist convection may be parameterised in large-scale numerical models - a field in which there is still some controversy - and discusses the implications of convection for large-scale flow. Audience: The book is aimed at the graduate level and research meteorologists as well as scientists in other disciplines who need to know more about moist convection and its representation in numerical models.
Stability and Transition in Shear Flows
Author | : Peter J. Schmid |
Publisher | : Springer Science & Business Media |
Total Pages | : 561 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461301858 |
A detailed look at some of the more modern issues of hydrodynamic stability, including transient growth, eigenvalue spectra, secondary instability. It presents analytical results and numerical simulations, linear and selected nonlinear stability methods. By including classical results as well as recent developments in the field of hydrodynamic stability and transition, the book can be used as a textbook for an introductory, graduate-level course in stability theory or for a special-topics fluids course. It is equally of value as a reference for researchers in the field of hydrodynamic stability theory or with an interest in recent developments in fluid dynamics. Stability theory has seen a rapid development over the past decade, this book includes such new developments as direct numerical simulations of transition to turbulence and linear analysis based on the initial-value problem.
Hydrodynamic Stability
Author | : P. G. Drazin |
Publisher | : Cambridge University Press |
Total Pages | : 630 |
Release | : 2004-08-05 |
Genre | : Mathematics |
ISBN | : 9780521525411 |
Hydrodynamic stability is of fundamental importance in fluid mechanics and is concerned with the problem of transition from laminar to turbulent flow. Drazin and Reid emphasise throughout the ideas involved, the physical mechanisms, the methods used, and the results obtained, and, wherever possible, relate the theory to both experimental and numerical results. A distinctive feature of the book is the large number of problems it contains. These problems not only provide exercises for students but also provide many additional results in a concise form. This new edition of this celebrated introduction differs principally by the inclusion of detailed solutions for those exercises, and by the addition of a Foreword by Professor J. W. Miles.
Waves in the Ocean
Author | : P.H. LeBlond |
Publisher | : Elsevier |
Total Pages | : 617 |
Release | : 1981-01-01 |
Genre | : Science |
ISBN | : 0080879772 |
This is a book which will be welcomed not only by researchers and engineers, but also by teachers and students, as it contains the only comprehensive review of the dynamics of ocean waves. Existing books are now either out of date or restricted to specialized aspects of the subject, whereas this book covers all types of ocean waves, ranging from capillary to planetary waves. Because of its completeness of coverage, its use of elementary mathematics and the provision of numerous problems and exercises, the book will be an indispensable text for everyone. It is completed by a very lengthy bibliography which includes many references to the Russian literature.