Rayleigh B Nard Convection
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Introduction To Hydrodynamic Stability
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Author : P. G. Drazin
language : en
Publisher: Cambridge University Press
Release Date : 2002-09-09
Introduction To Hydrodynamic Stability written by P. G. Drazin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-09 with Science categories.
Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.
Rayleigh Benard Convection Structures And Dynamics
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Author : Alexander V Getling
language : en
Publisher: World Scientific
Release Date : 1998-03-06
Rayleigh Benard Convection Structures And Dynamics written by Alexander V Getling and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-03-06 with Science categories.
This invaluable book presents a concise but systematic account of the formation of spatial flow structures in a horizontal fluid layer heated from below. Flows of this type, known as Rayleigh-Bénard convection, show important features of behaviour inherent not only in various hydrodynamic-instability phenomena but also in nonlinear pattern-forming processes in other contexts. The book describes the basic methods of investigating convection patterns, and the types of two- and three-dimensional flows, pattern defects, and sequences of convection-regime changes.The author pays special attention to the question of how various factors (mainly reducible to initial and boundary conditions) determine the shapes and sizes of the structures which develop. In this way, the role of order and disorder in flow patterns, as a factor strongly affecting the character of the evolution of structures, is revealed. The presentation emphasizes the physical picture of these phenomena, without excessive mathematical detail.
Spectral Methods In Matlab
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Author : Lloyd N. Trefethen
language : en
Publisher: SIAM
Release Date : 2000-07-01
Spectral Methods In Matlab written by Lloyd N. Trefethen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-01 with Mathematics categories.
Mathematics of Computing -- Numerical Analysis.
Magnetoconvection
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Author : N. O. Weiss
language : en
Publisher: Cambridge University Press
Release Date : 2014-10-30
Magnetoconvection written by N. O. Weiss and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-30 with Science categories.
Leading experts present the current state of knowledge of the subject of magnetoconvection from the viewpoint of applied mathematics.
Magnetic Convection
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Author : Hiroyuki Ozoe
language : en
Publisher: World Scientific
Release Date : 2005-07-21
Magnetic Convection written by Hiroyuki Ozoe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-21 with Technology & Engineering categories.
The manufacture of silicon single crystals is one of the most important processes in the information technology industry. This book explains the details of liquid metal convection, providing a guide for the elegant operation and control of Czochralski crystal growth, including the effect of magnetic control. Also covered is the newly emerging research field of the application of strong magnetic field using a superconducting magnet. Model equations for the phenomena in the magnetic field are treated in detail, which will be of much use to researchers and engineers in the field.The coverage includes the effect of the Lorentz force in materials processing and the magnetic force of recently developed superconducting magnets. It examines heat, mass and momentum transfer in electro-conducting and non-conducting fluids under normal and very strong magnetic fields. The book also treats the Czochralski single crystal growth process and continuous steel casting process as the most important current applications of magnetic fields. Numerical approaches are compared with the corresponding experimental measurements./a
B Nard Cells And Taylor Vortices
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Author : E. L. Koschmieder
language : en
Publisher: Cambridge University Press
Release Date : 1993-02-26
B Nard Cells And Taylor Vortices written by E. L. Koschmieder and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-26 with Mathematics categories.
This book describes the motions resulting from heating a fluid layer from below.
Computational Modelling Of Bifurcations And Instabilities In Fluid Dynamics
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Author : Alexander Gelfgat
language : en
Publisher: Springer
Release Date : 2018-07-06
Computational Modelling Of Bifurcations And Instabilities In Fluid Dynamics written by Alexander Gelfgat and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-06 with Technology & Engineering categories.
Instabilities of fluid flows and the associated transitions between different possible flow states provide a fascinating set of problems that have attracted researchers for over a hundred years. This book addresses state-of-the-art developments in numerical techniques for computational modelling of fluid instabilities and related bifurcation structures, as well as providing comprehensive reviews of recently solved challenging problems in the field.
Routes To Absolute Instability In Porous Media
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Author : Antonio Barletta
language : en
Publisher: Springer
Release Date : 2019-01-02
Routes To Absolute Instability In Porous Media written by Antonio Barletta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-02 with Technology & Engineering categories.
This book addresses the concepts of unstable flow solutions, convective instability and absolute instability, with reference to simple (or toy) mathematical models, which are mathematically simple despite their purely abstract character. Within this paradigm, the book introduces the basic mathematical tools, Fourier transform, normal modes, wavepackets and their dynamics, before reviewing the fundamental ideas behind the mathematical modelling of fluid flow and heat transfer in porous media. The author goes on to discuss the fundamentals of the Rayleigh-Bénard instability and other thermal instabilities of convective flows in porous media, and then analyses various examples of transition from convective to absolute instability in detail, with an emphasis on the formulation, deduction of the dispersion relation and study of the numerical data regarding the threshold of absolute instability. The clear descriptions of the analytical and numerical methods needed to obtain these parametric threshold data enable readers to apply them in different or more general cases. This book is of interest to postgraduates and researchers in mechanical and thermal engineering, civil engineering, geophysics, applied mathematics, fluid mechanics, and energy technology.
Turbulence Coherent Structures Dynamical Systems And Symmetry
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Author : Philip Holmes
language : en
Publisher: Cambridge University Press
Release Date : 2012-02-23
Turbulence Coherent Structures Dynamical Systems And Symmetry written by Philip Holmes and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-23 with Mathematics categories.
Describes methods revealing the structures and dynamics of turbulence for engineering, physical science and mathematics researchers working in fluid dynamics.