Rayleigh-B nard Convection: Structures and Dynamics

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World Scientific, 1998 - Science - 245 pages
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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-B nard 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.
 

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Contents

Introduction
1
Basic Concepts
9
Investigation Tools
27
Basic Types of ConvectiveFlow Structures
59
Convection Regimes
99
Selection of the Wavenumbers of Convection Rolls
119
Peculiarities of Stratification and Vertical Structure of Convection
191
Conclusion
215
Subject Index
239
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