Rayleigh-B nard Convection: Structures and Dynamics
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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according amplitude analysis approach approximation arise assumed basis becomes behaviour boundary conditions Busse calculated cells characteristic considered container convection corresponding critical Cross curve decrease defects dependence described determined direction discussed dislocation disturbances drift dynamics effect equation evolution existence experimental experiments fact factors finite flow fluid forcing front function given gradient grain boundaries heat hexagonal horizontal important increases infinite initial instability layer less linear lines mean motion observed obtained optimal original parameter particular periodic perturbation phase possible potential preferred present problem range ratio Rayleigh number realized regimes region respect rigid roll pattern scale selection showed shown sidewalls similar situations solution spatial stability steady steady-state structure studied sufficiently supercritical surface temperature term theoretical thermal three-dimensional transition two-dimensional values variation varying vertical viscosity wall wavenumber wide
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Limited preview - 2011