Internally Heated Convection and Rayleigh-Bénard Convection
Internally Heated Convection and Rayleigh-Bénard Convection

Author: David Goluskin

Publisher: Springer

Published: 2015-11-21

Total Pages: 73

ISBN-13: 3319239414

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This Brief describes six basic models of buoyancy-driven convection in a fluid layer: three configurations of internally heated convection and three configurations of Rayleigh-Bénard convection. The author discusses the main quantities that characterize heat transport in each model, along with the constraints on these quantities. This presentation is the first to place the various models in a unified framework, and similarities and differences between the cases are highlighted. Necessary and sufficient conditions for convective motion are given. For the internally heated cases only, parameter-dependent lower bounds on the mean fluid temperature are proven, and results of past simulations and laboratory experiments are summarized and reanalyzed. The author poses several open questions for future study.

Rayleigh-B‚nard Convection
Rayleigh-B‚nard Convection

Author: Alexander V. Getling

Publisher: World Scientific

Published: 1998

Total Pages: 264

ISBN-13: 9789810226572

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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.

Heat Generation and Transport in the Earth
Heat Generation and Transport in the Earth

Author: Claude Jaupart

Publisher: Cambridge University Press

Published: 2010-11-11

Total Pages: 476

ISBN-13: 9780521894883

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Heat provides the energy that drives almost all geological phenomena and sets the temperature at which these phenomena operate. This book explains the key physical principles of heat transport with simple physical arguments and scaling laws that allow quantitative evaluation of heat flux and cooling conditions in a variety of geological settings and systems. The thermal structure and evolution of magma reservoirs, the crust, the lithosphere and the mantle of the Earth are reviewed within the context of plate tectonics and mantle convection - illustrating how theoretical arguments can be combined with field and laboratory data to arrive at accurate interpretations of geological observations. Appendices contain data on the thermal properties of rocks, surface heat flux measurements and rates of radiogenic heat production. This book can be used for advanced courses in geophysics, geodynamics and magmatic processes, and is a reference for researchers in geoscience, environmental science, physics, engineering and fluid dynamics.

Magnetoconvection
Magnetoconvection

Author: N. O. Weiss

Publisher: Cambridge University Press

Published: 2014-10-30

Total Pages: 411

ISBN-13: 052119055X

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Leading experts present the current state of knowledge of the subject of magnetoconvection from the viewpoint of applied mathematics.

Dynamics of Spatio-Temporal Cellular Structures
Dynamics of Spatio-Temporal Cellular Structures

Author: Innocent Mutabazi

Publisher: Springer

Published: 2010-06-14

Total Pages: 249

ISBN-13: 0387251111

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The impact of Benard's discovery on 20th century physics is crucial to any modern research area such as fluid dynamics, nonlinear dynamics, and non-equilibrium thermodynamics, just to name a few. This centenary review shows the broad scope and development including modern applications, edited and written by experts in the field.

Advances in Fluid Dynamics
Advances in Fluid Dynamics

Author: B. Rushi Kumar

Publisher: Springer Nature

Published: 2020-07-10

Total Pages: 1014

ISBN-13: 9811543089

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This book comprises selected peer-reviewed proceedings of the International Conference on Applications of Fluid Dynamics (ICAFD 2018) organized by the School of Advanced Sciences, Vellore Institute of Technology, India, in association with the University of Botswana and the Society for Industrial and Applied Mathematics (SIAM), USA. With an aim to identify the existing challenges in the area of applied mathematics and mechanics, the book emphasizes the importance of establishing new methods and algorithms to address these challenges. The topics covered include diverse applications of fluid dynamics in aerospace dynamics and propulsion, atmospheric sciences, compressible flow, environmental fluid dynamics, control structures, viscoelasticity and mechanics of composites. Given the contents, the book is a useful resource for students, researchers as well as practitioners.