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Convection in Liquids (Softcover Reprint of the Original 1st 1984)

Convection in Liquids

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"Convection in Liquids" by J.K. Platten, Jean Claude Legros is a physics book focused on Thermal Effects. Best for students, educators, and scientifically curious readers.

Both of the authors of this book are disciples and collaborators of the Brussels school of thermodynamics. Their particular domain of competence is the application of numerical methods to the many highly nonlinear problems which have arisen in the context of recent developments in the thermodynamics of irreversi ble processes: stability of states far from equilibrium, search for marginal critical states, bifwrcation phenomena, multiple stationnary states, dissipative structures, etc. These problems cannot in general be handled using only the clas sical and mathematically rigorous methods of the theory of differential, partial differential, and int~grodifferential equations. The present authors demonstrate how approximate methods, re lyi ng usually on powerful computers, lead to significant progress in these areas, if one is prepa red to accept a certain lack of rigor, such as, for example, the lack of proof for the convergence of the series used in the context of problems which are not self adjoint, nor even linear. The results thus obtained must consequently be submit ted to an exacting confrontation with experimental observations. - Even though, the '1 imited information obtained concerning the, often unsuspec ted, mechanisms underlying the observed phenomena is both precious and frequently sufficient. This information results from the properties of the trial functions best suited to the constraints of the problem such as the initial, boundary, and "feedback" conditions, and the analysis of their behavior in the course of the evolution of the system.

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Best For: Students and researchers in environmental physics and fluid mechanics
Focus: Numerical methods applied to nonlinear problems in thermodynamics and fluid convection
Covers: Stability of states far from equilibrium, marginal critical states, bifurcation phenomena, and multiple stationary solutions in convection
Why It Matters: Provides insight into complex behaviors in convection processes relevant to thermal effects in liquids, aiding understanding of irreversible thermodynamic processes

"Convection in Liquids" by J.K. Platten, Jean Claude Legros is a physics book focused on Thermal Effects. Best for students, educators, and scientifically curious readers.

Topic: Thermal Effects

Author: J.K. Platten, Jean Claude Legros

Who this is for:

  • Physics students
  • Science-minded readers
  • Readers building technical understanding

Why this book matters: It provides structured coverage of physics concepts in a way that supports deeper understanding and continued study.

Both of the authors of this book are disciples and collaborators of the Brussels school of thermodynamics. Their particular domain of competence is the application of numerical methods to the many highly nonlinear problems which have arisen in the context of recent developments in the thermodynamics of irreversi ble processes: stability of states far from equilibrium, search for marginal critical states, bifwrcation phenomena, multiple stationnary states, dissipative structures, etc. These problems cannot in general be handled using only the clas sical and mathematically rigorous methods of the theory of differential, partial differential, and int~grodifferential equations. The present authors demonstrate how approximate methods, re lyi ng usually on powerful computers, lead to significant progress in these areas, if one is prepa red to accept a certain lack of rigor, such as, for example, the lack of proof for the convergence of the series used in the context of problems which are not self adjoint, nor even linear. The results thus obtained must consequently be submit ted to an exacting confrontation with experimental observations. - Even though, the '1 imited information obtained concerning the, often unsuspec ted, mechanisms underlying the observed phenomena is both precious and frequently sufficient. This information results from the properties of the trial functions best suited to the constraints of the problem such as the initial, boundary, and "feedback" conditions, and the analysis of their behavior in the course of the evolution of the system.

AuthorJ.K. Platten, Jean Claude Legros
PublisherSpringer
Published2011-12-14
ISBN-139783642820977
BindingPaperback
LanguageEnglish
SubjectsScience
TopicThermal Effects

Format: Paperback

Language: English

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