Format:
Online-Ressource (XIII, 498p. 319 illus, digital)
Edition:
Second Edition
ISBN:
9780387877143
,
1283444399
,
9781283444392
Series Statement:
Applied Mathematical Sciences 179
Content:
Introduction -- Types of convective instabilities in systems with an interface -- Benard problem in multilayer systems with undeformable interfaces -- Benard problem in multilayer systems with deformable interfaces -- Stability of flows -- Outlook.
Content:
The interfacial convection is a widespread phenomenon which has numerous applications. This book describes the basic models of interfacial convection used on different spatial scales. It presents a variety of physical mechanisms and types of instability characteristic for liquid systems with interfaces. The book summarizes results obtained in the field of interfacial convection during a number of decades, including recent developments in exploration of microfluidic convective flows. The book will appeal to researchers and graduate students working in the field of fluid dynamics. It will help readers to master the mathematical approaches which are used for studying convective flows and understand the underlying physical phenomena. This new edition has been updated throughout and contains the significant progress achieved in studying phenomena in ultra-thin films, in systems with phase transitions, multicomponent systems, and nanosuspensions. Reviews of first edition: “In summary, the bulk of this book is excellent…If the authors could expand the content of chapters six and seven to give the same level of coverage as the first five chapters, this would be an even more valuable resource for mathematicians, physicists and engineers working on the stability of thermocapillary flows.” (Journal of Fluid Mechanics, 2007) “This monograph pulls together the large amount of very recent theoretical and experimental works related to interfacial convection in multilayer systems and is a valuable contribution.” (Mathematical Reviews, 2007).
Note:
Includes bibliographical references (p. 453-492) and index
,
Interfacial Convection Multilayer Systems; Contents; Preface; 1 Introduction. Models of Interfacial Convection; 1.1 Motivation of the Problem; 1.2 Models of Heat Convection; 1.2.1 Sharp-Interface Approach; 1.2.2 One-Layer Model; 1.2.3 Two-Layer Model; 1.2.4 Three-Layer Model; 1.3 Models of Interfacial Convection in Multicomponent Fluids; 1.3.1 Solutocapillary Convection in Isothermal Fluids; 1.3.2 Interfacial Convection in Nonisothermal Solutions; 1.3.3 Convection in Nanofluids; 1.4 Models of Convection with Phase Transitions; 1.4.1 Convection with Evaporation
,
1.4.2 Convection with Solidification1.5 Models of Ultrathin Film Flows; 1.5.1 Lubrication Approximation; 1.5.2 Intermolecular Forces; 1.5.3 Nonisothermal Films; 1.6 Mesoscopic Models; 1.6.1 Diffuse-Interface Models; 1.6.2 Lattice Boltzmann Approach; 1.6.3 Dissipative Particle Dynamics; 1.7 Microscopic Models; 2 Types of Convective Instability in Systems with an Interface; 2.1 The Problem of Stability; 2.2 Rayleigh-B´enard Convection; 2.2.1 Linear Stability; 2.2.2 Nonlinear Flow Regimes; 2.3 Anticonvection; 2.4 Stationary Marangoni Patterns; 2.4.1 Exact Formulas
,
2.4.2 Shortwave Marangoni Patterns2.4.3 Longwave Marangoni Patterns; the Case of Poorly Conducting Boundaries; 2.4.4 Longwave Deformational Instabilities; 2.5 Marangoni Waves in Systems with a Nondeformable Interface; 2.5.1 Oscillatory Marangoni Instability; 2.5.2 Competition Between Marangoni and Rayleigh Instability Mechanisms; Periodic boundary conditions.; Closed cavities.; Three-dimensional patterns.; 2.5.3 Mode Mixing of Interfacial and Internal Waves; 2.5.4 Oscillatory Instability in the Presence of a Thermal Gradient and a Surfactant
,
2.6 Marangoni Waves in Systems with a Deformable Interface2.6.1 Transverse Marangoni Instability in One-Layer Systems; 2.6.2 The Limit of Large Ga and M; 2.6.3 Linear Theory of Transverse Instability: Numerical Results; 2.6.4 Nonlinear Theory of Transverse Instability; 2.6.5 Oscillations Generated by a Surfactant; Analytical results.; Numerical results.; 2.6.6 Transverse and Longitudinal Marangoni Instabilities in the Case of Mass Transfer; 2.7 Instabilities in the Presence of Evaporation; 2.7.1 Mechanisms of Instability in Evaporating Fluid Systems; 2.7.2 Evaporation of Pure Liquids
,
2.7.3 Evaporation of Binary Liquids3 Bénard Problem in Multilayer Systems with Undeformable Interfaces; 3.1 General Equations and Boundary Conditions; 3.2 Linear Stability Theory; 3.2.1 Marangoni Convection. The Case of a Symmetric System and Equal Layer Thicknesses; 3.2.2 Onset of Marangoni Convection in Asymmetric Three-Layer Systems; 3.2.3 Combined Action of Marangoni and Rayleigh Instability Mechanisms; 3.3 Nonlinear Simulations; 3.3.1 Marangoni Convection. The Case of a Symmetric System; 3.3.2 Marangoni Convection. The Case of an Asymmetric System; 3.3.3 Rayleigh Convection
,
3.3.4 Mixed Rayleigh-Marangoni Convection
Additional Edition:
ISBN 9780387877136
Additional Edition:
Buchausg. u.d.T. Nepomnjaščij, Aleksandr Abovič, 1950 - Interfacial convection in multilayer systems New York : Springer, 2012 ISBN 0387877134
Additional Edition:
ISBN 9780387877136
Language:
English
Subjects:
Physics
,
Mathematics
Keywords:
Hydrodynamik
;
Mehrschichtsystem
;
Grenzflächenreaktion
;
Konvektion
;
Mathematisches Modell
;
Grenzfläche
;
Konvektion
;
Mehrschichtsystem
;
Mehrschichtsystem
;
Grenzfläche
;
Konvektion
;
Mehrschichtsystem
;
Grenzfläche
;
Konvektion
DOI:
10.1007/978-0-387-87714-3
URL:
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