| Description |
1 online resource (xviii, 248 pages) : illustrations |
| Series |
Series on advances in mathematics for applied sciences ; v. 58 |
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Series on advances in mathematics for applied sciences ; v. 58.
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| Contents |
1. Introduction. 1.1. The concept of an "interface". 1.2. The concept of an "interfacial layer". 1.3. Presentation of the volume -- 2. Thermodynamics and kinematics of interfaces. 2.1. Definition of surfaces. 2.2. Interfacial quantities. 2.3. Thermodynamic relations. 2.4. Velocities and deformation rates of the interface. 2.5. Examples -- 3. Interface balance laws. 3.1. General interface balance law. 3.2. Interface balance laws for species, mass, momentum and energy. 3.3. Interfacial entropy production -- 4. Constitutive relations deduced from linear irreversible thermodynamics for the two-dimensional interfaces. 4.1. Analysis of the surface entropy production and possible coupling. 4.2. Capillarity at equilibrium. 4.3. Newtonian interface and surface viscosities. 4.4. Surface heat transfer. 4.5. Problems related to evaporation / condensation. 4.6. Surface chemical reactions. 4.7. Interfaces without mass -- 5. Classical three-dimensional constitutive relations deduced from linear irreversible thermodynamics and their consequences for interfaces. 5.1. Constitutive relations of three-dimensional classical fluid mixtures. 5.2. The case of premixed flames with high activation energy. 5.3. The case of shock waves and relaxation zones behind shock waves -- 6. Second gradient theory applied to interfacial medium. 6.1. Description of a fluid with internal capillarity. 6.2. A set of equations for a fluid with capillarity. 6.3. Asymptotic modelization of an interface without mass. 6.4. An expression for the surface tension. 6.5. Description of a mixture of fluids with internal capillarity -- 7. Typical problems involving surface tension and other surface properties. 7.1. The growth of a bubble. 7.2. An interface with a surface viscosity. 7.3. An interface with a variable surface tension. 7.4. Marangoni instability. 7.5. Vapor recoil. 7.6. Diffusive interfaces |
| Summary |
This book constitutes a comprehensive survey of the balance equations for mass, momentum and energy for the interfaces in pure fluids and mixtures. Constitutive laws are presented for many situations in engineering science, and examples are provided, including surface viscosity effects, variable surface tension and vapor recoil. In addition, some extensions of existing theory are given: stretch effect in premixed flames, relaxation zones downstream two-phase shock waves, and effective surface tension for steep gradient zones |
| Bibliography |
Includes bibliographical references (pages 239-248) |
| Notes |
Print version record |
| Subject |
Liquid-liquid interfaces -- Mathematical models
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Gas-liquid interfaces -- Mathematical models
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Interfaces (Physical sciences) -- Thermodynamics -- Mathematical models
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SCIENCE -- Chemistry -- Physical & Theoretical.
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Thermodynamics
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| Form |
Electronic book
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| Author |
Prud'homme, Roger.
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| ISBN |
9789812810625 |
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9812810625 |
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