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Dynamics of curved fronts /
In recent years, much progress has been made in the understanding of interface dynamics of various systems: hydrodynamics, crystal growth, chemical reactions, and combustion. Dynamics of Curved Fronts is an important contribution to this field and will be an indispensable reference work for research...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston :
Academic Press,
�1988.
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| Colección: | Perspectives in physics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Dynamics of Curved Fronts; Copyright Page; Table of Contents; Foreword; Preface; Part I: Introduction; Chapter 1. Introduction; 1.1. Examples of Interface Propagation; 1.2. Interface Propagation Considered as a Dynamical System; 1.3. Time-dependent Interface Shapes; Chapter 2. The Saffman-Taylor Finger; 2.1. Model for the Interface Propagation; 2.2. The Problem Without Surface Tension; 2.3. Effects of Surface Tension; 2.4. Comparison with Experiments and Numerical Simulations; Chapter 3. Stationary Shapes of a Needle Crystal Growing From a Supercooled Liquid.
- 3.1. The Model of Growth3.2. The Problem Without Surface Tension; 3.3. Effects of Surface Tension; 3.4. Comparison With Experiments; 3.5. Analogy Between Saffman-Taylor Finger and Dendrite; Chapter 4. Stationary Shapes of a Curved Flame Propagating in a Channel; 4.1. Model for Flame Propagation; 4.2. The Inviscid Problem; 4.3. Effect of the Acceleration of Gravity; 4.4. Effects of Flame Thickness; 4.5. Analogy Between Saffman-Taylor Finger and Retrocombustion Front; Chapter 5. Stability of Curved Fronts; 5.1. Experimental Observations; 5.2. Qualitative Theory for the Problem of Stability.
- 5.3. Linear Stability AnalysisConclusion; References; Part Il: Collected Papers; Chapter 6. Study of the Diffusion Equation with Growth of the Quantity of Matter and its Application to a Biology Problem; Introduction; Section 1; Section 2; Section 3; Chapter 7. A Theory of Thermal Propagation of Flame; Part lll: Dragging of a Liquid by a Moving Plate; Chapter 8. Dragging of a Liquid by a Moving Plate; Part IV: Saffman-Taylor Finger; Chapter 9. The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid.
- 1. The stability of the interface between two fluids in a porous medium2. An analogue for two-dimensional flow in a porous medium; 3. Effect of surface tension on stability in the Hele-Shaw cell; 4. Experiments using the Hele-Shaw cell; 5. Penetration of a single 'finger' into a channel; 6. Non-uniqueness of the solution; 7. Experiments in channels; 8. Experiments with pairs of viscous fluids; 9. Effect on the shape of the bubble of surface stress at the interface; References; Chapter 10. The effect of surface tension on the shape of fingers in a Hele Shaw cell; 1. Introduction.
- 2. Derivation of the equations3. Endpoint singularity; 4. Numerical treatment; 5. Perturbation expansions; 6. The dependence of finger widths on surface tension; 7. Stability analysis; 8. Other steady solutions; Chapter 11. Fingers in a Hele-Shaw Cell with surface tension; Chapter 12. Shape Selection of Saffman-Taylor Fingers; Chapter 13. Singularities in nonlocal interface dynamics; I. INTRODUCTION; II. MOVING-BOUNDARY-VALUE PROBLEM AND INTERFACE DYNAMICS; III. DYNAMICS OF CONFORMAL SINGULARITIES; IV. MULLINS-SEKERKA INSTABILITY AND CUSPS IN THE INTERFACE; V. CONCLUSIONS; ACKNOWLEDGMENTS.