Dynamics of curved fronts. (©1988)

• Record Type: Book
• Further Information: Note: Edited by Pierre Pelcé.
• Other Names: Pelcé, Pierre, 1959-
• Contents: 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.
• Publisher Details: Boston : Academic Press
• Publication Date: 1988
• Copyright Date: 1988
• Extent: 1 online resource (xv, 514 pages), illustrations
• Subjects: 530.4/1; Surfaces (Physics); Surfaces (Technology); Hydrodynamics; Metallurgy; Combustion; Hydrodynamics; Surfaces (Physique); Surfaces (Technologie); Hydrodynamique; Métallurgie; Combustion; SCIENCE -- Physics -- Condensed Matter; Combustion; Hydrodynamics; Metallurgy; Surfaces (Physics); Surfaces (Technology); Théories non linéaires; Systèmes non linéaires; Instabilités hydrodynamiques; Surfaces (physique); Surfaces (technologie); Métallurgie; Combustion; Grenzschicht; Hydraulik; Hydrodynamik; Verbrennung; Electronic books
• Languages: English
• ISBNs: 9780080925233; 0080925235; 1299536204; 9781299536203
• Related ISBNs: 0125503555; 9780125503556
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.