Interfacial Instability

1. Front Matter

   Pages i-xv

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2. The Stability of Liquid Jets by Rayleigh’s Work Principle

   Pages 1-15

3. An Explanation of the Basic Formulas Required to Carry Out the Work of the Remaining Essays

   Pages 16-58

4. The Stability of a Liquid Jet by a Perturbation Calculation

   Pages 59-82

5. The Stability of a Liquid Bridge Lying Between Two Plane Walls

   Pages 83-113

6. The Stability of a Spinning Jet in Rigid Rotation

   Pages 114-138

7. The Stability of a Heavy Fluid Lying over a Light Fluid: The Rayleigh-Taylor Instability

   Pages 139-187

8. Solidification

   Pages 188-226

9. Precipitation

   Pages 227-243

10. Electrodeposition

    Pages 244-294

11. The Last Word

    Pages 295-296

12. Back Matter

    Pages 297-346

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This book presents a set of essays on interfacial instability, essays that are linked by a common question and a common focus: the question of the stability of a liquid jet and a focus on the surface tension acting at the interface between two phases. The discussion is analytic rather than numerical. The first two essays provide the necessary background; the remaining seven essays lead logically from these to the treatment of a series of applications, including inviscid and viscous fluids, the effects of rotation and the stability of freezing and melting fronts. The discussion is, for the most part, limited to problems that can be solved analytically, and thus to linear problems. The techniques used to analyze the problems can, however, be generalized to nonlinear problems and numerical methods. Intended for graduate students and researchers in fluid mechanics, the treatment assumes some knowledge of fluid mechanics. Students whose research problems involve multi-phase flows will find the concepts in this manuscript to be helpful in describing boundary conditions for their formulations.

• Diffusion
• fluid mechanics
• linear optimization
• mechanics
• numerical methods

From the reviews:

"This book is an excellent text for graduate students, as well as anyone interested in starting research in the area of interfacial instability. The subject of interfacial instability is introduced in terms of the liquid jet, liquid bridge, and the stability of other interfaces such as those in solidification. There are nine chapters, each in the form of an essay … ." (Yuriko Y. Renardy, Mathematical Reviews, 2003 j)

"In nine chapters this book deals with linear stability problems which involve, in one way or another, a free deforming boundary. The authors have selected topics which can all be solved analytically, making this book quite useful for teaching. … The book is also well suited as an introductory reading for students who would like to understand the physics and get acquainted with one of the particular subjects addressed here." (H. Kuhlmann, Zentralblatt MATH, Vol. 1019, 2003)

• Department of Chemical Engineering, University of Florida, Gainesville, USA

  L. E. Johns, R. Narayanan

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