Transport phenomena problems that occur in engineering and physics are often multi-dimensional and multi-phase in character. When taking recourse to numerical methods the spectral method is particularly useful and efficient. The book is meant principally to train students and non-specialists to use the spectral method for solving problems that model fluid flow in closed geometries with heat or mass transfer. To this aim the reader should bring a working knowledge of fluid mechanics and heat transfer and should be readily conversant with simple concepts of linear algebra including spectral decomposition of matrices as well as solvability conditions for inhomogeneous problems. The book is neither meant to supply a ready-to-use program that is all-purpose nor to go through all manners of mathematical proofs. The focus in this tutorial is on the use of the spectral methods for space discretization, because this is where most of the difficulty lies. While time dependent problems are also of great interest, time marching procedures are dealt with by briefly introducing and providing a simple, direct, and efficient method. Many examples are provided in the text as well as numerous exercises for each chapter. Several of the examples are attended by subtle points which the reader will face while working them out. Some of these points are deliberated upon in endnotes to the various chapters, others are touched upon in the book itself.

Essays are written to fulfill the needs of both teachers and graduate students; Problems have been selected so that they can be solved by hand; Discussion notes are at the end of many of the essays to serve as a basis for discussion; Endnotes provide background information which the reader may need in order to enjo the essay

Transport phenomena problems that occur in engineering and physics are often multi-dimensional and multi-phase in character. When taking recourse to numerical methods the spectral method is particularly useful and efficient. The book is meant principally to train students and non-specialists to use the spectral method for solving problems that model fluid flow in closed geometries with heat or mass transfer. To this aim the reader should bring a working knowledge of fluid mechanics and heat transfer and should be readily conversant with simple concepts of linear algebra including spectral decomposition of matrices as well as solvability conditions for inhomogeneous problems. The book is neither meant to supply a ready-to-use program that is all-purpose nor to go through all manners of mathematical proofs. The focus in this tutorial is on the use of the spectral methods for space discretization, because this is where most of the difficulty lies. While time dependent problems are also of great interest, time marching procedures are dealt with by briefly introducing and providing a simple, direct, and efficient method. Many examples are provided in the text as well as numerous exercises for each chapter. Several of the examples are attended by subtle points which the reader will face while working them out. Some of these points are deliberated upon in endnotes to the various chapters, others are touched upon in the book itself.

The present set of lectures and tutorial reviews deals with various topical aspects related to instabilities of interfacial processes and driven flows from both the theoretical and experimental point of views. New research has been spurred by demands for many applications in material sciences (melting, solidification, electro deposition), biomedical engineering and processing in microgravity environments. This book is intended as both a modern source of reference for researchers in the field as well as an introduction to postgraduate students and non-specialists from related areas.

Given the enormous interest in surface phenomena in areas ranging from materials science to applications in life science, this volume is a very timely addition to the literature. Emphasis is on surfactants mediating interfacial and molecular aggregation phenomena, and the following topics are reviewed in particular: dissolution rates, equilibrium adsorption, mixing rules, and spreading on a solid surface of surfactants, as well as the role of surfactants in mediating a range of processes, such as the fabrication of various nanomaterials. Written and edited by leading experts, this volume is dedicated to Professor Dinesh O. Shah, one of the pioneers in this field.

Given the enormous interest in surface phenomena in areas ranging from materials science to applications in life science, this volume is a very timely addition to the literature. Emphasis is on surfactants mediating interfacial and molecular aggregation phenomena, and the following topics are reviewed in particular: dissolution rates, equilibrium adsorption, mixing rules, and spreading on a solid surface of surfactants, as well as the role of surfactants in mediating a range of processes, such as the fabrication of various nanomaterials. Written and edited by leading experts, this volume is dedicated to Professor Dinesh O. Shah, one of the pioneers in this field.

The present set of lectures and tutorial reviews deals with various topical aspects related to instabilities of interfacial processes and driven flows from both the theoretical and experimental point of views. New research has been spurred by demands for many applications in material sciences (melting, solidification, electro deposition), biomedical engineering and processing in microgravity environments. This book is intended as both a modern source of reference for researchers in the field as well as an introduction to postgraduate students and non-specialists from related areas.

Many of the significant issues in fluid dynamics occur at interfaces, that is, at the boundaries between differing fluids or between fluids and solids. These issues are important in areas ranging from aircraft flight, to the flow of blood in the heart, to chemical vapour deposition. The subject is an area of active research and development, owing to improved analytical, experimental, and computational techniques. This book describes research and applications in interfacial fluid dynamics and stability. It is organized around five topics: Benard and thermocapillary instabilities, shear and pressure induced instabilities, waves and dispersions, multiphase systems, and complex flows. Chapters have been contributed by internationally recognized experts, both theoreticians and experimentalists. Because of the range and importance of topics discussed, this book will interest a broad audience of graduate students and researchers in mechanical, aerospace, materials, and chemical engineering, as well as in applied mathematics and physics.

Interfacial fluid dynamics is important in areas ranging from the flight of an aircraft to the flow of blood in the heart, and an area of active research and development owing to improved analytical, experimental, and computational techniques. This book describes the latest methods and applications in the field. Written by an internationally recognized panel of experts in both theory and experimentation, coverage is organized around five topics: Benard and thermocapillary instabilities, shear and pressure induced instabilities, waves and dispersions, multiphase systems, and complex flows. This comprehensive volume will interest a broad audience of graduate students, faculty, and researchers in mechanical, aerospace, materials, and chemical engineering, as well as in applied mathematics and physics.