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The 1995-1996 program at the Institute for Mathematics and its Applications was devoted to mathematical methods in material science, and was attended by materials scientists, physicists, geologists, chemists engineers, and mathematicians. This volume contains chapters which emerged from four of the workshops, focusing on disordered materials; interfaces and thin films; mechanical response of materials from angstroms to meters; and phase transformation, composite materials and microstructure. The scales treated in these workshops ranged from the atomic to the macroscopic, the microstructures from ordered to random, and the treatments from "purely" theoretical to highly applied. Taken together, these results form a compelling and broad account of many aspects of the science of multi-scale materials, and will hopefully inspire research across the self-imposed barriers of twentieth century science.
The subject of jamming and rheology is a broad and interdisciplinary one that is generating increasing interest. This book deals with one of the oldest unsolved problems in condensed matter physics - that of the nature of glass transition in supercooled liquids. Jamming and Rheology is a collection of reprinted articles from several fields, ranging from structural glasses to foams and granular materials. Glassy relaxation and constrained dynamics (jamming) occur at all scales, from microscopic to macroscopic - in the glass transition of supercooled liquids, in fluids confined to thin films, in the structural arrest of particles such as granular materials, and in foams which must be driven by an applied stress in order to flow. Because jamming occurs at the transition between where a flow occurs and where motion stops, it is hoped that there may be a universal feature that describes this transition in all systems. This volume shows that the systems described above share many common phenomenological features, and covers work done by a wide range of scientists and technologists working in areas from physics to chemistry to chemical and mechanical engineering.
The science of complex materials continues to engage researchers from a vast range of disciplines, including physics, mathematics, computational science, and virtually all domains of engineering. This volume presents a unique multidisciplinary panorama of the current research in complex materials. The contributions explore an array of problems reflecting recent developments in four main areas: characterization and modeling of disordered packings, micromechanics and continuum theory; discrete element method; statistical mechanics. The common theme is the quest to unravel the connection between the microscopic and macroscopic properties of complex materials. Sample Chapter(s). Chapter 1: Foam ...
The theme of the present volume of Advances in Chemical Engineering is Computational Fluid Dynamics (CFD) and aims to show the state-of-the-art of the application of CFD in chemical engineering. The volume is made up of five complementary contributions, providing a style of between a tutorial and a research paper. Some contributions are entirely limited to velocity and temperature fields. Others emphasize the difficulties associated with the combination of transport and reaction. Contributions include dealing with the simulation of gas-liquid bubble columns and gas-liquid-solid fluidized beds. Addressing the different levels of modeling that are required in order to cover the full spectrum of length scales that are important for industrial applications. Stirred turbulent vessels and the chemical reactions. The importance of chemical reaction kinetics and the interaction with transport phenomena. Finally, looking at reactor engineering: the catalytic fixed bed reactor. - Original reviews - Leading chemical engineers as authors - Reviewing the state-of-the-art of Computational Fluid Dynamics (CFD)
"Granular Gases" are diluted many-particle systems in which the mean free path of the particles is much larger than the typical particle size, and where particle collisions occur dissipatively. The dissipation of kinetic energy can lead to effects such as the formation of clusters, anomalous diffusion and characteristic shock waves to name but a few. The book is organized as follows: Part I comprises the rigorous theoretical results for the dilute limit. The detailed properties of binary collisions are described in Part II. Part III contains experimental investigations of granular gases. Large-scale behaviour as found in astrophysical systems is discussed in Part IV. Part V, finally, deals with possible generalizations for dense granular systems.
An overview of the recent progress of research in computational physics and materials science. Particular topics are modelling of traffic flow and complex multi-scale solidification phenomena. The sections introduce novel research results of experts from a considerable diversity of disciplines such as physics, mathematical and computational modelling, nonlinear dynamics, materials sciences, statistical mechanics and foundry technique. The book intends to create a comprehensive and coherent image of the current research status and illustrates new simulation results of transport and interface dynamics by high resolution graphics. Various possible perspectives are formulated for future activities. Special emphasis is laid on exchanging experiences concerning numerical tools and on the bridging of the scales as is necessary in a variety of scientific and engineering applications. An interesting possibility along this line was the coupling of different computational approaches leading to hybrid simulations.
Water in the proximity of a surface (interfacial water) is abundant on the earth. It is involved in various physical and chemical processes and crucial for biological function. Despite numerous studies of interfacial water, systematic analysis of its properties is missing in scientific literature. This book is a first comprehensive review of experimental and simulation studies of water in various confining environments, such as hydrophilic and hydrophobic surfaces, surfaces of biomolecules, porous media, etc. Systematic analysis of interfacial and confined water is based on the firm physical ground, which accounts for variety of the thermodynamic states of water near the surface, surface pha...
Despite extensive empirical experience, there is both a scientific challenge and a technological need to develop an understanding of the mechanisms underlying the flow of grains. This new reference provides quick access to the current level of knowledge, containing review articles covering recent developments in the field of granular media from the viewpoints of applied, experimental, and theoretical physics. In short, a must-have for advanced researchers and specialists as well as a useful starting point for anyone entering this field. The authors represent different directions of research in the field, with their contributions covering: - Static properties - Granular gases - Dense granular flow - Hydrodynamic interactions - Charged and magnetic granular matter - Computational aspects
Gives readers a more thorough understanding of DEM and equips researchers for independent work and an ability to judge methods related to simulation of polygonal particles Introduces DEM from the fundamental concepts (theoretical mechanics and solidstate physics), with 2D and 3D simulation methods for polygonal particles Provides the fundamentals of coding discrete element method (DEM) requiring little advance knowledge of granular matter or numerical simulation Highlights the numerical tricks and pitfalls that are usually only realized after years of experience, with relevant simple experiments as applications Presents a logical approach starting withthe mechanical and physical bases,followed by a description of the techniques and finally their applications Written by a key author presenting ideas on how to model the dynamics of angular particles using polygons and polyhedral Accompanying website includes MATLAB-Programs providing the simulation code for two-dimensional polygons Recommended for researchers and graduate students who deal with particle models in areas such as fluid dynamics, multi-body engineering, finite-element methods, the geosciences, and multi-scale physics.
This volume contains contributions from co-operative research activities in physics and chemistry and addresses heterogeneous systems like atoms and molecules in complex environments, dye molecules like the retinal chromophore in the protein box of the human eye, interacting atoms/molecules in the interlayer of adsorbed structures, nucleation and domain formation processes in magnetic and martensitic systems. The particular aim of the contributions is to deduce the connection between different grades of heterogeneity and to bridge the gap between chemicals and heterogeneity on the atomic scale, and the physics of macroscopically heterogeneous systems. Besides the diverse experimental tools employed in the investigations, accompanying theoretical investigations range from ab initio molecular dynamics studies of the microscopic systems to Monte Carlo simulations of the larger-scale problems.