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Bringing together contributions on a diverse range of topics, this text explores the relationship between discrete and continuum mechanics as a tool to model new and complex metamaterials. Providing a comprehensive bibliography and historical review of the field, it covers mechanical, acoustic and pantographic metamaterials, discusses Naive Model Theory and Lagrangian discrete models, and their applications, and presents methods for pantographic structures and variational methods for multidisciplinary modeling and computation. The relationship between discrete and continuous models is discussed from both mathematical and engineering viewpoints, making the text ideal for those interested in the foundation of mechanics and computational applications, and innovative viewpoints on the use of discrete systems to model metamaterials are presented for those who want to go deeper into the field. An ideal text for graduate students and researchers interested in continuum approaches to the study of modern materials, in mechanical engineering, civil engineering, applied mathematics, physics, and materials science.
Mathematics Research Center Symposium: Theory of Dispersed Multiphase Flow covers the proceedings of an advanced seminar conducted by the Mathematics Research Center of the University of Wisconsin-Madison on May 26-28, 1982. The book focuses on solutions of long chain polymers in liquids, magnetic control of particle suspensions in fluid streams, aerosols, dense granular flows, and ice crystals or vapor bubbles dispersed in river waters. The selection first elaborates on the effects of interactions between particles on the rheology of dispersions; rheology of concentrated macromolecular solutions; and a survey of results in the mathematical theory of fluidization. Discussions focus on Rayleigh-Taylor instabilities, linear instability theory, steady solutions, general theory for polymer solutions and suspensions, electrostatically concentrated suspensions, and pair interaction theories. The text then examines instability in settling of suspensions due to Brownian effects; enhanced sedimentation in vessels having inclined walls; and simple kinetic theory of Brownian diffusion in vapors and aerosols. The text takes a look at the simulation of aerosol dynamics, continuum modeling of two-phase flows, multiphase mixture theory for fluid-particle flows, and mixture theory for turbulent diffusion of heavy particles. Topics include plane gravity flow, decomposition and averaging, isothermal flows of dilute suspensions, kinematics and the equations of motion, diffusional regularization, kinematic waves, and aerosol formation and growth in uniform systems. The selection is a valuable source of data for researchers interested in the theory of dispersed multiphase flow.
Today’s scientific and engineering community has a good grasp on how to model fluid flows at macro and molecular scales, with well-developed theory and supporting technologies. Between these two extremes lies the nano/meso scale (i.e. in the range of 50nm-500nm) where fluid flow models continue to be problematic. Continuum models used at macro scales assume a negligible influence from molecular interactions, while molecular models do not predict flow well at nano/meso dimensions. The solution, and the subject of this book, is to use elements from both to capture correctly the proper physics (from the molecular scale) and provide a description in terms of useful fluid properties (as characterized on the continuum scale). Fluid Properties at Nano/Meso Scale is based on the authors’ past five years’ research that has yielded new innovations in fluid simulation strategies at the nano/meso scale. The authors approach this subject in a straightforward and easy to understand format, providing a first step into the subject for researchers at all levels. They present new tools that allow the numerical computation of fluid properties from first principles, enabling the reader to begin to model successfully fluids at nano/meso scale. It is hoped that these first steps will engender the further development and advancement of simulation techniques at this scale, and keep engineering simulation at the cutting edge of technology. Presents internationally leading developments in the field of fluid properties at nano/meso scale Provides the reader with the first steps to fluid modelling at nano/meso-scales as well as state-of-the-art applications Includes innovative and new simulation techniques along with a detailed examination of existing numerical methods
Most conventional dryers use random heating to dry diverse materials without considering their thermal sensitivity and energy requirements for drying. Eventually, excess energy consumption is necessary to attain a low-quality dried product. Proper heat and mass transfer modelling prior to designing a drying system for selected food materials can overcome these problems. Heat and Mass Transfer Modelling During Drying: Empirical to Multiscale Approaches extensively discusses the issue of predicting energy consumption in terms of heat and mass transfer simulation. A comprehensive mathematical model can help provide proper insight into the underlying transport phenomena within the materials during drying. However, drying of porous materials such as food is one of the most complex problems in the engineering field that is also multiscale in nature. From the modelling perspective, heat and mass transfer phenomena can be predicted using empirical to multiscale modelling. However, multiscale simulation methods can provide a comprehensive understanding of the physics of drying food materials. KEY FEATURES Includes a detailed discussion on material properties that are relevant for drying phenomena Presents an in-depth discussion on the underlying physics of drying using conceptual visual content Provides appropriate formulation of mathematical modelling from empirical to multiscale approaches Offers numerical solution approaches to mathematical models Presents possible challenges of different modelling strategies and potential solutions The objective of this book is to discuss the implementation of different modelling techniques ranging from empirical to multiscale in order to understand heat and mass transfer phenomena that take place during drying of porous materials including foods, pharmaceutical products, paper, leather materials, and more.
This book is an homage to the pioneering works of E. Aero and G. Maugin in the area of analytical description of generalized continua. It presents a collection of contributions on micropolar, micromorphic and strain gradient media, media with internal variables, metamaterials, beam lattices, liquid crystals, and others. The main focus is on wave propagation, stability problems, homogenization, and relations between discrete and continuous models.
A high resolution electrochemical impedance spectroscopy study on anode supported single cells (ASC) is presented. The cells were characterised over a broad range of operating conditions, including different temperatures, current densities and various cathode and anode gas compositions.The analysis of the distribution of relaxation times combined with the numeric accuracy of a CNLS fit enabled the identification of five different processes contributing to the total polarisation loss of an ASC.
Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.
Volume 77 of Reviews in Mineralogy and Geochemistry focuses on important aspects of the geochemistry of geological CO2 sequestration. It is in large part an outgrowth of research conducted by members of the U.S. Department of Energy funded Energy Frontier Research Center (EFRC) known as the Center for Nanoscale Control of Geologic CO2 (NCGC). Eight out of the 15 chapters have been led by team members from the NCGC representing six of the eight partner institutions making up this center - Lawrence Berkeley National Laboratory (lead institution, D. DePaolo - PI), Oak Ridge National Laboratory, The Ohio State University, the University of California Davis, Pacific Northwest National Laboratory, and Washington University, St. Louis.