Nonextensive statistical mechanics is now a rapidly growing field and a new stream in the research of the foundations of statistical mechanics. This generalization of the well-known Boltzmann--Gibbs theory enables the study of systems with long-range interactions, long-term memories or multi-fractal structures. This book consists of a set of self-contained lectures and includes additional contributions where some of the latest developments -- ranging from astro- to biophysics -- are covered. Addressing primarily graduate students and lecturers, this book will also be a useful reference for all researchers working in the field.

This book features selected manuscripts presented at ICoNSoM 2019, exploring cutting-edge methods for developing novel models in nonlinear solid mechanics. Innovative methods like additive manufacturing-for example, 3D printing- and miniaturization mean that engineers need more accurate techniques for modeling solid body mechanics. The book focuses on the formulation of continuum and discrete models for complex materials and systems, particularly the design of metamaterials.

This monograph is concerned with free-boundary problems of partial differential equations arising in the physical sciences and in engineering. The existence and uniqueness of solutions to the Hele-Shaw problem are derived and techniques to deal with the Muskat problem are discussed. Based on these, mathematical models for the dynamics of cracks in underground rocks and in-situ leaching are developed. Contents Introduction The Hele-Shaw problem A joint motion of two immiscible viscous fluids Mathematical models of in-situ leaching Dynamics of cracks in rocks Elements of continuum mechanics

This book is the second volume of proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017). It includes reviewed contributions reporting successful applications in the fields of fluid dynamics, computational geosciences, structural analysis, nuclear physics, semiconductor theory and other topics. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete l evel. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is useful for researchers, PhD and master's level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as for engineers working in numerical modeling and simulations.

This book deals with the problem of cavitation, which is the formation of voids in a liquid or gas and with the behaviour of bubbles in liquids. There are currently few books written on this subject in such a clear and unified style. The study of cavitation and bubbly flow applies to many areas of interest; from valve damage in hydroelectric equipment, ship propellors and internal combustion engines to the performance of turbines and pumps of all sizes, to physiological phenomena such as the cracking of joints and the "bends". This book gives a coherent and unified treatment of the subject with an emphasis on the underlying physical phenomena. It is an important reference text for engineers who must deal with the problems of cavitation and bubbly flow and also for scientists interested in the basic phenomena.

Provides essential insight on uses of different AI techniques for pattern recognition, classification, prediction and estimation, exclusive to power system protection issues Presents introduction to enhanced electricity system analysis using decision-making tools Covers AI Applications in different protective relaying functions Discusses Issues and challenges in the protection of transmission and distribution systems Includes dedicated chapter on case studies, and applications

The study of disorder in solids is one of the key areas in contemporary solid state science. In crystalline solids there are well-developed models for describing the way in which defects control the atomic transport, thermodynamic and spectroscopic properties. In contrast, the conceptual and theoretical framework for describing these properties in amorphous solids is less well developed, partly due to the uncertainties in the structural models used to represent the disordered systems. Moreover, disordered solids include materials of great contemporary technological importance, for example, ceramic superconductors and amorphous semiconductors. The field has developed rapidly in the last few years, driven both by technological needs for improved materials and by the fundamental scientific problems posed by disorder in solids. Progress has been especially rapid in structural studies, using diffraction, EXAFS, NMR and microscopy techniques, in investigation of atomic and charge transport and in the application of theoretical and computational methods. The book provides a unified approach to disorder in solids. The earlier chapters present a survey of the theoretical and structural concepts used in describing defective and amorphous solids and the basic properties of these materials. The next chapters are devoted to a thorough survey of techniques and properties, including structural studies, transport, thermodynamic and spectroscopic properties and theoretical and computational techniques. The final chapters review materials and applications, including fast-ion conductors, sensors, amorphous semiconductors and novel glasses. It therefore presents a unique survey of an important field incontemporary solid state science.

Highlights the utilization of nanofillers. Investigates the moisture absorption and ageing on the physio-chemical, mechanical, thermal properties of the vinyl ester-based composites. Considers the influence of hybridization, fibre architecture, and fibre-ply orientation on the mechanical and thermal properties of vinyl ester-based biocomposites. Discusses the effects of the alkali treatment. Chapters are written by global experts to cover a diverse scope of industry applications for fibre-reinforced polymer composites.

Highlights the performance of epoxy-based biocomposites with reinforced with various natural fibres and plant resources. Investigates the behavior of hybrid biocomposites and biocomposites reinforced with various nanofillers. Evaluates the response of epoxy-based biocomposites exposed to moisture absorption, accelerated weathering, and hygrothermal aging. Discusses the static and dynamic properties, such as creep, fatigue, and free vibration properties. Chapters are written by global experts to cover a diverse scope of industry applications for fiber-reinforced polymer composites.

This is the first book to introduce the irrational elliptic function series, providing a theoretical treatment for the smooth and discontinuous system and opening a new branch of applied mathematics. The discovery of the smooth and discontinuous (SD) oscillator and the SD attractors discussed in this book represents a further milestone in nonlinear dynamics, following on the discovery of the Ueda attractor in 1961 and Lorenz attractor in 1963. This particular system bears significant similarities to the Duffing oscillator, exhibiting the standard dynamics governed by the hyperbolic structure associated with the stationary state of the double well. However, there is a substantial departure in nonlinear dynamics from standard dynamics at the discontinuous stage. The constructed irrational elliptic function series, which offers a way to directly approach the nature dynamics analytically for both smooth and discontinuous behaviours including the unperturbed periodic motions and the perturbed chaotic attractors without any truncation, is of particular interest. Readers will also gain a deeper understanding of the actual nonlinear phenomena by means of a simple mechanical model: the theory, methodology, and the applications in various interlinked disciplines of sciences and engineering. This book offers a valuable resource for researchers, professionals and postgraduate students in mechanical engineering, non-linear dynamics, and related areas, such as nonlinear modelling in various fields of mathematics, physics and the engineering sciences.

Lectures on Geophysical Fluid Dynamics offers an introduction to several topics in theoretical geophysical fluid dynamics, including the theory of large-scale ocean circulation, geostrophic turbulence, and Hamiltonian fluid dynamics. The book is based on an introductory course in dynamical oceanography offered to first-year graduate students at Scripps Institution of Oceanography. Each chapter is a self-contained introduction to its particular subject. Overall, the emphasis througout the book is on physical ideas rather than mathematical techniques. Readers are assumed to have had an elementary introduction to fluid dynamics, to know advanced calculus through partial differential equations, and to be familiar with the elementary ideas about linear waves, including the concept of group velocity.

In 2003 the German Research Foundation established a new priority programme on the subject of "Imaging Measurement Methods for Flow Analysis" (SPP 1147). This research programme was based on the fact that experimental ?ow analysis, in addition to theory and numerics, has always played a predominant part both in ?ow research and in other areas of industrial practice. At the time, however, c- parisons with numerical tools (such as Computational Fluid Dynamics), which were increasingly used in research and practical applications, soon made it clear that there are relatively few experimental procedures which can keep up with state-of-the-art numerical methods in respect of their informative value, e.g. with regard to visu- spatial analysis or the dynamics of ?ow ?elds. The priority programme "Imaging Measurement Methods for Flow Analysis" was to help close this development gap. Hence the project was to focus on the investigation of ef?cient measurement me- ods to analyse complex spatial ?ow ?elds. Speci?c cooperations with computer sciences and especially measurement physics were to advance ?ow measurement techniques to a widely renowned key technology, exceeding the classical ?elds of ?uid mechanics by a long chalk.

This reference text introduces latest mathematical modeling techniques and analysis for renewable energy systems. It comprehensively covers important topics including study of combustion characteristics of laser ignited gasoline-air mixture, hierarchical demand response controller, mathematical modeling of an EOQ for a multi-item inventory system, and integration and modeling of small-scale pumped storage with micro optimization model (HOMER). Aimed at graduate students and academic researchers in the fields of electrical engineering, environmental engineering, mechanical engineering, and civil engineering, this text: Discusses applied mathematical modeling techniques in renewable energy. Covers effective storage and generation of power through renewable energy generation sources. Provides real life applications and problems based on renewable energy. Covers new ways of applying mathematical techniques for applications in diverse areas of science and engineering.

This book offers detailed insights into new methods for high-fidelity CFD, and their industrially relevant applications in aeronautics. It reports on the H2020 TILDA project, funded by the European Union in 2015-2018. The respective chapters demonstrate the potential of high-order methods for enabling more accurate predictions of non-linear, unsteady flows, ensuring enhanced reliability in CFD predictions. The book highlights industrially relevant findings and representative test cases on the development of high-order methods for unsteady turbulence simulations on unstructured grids; on the development of the LES/DNS methodology by means of multilevel, adaptive, fractal and similar approaches for applications on unstructured grids; and on leveraging existent large-scale HPC networks to facilitate the industrial applications of LES/DNS in daily practice. Furthermore, the book discusses multidisciplinary applications of high-order methods in the area of aero-acoustics. All in all, it offers timely insights into the application and performance of high-order methods for CFD, and an extensive reference guide for researchers, graduate students, and industrial engineers whose work involves CFD and turbulence modeling.

* The books is very timely: Many expect a return to business as usual after Covid19, but the bigger problem of life-threatening climate change makes it clear that the way humans live and work must change. * The book is informative and stimulating: As technological progress made, it is important that those who need to know are informed. This includes both interested members of the public as well as key policy makers and other climate change stakeholders. * The book is controversial: The degree of change is large, with winners and losers coming from ideas and approaches that in some cases appear to contradict current thinking (e.g. electric cars). * The book is written by an expert: The author has had a distinguished career, in designing safe systems using technology pushed to the limit of optimum performance while making sure that everything is safe throughout the whole life. He has served on many advisory boards reporting at high level to the prime minister, and ministerial level both in UK, and in Indonesia.

This edited book provides invited and reviewed contributions in mathematical, physical and experimental modelling and simulations in all fluid mechanics branches. Contributions explore the emerging and state-of-the-art tools in the field authored by well-established researchers to derive improved performance of modelling and simulations. Serving the multidisciplinary fluid mechanics community, this book aims to publish new research work that enhances the prediction and understanding of fluid mechanics and balances from academic theory to practical applications through modelling, numerical studies, algorithms and simulation. The book offers researchers, students and practitioners significant insights on modelling and simulations in fluid mechanics. It offers readers a range of academic contributions on fluid mechanics by researchers that have become leaders in their field. The research work presented in this book will add values to the existing literature in terms of what needs to be done better to direct modelling and simulations towards a growing and rapidly developing field.

Experts all agree that human beings can mitigate climate change by changing how we use energy for heat, light, movement, and production. Stewards of heritage sites and collections can engage the public at the grassroots level to raise awareness about the cultural and socioeconomic reasons for past choices that have contributed to climate change. This book will help cultural institutions identify ways to interpret new stories through historic places and resources, especially if staff have made the commitment to "go green." Without place-based context, discussions about energy focus primarily on the science, and not the human experience. By reminding us of our past practices and values regarding energy production and use, historic places can inspire different ways of thinking about transitioning to different energy sources, and question the doctrine that high energy use is necessary for progress. Public interpretation can expose the vast energy infrastructure and the impact of energy extraction, production and use on place. Historic sites offer place-based contexts for visitors to interact with and think critically about the processes and the impact of energy development in, for example, a maritime village. This book synthesizes science with the humanities outside of popular media and other politicized spaces to identify different kinds of energy resources in many historic collections or sites. It supplements current calls for economic and policy changes, because as stewards of historic places, we need to do what we can in this "all hands-on deck" moment to prepare for shared stewardship of our future.

Quantum mechanics is the foundation of modern technology, due to its innumerable applications in physics, chemistry and even biology. This second volume studies Schroedinger s equation and its applications in the study of wells, steps and potential barriers. It examines the properties of orthonormal bases in the space of square-summable wave functions and Dirac notations in the space of states. This book has a special focus on the notions of the linear operators, the Hermitian operators, observables, Hermitian conjugation, commutators and the representation of kets, bras and operators in the space of states. The eigenvalue equation, the characteristic equation and the evolution equation of the mean value of an observable are introduced. The book goes on to investigate the study of conservative systems through the time evolution operator and Ehrenfest s theorem. Finally, this second volume is completed by the introduction of the notions of quantum wire, quantum wells of semiconductor materials and quantum dots in the appendices.

This monograph is centered on mathematical modeling, innovative numerical algorithms and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art phase-field fracture models are complemented with prototype explanations and rigorous numerical analysis. These developments are embedded into a carefully designed balance between scientific computing aspects and numerical modeling of nonstationary coupled variational inequality systems. Therein, a focus is on nonlinear solvers, goal-oriented error estimation, predictor-corrector adaptivity, and interface conditions. Engineering applications show the potential for tackling practical problems within the fields of solid mechanics, porous media, and fluidstructure interaction.

In Engines, the always entertaining and informative Theodore Gray explores the glorious guts and intricate innards of dozens of impressive machines. Through his engaging and unexpected stories and Nick Mann's trademark gorgeous photography, Gray takes us on a journey from ancient Greek steam engines to our most sophisticated twenty-first-century machinery. We take time to appreciate the detailed functionality of the internal combustion engine, the connection between magnetism and electric motors, as well as hydraulics, robotics, and more. Each chapter builds on the previous, illuminating the evolution of engines and revealing the ingenuity brought to bear as humans invented and perfected these marvelous mechanical systems. Along the way, Gray regales us with tales of his own experiences working with and collecting these machines. For fans of how things are made and how they work, Engines is a loving tribute to the mechanical world.

The study of fluid dynamics focuses on the motions of liquids and gases and their interactions with solid bodies. Inviscid flow occurs when the effect of shear stresses on a fluid's motion is sufficiently small, as compared to other influences, so that they are considered negligible and can be ignored (hence having zero viscosity or being "inviscid"). A fluid is considered incompressible when the density of a liquid does not change or changes in such small amounts that its effects are canceled out when calculating the movement of liquid. Thus, an inviscid incompressible flow is a calculated flow that retains constant density and does not sustain a measurable amount stress. This represents most fluid dynamic situations encountered in the real world including flow through pipes and other vessels. The study of this kind of flow is an integral part of modern advanced fluid dynamics, which involves a great amount of fluid computations.

This course is offered at most engineering schools at the first year graduate level. Our very successful book by Ron Panton covers the same course from a different approach. With the combination of Panton and Marshall's books, we will have a book for every fluid dynamics course offered.

This book presents a snapshot of the state-of-art in the field of turbulence modeling, with an emphasis on numerical methods. Topics include direct numerical simulations, large eddy simulations, compressible turbulence, coherent structures, two-phase flow simulation and many more. It includes both theoretical contributions and experimental works, as well as chapters derived from keynote lectures, presented at the fourth Turbulence and Interactions Conference (TI 2015), which was held on June 11-14 in Cargese, Corsica, France. This multifaceted collection, which reflects the conferences emphasis on the interplay of theory, experiments and computing in the process of understanding and predicting the physics of complex flows and solving related engineering problems, offers a timely guide for students, researchers and professionals in the field of applied computational fluid dynamics, turbulence modeling and related areas.

This book presents concepts of theoretical physics with engineering applications. The topics are of an intense mathematical nature involving tools like probability and random processes, ordinary and partial differential equations, linear algebra and infinite-dimensional operator theory, perturbation theory, stochastic differential equations, and Riemannian geometry. These mathematical tools have been applied to study problems in mechanics, fluid dynamics, quantum mechanics and quantum field theory, nonlinear dynamical systems, general relativity, cosmology, and electrodynamics. A particularly interesting topic of research interest developed in this book is the design of quantum unitary gates of large size using the Feynman diagrammatic approach to quantum field theory. Through this book, the reader will be able to observe how basic physics can revolutionize technology and also how diverse branches of mathematical physics like large deviation theory, quantum field theory, general relativity, and electrodynamics have many common issues that provide the starting point for unifying the whole of physics, namely in the formulation of Grand Unified Theories (GUTS).

Highlights sustainability via new tribological approaches and how such methods are essential Covers theoretical aspects of various tribological topics concerning mechanical and material designs for energy-efficient systems Includes practical global sustainability based on the regional requirement of tribological research and sustainable impact Reviews tribology of green lubricants, green additives and lightweight materials Discusses topics related to biomimetics and bio-tribology