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Mathematical Modeling of Lithium Batteries
by Krishnan S. Hariharan Piyush Tagade Sanoop RamachandranCompiling state of the art approaches in mathematical modeling of lithium batteries, this monograph develops a theoretical framework of various modeling approaches, and discusses recent trends in research and their applications and limitations. It draws together the plethora of existing published research, and provides a much-needed coherent framework of battery modeling techniques. The book explores electrochemical models (EM), electrochemical impedance spectroscopy models (EIS), equivalent circuit models (ECM) and reduced order models (ROM), as well as fundamental theory, equations, model development and solution methodology to algorithms. Providing an invaluable resource to industrial R & D departments and electric vehicle manufacturers, this book is also intended for battery consortiums and academic research groups involved in battery modelling.
Mathematical Modeling Of Melting And Freezing Processes
by V. AlexiadesThis reference book presents mathematical models of melting and solidification processes that are the key to the effective performance of latent heat thermal energy storage systems (LHTES), utilized in a wide range of heat transfer and industrial applications. This topic has spurred a growth in research into LHTES applications in energy conservation and utilization, space station power systems, and thermal protection of electronic equipment in hostile environments. Further, interest in mathematical modeling has increased with the speread of high powered computers used in most industrial and academic settings. In two sections, the book first describes modeling of phase change processes and then describes applications for LHTES. It is aimed at graduate students, researchers, and practicing engineers in heat transfer, materials processing, multiphase systems, energy conservation, metallurgy, microelectronics, and cryosurgery.
Mathematical Modeling of Physical Systems: Applications of Fields, Circuits and Signal Processing (Advances in Intelligent Systems and Computing #1436)
by Adhir Baran Chattopadhyay Shazia Hasan Snehaunshu ChowdhuryThe book presents mathematical modelling of physical systems by combined approach based on field theory, circuit theory and signal processing. The book is broadly divided into three parts: applications of field theory, applications of circuit theory and applications of signals processing. First part contains six chapters, second part has two chapters and third part contains two chapters. First part is further decoupled into three plus three chapters, based on the common “field nature” exhibited by electromagnetic quantities and fluid quantities.
Mathematical Modeling of Protein Complexes (Biological and Medical Physics, Biomedical Engineering)
by Tatiana Koshlan Kirill KulikovThis book is devoted to the physical and mathematical modeling of the formation of complexes of protein molecules. The models developed show remarkable sensitivity to the amino acid sequences of proteins, which facilitates experimental studies and allows one to reduce the associated costs by reducing the number of measurements required according to the developed criteria. These models make it possible to reach a conclusion about the interactions between different amino acid chains and to identify more stable sites on proteins. The models also take the phosphorylation of amino acid residues into account. At the end of the book, the authors present possible directions of application of their physical and mathematical models in clinical medicine.
Mathematical Modeling of Shock-Wave Processes in Condensed Matter: From Statistical Thermodynamics to Control Theory (Shock Wave and High Pressure Phenomena)
by Tatiana Aleksandrovna KhantulevaThis book offers an interdisciplinary theoretical approach based on non-equilibrium statistical thermodynamics and control theory for mathematically modeling shock-induced out-of-equilibrium processes in condensed matter. The book comprises two parts. The first half of the book establishes the theoretical approach, reviewing fundamentals of non-equilibrium statistical thermodynamics and control theory of adaptive systems. The latter half applies the presented approach to a problem on shock-induced plane wave propagation in condensed matter. The result successfully reproduces the observed feature of waveform propagation in experiments, which conventional continuous mechanics cannot access. Further, the consequent stress–strain relationships derived with relaxation and inertia effect in elastic–plastic transition determines material properties in transient regimes.
Mathematical Modeling of Unsteady Inviscid Flows (Interdisciplinary Applied Mathematics #50)
by Jeff D. EldredgeThis book builds inviscid flow analysis from an undergraduate-level treatment of potential flow to the level required for research. The tools covered in this book allow the reader to develop physics-based mathematical models for a variety of flows, including attached and separated flows past wings, fins, and blades of various shapes undergoing arbitrary motions. The book covers all of the ingredients of these models: the solution of potential flows about arbitrary body shapes in two- and three-dimensional contexts, with a particular focus on conformal mapping in the plane; the decomposition of the flow into contributions from ambient vorticity and body motion; generalized edge conditions, of which the Kutta condition is a special case; and the calculation of force and moment, with extensive treatments of added mass and the influence of fluid vorticity. The book also contains an extensive primer with all of the necessary mathematical tools. The concepts are demonstrated on several example problems, both classical and modern.
Mathematical Modeling, Simulation and Optimization for Power Engineering and Management (Mathematics in Industry #34)
by Simone Göttlich Michael Herty Anja MildeThis edited monograph offers a summary of future mathematical methods supporting the recent energy sector transformation. It collects current contributions on innovative methods and algorithms. Advances in mathematical techniques and scientific computing methods are presented centering around economic aspects, technical realization and large-scale networks. Over twenty authors focus on the mathematical modeling of such future systems with careful analysis of desired properties and arising scales. Numerical investigations include efficient methods for the simulation of possibly large-scale interconnected energy systems and modern techniques for optimization purposes to guarantee stable and reliable future operations. The target audience comprises research scientists, researchers in the R&D field, and practitioners. Since the book highlights possible future research directions, graduate students in the field of mathematical modeling or electrical engineering may also benefit strongly.
Mathematical Modelling: Simulation Analysis and Industrial Applications
by Pramod Belkhode Prashant Maheshwary Kanchan Borkar J.P. ModakThis book investigates human–machine systems through the use of case studies such as crankshaft maintenance, liner piston maintenance, and biodiesel blend performance. Through mathematical modelling and using various case studies, the book provides an understanding of how a mathematical modelling approach can assist in working out problems in any industrial-oriented activity. Mathematical Modelling: Simulation Analysis and Industrial Applications details a data analysis approach using mathematical modelling sensitivity. This approach helps in the processing of any type of data and can predict the result so that based on the result, the activity can be controlled by knowing the most influencing variables or parameters involved in the phenomenon. This book helps to solve field and experimental problems of any research activity using a data-based modelling concept to assist in solving any type of problem. Students in manufacturing, mechanical, and industrial engineering programs will find this book very useful. This topic has continued to advance and incorporate new concepts so that the manufacturing field continues to be a dynamic and exciting field of study.
Mathematical Modelling and Analysis of Infectious Diseases (Studies in Systems, Decision and Control #302)
by Khalid Hattaf Hemen DuttaThis book discusses significant research and study topics related to mathematical modelling and analysis of infectious diseases. It includes several models and modelling approaches with different aims, such as identifying and analysing causes of occurrence and re-occurrence, causes of spreading, treatments and control strategies. A valuable resource for researchers, students, educators, scientists, professionals and practitioners interested in gaining insights into various aspects of infectious diseases using mathematical modelling and mathematical analysis, the book will also appeal to general readers wanting to understand the dynamics of various diseases and related issues. Key FeaturesMathematical models that describe population prevalence or incidence of infectious diseasesMathematical tools and techniques to analyse data on the incidence of infectious diseasesEarly detection and risk estimate models of infectious diseasesMathematical models that describe the transmission of infectious diseases and analyse dataDynamical analysis and control strategies for infectious diseasesStudies comparing the utility of particular models in describing infected diseases-related issues such as social, health and economic
Mathematical Modelling and Computing in Physics, Chemistry and Biology: Fundamentals and Applications (Studies in Systems, Decision and Control #495)
by Zdzislaw TrzaskaThis book keeps an eye in the direction of applications of advanced and high performance scientific computing in describing the behavior of natural and constructed systems, e.g. chaos, bifurcation, fractal, Lyapunov exponent, period doubling, Poincaré map, strange attractor etc. With the aid of powerful computers the modem theory of chaos and its geometry, the fractals, and attractors are developed. The concepts of object oriented computing are introduced early in the text and steadily expanded as one progresses through the chapters. The beginning of each chapter is of an introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on nonlinear stability and convergence. This is the first complete introduction to process modelling and computing that fully integrates software tools — enabling professionals and students to master critical techniques hands on through computer simulations based on the popular MATLAB environment. The book offers a simple tool for all those oscillations that are travelling through the world, helping them discover its hidden beauty. Many applications as well as results of computer simulations are presented. The center of concern is set on existing as well as emerging continuous methods of investigations useful for researchers, engineers and practitioners active in many and often interdisciplinary fields, where physics, electrochemistry, biology and medicine play a key role. Coverage includes: • Dynamic behavior of nonlinear systems, • Fundamental descriptions of processes exhibiting nonlinear oscillations, • Mechanism and function of structures of nonlinear oscillations’ patterns, • Analysis of dynamical oscillations in electric circuits and systems, • Artificial intelligence models of natural systems, • Nonlinear oscillations in chemistry, biology and medicine, • Oscillations in mechanics and transport systems, • Oscillations in fractional-order systems, • Energy harvesting systems from the surrounding environment. With an insatiable appetite for exploring the surrounding world and doing research, this book can help readers quickly find ways to use new computers and facilitate the quest for greater knowledge and understanding of reality. The reach of novelty of the book ranges from new mathematical ideas to motivating questions and science issues in many subject areas.
Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields: Regular and Chaotic Dynamics of Micro/Nano Beams, and Cylindrical Panels (Advanced Structured Materials #142)
by Jan Awrejcewicz Anton V. Krysko Maxim V. Zhigalov Vadim A. KryskoThis book is devoted to researchers and teachers, as well as graduate students, undergraduates and bachelors in engineering mechanics, nano-mechanics, nanomaterials, nanostructures and applied mathematics. It presents a collection of the latest developments in the field of nonlinear (chaotic) dynamics of mass distributed-parameter nanomechanical structures, providing a rigorous and comprehensive study of modeling nonlinear phenomena. It is written in a unique pedagogical style particularly suitable for independent study and self-education. In addition, the book achieves a good balance between Western and Eastern extensive studies of the mathematical problems of nonlinear vibrations of structural members.
Mathematical Modelling and Optimization of Engineering Problems (Nonlinear Systems and Complexity #30)
by Dumitru Baleanu J. A. Tenreiro Machado Necati ÖzdemirThis book presents recent developments in modelling and optimization of engineering systems and the use of advanced mathematical methods for solving complex real-world problems. It provides recent theoretical developments and new techniques based on control, optimization theory, mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena including latest technologies such as additive manufacturing. Specific topics covered in detail include combinatorial optimization, flow and heat transfer, mathematical modelling, energy storage and management policy, artificial intelligence, optimal control, modelling and optimization of manufacturing systems.
Mathematical Modelling by Help of Category Theory: Abstract Perspectives on Models and Coupling of Models (Mathematical Engineering)
by Dmitrii LegatiukThis monograph offers a novel structural perspective on the modelling of engineering problems, utilizing abstract mathematics in the form of category theory. Specifically, the book aims to enhance the understanding of mathematical modelling by developing a category theory-based framework. Category theory is employed to establish clear relationships between mathematical models and their complexities. The theory is then extended to encompass coupled mathematical models, incorporating more advanced categorical structures. To bridge theory and practice, the book presents engineering applications of the abstract categorical framework, providing various modelling examples from real-world engineering scenarios. Additionally, it introduces initial concepts for automatic model generation and error detection in modelling. The theory developed here demonstrates the practical utility of category theory, making this book a valuable resource for researchers in applied mathematics and engineering, particularly those focused on theoretical foundations of modelling.
Mathematical Modelling for Engineering and Physical Applications: Practical Examples and Case Studies
by Mohd Hafiz Mohd Noor Atinah Ahmad Syakila Ahmad Md Yushalify Misro Mohamad Hekarl UzirThis edited volume from mathematical modelling experts employs a structured approach to showcase the latest research and provide a comprehensive guide to the principles, techniques and practical applications of mathematical modelling in the fields of engineering and the physical sciences.Readers will gain an insight into the fundamentals of mathematical modelling, its application in engineering and the physical sciences, recent advances in the field, real-world case studies and challenges and future directions in the field. The book first introduces readers to the fundamentals of mathematical modelling, including the definition, scope and steps involved in the modelling process. Mathematical tools and techniques relevant to modelling are explained. The book then addresses the application of mathematical modelling in engineering and the physical sciences. It covers various domains, such as mechanical, biomedical, chemical, computer and environmental engineering, as well as green energy, physics and other physical science applications. Furthermore, the book explores the integration of data-driven approaches, leveraging the power of big data and analytics to enhance modelling capabilities. Through real-life case studies, readers gain practical insights into how mathematical modelling is applied in various industries and scientific disciplines. These case studies analyse the modelling process, challenges faced and outcomes achieved. Readers will gain a solid foundation to develop effective mathematical models and apply them to solve complex engineering and physical problems. This foundation will also enable them to tackle problems and make informed decisions in their own projects. Finally, readers will be able to anticipate and adapt to evolving technologies and stay ahead in their respective fields.This book is a valuable resource primarily for undergraduate and graduate students seeking a comprehensive guide to this important discipline. Researchers, engineers and scientists will also benefit from the discussions within. Overall, the book empowers readers with the knowledge, skills and practical insights to effectively apply mathematical modelling in engineering and the physical sciences.
Mathematical Modelling, Nonlinear Control and Performance Evaluation of a Ground Based Mobile Air Defence System (Mechanisms and Machine Science #76)
by Constantinos FrangosIn this book, the author deals with the mathematical modelling, nonlinear control and performance evaluation of a conceptual anti-aircraft gun based mobile air defence system engaging an attacking three-dimensional aerial target.This book is of interest to academic faculty, graduate students and industry professionals working in the fields of mathematical modelling and control, ground vehicles, mobile air defence systems and other related topics.
Mathematical Modelling of Aerospace Dynamic Systems with Practical Applications
by Jitendra R. Raol V.P.S. NaiduMathematical Modelling of Aerospace Dynamic Systems with Practical Applications provides mathematical models for several aerospace dynamic systems: aircraft, rotorcraft, missiles, unmanned aerial vehicles (UAVs), mini air vehicles (MAVs), autonomous underwater vehicles (AUWVs), and satellite-coordinate systems.Presenting the use of mathematical models for analysis, prediction, and control of these systems, this book discusses numerous applications in aircraft/helicopter parameter estimation, guidance and navigation of these vehicles, underwater object search, aerial terrain mapping, and satellite orbit determination. It explains path planning with obstacle avoidance, object occlusion detection and tracking, and multisensory target tracking and sensor data fusion.This book is intended for senior undergraduate mechanical and aerospace engineering students taking courses in aerospace systems and dynamics, flight dynamics and control, and dynamical systems and estimation.Instructors will be able to utilize a Solutions Manual and Figure Slides for their course.
Mathematical Modelling of Complex Patterns Through Fractals and Dynamical Systems (Studies in Infrastructure and Control)
by Gowrisankar Arulprakash Kishore Bingi Cristina SerpaThis book offers a wide range of interesting correlations beyond the domains of dynamical systems, complex systems, and fractal geometry. Exploring complex systems and their properties using the fractal approaches, this book provides initial solutions for new areas where fractal theory has yet to verify itsexpertise. Further, the book focusses on the latest scientific interest and illustrates general fractal theory in multidisciplinary areas such as computer science, electronics engineering, electrical engineering, bioengineering, biomedical, quantum physics and fluid dynamics research. This edited book is designed for professionals in the field of mathematics, computer science and physics, and even for non-specialists to help understand the concepts of fractals in nonlinear dynamical systems and complex systems while offering applications for researchers in the pure as well as in the applied background of science andengineering.
Mathematical Modelling of Fluid Dynamics and Nanofluids
by Katta Ramesh Fateh Mebarek-Oudina Basma SouayehMathematical Modelling of Fluid Dynamics and Nanofluids serves as a comprehensive resource for various aspects of fluid dynamics simulations, nanofluid preparation, and numerical techniques.The book examines the practical implications and real-world applications of various concepts, including nanofluids, magnetohydrodynamics, heat and mass transfer, and radiation. By encompassing these diverse domains, it offers readers a broad perspective on the interconnectedness of these fields.The primary audience for this book includes researchers and graduate students who possess a keen interest in interdisciplinary studies within the realms of fluid dynamics, nanofluids, and biofluids. Its content caters to those who wish to deepen their knowledge and tackle complex problems at the intersection of these disciplines.
Mathematical Modelling of Haemodialysis: Cardiovascular Response, Body Fluid Shifts, and Solute Kinetics
by Leszek Pstras Jacek WaniewskiBeginning with an introduction to kidney function, renal replacement therapies, and an overview of clinical problems associated with haemodialysis, this book explores the principles of the short-term baroreflex regulation of the cardiovascular system and the mechanisms of water and solute transport across the human body from a mathematical model perspective. It synthesizes theoretical physiological concepts and practical aspects of mathematical modelling needed for simulation and quantitative analysis of the haemodynamic response to dialysis therapy.Including an up-to-date review of the literature concerning the modelled physiological mechanisms and processes, the book serves both as an overview of transport and regulatory mechanisms related to the cardiovascular system and body fluids and as a useful reference for the study and development of mathematical models of dynamic physiological processes.Mathematical Modelling of Haemodialysis: Cardiovascular Response, Body Fluid Shifts, and Solute Kinetics is intended for researchers and graduate students in biomedical engineering, physiology, or medicine interested in mathematical modelling of cardiovascular dynamics and fluid and solute transport across the human body, both under physiological conditions and during haemodialysis therapy.
Mathematical Modelling of Heat Transfer Performance of Heat Exchanger using Nanofluids
by Prashant Maheshwary Chandrahas C. Handa Neetu Gyanchandani Pramod BelkhodeThe book presents a detailed discussion of nanomaterials, nanofluids and application of nanofluids as a coolant to reduce heat transfer. It presents a detailed approach to the formulation of mathematical modelling applicable to any type of case study with a validation approach and sensitivity and optimization. Covers the aspects of formulation of mathematical modelling with optimization and sensitivity analysis. Presents a case study based on heat transfer improvement and performs operations using nanofluids. Examines the analysis of experimental data by the formulation of a mathematical model and correlation between input data and output data. Illustrates heat transfer improvement of heat exchangers using nanofluids through the mathematical modelling approach. Discusses applications of nanofluids in cooling systems. This book discusses the aspect of formulation of mathematical modelling with optimization and sensitivity analysis. It further presents a case study based on the heat transfer improvement and performing operations using nanofluids. The text covers sensitivity analysis and analysis from the indices of the model. It also discusses important concepts such as nanomaterials, applications of nanomaterials, and nanofluids. It will serve as an ideal reference text for senior undergraduate, and graduate students in fields including mechanical engineering, chemical engineering, aerospace engineering, industrial engineering, and manufacturing engineering.
Mathematical Modelling of Sediment Transport and Deposition in Reservoirs - Guidelines and Case Studies / Modélisation Mathématique du Transport et des Dépôts de Sédiments dans les Réservoirs - Lignes Directrices et Études de Cas (ICOLD Bulletins Series #140)
by Cigb IcoldAs reservoir sedimentation has proven to be a serious problem in South Africa, research in this field has been ongoing for more than 70 years. This publication emanates from extensive research which has been undertaken over the past 30 years with the support of the South African Department of Water and Sanitation as well as the South African Water Research Commission. A great deal of information has fortunately also been obtained from China. Given the universal nature of hydraulic formulae it is not surprising, yet gratifying, that Chinese and South African data generally conform to the same mathematical relationships. This indicates that these relationships should be applicable in other countries as well. Much of the information contained here has been condensed from a more comprehensive publication. This ICOLD Bulletin follows on Bulletin 115 “Dealing with reservoir sedimentation”, which gave guidelines for management of reservoirs to limit sedimentation. The guidelines on mathematical modelling of sediment transport dynamics in reservoirs in this document can be used during the planning and design of new dams, as well as for the management of existing dams. Comme la sédimentation dans les réservoirs s'est avérée être un problème sérieux en Afrique du Sud, la recherche dans ce domaine est en cours depuis plus de 70 ans. Cette publication émane de la recherche étendue qui a été menée au cours des 30 dernières années avec l'appui du ministère sud-africain de l’eau et de l’assainissement, ainsi que de la commission sud-africaine de recherche sur l'eau. Un grand nombre d'informations ont également été obtenues de la part de la Chine. Étant donné le caractère universel de formules hydrauliques, il n'est pas surprenant, mais très gratifiant, que les données chinoises et sud-africaines se conforment généralement aux mêmes relations mathématiques. Ceci indique que ces relations devraient être applicables dans d'autres pays également. Une grande partie de l'information contenue ici a été condensée à partir d'une publication plus complète. Ce bulletin CIGB fait suite au bulletin 115 "Traité sur la sédimentation dans les réservoirs", qui a donné des directives pour la gestion des réservoirs en vue de limiter la sédimentation. Les directives sur la modélisation mathématique de la dynamique de transport des sédiments dans les réservoirs de ce présent document peuvent être utilisées lors de la planification et la conception de nouveaux barrages et pour la gestion des barrages existants.
Mathematical Modelling of Solids with Nonregular Boundaries (Mathematical Modeling Ser. #3)
by A.B. Movchan N.V. MovchanMathematical Modelling of Solids with Nonregular Boundaries demonstrates the use of asymptotic methods and other analytical techniques for investigating problems in solid mechanics. Applications to solids with nonregular boundaries are described in detail, providing precise and rigorous treatment of current methods and techniques. The book addresses problems in fracture mechanics of inhomogeneous media and illustrates applications in strength analysis and in geophysics. The rigorous approach allows the reader to explicitly analyze the stress-strain state in continuous media with cavities or inclusions, in composite materials with small defects, and in elastic solids with sharp inclusions. Effective asymptotic procedures for eigenvalue problems in domains with small defects are clearly outlined, and methods for analyzing singularly perturbed boundary value problems are examined.Introductory material is provided in the first chapter of Mathematical Modelling of Solids with Nonregular Boundaries, which presents a survey of relevant and necessary information, including equations of linear elasticity and formulations of the boundary value problems. Background information - in the form of definitions and general solutions - is also provided on elasticity problems in various bounded and unbounded domains. This book is an excellent resource for students, applied scientists, and engineers.
Mathematical Modelling of Weld Phenomena: No. 4
by H. CerjakContains the papers presented at the fourth International Seminar "Numerical Analysis of Weldability" held in September 1997 at Schloss Seggau near Graz, Austria.
Mathematical Modelling of Weld Phenomena: No. 5
by H. CerjakContains the papers presented at the fourth International Seminar "Numerical Analysis of Weldability" held in September 1997 at Schloss Seggau near Graz, Austria.
Mathematical Modelling Techniques (Dover Books on Computer Science)
by Rutherford Aris"Engaging, elegantly written." -- Applied Mathematical ModellingMathematical modelling is a highly useful methodology designed to enable mathematicians, physicists and other scientists to formulate equations from a given nonmathematical situation. In this elegantly written volume, a distinguished theoretical chemist and engineer sets down helpful rules not only for setting up models but also for solving the mathematical problems they pose and for evaluating models.The author begins with a discussion of the term "model," followed by clearly presented examples of the different types of models (finite, statistical, stochastic, etc.). He then goes on to discuss the formulation of a model and how to manipulate it into its most responsive form. Along the way Dr. Aris develops a delightful list of useful maxims for would-be modellers. In the final chapter he deals not only with the empirical validation of models but also with the comparison of models among themselves, as well as with the extension of a model beyond its original "domain of validity."Filled with numerous examples, this book includes three appendices offering further examples treated in more detail. These concern longitudinal diffusion in a packed bed, the coated tube chromatograph with Taylor diffusion and the stirred tank reactor. Six journal articles, a useful list of references and subject and name indexes complete this indispensable, well-written guide."A most useful, readable-and stimulating-book, to be read both for pleasure and for enlightenment." -- Bulletin of the Institute of Mathematics and Its Applications