January 20, 2021

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Similarity and Modeling in Science and Engineering

Similarity and Modeling in Science and Engineering
Author : Josef Kuneš
Publisher : Springer Science & Business Media
Release Date : 2012-04-07
Category : Mathematics
Total pages :442
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The present text sets itself in relief to other titles on the subject in that it addresses the means and methodologies versus a narrow specific-task oriented approach. Concepts and their developments which evolved to meet the changing needs of applications are addressed. This approach provides the reader with a general tool-box to apply to their specific needs. Two important tools are presented: dimensional analysis and the similarity analysis methods. The fundamental point of view, enabling one to sort all models, is that of information flux between a model and an original expressed by the similarity and abstraction Each chapter includes original examples and applications. In this respect, the models can be divided into several groups. The following models are dealt with separately by chapter; mathematical and physical models, physical analogues, deterministic, stochastic, and cybernetic computer models. The mathematical models are divided into asymptotic and phenomenological models. The phenomenological models, which can also be called experimental, are usually the result of an experiment on an complex object or process. The variable dimensionless quantities contain information about the real state of boundary conditions, parameter (non-linearity) changes, and other factors. With satisfactory measurement accuracy and experimental strategy, such models are highly credible and can be used, for example in control systems.

Dimensionless Physical Quantities in Science and Engineering

Dimensionless Physical Quantities in Science and Engineering
Author : Josef Kuneš
Publisher : Elsevier
Release Date : 2012
Category : Science
Total pages :441
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Dimensionless quantities, such as ?, e, and ? are used in mathematics, engineering, physics, and chemistry. In recent years the dimensionless groups, as demonstrated in detail here, have grown in significance and importance in contemporary mathematical and computer modeling as well as the traditional fields of physical modeling. This book offers the most comprehensive and up to date resource for dimensionless quantities, providing not only a summary of the quantities, but also a clarification of their physical principles, areas of use, and other specific properties across multiple relevant fields. Presenting the most complete and clearly explained single resource for dimensionless groups, this book will be essential for students and researchers working across the sciences. Includes approximately 1,200 dimensionless quantities Features both classic and newly developing fields Easy to use with clear organization and citations to relevant works

The Art of Modeling in Science and Engineering with Mathematica, Second Edition

The Art of Modeling in Science and Engineering with Mathematica, Second Edition
Author : Diran Basmadjian,Ramin Farnood
Publisher : CRC Press
Release Date : 2006-08-18
Category : Mathematics
Total pages :509
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Thoroughly revised and updated, The Art of Modeling in Science and Engineering with Mathematica®, Second Edition explores the mathematical tools and procedures used in modeling based on the laws of conservation of mass, energy, momentum, and electrical charge. The authors have culled and consolidated the best from the first edition and expanded the range of applied examples to reach a wider audience. The text proceeds, in measured steps, from simple models of real-world problems at the algebraic and ordinary differential equations (ODE) levels to more sophisticated models requiring partial differential equations. The traditional solution methods are supplemented with Mathematica , which is used throughout the text to arrive at solutions for many of the problems presented. The text is enlivened with a host of illustrations and practice problems drawn from classical and contemporary sources. They range from Thomson’s famous experiment to determine e/m and Euler’s model for the buckling of a strut to an analysis of the propagation of emissions and the performance of wind turbines. The mathematical tools required are first explained in separate chapters and then carried along throughout the text to solve and analyze the models. Commentaries at the end of each illustration draw attention to the pitfalls to be avoided and, perhaps most important, alert the reader to unexpected results that defy conventional wisdom. These features and more make the book the perfect tool for resolving three common difficulties: the proper choice of model, the absence of precise solutions, and the need to make suitable simplifying assumptions and approximations. The book covers a wide range of physical processes and phenomena drawn from various disciplines and clearly illuminates the link between the physical system being modeled and the mathematical expression that results.

Maximum-entropy Models in Science and Engineering

Maximum-entropy Models in Science and Engineering
Author : Jagat Narain Kapur
Publisher : John Wiley & Sons
Release Date : 1989-01-01
Category : Engineering
Total pages :635
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This Is The First Comprehensive Book About Maximum Entropy Principle And Its Applications To A Diversity Of Fields Like Statistical Mechanics, Thermo-Dynamics, Business, Economics, Insurance, Finance, Contingency Tables, Characterisation Of Probability Distributions (Univariate As Well As Multivariate, Discrete As Well As Continuous), Statistical Inference, Non-Linear Spectral Analysis Of Time Series, Pattern Recognition, Marketing And Elections, Operations Research And Reliability Theory, Image Processing, Computerised Tomography, Biology And Medicine. There Are Over 600 Specially Constructed Exercises And Extensive Historical And Bibliographical Notes At The End Of Each Chapter.The Book Should Be Of Interest To All Applied Mathematicians, Physicists, Statisticians, Economists, Engineers Of All Types, Business Scientists, Life Scientists, Medical Scientists, Radiologists And Operations Researchers Who Are Interested In Applying The Powerful Methodology Based On Maximum Entropy Principle In Their Respective Fields.

Mathematical Modeling in Science and Engineering

Mathematical Modeling in Science and Engineering
Author : Ismael Herrera,George F. Pinder
Publisher : John Wiley & Sons
Release Date : 2012-03-13
Category : Mathematics
Total pages :243
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"Mathematical and computational modeling (MCM) can be used in a diverse set of applications making it a very appealing and potent modeling tool. This book uses a novel and powerful procedural approach to teaching MCM, the Axiomatic Approach, which permits incorporating in a single model, systems that occur in many different branches of science and engineering.This book focuses on the mathematical models, in which processes to be modeled are expressed as a system of partial differential equations. It introduces a systematic method for constructing such models, which can be applied to any macroscopic physical system. This latter feature of the Axiomatic Approach is very valuable when treating new systems, since it permits formulating the models of previously unknown systems. Using it, many of the systems of most common occurrence in engineering practice are introduced and discussed. The effectiveness of this approach is reflected in the broadness and importance of the subjects treated; they cover a great diversity of topics that are basic in many branches of engineering including: Civil Engineering, Mechanical Engineering, Petroleum Engineering, and Water Resources.These topics include: Flow of fluids and transport of solutes which are free to move in the physical space and where fluids may be restricted to move in a porous medium. The transport of solutes is fundamental in Environmental Engineering Water Resources and Petroleum Engineering since it is the means of predicting contaminant behavior. The porous medium based equations are also used to model Enhanced Oil Recovery which is very important for sustaining the oil supply of the world. Model of static and dynamic elasticity are used in several branches of engineering including Foundation and Seismic Engineering"--

Similarity Methods in Engineering Dynamics

Similarity Methods in Engineering Dynamics
Author : P.S. Westine,F.T. Dodge,W.E. Baker
Publisher : Elsevier
Release Date : 2012-12-02
Category : Technology & Engineering
Total pages :397
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Here is the second revised and updated edition of probably the most practical sourcebook on similarity methods and modeling techniques available. Written by leading authorities who incorporate many of the latest advances in the field, this new work maps out techniques for modeling as well as instrumentation and data analysis for an extremely wide array of problems in engineering dynamics. This practical reference uses experimental test data on various engineering problems demonstrating exactly how and why these similarity methods work. The problems involve spread of oil slicks, explosive cratering, car crashes, space vehicle heat exchange, explosive forming, and more. The spectrum of topics covered and number of examples are far greater than in other texts. Of particular importance are the dissimilar material modeling techniques which bring new versatility and freedom to the modeler in structural dynamics. The book also contains a clear, in-depth discussion of the theory underlying modeling and includes alternate methods for developing model laws. The work will undoubtedly prove invaluable to every professional involved in testing or design of dynamic experiments.

The Art of Modeling in Science and Engineering with Mathematica

The Art of Modeling in Science and Engineering with Mathematica
Author : Diran Basmadjian
Publisher : CRC Press
Release Date : 2019-07-17
Category : Mathematics
Total pages :688
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Modeling is practiced in engineering and all physical sciences. Many specialized texts exist - written at a high level - that cover this subject. However, students and even professionals often experience difficulties in setting up and solving even the simplest of models. This can be attributed to three difficulties: the proper choice of model, the absence of precise solutions, and the necessity to make suitable simplifying assumptions and approximations. Overcoming these difficulties is the focus of The Art of Modeling in Science and Engineering. The text is designed for advanced undergraduate and graduate students and practicing professionals in the sciences and engineering with an interest in Modeling based on Mass, Energy and Momentum or Force Balances. The book covers a wide range of physical processes and phenomena drawn from chemical, mechanical, civil, environmental sciences and bio- sciences. A separate section is devoted to "real World" industrial problems. The author explains how to choose the simplest model, obtain an appropriate solution to the problem and make simplifying assumptions/approximations.

Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists

Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists
Author : Bahman Zohuri
Publisher : Springer
Release Date : 2015-04-15
Category : Technology & Engineering
Total pages :372
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This ground-breaking reference provides an overview of key concepts in dimensional analysis, and then pushes well beyond traditional applications in fluid mechanics to demonstrate how powerful this tool can be in solving complex problems across many diverse fields. Of particular interest is the book’s coverage of dimensional analysis and self-similarity methods in nuclear and energy engineering. Numerous practical examples of dimensional problems are presented throughout, allowing readers to link the book’s theoretical explanations and step-by-step mathematical solutions to practical implementations.

Experimental Modelling in Engineering

Experimental Modelling in Engineering
Author : F. W. David,H. Nolle
Publisher : Elsevier
Release Date : 2013-10-22
Category : Technology & Engineering
Total pages :200
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Experimental Modelling in Engineering presents the principles of experimental modeling methodically and in such a generalized manner that they may lend themselves to application in practically all fields of technology. The book covers related topics such as modeling based on conditions of similarity; units and dimensions; the applications of homogeneity and dimensionally homogenous equations in the field; and the selection of variables in dimensional analysis. Also covered in the book are topics such as the use of models in experiments; the principle of similarity; examples in experimental modeling; and problems in dimensional analysis and model design. The text is recommended for engineers who would like to know more about the principles, concepts, behind experimental modeling, as well as its applications in engineering and other related fields.

Simulation and Similarity

Simulation and Similarity
Author : Michael Weisberg
Publisher : OUP USA
Release Date : 2013-02-14
Category : Science
Total pages :224
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This book is an account of modeling and idealization in modern scientific practice, focusing on concrete, mathematical, and computational models. The main topics of this book are the nature of models, the practice of modeling, and the nature of the relationship between models and real-world phenomena. In order to elucidate the model/world relationship, Weisberg develops a novel account of similarity called weighted feature matching.

Numerical Modeling in Materials Science and Engineering

Numerical Modeling in Materials Science and Engineering
Author : Michel Rappaz,Michel Bellet,Michel Deville
Publisher : Springer Science & Business Media
Release Date : 2010-03-11
Category : Technology & Engineering
Total pages :540
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Computing application to materials science is one of the fastest-growing research areas. This book introduces the concepts and methodologies related to the modeling of the complex phenomena occurring in materials processing. It is intended for undergraduate and graduate students in materials science and engineering, mechanical engineering and physics, and for engineering professionals or researchers.

Similarity Methods in Engineering Dynamics

Similarity Methods in Engineering Dynamics
Author : P.S. Westine,F.T. Dodge,W.E. Baker
Publisher : Elsevier
Release Date : 2012-12-02
Category : Technology & Engineering
Total pages :397
GET BOOK

Here is the second revised and updated edition of probably the most practical sourcebook on similarity methods and modeling techniques available. Written by leading authorities who incorporate many of the latest advances in the field, this new work maps out techniques for modeling as well as instrumentation and data analysis for an extremely wide array of problems in engineering dynamics. This practical reference uses experimental test data on various engineering problems demonstrating exactly how and why these similarity methods work. The problems involve spread of oil slicks, explosive cratering, car crashes, space vehicle heat exchange, explosive forming, and more. The spectrum of topics covered and number of examples are far greater than in other texts. Of particular importance are the dissimilar material modeling techniques which bring new versatility and freedom to the modeler in structural dynamics. The book also contains a clear, in-depth discussion of the theory underlying modeling and includes alternate methods for developing model laws. The work will undoubtedly prove invaluable to every professional involved in testing or design of dynamic experiments.

Materials Science for Engineers

Materials Science for Engineers
Author : J.C. Anderson,Keith D. Leaver,Rees D. Rawlings,Patrick S. Leevers
Publisher : CRC Press
Release Date : 2004-06-01
Category : Technology & Engineering
Total pages :680
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This fifth edition of a successful textbook continues to provide students with an introduction to the basic principles of materials science over a broad range of topics. The authors have revised and updated this edition to include many new applications and recently developed materials. The book is presented in three parts. The first section discusses the physics, chemistry, and internal structure of materials. The second part examines the mechanical properties of materials and their application in engineering situations. The final section presents the electromagnetic properties of materials and their application. Each chapter begins with an outline of the relevance of its topics and ends with problems that require an understanding of the theory and some reasoning ability to resolve. These are followed by self-assessment questions, which test students' understanding of the principles of materials science and are designed to quickly cover the subject area of the chapter. This edition of Materials Science for Engineers includes an expanded treatment of many materials, particulary polymers, foams, composites and functional materials. Of the latter, superconductors and magnetics have received greater coverage to account for the considerable development in these fields in recent years. New sections on liquid crystals, superalloys, and organic semiconductors have also been added to provide a comprehensive overview of the field of materials science.

Smart Learning Environments

Smart Learning Environments
Author : Maiga Chang,Yanyan Li
Publisher : Springer
Release Date : 2014-09-05
Category : Education
Total pages :219
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This book addresses main issues concerned with the future learning, learning and academic analytics, virtual world and smart user interface, and mobile learning. This book gathers the newest research results of smart learning environments from the aspects of learning, pedagogies, and technologies in learning. It examines the advances in technology development and changes in the field of education that has been affecting and reshaping the learning environment. Then, it proposes that under the changed technological situations, smart learning systems, no matter what platforms (i.e., personal computers, smart phones, and tablets) they are running at, should be aware of the preferences and needs that their users (i.e., the learners and teachers) have, be capable of providing their users with the most appropriate services, helps to enhance the users' learning experiences, and to make the learning efficient.

Algorithmic Aspects of Analysis, Prediction, and Control in Science and Engineering

Algorithmic Aspects of Analysis, Prediction, and Control in Science and Engineering
Author : Jaime Nava,Vladik Kreinovich
Publisher : Springer
Release Date : 2014-10-18
Category : Computers
Total pages :155
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This book demonstrates how to describe and analyze a system's behavior and extract the desired prediction and control algorithms from this analysis. A typical prediction is based on observing similar situations in the past, knowing the outcomes of these past situations, and expecting that the future outcome of the current situation will be similar to these past observed outcomes. In mathematical terms, similarity corresponds to symmetry, and similarity of outcomes to invariance. This book shows how symmetries can be used in all classes of algorithmic problems of sciences and engineering: from analysis to prediction to control. Applications cover chemistry, geosciences, intelligent control, neural networks, quantum physics, and thermal physics. Specifically, it is shown how the approach based on symmetry and similarity can be used in the analysis of real-life systems, in the algorithms of prediction, and in the algorithms of control.