Applied Dimensional Analysis and Modeling Book

Applied Dimensional Analysis and Modeling


  • Author : Thomas Szirtes
  • Publisher : Butterworth-Heinemann
  • Release Date : 2007-04-27
  • Genre: Technology & Engineering
  • Pages : 856
  • ISBN 10 : 9780080555454

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Applied Dimensional Analysis and Modeling Excerpt :

Applied Dimensional Analysis and Modeling provides the full mathematical background and step-by-step procedures for employing dimensional analyses, along with a wide range of applications to problems in engineering and applied science, such as fluid dynamics, heat flow, electromagnetics, astronomy and economics. This new edition offers additional worked-out examples in mechanics, physics, geometry, hydrodynamics, and biometry. Covers 4 essential aspects and applications: principal characteristics of dimensional systems, applications of dimensional techniques in engineering, mathematics and geometry, applications in biosciences, biometry and economics, applications in astronomy and physics Offers more than 250 worked-out examples and problems with solutions Provides detailed descriptions of techniques of both dimensional analysis and dimensional modeling

A Student s Guide to Dimensional Analysis Book

A Student s Guide to Dimensional Analysis


  • Author : Don S. Lemons
  • Publisher : Cambridge University Press
  • Release Date : 2017-03-31
  • Genre: Science
  • Pages : 121
  • ISBN 10 : 9781107161153

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A Student s Guide to Dimensional Analysis Excerpt :

This introduction to dimensional analysis covers the methods, history and formalisation of the field, and provides physics and engineering applications. Covering topics from mechanics, hydro- and electrodynamics to thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis. Introducing basic physics and fluid engineering topics through the mathematical methods of dimensional analysis, this book is perfect for students in physics, engineering and mathematics. Explaining potentially unfamiliar concepts such as viscosity and diffusivity, the text includes worked examples and end-of-chapter problems with answers provided in an accompanying appendix, which help make it ideal for self-study. Long-standing methodological problems arising in popular presentations of dimensional analysis are also identified and solved, making the book a useful text for advanced students and professionals.

Dimensional Analysis Book
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Dimensional Analysis


  • Author : Qing-Ming Tan
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-06-06
  • Genre: Technology & Engineering
  • Pages : 186
  • ISBN 10 : 9783642192340

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Dimensional Analysis Excerpt :

Dimensional analysis is an essential scientific method and a powerful tool for solving problems in physics and engineering. This book starts by introducing the Pi Theorem, which is the theoretical foundation of dimensional analysis. It also provides ample and detailed examples of how dimensional analysis is applied to solving problems in various branches of mechanics. The book covers the extensive findings on explosion mechanics and impact dynamics contributed by the author’s research group over the past forty years at the Chinese Academy of Sciences. The book is intended for research scientists and engineers working in the fields of physics and engineering, as well as graduate students and advanced undergraduates of the related fields. Qing-Ming Tan is a former Professor at the Institute of Mechanics, the Chinese Academy of Sciences, China.

Fundamentals of Dimensional Analysis Book

Fundamentals of Dimensional Analysis


  • Author : Alberto N. Conejo
  • Publisher : Springer Nature
  • Release Date : 2021-05-31
  • Genre: Technology & Engineering
  • Pages : 379
  • ISBN 10 : 9789811616020

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Fundamentals of Dimensional Analysis Excerpt :

This is the first book which systematically describes an integral approach on dimensional analysis. The amount of textbooks on dimensional analysis is huge, however most of the books start with the definition of the relevant variables. When the variables are given to the reader without prior knowledge on each problem it has serious consequences: the usefulness of dimensional analysis is not appreciated, is not possible to understand the real challenges of this subject and the result, which is a general relationship with dimensionless groups is useless. This book closes the hole in previous books because in addition to describe step by step how to reach the general relationship with dimensionless groups, which creates solid basis of different metallurgical problems to understand the role of the relevant variables. It provides a full description on how to obtain the experimental data and applies the experimental data to transform the general relationship in a particular solution. Once the reader learns how to design the experimental work and uses that information to define the particular solution, it is possible to asses if the selection of variables was adequate or not. The book is useful for both undergraduate and graduate students.

Principles and Applications of Dimensional Analysis and Similarity Book

Principles and Applications of Dimensional Analysis and Similarity


  • Author : Sandro G. Longo
  • Publisher : Springer Nature
  • Release Date : 2021
  • Genre: Dimensional analysis
  • Pages : 447
  • ISBN 10 : 9783030792176

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Principles and Applications of Dimensional Analysis and Similarity Excerpt :

The book provides a summary of the historical evolution of dimensional analysis, and frames the problem of dimensions, systems of units and similarity in a vision dominated by the conventions that formalise even the exact sciences. The first four chapters address the definitions, with few dimensional analysis theorems and similarity criteria. There is also the analysis of self-similarity, both of first and second kind, with a couple of completely solved problems, framed within the group theory. From chapter 5 onward, the focus is on applications in some of the engineering sectors. The number of topics is necessarily limited, but, almost always, there are details, calculations and treatment of assumptions. The book contains descriptions of some of the experimental apparatuses currently used for the realisation of physical models, such as the wind tunnel, the shaking table, the centrifuge, and with the exclusion of many others, which can be found in specialist monographies. Measurement techniques and instrumentation and statistical data processing is also available in other books. Some more specific notions, required by the context, are reported in the appendix, where appears also the description of numerous dimensionless groups, all of engineering interest, but with the exclusion of many others related to physical processes of electrical nature or physics of particles. A glossary lists the meaning of some specific terms typical of dimensional analysis and used in the book.

Dimensional Analysis Book

Dimensional Analysis


  • Author : Jonathan Worstell
  • Publisher : Butterworth-Heinemann
  • Release Date : 2014-03-05
  • Genre: Technology & Engineering
  • Pages : 160
  • ISBN 10 : 9780128012550

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Dimensional Analysis Excerpt :

Practical Guides in Chemical Engineering are a cluster of short texts that each provides a focused introductory view on a single subject. The full library spans the main topics in the chemical process industries that engineering professionals require a basic understanding of. They are ‘pocket publications’ that the professional engineer can easily carry with them or access electronically while working. Each text is highly practical and applied, and presents first principles for engineers who need to get up to speed in a new area fast. The focused facts provided in each guide will help you converse with experts in the field, attempt your own initial troubleshooting, check calculations, and solve rudimentary problems. Dimensional Analysis provides the foundation for similitude and for up and downscaling. Aeronautical, Civil, and Mechanical Engineering have used Dimensional Analysis profitably for over one hundred years. Chemical Engineering has made limited use of it due to the complexity of chemical processes. However, Chemical Engineering can now employ Dimensional Analysis widely due to the free-for-use matrix calculators now available on the Internet. This book shows how to apply matrices to Dimensional Analysis. Practical, short, concise information on the basics will help you get an answer or teach yourself a new topic quickly Supported by industry examples to help you solve a real world problem Single subject volumes provide key facts for professionals

Practical Applied Mathematics Book

Practical Applied Mathematics


  • Author : Sam Howison
  • Publisher : Cambridge University Press
  • Release Date : 2005-03-24
  • Genre: Mathematics
  • Pages : 326
  • ISBN 10 : 0521842743

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Practical Applied Mathematics Excerpt :

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Similarity and Modeling in Science and Engineering Book

Similarity and Modeling in Science and Engineering


  • Author : Josef Kuneš
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-04-07
  • Genre: Mathematics
  • Pages : 442
  • ISBN 10 : 9781907343773

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Similarity and Modeling in Science and Engineering Excerpt :

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.

Mathematics Applied to Deterministic Problems in the Natural Sciences Book

Mathematics Applied to Deterministic Problems in the Natural Sciences


  • Author : C. C. Lin
  • Publisher : SIAM
  • Release Date : 1988-12-01
  • Genre: Mathematics
  • Pages : 630
  • ISBN 10 : 0898712297

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Mathematics Applied to Deterministic Problems in the Natural Sciences Excerpt :

This book addresses the construction, analysis, and intepretation of mathematical models that shed light on significant problems in the physical sciences, with exercises that reinforce, test and extend the reader's understanding. It may be used as an upper level undergraduate or graduate textbook as well as a reference for researchers.

Dimensional Analysis in the Identification of Mathematical Models Book

Dimensional Analysis in the Identification of Mathematical Models


  • Author : Waclaw Kasprzak
  • Publisher : World Scientific
  • Release Date : 1990-09-12
  • Genre: Uncategoriezed
  • Pages : 204
  • ISBN 10 : 9789814506779

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Dimensional Analysis in the Identification of Mathematical Models Excerpt :

This book is the first textbook with the generalization of Dimensional Analysis, specially prepared to solve problems of identification of mathematical models based on experimental data. The generalization gives the possibility of mathematical model invariant with regard to gauge group, groups of rotation and others. The resulting formalism generates the most general and tensor homogeneous form of possible functional dependence. Contents:Drobot's Dimensional Space and a Classical Theory of MeasurementsA Dimensional Analysis and the Construction of Empirical ModelsMulti-Stage Identification and the Dimensional Complex FunctionAlgorithmic Procedures in the Construction of Empirical ModelsDimensional Space Description of the ConstructionTheorem p including the Geometry of Dimensional QuantitiesAn Identification of Invariant Functions Readership: Engineers and researchers in applied sciences and technology. Keywords:Dimensional Analysis;Dimensional Space;Theory of Measurement;Dimensional Geometry;Theorem pi;Similarity;Invariant Dimensional Models;Identification of Invariant Models;Multistage Identification of Invariant Model;Complex Dimensional Function;Invariance in Relation to SO(n) and Gl(n) Goups

Mathematical Methods for the Natural and Engineering Sciences Book

Mathematical Methods for the Natural and Engineering Sciences


  • Author : Ronald E Mickens
  • Publisher : World Scientific Publishing Company
  • Release Date : 2004-04-13
  • Genre: Mathematics
  • Pages : 540
  • ISBN 10 : 9789813106246

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Mathematical Methods for the Natural and Engineering Sciences Excerpt :

This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature.

Introduction to the Foundations of Applied Mathematics Book

Introduction to the Foundations of Applied Mathematics


  • Author : Mark H. Holmes
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-06-18
  • Genre: Mathematics
  • Pages : 468
  • ISBN 10 : 9780387877655

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Introduction to the Foundations of Applied Mathematics Excerpt :

FOAM. This acronym has been used for over ?fty years at Rensselaer to designate an upper-division course entitled, Foundations of Applied Ma- ematics. This course was started by George Handelman in 1956, when he came to Rensselaer from the Carnegie Institute of Technology. His objective was to closely integrate mathematical and physical reasoning, and in the p- cess enable students to obtain a qualitative understanding of the world we live in. FOAM was soon taken over by a young faculty member, Lee Segel. About this time a similar course, Introduction to Applied Mathematics, was introduced by Chia-Ch’iao Lin at the Massachusetts Institute of Technology. Together Lin and Segel, with help from Handelman, produced one of the landmark textbooks in applied mathematics, Mathematics Applied to - terministic Problems in the Natural Sciences. This was originally published in 1974, and republished in 1988 by the Society for Industrial and Applied Mathematics, in their Classics Series. This textbook comes from the author teaching FOAM over the last few years. In this sense, it is an updated version of the Lin and Segel textbook.

Scaling  Self similarity  and Intermediate Asymptotics Book

Scaling Self similarity and Intermediate Asymptotics


  • Author : G. I. Barenblatt
  • Publisher : Cambridge University Press
  • Release Date : 1996-12-12
  • Genre: Mathematics
  • Pages : 386
  • ISBN 10 : 0521435226

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Scaling Self similarity and Intermediate Asymptotics Excerpt :

This book deals with a non-traditional exposition of dimensional analysis, physical similarity theory and general theory of scaling phenomena.

Applied Mathematics Book

Applied Mathematics


  • Author : J. David Logan
  • Publisher : John Wiley & Sons
  • Release Date : 2013-06-18
  • Genre: Mathematics
  • Pages : 688
  • ISBN 10 : 9781118501702

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Applied Mathematics Excerpt :

Praise for the Third Edition “Future mathematicians, scientists, and engineers should find the book to be an excellent introductory text for coursework or self-study as well as worth its shelf space for reference.” —MAA Reviews Applied Mathematics, Fourth Edition is a thoroughly updated and revised edition on the applications of modeling and analyzing natural, social, and technological processes. The book covers a wide range of key topics in mathematical methods and modeling and highlights the connections between mathematics and the applied and natural sciences. The Fourth Edition covers both standard and modern topics, including scaling and dimensional analysis; regular and singular perturbation; calculus of variations; Green’s functions and integral equations; nonlinear wave propagation; and stability and bifurcation. The book provides extended coverage of mathematical biology, including biochemical kinetics, epidemiology, viral dynamics, and parasitic disease. In addition, the new edition features: Expanded coverage on orthogonality, boundary value problems, and distributions, all of which are motivated by solvability and eigenvalue problems in elementary linear algebra Additional MATLAB® applications for computer algebra system calculations Over 300 exercises and 100 illustrations that demonstrate important concepts New examples of dimensional analysis and scaling along with new tables of dimensions and units for easy reference Review material, theory, and examples of ordinary differential equations New material on applications to quantum mechanics, chemical kinetics, and modeling diseases and viruses Written at an accessible level for readers in a wide range of scientific fields, Applied Mathematics, Fourth Edition is an ideal text for introducing modern and advanced techniques of applied mathematics to upper-undergraduate and graduate-level students in mathematics, science, and engineering. The book is also a valuable reference for engineers and scien