March 6, 2021

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Applied Dimensional Analysis and Modeling

Applied Dimensional Analysis and Modeling
Author : Thomas Szirtes
Publisher : Butterworth-Heinemann
Release Date : 2007-04-27
Category : Technology & Engineering
Total pages :856
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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

Applied Dimensional Analysis and Modeling

Applied Dimensional Analysis and Modeling
Author : Thomas Szirtes,P. Rózsa
Publisher : McGraw Hill Professional
Release Date : 1998
Category : Technology & Engineering
Total pages :790
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Learn to apply the "dimensional method" to facilitate the design and testing of engineering and physical systemsÑand greatly accelerate the development of products. This is the first book to offer a practical approach to modeling and dimensional analysis, emphasizing the interests and problems of the engineer and applied scientist. Packed with illustrations, graphs, numeric tables, and concrete case studies, this in-depth reference work explains both dimensional analysis and scale modeling...concisely describes constructions of dimensional systems, including SI (metric) and Imperial (U.S.)...and provides over 250 worked-out examples drawn from engineering, applied physics, biomechanics, astronomy, geometry, and economics .

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.

Application of Dimensional Analysis in Systems Modeling and Control Design

Application of Dimensional Analysis in Systems Modeling and Control Design
Author : Pedro Balaguer
Publisher : IET
Release Date : 2013
Category : Technology & Engineering
Total pages :156
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Dimensional analysis is an engineering tool that is widely applied to numerous engineering problems, but has only recently been applied to control theory and problems such as identification and model reduction, robust control, adaptive control, and PID control. Application of Dimensional Analysis in Systems Modeling and Control Design provides an introduction to the fundamentals of dimensional analysis for control engineers, and shows how they can exploit the benefits of the technique to theoretical and practical control problems.

Application of Dimensional Analysis in Economics

Application of Dimensional Analysis in Economics
Author : W.M. Grudzewski
Publisher : IOS Press
Release Date : 2013-08-20
Category : Business & Economics
Total pages :148
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The modeling of economic phenomena and processes, in terms of their static and dynamic features and with regard to the characteristics of their course, is a major methodological trend in studies of the nature, properties and functioning of contemporary management systems. Models describing management systems must be of a multi-aspect nature, entailing aspects such as technical, economic and sociological factors on the one hand, and forecasting, planning, leading, controlling etc., on the other. Developing a method for incorporating such diverse data into a system of analysis is, needless to say, a complex process. Dimensional analysis is a tool which might be useful in this process, but one which, up to now, has been little explored in the economic sciences. This book explores the application of dimensional analysis in the field of economics. It has been structured in a way which corresponds to the formulation of economic quantities, and is divided into five sections: measuring of economic quantities, modeling of economic processes, principles of dimensional analysis, building of quantified dimensional models, and experiment and practical verification.

Dimensional Analysis

Dimensional Analysis
Author : Qing-Ming Tan
Publisher : Springer Science & Business Media
Release Date : 2011-06-06
Category : Technology & Engineering
Total pages :186
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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.

Mathematics Applied to Deterministic Problems in the Natural Sciences

Mathematics Applied to Deterministic Problems in the Natural Sciences
Author : C. C. Lin,L. A. Segel
Publisher : SIAM
Release Date : 1988
Category : Mathematics
Total pages :609
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Addresses the construction, analysis, and intepretation of mathematical models that shed light on significant problems in the physical sciences. The authors' case studies approach leads to excitement in teaching realistic problems. The many problems and exercises reinforce, test and extend the reader's understanding. This reprint volume may be used as an upper level undergraduate or graduate textbook as well as a reference for researchers working on fluid mechanics, elasticity, perturbation methods, dimensional analysis, numerical analysis, continuum mechanics and differential equations.

Dimensional Analysis and Theory of Models

Dimensional Analysis and Theory of Models
Author : Henry Louis Langhaar
Publisher : Unknown
Release Date : 1960
Category : Dimensional analysis
Total pages :166
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Annual Department of Defense Bibliography of Logistics Studies and Related Documents

Annual Department of Defense Bibliography of Logistics Studies and Related Documents
Author : United States. Defense Logistics Studies Information Exchange
Publisher : Unknown
Release Date : 1978
Category : Military research
Total pages :129
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A Student's Guide to Dimensional Analysis

A Student's Guide to Dimensional Analysis
Author : Don S. Lemons
Publisher : Cambridge University Press
Release Date : 2017-03-31
Category : Science
Total pages :121
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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.

Applied Groundwater Modeling

Applied Groundwater Modeling
Author : Mary P. Anderson,William W. Woessner,Randall J. Hunt
Publisher : Academic Press
Release Date : 2015-08-13
Category : Technology & Engineering
Total pages :630
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This second edition is extensively revised throughout with expanded discussion of modeling fundamentals and coverage of advances in model calibration and uncertainty analysis that are revolutionizing the science of groundwater modeling. The text is intended for undergraduate and graduate level courses in applied groundwater modeling and as a comprehensive reference for environmental consultants and scientists/engineers in industry and governmental agencies. Explains how to formulate a conceptual model of a groundwater system and translate it into a numerical model Demonstrates how modeling concepts, including boundary conditions, are implemented in two groundwater flow codes-- MODFLOW (for finite differences) and FEFLOW (for finite elements) Discusses particle tracking methods and codes for flowpath analysis and advective transport of contaminants Summarizes parameter estimation and uncertainty analysis approaches using the code PEST to illustrate how concepts are implemented Discusses modeling ethics and preparation of the modeling report Includes Boxes that amplify and supplement topics covered in the text Each chapter presents lists of common modeling errors and problem sets that illustrate concepts

Scaling

Scaling
Author : G. I. Barenblatt
Publisher : Cambridge University Press
Release Date : 2003-11-13
Category : Mathematics
Total pages :171
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The author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity, which are here given a modern treatment. He demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural consequences of self-similarity and shows how and when these notions and tools can be used to tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used for self-study by biologists, chemists, astronomers, engineers and geoscientists.

Practical Applied Mathematics

Practical Applied Mathematics
Author : Sam Howison
Publisher : Cambridge University Press
Release Date : 2005-03-24
Category : Mathematics
Total pages :326
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This book illustrates how the reader's knowledge of applied mathematics can be used to describe the world around them.

Analytical Modeling in Applied Electromagnetics

Analytical Modeling in Applied Electromagnetics
Author : Sergei Tretyakov
Publisher : Artech House
Release Date : 2003
Category : Science
Total pages :272
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Analytical Modeling in Applied Electromagnets encompasses the most complete treatment on the subject published to date, focusing on the nature of models in radio engineering. This leading-edge resource brings you detailed coverage of the latest topics, including metamaterials, photonic bandgaps and artificial impedance surfaces, and applies these concepts to a wide range of applications. The book provides you with working examples that are mainly directed to antenna applications, but the modeling methods and results can be used for other practical devices as well.

Dimensional Analysis

Dimensional Analysis
Author : Qing-Ming Tan
Publisher : Springer Science & Business Media
Release Date : 2011-06-06
Category : Technology & Engineering
Total pages :186
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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.