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 : 0080555454

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Applied Dimensional Analysis and Modeling Book Description :

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 Book

Applied Dimensional Analysis and Modeling


  • Author : Thomas Szirtes
  • Publisher : McGraw Hill Professional
  • Release Date : 1998
  • Genre: Technology & Engineering
  • Pages : 790
  • ISBN 10 : 0070628114

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Applied Dimensional Analysis and Modeling Book Description :

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 Theory of Models Book

Dimensional Analysis and Theory of Models


  • Author : Henry L. Langhaar
  • Publisher : Krieger Publishing Company
  • Release Date : 1980
  • Genre: Science
  • Pages : 166
  • ISBN 10 : UOM:39015029843227

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Dimensional Analysis and Theory of Models Book Description :

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 Book Description :

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

Dimensional Analysis Book

Dimensional Analysis


  • Author : J.C. Gibbings
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-02-11
  • Genre: Mathematics
  • Pages : 297
  • ISBN 10 : 1849963177

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Dimensional Analysis Book Description :

For experiments, dimensional analysis enables the design, checks the validity, orders the procedure and synthesises the data. Additionally it can provide relationships between variables where standard analysis is not available. This widely valuable analysis for engineers and scientists is here presented to the student, the teacher and the researcher. It is the first complete modern text that covers developments over the last three decades while closing all outstanding logical gaps. Dimensional Analysis also lists the logical stages of the analysis, so showing clearly the care to be taken in its use while revealing the very few limitations of application. As the conclusion of that logic, it gives the author's original proof of the fundamental and only theorem. Unlike past texts, Dimensional Analysis includes examples for which the answer does not already exist from standard analysis. It also corrects the many errors present in the existing literature by including accurate solutions. Dimensional Analysis is written for all branches of engineering and science as a teaching book covering both undergraduate and postgraduate courses, as a guide for the lecturer and as a reference volume for the researcher.

Dimensional Analysis and Intelligent Experimentation Book

Dimensional Analysis and Intelligent Experimentation


  • Author : Andrew Clennel Palmer
  • Publisher : World Scientific
  • Release Date : 2008
  • Genre: Technology & Engineering
  • Pages : 154
  • ISBN 10 : 9789812708182

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Dimensional Analysis and Intelligent Experimentation Book Description :

Dimensional analysis is a magical way of finding useful results with almost no effort. It makes it possible to bring together the results of experiments and computations in a concise but exact form, so that they can be used efficiently and economically to make predictions. It takes advantage of the fact that phenomena go their way independently of the units we measure them with, because the units have nothing to do with the underlying physics. This simple idea turns out to be unexpectedly powerful.Students often fail to gain from dimensional analysis, because bad teaching has led them to suppose it cannot be used to derive new results, and can only confirm results that have been secured by some other route. That notion is false. This book demonstrates what can be done with dimensional analysis through a series of examples, starting with Pythagoras' theorem and the simple pendulum, and going on to a number of practical examples, many from the author's experience in ocean engineering. In parallel, the book explains the underlying theory, starting with Vaschy's elegant treatment, whilst avoiding unnecessary complexity. It also explores the use and misuse of models, which can be useful but can also be seriously misleading.

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 Book Description :

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.

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 Book Description :

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 : 3642192343

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Dimensional Analysis Book Description :

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.

Dimensional Analysis and Self Similarity Methods for Engineers and Scientists Book

Dimensional Analysis and Self Similarity Methods for Engineers and Scientists


  • Author : Bahman Zohuri
  • Publisher : Springer
  • Release Date : 2015-04-15
  • Genre: Technology & Engineering
  • Pages : 372
  • ISBN 10 : 9783319134765

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Dimensional Analysis and Self Similarity Methods for Engineers and Scientists Book Description :

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.

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 Book Description :

This book illustrates how the reader's knowledge of applied mathematics can be used to describe the world around them.

Dimensional Analysis of Food Processes Book

Dimensional Analysis of Food Processes


  • Author : Guillaume Delaplace
  • Publisher : Elsevier
  • Release Date : 2015-09-18
  • Genre: Technology & Engineering
  • Pages : 356
  • ISBN 10 : 9780081004876

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Dimensional Analysis of Food Processes Book Description :

This book deals with the modeling of food processing using dimensional analysis. When coupled to experiments and to the theory of similarity, dimensional analysis is indeed a generic, powerful and rigorous tool making it possible to understand and model complex processes for design, scale-up and /or optimization purposes. This book presents the theoretical basis of dimensional analysis with a step by step detail of the framework for applying dimensional analysis, with chapters respectively dedicated to the extension of dimensional analysis to changing physical properties and to the use of dimensional analysis as a tool for scaling-up processes. It includes several original examples issued from the research works of the authors in the food engineering field, illustrating the conceptual approaches presented and strengthen the teaching of all. Discusses popular dimensional analysis for knowledge and scaling-up tools with detailed case studies Emphasises the processes dealing with complex materials of a multiphase nature Introduces the concept of chemical or material similarity and a framework for analysis of the functional forms of the propoerty

Scaling Book

Scaling


  • Author : G. I. Barenblatt
  • Publisher : Cambridge University Press
  • Release Date : 2003-11-13
  • Genre: Mathematics
  • Pages : 171
  • ISBN 10 : 9780521826570

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Scaling Book Description :

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.

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 Book Description :

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.