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Applied Dimensional Analysis and Modeling

Applied Dimensional Analysis and Modeling
  • Author : Thomas Szirtes
  • Publisher :Unknown
  • Release Date :2007-04-27
  • Total pages :856
  • ISBN : 0080555454
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Summary : 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 :Unknown
  • Release Date :1998
  • Total pages :790
  • ISBN : 0070628114
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Summary : 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 .

Applied Modelling & Dimensional Analysis

Applied Modelling & Dimensional Analysis
  • Author : Thomas Case
  • Publisher :Unknown
  • Release Date :1998
  • Total pages :229
  • ISBN : OCLC:732353982
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Summary :

Dimensional Analysis and Theory of Models

Dimensional Analysis and Theory of Models
  • Author : Henry L. Langhaar
  • Publisher :Unknown
  • Release Date :1980
  • Total pages :166
  • ISBN : UOM:39015029843227
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Summary :

Application of Dimensional Analysis in Economics

Application of Dimensional Analysis in Economics
  • Author : W.M. Grudzewski
  • Publisher :Unknown
  • Release Date :2013-08-20
  • Total pages :148
  • ISBN : 9781614992806
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Summary : 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 and Theory of Models

Dimensional Analysis and Theory of Models
  • Author : Henry Louis Langhaar
  • Publisher :Unknown
  • Release Date :1951
  • Total pages :166
  • ISBN : WISC:89048366538
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Summary :

Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists

Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists
  • Author : Bahman Zohuri
  • Publisher :Unknown
  • Release Date :2015-04-15
  • Total pages :372
  • ISBN : 9783319134765
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Summary : 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.

Theory and Application of Dimensional and Inspectional Analysis to Model Study of Fluid Displacements in Petroleum Reservoirs

Theory and Application of Dimensional and Inspectional Analysis to Model Study of Fluid Displacements in Petroleum Reservoirs
  • Author : Albert Geyer Loomis,Donald C. Crowell
  • Publisher :Unknown
  • Release Date :1964
  • Total pages :37
  • ISBN : UOM:39015078519363
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Summary :

Dimensional Analysis and Intelligent Experimentation

Dimensional Analysis and Intelligent Experimentation
  • Author : Andrew Clennel Palmer
  • Publisher :Unknown
  • Release Date :2008
  • Total pages :154
  • ISBN : 9789812708182
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Summary : 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.

Dimensional Analysis

Dimensional Analysis
  • Author : Jonathan Worstell
  • Publisher :Unknown
  • Release Date :2014-03-05
  • Total pages :160
  • ISBN : 9780128012550
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Summary : 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

Practical Applied Mathematics
  • Author : Sam Howison,Both Lecturers Centre for Industrial and Applied Mathematics Sam Howison
  • Publisher :Unknown
  • Release Date :2005-03-24
  • Total pages :326
  • ISBN : 0521842743
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Summary : Publisher Description

Fundamentals of Dimensional Analysis

Fundamentals of Dimensional Analysis
  • Author : Alberto N. Conejo
  • Publisher :Unknown
  • Release Date :2021
  • Total pages :229
  • ISBN : 9789811616020
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Summary :

A Student's Guide to Dimensional Analysis

A Student's Guide to Dimensional Analysis
  • Author : Don S. Lemons
  • Publisher :Unknown
  • Release Date :2017-03-31
  • Total pages :121
  • ISBN : 9781107161153
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Summary : 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.

Similarity and Modeling in Science and Engineering

Similarity and Modeling in Science and Engineering
  • Author : Josef Kuneš
  • Publisher :Unknown
  • Release Date :2012-04-07
  • Total pages :442
  • ISBN : 9781907343773
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Summary : 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.

Experimental Modelling in Engineering

Experimental Modelling in Engineering
  • Author : F. W. David,H. Nolle
  • Publisher :Unknown
  • Release Date :2013-10-22
  • Total pages :200
  • ISBN : 9781483102023
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Summary : 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.

Fluid Mechanics

Fluid Mechanics
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1978-11-10
  • Total pages :228
  • ISBN : 9781349039203
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Summary :

An Evaluation of Dimensional Analysis and MODELING Techniques for Air Force Civil Engineering Research

An Evaluation of Dimensional Analysis and MODELING Techniques for Air Force Civil Engineering Research
  • Author : James F. Kanipe,AIR FORCE WEAPONS LAB KIRTLAND AFB N MEX.
  • Publisher :Unknown
  • Release Date :1973
  • Total pages :78
  • ISBN : OCLC:227698422
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Summary : The application of modeling techniques to Air Force civil engineering research is investigated. The use of models is discussed in general terms, and model theory and dimensional analysis are reviewed. Examples of the use of modeling are presented, along with an extensive reference list. Dynamic modeling is difficult because usually not all dynamic model laws can be simultaneously satisfied. Nevertheless, in many cases the application of distorted model techniques can be applied to given reliable results. The conclusion is reached that many problems of the Civil Engineering Research Division of the Air Force Weapons Laboratory can be solved economically through the use of dimensional analysis and scale modeling. (Author).

Scaling

Scaling
  • Author : G. I. Barenblatt
  • Publisher :Unknown
  • Release Date :2003-11-13
  • Total pages :171
  • ISBN : 9780521826570
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Summary : 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.

Mathematical Methods for the Natural and Engineering Sciences

Mathematical Methods for the Natural and Engineering Sciences
  • Author : Ronald E Mickens
  • Publisher :Unknown
  • Release Date :2004-04-13
  • Total pages :540
  • ISBN : 9789813106246
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Summary : 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.

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 :Unknown
  • Release Date :1988-12-01
  • Total pages :630
  • ISBN : 0898712297
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Summary : 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 and Group Theory in Astrophysics

Dimensional Analysis and Group Theory in Astrophysics
  • Author : Rudolf Kurth
  • Publisher :Unknown
  • Release Date :2013-10-22
  • Total pages :250
  • ISBN : 9781483280202
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Summary : Dimensional Analysis and Group Theory in Astrophysics describes how dimensional analysis, refined by mathematical regularity hypotheses, can be applied to purely qualitative physical assumptions. The book focuses on the continuous spectral of the stars and the mass-luminosity relationship. The text discusses the technique of dimensional analysis, covering both relativistic phenomena and the stellar systems. The book also explains the fundamental conclusion of dimensional analysis, wherein the unknown functions shall be given certain specified forms. The Wien and Stefan-Boltzmann Laws can be significant in the systematic application of dimensional analysis to the physics of a single star. The text also discusses group-theoretical reduction of ordinary differential equations and the reductions of the differential equations of stellar structure. The structure of a stellar envelope requires three hypotheses: (1) thermo-nuclear reactions as source of energy of stellar; (2) thermo-nuclear reactions occur at the star's core; and (3) that an envelope surrounding the core exists where no radiation is generated. To complete the model of a star, the investigator should have further assumptions such as the pressure is made-up of gas, radiation, or both. The book can prove helpful for astronomers, astro-physicists, cosmologists, and students of general physics.