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## Dimensional Analysis

• Author : J.C. Gibbings
• Publisher :Unknown
• Release Date :2011-02-11
• Total pages :297
• ISBN : 1849963177

Summary : 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.

## A First Course in Dimensional Analysis

• Author : Juan G. Santiago
• Publisher :Unknown
• Release Date :2019-10-22
• Total pages :184
• ISBN : 9780262537711

Summary : An introduction to dimensional analysis, a method of scientific analysis used to investigate and simplify complex physical phenomena, demonstrated through a series of engaging examples. This book offers an introduction to dimensional analysis, a powerful method of scientific analysis used to investigate and simplify complex physical phenomena. The method enables bold approximations and the generation of testable hypotheses. The book explains these analyses through a series of entertaining applications; students will learn to analyze, for example, the limits of world-record weight lifters, the distance an electric submarine can travel, how an upside-down pendulum is similar to a running velociraptor, and the number of Olympic rowers required to double boat speed. The book introduces the approach through easy-to-follow, step-by-step methods that show how to identify the essential variables describing a complex problem; explore the dimensions of the problem and recast it to reduce complexity; leverage physical insights and experimental observations to further reduce complexity; form testable scientific hypotheses; combine experiments and analysis to solve a problem; and collapse and present experimental measurements in a compact form. Each chapter ends with a summary and problems for students to solve. Taken together, the analyses and examples demonstrate the value of dimensional analysis and provide guidance on how to combine and enhance dimensional analysis with physical insights. The book can be used by undergraduate students in physics, engineering, chemistry, biology, sports science, and astronomy.

## Applied Dimensional Analysis and Modeling

• Author : Thomas Szirtes
• Publisher :Unknown
• Release Date :2007-04-27
• Total pages :856
• ISBN : 0080555454

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

## Dimensional Analysis

• Author : G. I. Barenblatt
• Publisher :Unknown
• Release Date :1987
• Total pages :135
• ISBN : 288124226X

Summary :

## Dimensional Analysis

• Author : Qing-Ming Tan
• Publisher :Unknown
• Release Date :2011-06-06
• Total pages :186
• ISBN : 3642192343

Summary : 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

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

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

## Computer Program for Dimensional Analysis

• Author : A. D. Sloan,W. W. Happ
• Publisher :Unknown
• Release Date :1969
• Total pages :29
• ISBN : UIUC:30112106875922

Summary : Computer program for dimensional analysis using FORTRAN 4 programming.

## Dimensional Analysis

• Author : Hans G. Hornung
• Publisher :Unknown
• Release Date :2013-01-18
• Total pages :80
• ISBN : 9780486150475

Summary : Derived from a course in fluid mechanics, this text for advanced undergraduates and graduate students employs symmetry arguments to illustrate the principles of dimensional analysis. 2006 edition.

## Infinite Dimensional Analysis

• Author : Charalambos D. Aliprantis,Kim C. Border
• Publisher :Unknown
• Release Date :2007-05-02
• Total pages :704
• ISBN : 3540326960

Summary : Aimed at students and researchers, this is the very first book to present functional analysis in a unified manner, along with applications to economics, social sciences, and engineering. It is a rigorous study of modern functional analysis.

## Dimensional Analysis for Economists

• Author : Frits J. de Jong,Frits de Jong,Wilhelm Quade
• Publisher :Unknown
• Release Date :1967
• Total pages :223
• ISBN : WISC:89048112056

Summary : Elementary dimensional analysis; Advanced dimensional analysis; The algebraic structure of dimensional analysis.

## Dimensional Analysis

• Author : Tracy Horntvedt
• Publisher :Unknown
• Release Date :2019-02-11
• Total pages :480
• ISBN : 9780803689794

Summary : Dosage calculations can be intimidating, but they don’t need to be. Dimensional analysis is an easy, systematic approach that shows you how to master simple to complex calculations with consistency and accuracy and reduce medication errors with simple safety mechanisms.

## Dimensional Analysis and Intelligent Experimentation

• Author : Andrew Clennel Palmer
• Publisher :Unknown
• Release Date :2008
• Total pages :154
• ISBN : 9789812708182

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.

## An Introduction to Infinite-Dimensional Analysis

• Author : Giuseppe Da Prato
• Publisher :Unknown
• Release Date :2006-08-25
• Total pages :208
• ISBN : 3540290214

Summary : Based on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. It starts from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate basic stochastic dynamical systems and Markov semi-groups, paying attention to their long-time behavior.

## Dimensional Analysis for Engineers

• Author : Volker Simon,Bernhard Weigand,Hassan Gomaa
• Publisher :Unknown
• Release Date :2017-02-09
• Total pages :134
• ISBN : 9783319520285

Summary : This monograph provides the fundamentals of dimensional analysis and illustrates the method by numerous examples for a wide spectrum of applications in engineering. The book covers thoroughly the fundamental definitions and the Buckingham theorem, as well as the choice of the system of basic units. The authors also include a presentation of model theory and similarity solutions. The target audience primarily comprises researchers and practitioners but the book may also be suitable as a textbook at university level.

## Multi-Dimensional Analysis, 25 years on

• Author : Tony Berber Sardinha,Marcia Veirano Pinto
• Publisher :Unknown
• Release Date :2014-07-15
• Total pages :328
• ISBN : 9789027270153

Summary : Approximately a quarter of a century ago, the Multi-Dimensional (MD) approach—one of the most powerful (and controversial) methods in Corpus Linguistics—saw its first book-length treatment. In its eleven chapters, this volume presents all new contributions covering a wide range of written and spoken registers, such as movies, music, magazine texts, student writing, social media, letters to the editor, and reports, in different languages (English, Spanish, Portuguese) and contexts (engineering, journalism, the classroom, the entertainment industry, the Internet, etc.). The book also includes a personal account of the development of the method by its creator, Doug Biber, an introduction to MD statistics, as well as an application of MD analysis to corpus design. The book should be essential reading to anyone with an interest in how texts, genres, and registers are used in society, what their lexis and grammar look like, and how they are interrelated.

## Dimensional Analysis and Scale Factors

• Author : R. C. Pankhurst
• Publisher :Unknown
• Release Date :1964
• Total pages :151
• ISBN : UOM:39015014361813

Summary :

## Application of Dimensional Analysis in Economics

• Author : W.M. Grudzewski
• Publisher :Unknown
• Release Date :2013-08-20
• Total pages :148
• ISBN : 9781614992806

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.

## Units, Dimensional Analysis and Physical Similarity

• Author : Bernard Stanford Massey
• Publisher :Unknown
• Release Date :1971
• Total pages :140
• ISBN : PSU:000029347469

Summary :

## Dimensional Analysis for Meds

• Author : Anna M. Curren
• Publisher :Unknown
• Release Date :2019-01-30
• Total pages :296
• ISBN : 9781284172911

Summary : Dimensional Analysis for Meds: Refocusing on Essential Metric Calculations, Fifth Edition is a leading dosage calculation text for nursing students.

## Dimensional Analysis in the Identification of Mathematical Models

• Author : Waclaw Kasprzak,Bertold Lysik,Marek Rybaczuk
• Publisher :Unknown
• Release Date :1990-09-12
• Total pages :204
• ISBN : 9789814506779

Summary : 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

## Dimensional Analysis and Similarity in Fluid Mechanics

• Author : Nord-Eddine Sad Chemloul
• Publisher :Unknown
• Release Date :2020-11-02
• Total pages :240
• ISBN : 9781119788034

Summary :