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 : 9781849963176

Dimensional Analysis Excerpt :

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.

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

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 First Course in Dimensional Analysis Book

A First Course in Dimensional Analysis

  • Author : Juan G. Santiago
  • Publisher : MIT Press
  • Release Date : 2019-10-22
  • Genre: Technology & Engineering
  • Pages : 184
  • ISBN 10 : 9780262537711

A First Course in Dimensional Analysis Excerpt :

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.

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

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

Dimensional Analysis

  • Author : Hans G. Hornung
  • Publisher : Courier Corporation
  • Release Date : 2013-01-18
  • Genre: Science
  • Pages : 80
  • ISBN 10 : 9780486150475

Dimensional Analysis Excerpt :

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.

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

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.

Dimensional Analysis And Intelligent Experimentation Book

Dimensional Analysis And Intelligent Experimentation

  • Author : Palmer Andrew Clennel
  • Publisher : World Scientific Publishing Company
  • Release Date : 2008-06-17
  • Genre: Technology & Engineering
  • Pages : 164
  • ISBN 10 : 9789813101531

Dimensional Analysis And Intelligent Experimentation Excerpt :

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.

Computer Program for Dimensional Analysis Book

Computer Program for Dimensional Analysis

  • Author : A. D. Sloan
  • Publisher : Unknown
  • Release Date : 1969
  • Genre: Computers
  • Pages : 29
  • ISBN 10 : UIUC:30112106875922

Computer Program for Dimensional Analysis Excerpt :

Computer program for dimensional analysis using FORTRAN 4 programming.

Dimensional Analysis and Similarity in Fluid Mechanics Book

Dimensional Analysis and Similarity in Fluid Mechanics

  • Author : Nord-Eddine Sad Chemloul
  • Publisher : John Wiley & Sons
  • Release Date : 2020-11-02
  • Genre: Science
  • Pages : 240
  • ISBN 10 : 9781119788034

Dimensional Analysis and Similarity in Fluid Mechanics Excerpt :

Dimensional analysis is the basis for the determination of laws that allow the experimental results obtained on a model to be transposed to the fluid system at full scale (a prototype). The similarity in fluid mechanics then allows for better redefinition of the analysis by removing dimensionless elements. This book deals with these two tools, with a focus on the Rayleigh method and the Vaschy-Buckingham method. It deals with the homogeneity of the equations and the conversion between the systems of units SI and CGS, and presents the dimensional analysis approach, before addressing the similarity of flows. Dimensional Analysis and Similarity in Fluid Mechanics proposes a scale model and presents numerous exercises combining these two methods. It is accessible to students from their first year of a bachelors degree.

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

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

Finite and Infinite Dimensional Analysis in Honor of Leonard Gross Book

Finite and Infinite Dimensional Analysis in Honor of Leonard Gross

  • Author : Analysis on Infinit Ams Special Session
  • Publisher : American Mathematical Soc.
  • Release Date : 2003
  • Genre: Mathematics
  • Pages : 224
  • ISBN 10 : 9780821832028

Finite and Infinite Dimensional Analysis in Honor of Leonard Gross Excerpt :

This book contains the proceedings of the special session in honor of Leonard Gross held at the annual Joint Mathematics Meetings in New Orleans (LA). The speakers were specialists in a variety of fields, and many were Professor Gross' former Ph.D. students and their descendants. Papers in this volume present results from several areas of mathematics. They illustrate applications of powerful ideas that originated in Gross' work and permeate diverse fields. Topics of this title include stochastic partial differential equations, white noise analysis, Brownian motion, Segal-Bargmann analysis, heat kernels, and some applications. The volume should be useful to graduate students and researchers. It provides perspective on current activity and on central ideas and techniques in the topics covered.

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

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.

Infinite Dimensional Analysis Book

Infinite Dimensional Analysis

  • Author : Charalambos D. Aliprantis
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-11-11
  • Genre: Business & Economics
  • Pages : 604
  • ISBN 10 : 9783662030042

Infinite Dimensional Analysis Excerpt :

This text was born out of an advanced mathematical economics seminar at Caltech in 1989-90. We realized that the typical graduate student in mathematical economics has to be familiar with a vast amount of material that spans several traditional fields in mathematics. Much of the mate rial appears only in esoteric research monographs that are designed for specialists, not for the sort of generalist that our students need be. We hope that in a small way this text will make the material here accessible to a much broader audience. While our motivation is to present and orga nize the analytical foundations underlying modern economics and finance, this is a book of mathematics, not of economics. We mention applications to economics but present very few of them. They are there to convince economists that the material has so me relevance and to let mathematicians know that there are areas of application for these results. We feel that this text could be used for a course in analysis that would benefit math ematicians, engineers, and scientists. Most of the material we present is available elsewhere, but is scattered throughout a variety of sources and occasionally buried in obscurity. Some of our results are original (or more likely, independent rediscoveries). We have included some material that we cannot honestly say is neces sary to understand modern economic theory, but may yet prove useful in future research.