Dimensional Analysis

Author : J.C. Gibbings
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 55,6 Mb
Release : 2011-02-11
Category : Mathematics
ISBN : 9781849963176

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Dimensional Analysis by J.C. Gibbings Pdf

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.

Author : Juan G. Santiago
Publisher : MIT Press
Page : 179 pages
File Size : 42,6 Mb
Release : 2019-10-22
Category : Technology & Engineering
ISBN : 9780262355100

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A First Course in Dimensional Analysis by Juan G. Santiago Pdf

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.

Author : Don S. Lemons
Publisher : Cambridge University Press
Page : 115 pages
File Size : 44,6 Mb
Release : 2017-03-16
Category : Science
ISBN : 9781107161153

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A Student's Guide to Dimensional Analysis by Don S. Lemons Pdf

This introduction to dimensional analysis covers the methods, history and formalisation of the field. Utilising topics including mechanics, hydro- and electrodynamics, and thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis, making it perfect for students on introductory courses in physics, engineering and mathematics.

Author : Giuseppe Da Prato
Publisher : Springer Science & Business Media
Page : 208 pages
File Size : 45,6 Mb
Release : 2006-08-25
Category : Mathematics
ISBN : 9783540290216

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An Introduction to Infinite-Dimensional Analysis by Giuseppe Da Prato Pdf

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.

Author : Thomas Szirtes
Publisher : Butterworth-Heinemann
Page : 856 pages
File Size : 47,9 Mb
Release : 2007-04-27
Category : Technology & Engineering
ISBN : 9780080555454

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Applied Dimensional Analysis and Modeling by Thomas Szirtes Pdf

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

Author : Bahman Zohuri
Publisher : Springer
Page : 372 pages
File Size : 53,9 Mb
Release : 2015-04-15
Category : Technology & Engineering
ISBN : 9783319134765

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Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists by Bahman Zohuri Pdf

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.

Author : Charalambos D. Aliprantis,Kim C. Border
Publisher : Springer Science & Business Media
Page : 623 pages
File Size : 41,6 Mb
Release : 2013-11-11
Category : Business & Economics
ISBN : 9783662030042

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Infinite Dimensional Analysis by Charalambos D. Aliprantis,Kim C. Border Pdf

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.

Author : Hans G. Hornung
Publisher : Courier Corporation
Page : 80 pages
File Size : 49,7 Mb
Release : 2013-01-18
Category : Science
ISBN : 9780486150475

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Dimensional Analysis by Hans G. Hornung Pdf

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.

Author : Jonathan Worstell
Publisher : Butterworth-Heinemann
Page : 160 pages
File Size : 53,6 Mb
Release : 2014-03-05
Category : Technology & Engineering
ISBN : 9780128012550

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Dimensional Analysis by Jonathan Worstell Pdf

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

Author : Tracy Horntvedt
Publisher : F.A. Davis
Page : 687 pages
File Size : 42,6 Mb
Release : 2023-02-01
Category : Medical
ISBN : 9781719649704

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Dimensional Analysis by Tracy Horntvedt Pdf

Make dosage calculations easier to master with dimensional analysis. 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 to ensure that drugs are administered safely and documented correctly. Dimensional analysis, which can be used on virtually every dosage calculation problem, eliminates the need to use other methods or perform lengthy, multi-step calculations. It’s a method of problem-solving that organizes data in a manner that is easy to understand and apply.

Author : I. M. Glazman
Publisher : Courier Corporation
Page : 548 pages
File Size : 51,6 Mb
Release : 2006-01-01
Category : Mathematics
ISBN : 9780486453323

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Finite-dimensional Linear Analysis by I. M. Glazman Pdf

A sequence of 2,400 propositions and problems features only hints. Suitable for advanced undergraduates and graduate students, this unique approach encourages students to work out their own proofs. 1974 edition.

Author : Charalambos D. Aliprantis,Kim C. Border
Publisher : Springer Science & Business Media
Page : 692 pages
File Size : 40,6 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662039618

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Infinite Dimensional Analysis by Charalambos D. Aliprantis,Kim C. Border Pdf

This book presents functional analytic methods in a unified manner with applications to economics, social sciences, and engineering. Ideal for those without an extensive background in the area, it develops topology, convexity, Banach lattices, integration, correspondences, and the analytic approach to Markov processes. Many of the results were previously available only in esoteric monographs and will interest researchers and students who will find the material readily applicable to problems in control theory and economics.

Author : Palmer Andrew Clennel
Publisher : World Scientific Publishing Company
Page : 164 pages
File Size : 45,9 Mb
Release : 2008-06-17
Category : Technology & Engineering
ISBN : 9789813101531

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Dimensional Analysis And Intelligent Experimentation by Palmer Andrew Clennel Pdf

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.

Author : Nord-Eddine Sad Chemloul
Publisher : John Wiley & Sons
Page : 240 pages
File Size : 51,5 Mb
Release : 2020-11-02
Category : Science
ISBN : 9781119788034

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Dimensional Analysis and Similarity in Fluid Mechanics by Nord-Eddine Sad Chemloul Pdf

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.

Author : A. D. Sloan,W. W. Happ
Publisher : Unknown
Page : 36 pages
File Size : 44,8 Mb
Release : 1969
Category : Dimensional analysis
ISBN : UIUC:30112106875922

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Computer Program for Dimensional Analysis by A. D. Sloan,W. W. Happ Pdf