A First Course In Dimensional Analysis

Author : Juan G. Santiago
Publisher : MIT Press
Page : 179 pages
File Size : 43,6 Mb
Release : 2019-10-22
Category : Technology & Engineering
ISBN : 9780262537711

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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 : Juan G. Santiago
Publisher : MIT Press
Page : 179 pages
File Size : 54,8 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 : Donald D. Gray
Publisher : Water Resources Publication
Page : 518 pages
File Size : 53,5 Mb
Release : 2000
Category : Science
ISBN : 1887201114

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A First Course in Fluid Mechanics for Civil Engineers by Donald D. Gray Pdf

Author : Anonim
Publisher : Bookboon
Page : 145 pages
File Size : 55,5 Mb
Release : 2024-06-02
Category : Electronic
ISBN : 9788740300697

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A First Course in Fluid Mechanics for Engineers by Anonim Pdf

Author : Hans G. Hornung
Publisher : Courier Corporation
Page : 80 pages
File Size : 52,6 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 : J.C. Gibbings
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 45,8 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 : Thomas Szirtes
Publisher : Butterworth-Heinemann
Page : 856 pages
File Size : 48,9 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 : Kevin Karplus
Publisher : World Scientific
Page : 616 pages
File Size : 42,8 Mb
Release : 2023-06-06
Category : Technology & Engineering
ISBN : 9789811254437

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Applied Analog Electronics: A First Course In Electronics by Kevin Karplus Pdf

This textbook is for a first course on electronics. It assumes no prior electronics experience, but does assume that students have had calculus 1 (single-variable differential calculus) and high-school physics.A key idea of the course is that students need a lot of design experience and hands-on work, rather than a lot of theory. The course is centered around the labs, which are a mix of design labs and measurement/modeling labs.This unique volume takes students from knowing no electronics to being able to design and build amplifier and filter circuits for connecting sensors to microcontrollers within 20 weeks. Students design a digital thermometer, a blood-pressure meter, an optical pulse monitor, an EKG, an audio preamplifier, and a class-D power amplifier. They also learn how to measure and characterize components, including impedance spectroscopy of a loudspeaker and of electrochemical electrodes.Related Link(s)

Author : Volker Simon,Bernhard Weigand,Hassan Gomaa
Publisher : Springer
Page : 134 pages
File Size : 43,9 Mb
Release : 2017-02-09
Category : Technology & Engineering
ISBN : 9783319520285

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Dimensional Analysis for Engineers by Volker Simon,Bernhard Weigand,Hassan Gomaa Pdf

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.

Author : Don S. Lemons
Publisher : Cambridge University Press
Page : 115 pages
File Size : 54,6 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 : I. M. Glazman
Publisher : Courier Corporation
Page : 548 pages
File Size : 50,7 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 : Henk Tennekes,John L. Lumley
Publisher : MIT Press
Page : 316 pages
File Size : 52,8 Mb
Release : 2018-04-27
Category : Science
ISBN : 9780262536301

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A First Course in Turbulence by Henk Tennekes,John L. Lumley Pdf

This is the first book specifically designed to offer the student a smooth transitionary course between elementary fluid dynamics (which gives only last-minute attention to turbulence) and the professional literature on turbulent flow, where an advanced viewpoint is assumed. The subject of turbulence, the most forbidding in fluid dynamics, has usually proved treacherous to the beginner, caught in the whirls and eddies of its nonlinearities and statistical imponderables. This is the first book specifically designed to offer the student a smooth transitionary course between elementary fluid dynamics (which gives only last-minute attention to turbulence) and the professional literature on turbulent flow, where an advanced viewpoint is assumed. Moreover, the text has been developed for students, engineers, and scientists with different technical backgrounds and interests. Almost all flows, natural and man-made, are turbulent. Thus the subject is the concern of geophysical and environmental scientists (in dealing with atmospheric jet streams, ocean currents, and the flow of rivers, for example), of astrophysicists (in studying the photospheres of the sun and stars or mapping gaseous nebulae), and of engineers (in calculating pipe flows, jets, or wakes). Many such examples are discussed in the book. The approach taken avoids the difficulties of advanced mathematical development on the one side and the morass of experimental detail and empirical data on the other. As a result of following its midstream course, the text gives the student a physical understanding of the subject and deepens his intuitive insight into those problems that cannot now be rigorously solved. In particular, dimensional analysis is used extensively in dealing with those problems whose exact solution is mathematically elusive. Dimensional reasoning, scale arguments, and similarity rules are introduced at the beginning and are applied throughout. A discussion of Reynolds stress and the kinetic theory of gases provides the contrast needed to put mixing-length theory into proper perspective: the authors present a thorough comparison between the mixing-length models and dimensional analysis of shear flows. This is followed by an extensive treatment of vorticity dynamics, including vortex stretching and vorticity budgets. Two chapters are devoted to boundary-free shear flows and well-bounded turbulent shear flows. The examples presented include wakes, jets, shear layers, thermal plumes, atmospheric boundary layers, pipe and channel flow, and boundary layers in pressure gradients. The spatial structure of turbulent flow has been the subject of analysis in the book up to this point, at which a compact but thorough introduction to statistical methods is given. This prepares the reader to understand the stochastic and spectral structure of turbulence. The remainder of the book consists of applications of the statistical approach to the study of turbulent transport (including diffusion and mixing) and turbulent spectra.

Author : Shashi Mohan Srivastava
Publisher : Springer Science & Business Media
Page : 150 pages
File Size : 43,6 Mb
Release : 2008-02-15
Category : Mathematics
ISBN : 9780387762777

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A Course on Mathematical Logic by Shashi Mohan Srivastava Pdf

This book provides a distinctive, well-motivated introduction to mathematical logic. It starts with the definition of first order languages, proceeds through propositional logic, completeness theorems, and finally the two Incompleteness Theorems of Godel.

Author : Tony Berber Sardinha,Marcia Veirano Pinto
Publisher : Bloomsbury Publishing
Page : 304 pages
File Size : 53,8 Mb
Release : 2019-03-21
Category : Computers
ISBN : 9781350023840

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Multi-Dimensional Analysis by Tony Berber Sardinha,Marcia Veirano Pinto Pdf

Multi-Dimensional Analysis: Research Methods and Current Issues provides a comprehensive guide both to the statistical methods in Multi-Dimensional Analysis (MDA) and its key elements, such as corpus building, tagging, and tools. The major goal is to explain the steps involved in the method so that readers may better understand this complex research framework and conduct MD research on their own. Multi-Dimensional Analysis is a method that allows the researcher to describe different registers (textual varieties defined by their social use) such as academic settings, regional discourse, social media, movies, and pop songs. Through multivariate statistical techniques, MDA identifies complementary correlation groupings of dozens of variables, including variables which belong both to the grammatical and semantic domains. Such groupings are then associated with situational variables of texts like information density, orality, and narrativity to determine linguistic constructs known as dimensions of variation, which provide a scale for the comparison of a large number of texts and registers. This book is a comprehensive research guide to MDA.

Author : Sandro G. Longo
Publisher : Springer Nature
Page : 447 pages
File Size : 41,9 Mb
Release : 2022-02-04
Category : Mathematics
ISBN : 9783030792176

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Principles and Applications of Dimensional Analysis and Similarity by Sandro G. Longo Pdf

The book provides a summary of the historical evolution of dimensional analysis, and frames the problem of dimensions, systems of units and similarity in a vision dominated by the conventions that formalise even the exact sciences. The first four chapters address the definitions, with few dimensional analysis theorems and similarity criteria. There is also the analysis of self-similarity, both of first and second kind, with a couple of completely solved problems, framed within the group theory. From chapter 5 onward, the focus is on applications in some of the engineering sectors. The number of topics is necessarily limited, but, almost always, there are details, calculations and treatment of assumptions. The book contains descriptions of some of the experimental apparatuses currently used for the realisation of physical models, such as the wind tunnel, the shaking table, the centrifuge, and with the exclusion of many others, which can be found in specialist monographies. Measurement techniques and instrumentation and statistical data processing is also available in other books. Some more specific notions, required by the context, are reported in the appendix, where appears also the description of numerous dimensionless groups, all of engineering interest, but with the exclusion of many others related to physical processes of electrical nature or physics of particles. A glossary lists the meaning of some specific terms typical of dimensional analysis and used in the book.