Dimensional Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1849963177
Total Pages : 302 pages
Book Rating : 4.8/5 (499 download)

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Book Synopsis Dimensional Analysis by : J.C. Gibbings

Download or read book Dimensional Analysis written by J.C. Gibbings and published by Springer Science & Business Media. This book was released on 2011-02-11 with total page 302 pages. Available in PDF, EPUB and Kindle. Book 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.

Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists

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Publisher : Springer
ISBN 13 : 3319134760
Total Pages : 379 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists by : Bahman Zohuri

Download or read book Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists written by Bahman Zohuri and published by Springer. This book was released on 2015-04-15 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Chemical Engineering Design and Analysis

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Publisher : Cambridge University Press
ISBN 13 : 1108421474
Total Pages : 595 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Chemical Engineering Design and Analysis by : T. Michael Duncan

Download or read book Chemical Engineering Design and Analysis written by T. Michael Duncan and published by Cambridge University Press. This book was released on 2019-01-24 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: The go-to guide to learn the principles and practices of design and analysis in chemical engineering.

Dimensional Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 3642192343
Total Pages : 199 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Dimensional Analysis by : Qing-Ming Tan

Download or read book Dimensional Analysis written by Qing-Ming Tan and published by Springer Science & Business Media. This book was released on 2011-06-06 with total page 199 pages. Available in PDF, EPUB and Kindle. Book 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.

Applied Dimensional Analysis and Modeling

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Publisher : Butterworth-Heinemann
ISBN 13 : 0080555454
Total Pages : 853 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Applied Dimensional Analysis and Modeling by : Thomas Szirtes

Download or read book Applied Dimensional Analysis and Modeling written by Thomas Szirtes and published by Butterworth-Heinemann. This book was released on 2007-04-27 with total page 853 pages. Available in PDF, EPUB and Kindle. Book 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

Fundamentals of Dimensional Analysis

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Publisher : Springer Nature
ISBN 13 : 9811616027
Total Pages : 384 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Fundamentals of Dimensional Analysis by : Alberto N. Conejo

Download or read book Fundamentals of Dimensional Analysis written by Alberto N. Conejo and published by Springer Nature. This book was released on 2021-05-31 with total page 384 pages. Available in PDF, EPUB and Kindle. Book 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.

A First Course in Dimensional Analysis

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Publisher : MIT Press
ISBN 13 : 0262537710
Total Pages : 179 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis A First Course in Dimensional Analysis by : Juan G. Santiago

Download or read book A First Course in Dimensional Analysis written by Juan G. Santiago and published by MIT Press. This book was released on 2019-10-22 with total page 179 pages. Available in PDF, EPUB and Kindle. Book 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.

Dimensional Analysis and Scale-up in Chemical Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 3642766730
Total Pages : 187 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Dimensional Analysis and Scale-up in Chemical Engineering by : Marko Zlokarnik

Download or read book Dimensional Analysis and Scale-up in Chemical Engineering written by Marko Zlokarnik and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary Chemical Process Engineers face complex design and research problems. Temperature-dependent physical properties and non-Newtonian flow behavior of substances in a process cannot be predicted by numerical mathematics. Scaling-up equipment for processing can often only be done with partial similarity methods. Standard textbooks often neglect topics like dimensional analysis, theory of similarity and scale-up. This book fills this gap! It is aimed both at university students and the process engineer. It presents dimensional analysis very comprehensively with illustrative examples of mechanical, thermal and chemical processes.

Dimensional Analysis

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Publisher : Butterworth-Heinemann
ISBN 13 : 0128012552
Total Pages : 160 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Dimensional Analysis by : Jonathan Worstell

Download or read book Dimensional Analysis written by Jonathan Worstell and published by Butterworth-Heinemann. This book was released on 2014-03-05 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Dimensional Analysis of Food Processes

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Publisher : Elsevier
ISBN 13 : 0081004877
Total Pages : 358 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Dimensional Analysis of Food Processes by : Guillaume Delaplace

Download or read book Dimensional Analysis of Food Processes written by Guillaume Delaplace and published by Elsevier. This book was released on 2015-09-18 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the modeling of food processing using dimensional analysis. When coupled to experiments and to the theory of similarity, dimensional analysis is indeed a generic, powerful and rigorous tool making it possible to understand and model complex processes for design, scale-up and /or optimization purposes. This book presents the theoretical basis of dimensional analysis with a step by step detail of the framework for applying dimensional analysis, with chapters respectively dedicated to the extension of dimensional analysis to changing physical properties and to the use of dimensional analysis as a tool for scaling-up processes. It includes several original examples issued from the research works of the authors in the food engineering field, illustrating the conceptual approaches presented and strengthen the teaching of all. - Discusses popular dimensional analysis for knowledge and scaling-up tools with detailed case studies - Emphasises the processes dealing with complex materials of a multiphase nature - Introduces the concept of chemical or material similarity and a framework for analysis of the functional forms of the propoerty

Dimensional Analysis and Intelligent Experimentation

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Publisher : World Scientific
ISBN 13 : 9812708189
Total Pages : 165 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Dimensional Analysis and Intelligent Experimentation by : Andrew Clennel Palmer

Download or read book Dimensional Analysis and Intelligent Experimentation written by Andrew Clennel Palmer and published by World Scientific. This book was released on 2008 with total page 165 pages. Available in PDF, EPUB and Kindle. Book 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.

Conceptual Design for Engineers

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Publisher : Springer Science & Business Media
ISBN 13 : 1447136276
Total Pages : 260 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Conceptual Design for Engineers by : Michael Joseph French

Download or read book Conceptual Design for Engineers written by Michael Joseph French and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although first published nearly thirty years ago, this book remains up-to-date, intellectually stimulating and realistic. Unlike most texts in the field, it relates design closely to the science and mathematics that are students' chief concern, and shows their relevance. It shows how to make simple but illuminating calculations, and how to achieve the insight and the invention that often result from them. Covering design principles in depth, this is, and remains, an original book: although some of the ideas which were novel in 1971 are now widely accepted, others remain new.

Theory Of Optimal Experiments

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Publisher : Elsevier
ISBN 13 : 0323162460
Total Pages : 307 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Theory Of Optimal Experiments by : V.V. Fedorov

Download or read book Theory Of Optimal Experiments written by V.V. Fedorov and published by Elsevier. This book was released on 2013-04-20 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory Of Optimal Experiments

Symmetries and Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1475743076
Total Pages : 424 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Symmetries and Differential Equations by : George W. Bluman

Download or read book Symmetries and Differential Equations written by George W. Bluman and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: A major portion of this book discusses work which has appeared since the publication of the book Similarity Methods for Differential Equations, Springer-Verlag, 1974, by the first author and J.D. Cole. The present book also includes a thorough and comprehensive treatment of Lie groups of tranformations and their various uses for solving ordinary and partial differential equations. No knowledge of group theory is assumed. Emphasis is placed on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This book should be particularly suitable for physicists, applied mathematicians, and engineers. Almost all of the examples are taken from physical and engineering problems including those concerned with heat conduction, wave propagation, and fluid flows. A preliminary version was used as lecture notes for a two-semester course taught by the first author at the University of British Columbia in 1987-88 to graduate and senior undergraduate students in applied mathematics and physics. Chapters 1 to 4 encompass basic material. More specialized topics are covered in Chapters 5 to 7.

Conceptual Design for Engineers

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Publisher : Springer Science & Business Media
ISBN 13 : 3662113643
Total Pages : 236 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Conceptual Design for Engineers by : Michael J. French

Download or read book Conceptual Design for Engineers written by Michael J. French and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3. 2 Making capital and running costs commensurate 49 3. 3 Optimum speed of a tanker 50 3. 4 The optimisation of the sag:span ratio of a suspension bridge 52 3. 5 Optimisation with more than one degree of freedom: heat exchanger 55 3. 6 Putting a price on heat-exchanger performance 57 3. 7 Variation of costs with application 59 3. 8 Further aspects of heat-exchanger optimisation 59 3. 9 An elementary programming problem 60 3. 10 Classification of optimisation problems and methods of solution 62 3. 11 The design of rotating discs: an optimum structure 66 3. 12 Hubdesign 73 3. 13 Summary 73 Questions 73 Answers 74 4 Insight 4. 1 Introduction 76 4. 2 Rough calculations 76 4. 3 Optimisation of compressor shaft diameter 83 4. 4 The optimum virtual shaft: a digression 85 4. 5 Useful measures and concepts 87 4. 6 Bounds and limits 91 4. 7 Scale effects 94 4. 8 Dimensional analysis and scaling 98 4. 9 Proportion 99 100 4. 10 Change of viewpoint Questions 102 104 Answers 5 Matching 5. 1 Matching: the windlass 107 5. 2 An extended example of matching: ship propulsion 107 5. 3 Matching within a single machine III 5. 4 Further aspects of ship propulsion 112 5. 5 Specific speeds: degrees of freedom 113 5. 6 Matching of a spring to its task liS 5. 7 Matching in thermodynamic processes 117 5. 8 Two old cases of matching 121 5.

Dimensional Analysis Beyond the Pi Theorem

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Publisher : Springer
ISBN 13 : 3319457268
Total Pages : 278 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Dimensional Analysis Beyond the Pi Theorem by : Bahman Zohuri

Download or read book Dimensional Analysis Beyond the Pi Theorem written by Bahman Zohuri and published by Springer. This book was released on 2016-11-02 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dimensional Analysis and Physical Similarity are well understood subjects, and the general concepts of dynamical similarity are explained in this book. Our exposition is essentially different from those available in the literature, although it follows the general ideas known as Pi Theorem. There are many excellent books that one can refer to; however, dimensional analysis goes beyond Pi theorem, which is also known as Buckingham’s Pi Theorem. Many techniques via self-similar solutions can bound solutions to problems that seem intractable. A time-developing phenomenon is called self-similar if the spatial distributions of its properties at different points in time can be obtained from one another by a similarity transformation, and identifying one of the independent variables as time. However, this is where Dimensional Analysis goes beyond Pi Theorem into self-similarity, which has represented progress for researchers. In recent years there has been a surge of interest in self-similar solutions of the First and Second kind. Such solutions are not newly discovered; they have been identified and named by Zel’dovich, a famous Russian Mathematician in 1956. They have been used in the context of a variety of problems, such as shock waves in gas dynamics, and filtration through elasto-plastic materials. Self-Similarity has simplified computations and the representation of the properties of phenomena under investigation. It handles experimental data, reduces what would be a random cloud of empirical points to lie on a single curve or surface, and constructs procedures that are self-similar. Variables can be specifically chosen for the calculations.

Physical Models and Laboratory Techniques in Coastal Engineering

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Publisher : World Scientific
ISBN 13 : 9789810215415
Total Pages : 592 pages
Book Rating : 4.2/5 (154 download)

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Book Synopsis Physical Models and Laboratory Techniques in Coastal Engineering by : Steven A. Hughes

Download or read book Physical Models and Laboratory Techniques in Coastal Engineering written by Steven A. Hughes and published by World Scientific. This book was released on 1993 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Laboratory physical models are a valuable tool for coastal engineers. Physical models help us to understand the complex hydrodynamic processes occurring in the nearshore zone and they provide reliable and economic engineering design solutions.This book is about the art and science of physical modeling as applied in coastal engineering. The aim of the book is to consolidate and synthesize into a single text much of the knowledge about physical modeling that has been developed worldwide.This book was written to serve as a graduate-level text for a course in physical modeling or as a reference text for engineers and researchers engaged in physical modeling and laboratory experimentation. The first three chapters serve as an introduction to similitude and physical models, covering topics such as advantages and disadvantages of physical models, systems of units, dimensional analysis, types of similitude and various hydraulic similitude criteria applicable to coastal engineering models.Practical application of similitude principles to coastal engineering studies is covered in Chapter 4 (Hydrodynamic Models), Chapter 5 (Coastal Structure Models) and Chapter 6 (Sediment Transport Models). These chapters develop the appropriate similitude criteria, discuss inherent laboratory and scale effects and overview the technical literature pertaining to these types of models. The final two chapters focus on the related subjects of laboratory wave generation (Chapter 7) and measurement and analysis techniques (Chapter 8).