Dimensional Analysis and Similarity in Fluid Mechanics

Dimensional Analysis and Similarity in Fluid Mechanics PDF

Author: Nord-Eddine Sad Chemloul

Publisher: John Wiley & Sons

Published: 2020-11-03

Total Pages: 240

ISBN-13: 1119788021

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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 bachelorÂs degree.

Dimensional Analysis and Similarity in Fluid Mechanics

Dimensional Analysis and Similarity in Fluid Mechanics PDF

Author: Nord-Eddine Sad Chemloul

Publisher: John Wiley & Sons

Published: 2020-12-15

Total Pages: 240

ISBN-13: 1786305968

DOWNLOAD EBOOK →

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 and Self-Similarity Methods for Engineers and Scientists

Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists PDF

Author: Bahman Zohuri

Publisher: Springer

Published: 2015-04-15

Total Pages: 379

ISBN-13: 3319134760

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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.

Principles and Applications of Dimensional Analysis and Similarity

Principles and Applications of Dimensional Analysis and Similarity PDF

Author: Sandro G. Longo

Publisher: Springer Nature

Published: 2022-02-04

Total Pages: 447

ISBN-13: 303079217X

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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.

Similitude and Approximation Theory

Similitude and Approximation Theory PDF

Author: S.J. Kline

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 246

ISBN-13: 3642616380

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There are a number of reasons for producing this edition of Simili tude and Approximation Theory. The methodologies developed remain important in many areas of technical work. No other equivalent work has appeared in the two decades since the publication of the first edition. The materials still provide an important increase in understanding for first-year graduate students in engineering and for workers in research and development at an equivalent level. In addition, consulting experiences in a number of industries indi cate that many technical workers in research and development lack knowledge of the methodologies given in this work. This lack makes the work of planning and controlling computations and experiments less efficient in many cases. It also implies that the coordinated grasp of the phenomena (which is so critical to effective research and develop ment work) will be less than it might be. The materials covered in this work focus on the relationship between mathematical models and the physical reality such models are intended v vi Preface to the Springer Edition to portray. Understanding these relationships remains a key factor in simplifying and generalizing correlations, predictions, test programs, and computations. Moreover, as many teachers of engineering know, this kind of understanding is typically harder for students to develop than an understanding of either the mathematics or the physics alone.

Similarity and Dimensional Methods in Mechanics

Similarity and Dimensional Methods in Mechanics PDF

Author: L. I. Sedov

Publisher: Academic Press

Published: 2014-05-12

Total Pages: 386

ISBN-13: 1483225917

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Similarity and Dimensional Methods in Mechanics provides a complete development of the basic concepts of dimensional analysis and similarity methods, illustrated by applications to a wide variety of problems in mechanics. This book shows the power of dimensional and similarity methods in solving problems in the theory of explosions and astrophysics. Organized into five chapters, this book begins with an overview of the fundamental ideas behind similarity and dimensional methods. This text then provides a series of examples of application of the methods. Other chapters consider the use of similarity and dimensional analysis in developing fundamental contributions to viscous fluid theory. This book discusses as well the various theories of isotropic turbulence. The final chapter deals with the applications to the theory of the luminosity and internal structure of stars. This book is a valuable resource for students who wish to learn dimensional analysis and similarity methods for the first time. Readers who are connected with the many aspects of gas dynamics, including space technology, astrophysics, and atomic energy will also find this book useful.

Basic Fluid Mechanics

Basic Fluid Mechanics PDF

Author: J J Sharp

Publisher: Butterworth-Heinemann

Published: 2013-09-11

Total Pages: 150

ISBN-13: 148314075X

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BASIC Fluid Mechanics combines the application of BASIC programming with fluid mechanics. Topics covered in this book include the fundamentals of the BASIC computer language, properties of fluids, fluid statics, kinematics, and conservation of energy. Force and momentum, viscous flow, flow measurement, and dimensional analysis and similarity are also considered. This book is comprised of nine chapters and begins with a brief introduction to the application of BASIC. The discussion then turns to the various properties of a fluid and the differences between fluids and solids. The chapters that follow explore fluid statics, kinematics, and conservation of energy. The Euler and Bernoulli equations that are used to express the principle of conservation of energy when applied to fluids are highlighted, and calculations for force and momentum are presented. The text also considers laminar flow between parallel plates and in circular tubes, as well as the techniques for measuring flow. The final chapter describes the principles of dimensional analysis and similarity methods. Worked examples developing programs for the solution of typical problems are provided at the end of each chapter. This monograph will be useful to students in an undergraduate program and practicing engineers who are attempting to get to grips with modern computational procedures.

Similarity Methods in Engineering Dynamics

Similarity Methods in Engineering Dynamics PDF

Author: P.S. Westine

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 397

ISBN-13: 0444598138

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Here is the second revised and updated edition of probably the most practical sourcebook on similarity methods and modeling techniques available. Written by leading authorities who incorporate many of the latest advances in the field, this new work maps out techniques for modeling as well as instrumentation and data analysis for an extremely wide array of problems in engineering dynamics. This practical reference uses experimental test data on various engineering problems demonstrating exactly how and why these similarity methods work. The problems involve spread of oil slicks, explosive cratering, car crashes, space vehicle heat exchange, explosive forming, and more. The spectrum of topics covered and number of examples are far greater than in other texts. Of particular importance are the dissimilar material modeling techniques which bring new versatility and freedom to the modeler in structural dynamics. The book also contains a clear, in-depth discussion of the theory underlying modeling and includes alternate methods for developing model laws. The work will undoubtedly prove invaluable to every professional involved in testing or design of dynamic experiments.

Principles and Applications of Dimensional Analysis and Similarity

Principles and Applications of Dimensional Analysis and Similarity PDF

Author: Sandro G. Longo

Publisher: Springer

Published: 2021-11-03

Total Pages: 429

ISBN-13: 9783030792169

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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.

Similarity and Dimensional Methods in Mechanics, Tenth Edition

Similarity and Dimensional Methods in Mechanics, Tenth Edition PDF

Author: L. I. Sedov

Publisher: CRC Press

Published: 1993-09-09

Total Pages: 498

ISBN-13: 9780849393082

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Similiarity and Dimensional Methods in Mechanics, 10th Edition is an English language translation of this classic volume examining the general theory of dimensions of physical quantities, the theory of mechanical and physical similarity, and the theory of modeling. Several examples illustrate the use of the theories of similarity and dimensions for establishing fundamental mechanical regularities in aviation, explosions, and astrophysics, as well as in the hydrodynamics of ships. Other interesting areas covered include the general theory of automodel motions of continuum media, the theory of propagation of explosion waves in gases, the theory of one-dimensional nonestablished motion in gases, the fundamentals of the gas-dynamics theory of atom-bomb explosion in the atmosphere and the theory of averaging of gaseous flows in channels. Aspects of modeling include the dimensionless characteristics of compressor operation, the theories of engine thrust, and efficiency of an ideal propeller for subsonic and supersonic speeds. Similiarity and Dimensional Methods in Mechanics, 10th Edition is an ideal volume for researchers and students involved in physics and mechanics.

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