Notes on Dimensional Analysis and the Principle of Similitude

Notes on Dimensional Analysis and the Principle of Similitude PDF Author: Kenneth Cass Reynolds
Publisher:
ISBN:
Category : Dimensional analysis
Languages : en
Pages : 74

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Notes on Dimensional Analysis and the Principle of Similitude

Notes on Dimensional Analysis and the Principle of Similitude PDF Author: Kenneth Cass Reynolds
Publisher:
ISBN:
Category : Dimensional analysis
Languages : en
Pages : 74

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Book Description


Dimensional Analysis And Similitude (Through Worked Examples)

Dimensional Analysis And Similitude (Through Worked Examples) PDF Author: V.J.F. Kumar
Publisher: New Age International
ISBN: 9788122414868
Category :
Languages : en
Pages : 0

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Book Description
This Is A Reference Book For All Branches Of Engineering Students, Scientists, And Designers Alike. It Was Mainly Conceived To Introduce Conversion Of Units From One System Of Measurements To Another And To Teach The Principles Of Dimensional Analysis And Similitude. It Teaches How To Do Systematic Calculations Arriving At Dimensionless Products Pertaining To A Physical Phenomenon. An Algebraic Perspective Of Dimensional Analysis Has Also Been Presented To Clarify The Theoretical Implications. The Methods Of Similitude And Model Testing Have Finally Been Explained In Detail In A Practical Context.It Teaches The Subject Through About 132 Solved Problems Divided Into Five Chapters Covering All Aspects To Dimensional Analysis And Similitude. Each Basic Principle, Method And Theory Has Been Presented With Examples, Which Can Be Easily Understood By The Reader. The Solved Problems Serve To Understand The Importance Of Selecting Pertinent Variables To Analyze Any Phenomenon. It Also Helps To Illustrate And Clarify The Theory On Dimensional Analysis And Similitude.

A Study of Dimensional Analysis

A Study of Dimensional Analysis PDF Author: Ethel Beatrice Callahan
Publisher:
ISBN:
Category :
Languages : en
Pages : 140

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Principles and Applications of Dimensional Analysis and Similarity

Principles and Applications of Dimensional Analysis and Similarity PDF Author: Sandro G. Longo
Publisher: Springer Nature
ISBN: 303079217X
Category : Mathematics
Languages : en
Pages : 447

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Book Description
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.

Dimensional Analysis

Dimensional Analysis PDF Author: Jeffrey H. Williams
Publisher: IOP Publishing Limited
ISBN: 9780750336536
Category : Science
Languages : en
Pages : 140

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Book Description
Dimensional analysis is a powerful method to analyse complex physical phenomena, including those for which we cannot pose, much less solve governing equations. Its use in science and engineering is ubiquitous and has been central to the work of greats such as Lord Rayleigh, Bohr and Einstein. It offers a method for reducing complex physical problems to their simplest forms and provides a powerful tool for checking whether or not equations are dimensionally consistent and suggests plausible equations when we know which quantities are involved. Every scientist and engineer should have this tool at their command, and this book provides an accessible, modern, self-contained and systematic overview. It outlines the principles of similitude and presents the tools of dimensional analysis for both scientists and engineers and how it can be applied practically to aid not only a greater understanding of theoretical concepts but in designing experiments and analysing experimental data. With examples relevant to a wide range of students and not limited to the physical and engineering sciences, but encompasses the biological and life sciences. The technique has, for example, been used to estimate the running speed of a hungry Tyrannosaurus rex, a comparison of the flights of mosquitos and jet airliners, and the energy released by an atomic weapon. Key Features Draws on and presents examples across the physical, chemical and life sciences, as well as engineering applications Emphasises the technique as a tool and empowers readers to apply the method in developing their own experiments and theoretical understanding Includes methods, history and applications An engaging, accessible, self-contained and systematic resource.

Introduction to the Theory of Similarity

Introduction to the Theory of Similarity PDF Author: Aleksandr Adolʹfovich Gukhman
Publisher:
ISBN:
Category : Dimensional analysis
Languages : en
Pages : 288

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Units, Dimensional Analysis and Physical Similarity

Units, Dimensional Analysis and Physical Similarity PDF Author: Bernard Stanford Massey
Publisher: Van Nostrand Reinhold Company
ISBN:
Category : Science
Languages : en
Pages : 156

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Physical Similarity and Dimensional Analysis

Physical Similarity and Dimensional Analysis PDF Author: William Jolly Duncan
Publisher:
ISBN:
Category : Dimensional analysis
Languages : en
Pages : 182

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Dimensional Analysis and Similitude

Dimensional Analysis and Similitude PDF Author: John L. Bogardi
Publisher:
ISBN:
Category : Dimensional analysis
Languages : en
Pages : 64

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Dimensional Analysis

Dimensional Analysis PDF Author: H. E. Huntley
Publisher:
ISBN:
Category : Dimensional analysis
Languages : en
Pages : 180

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