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Book Principles and Applications of Dimensional Analysis and Similarity

Download or read book Principles and Applications of Dimensional Analysis and Similarity written by Sandro G. Longo and published by Springer Nature. This book was released on 2022-02-04 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Principles and Applications of Dimensional Analysis and Similarity

Download or read book Principles and Applications of Dimensional Analysis and Similarity written by Sandro G. Longo and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Similarity and Dimensional Methods in Mechanics

Download or read book Similarity and Dimensional Methods in Mechanics written by L. I. Sedov and published by Academic Press. This book was released on 2014-05-12 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Dimensional Analysis

    Book Details:
  • Author : Hans G. Hornung
  • Publisher : Courier Corporation
  • Release : 2013-01-18
  • ISBN : 048615047X
  • Pages : 80 pages

Download or read book Dimensional Analysis written by Hans G. Hornung and published by Courier Corporation. This book was released on 2013-01-18 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Dimensional Analysis and Self Similarity Methods for Engineers and Scientists

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.

Book Dimensional Analysis

    Book Details:
  • Author : Jeffrey H. Williams
  • Publisher : IOP Publishing Limited
  • Release : 2022-03-15
  • ISBN : 9780750336536
  • Pages : 140 pages

Download or read book Dimensional Analysis written by Jeffrey H. Williams and published by IOP Publishing Limited. This book was released on 2022-03-15 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Fundamentals of Dimensional Analysis

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.

Book Applicability of Similarity Principles to Structural Models

Download or read book Applicability of Similarity Principles to Structural Models written by James Norman Goodier and published by . This book was released on 1944 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic account is given in Part 1 of the use of dimensional analysis in constructing similarity conditions for models and structures. The analysis covers large deflections, buckling, plastic behavior, and materials and nonlinear stress-strain characteristics, as well as the simpler structural problems. Part 2 deals with the testing of square plaes in shear, with and without holes.

Book Units  Dimensional Analysis and Physical Similarity

Download or read book Units Dimensional Analysis and Physical Similarity written by Bernard Stanford Massey and published by Van Nostrand Reinhold Company. This book was released on 1971 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Handbook of Formulating Dermal Applications

Download or read book Handbook of Formulating Dermal Applications written by Nava Dayan and published by John Wiley & Sons. This book was released on 2016-12-15 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conceptualization and formulation of skin care products intended for topical use is a multifaceted and evolving area of science. Formulators must account for myriad skin types, emerging opportunities for product development as well as a very temperamental retail market. Originally published as "Apply Topically" in 2013 (now out of print), this reissued detailed and comprehensive handbook offers a practical approach to the formulation chemist's day-to-day endeavors by: Addressing the innumerable challenges facing the chemist both in design and at the bench, such as formulating with/for specific properties; formulation, processing and production techniques; sensory and elegancy; stability and preservation; color cosmetics; sunscreens; Offering valuable guidance to troubleshooting issues regarding ingredient selection and interaction, regulatory concerns that must be addressed early in development, and the extrapolation of preservative systems, fragrances, stability and texture aids; Exploring the advantages and limitations of raw materials; Addressing scale-up and pilot production process and concerns; Testing and Measurements Methods. The 22 chapters written by industry experts such as Roger L. McMullen, Paul Thau, Hemi Nae, Ada Polla, Howard Epstein, Joseph Albanese, Mark Chandler, Steve Herman, Gary Kelm, Patricia Aikens, and Sam Shefer, along with many others, give the reader and user the ultimate handbook on topical product development.

Book Dimensional Analysis Beyond the Pi Theorem

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 266 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.

Book A Student s Guide to Dimensional Analysis

Download or read book A Student s Guide to Dimensional Analysis written by Don S. Lemons and published by Cambridge University Press. This book was released on 2017-03-16 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Dimensional Analysis

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.

Book Experimental Modelling in Engineering

Download or read book Experimental Modelling in Engineering written by F. W. David and published by Elsevier. This book was released on 2013-10-22 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experimental Modelling in Engineering presents the principles of experimental modeling methodically and in such a generalized manner that they may lend themselves to application in practically all fields of technology. The book covers related topics such as modeling based on conditions of similarity; units and dimensions; the applications of homogeneity and dimensionally homogenous equations in the field; and the selection of variables in dimensional analysis. Also covered in the book are topics such as the use of models in experiments; the principle of similarity; examples in experimental modeling; and problems in dimensional analysis and model design. The text is recommended for engineers who would like to know more about the principles, concepts, behind experimental modeling, as well as its applications in engineering and other related fields.

Book Physical Similarity and Dimensional Analysis

Download or read book Physical Similarity and Dimensional Analysis written by William J. Duncan and published by . This book was released on 1955 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Methods In Biotechnology

Download or read book Methods In Biotechnology written by Michael Schweizer and published by CRC Press. This book was released on 2003-09-02 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a grounding in the experimental techniques applicable to the discipline of biotechnology. The introductory section in the text describes procedures for analysis of inorganic and organic materials, strain maintenance and fundamental experiments in gene manipulation. Other chapters deal with fermentation techniques, purification methods for substances of interest, preparation of microbial sensors and the demonstration of oil degradation by bacteria. The final chapter deals with statistical planning of experiments and scale-up methods.

Book Applied Mechanics Reviews

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: