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Fundamentals Of Dimensional Analysis
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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.
Book Synopsis Dimensional Analysis for Engineers by : Volker Simon
Download or read book Dimensional Analysis for Engineers written by Volker Simon and published by Springer. This book was released on 2017-02-09 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Student's Guide to Dimensional Analysis by : Don S. Lemons
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 Synopsis On the Foundations of Dimensional Analysis by : Stefan Drobot
Download or read book On the Foundations of Dimensional Analysis written by Stefan Drobot and published by . This book was released on 1953 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Principles and Applications of Dimensional Analysis and Similarity by : Sandro G. Longo
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 Synopsis Fundamentals of Finite Element Analysis by : Ioannis Koutromanos
Download or read book Fundamentals of Finite Element Analysis written by Ioannis Koutromanos and published by John Wiley & Sons. This book was released on 2018-02-12 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory textbook covering the fundamentals of linear finite element analysis (FEA) This book constitutes the first volume in a two-volume set that introduces readers to the theoretical foundations and the implementation of the finite element method (FEM). The first volume focuses on the use of the method for linear problems. A general procedure is presented for the finite element analysis (FEA) of a physical problem, where the goal is to specify the values of a field function. First, the strong form of the problem (governing differential equations and boundary conditions) is formulated. Subsequently, a weak form of the governing equations is established. Finally, a finite element approximation is introduced, transforming the weak form into a system of equations where the only unknowns are nodal values of the field function. The procedure is applied to one-dimensional elasticity and heat conduction, multi-dimensional steady-state scalar field problems (heat conduction, chemical diffusion, flow in porous media), multi-dimensional elasticity and structural mechanics (beams/shells), as well as time-dependent (dynamic) scalar field problems, elastodynamics and structural dynamics. Important concepts for finite element computations, such as isoparametric elements for multi-dimensional analysis and Gaussian quadrature for numerical evaluation of integrals, are presented and explained. Practical aspects of FEA and advanced topics, such as reduced integration procedures, mixed finite elements and verification and validation of the FEM are also discussed. Provides detailed derivations of finite element equations for a variety of problems. Incorporates quantitative examples on one-dimensional and multi-dimensional FEA. Provides an overview of multi-dimensional linear elasticity (definition of stress and strain tensors, coordinate transformation rules, stress-strain relation and material symmetry) before presenting the pertinent FEA procedures. Discusses practical and advanced aspects of FEA, such as treatment of constraints, locking, reduced integration, hourglass control, and multi-field (mixed) formulations. Includes chapters on transient (step-by-step) solution schemes for time-dependent scalar field problems and elastodynamics/structural dynamics. Contains a chapter dedicated to verification and validation for the FEM and another chapter dedicated to solution of linear systems of equations and to introductory notions of parallel computing. Includes appendices with a review of matrix algebra and overview of matrix analysis of discrete systems. Accompanied by a website hosting an open-source finite element program for linear elasticity and heat conduction, together with a user tutorial. Fundamentals of Finite Element Analysis: Linear Finite Element Analysis is an ideal text for undergraduate and graduate students in civil, aerospace and mechanical engineering, finite element software vendors, as well as practicing engineers and anybody with an interest in linear finite element analysis.
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 856 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
Book Synopsis Dimensional Analysis by : Percy Williams Bridgman (Physicist, United States)
Download or read book Dimensional Analysis written by Percy Williams Bridgman (Physicist, United States) and published by . This book was released on 1937 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 186 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 Synopsis Units, Dimensions, and Dimensionless Numbers by : D. C. Ipsen
Download or read book Units, Dimensions, and Dimensionless Numbers written by D. C. Ipsen and published by . This book was released on 1960 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This reference-text in the area of dimensional analysis offers a clearly written discussion of the concept of units and dimensions. Its purpose is to provide practical knowledge in relation to fluid mechanics and heat transfer, as well as broader fields of physics and research or design engineering. Theory is stressed as the basis for problem solving, and technique is systematically presented as an outcome of theoretical understanding."- Publisher
Book Synopsis Dimensional Analysis by : G. I. Barenblatt
Download or read book Dimensional Analysis written by G. I. Barenblatt and published by CRC Press. This book was released on 1987 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dimensional Analysis by : Hans G. Hornung
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 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.
Author :Palmer Andrew Clennel Publisher :World Scientific Publishing Company ISBN 13 :9813101539 Total Pages :164 pages Book Rating :4.8/5 (131 download)
Book Synopsis Dimensional Analysis And Intelligent Experimentation by : Palmer Andrew Clennel
Download or read book Dimensional Analysis And Intelligent Experimentation written by Palmer Andrew Clennel and published by World Scientific Publishing Company. This book was released on 2008-06-17 with total page 164 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.
Book Synopsis Application of Dimensional Analysis in Economics by : W.M. Grudzewski
Download or read book Application of Dimensional Analysis in Economics written by W.M. Grudzewski and published by IOS Press. This book was released on 2013-08-20 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modeling of economic phenomena and processes, in terms of their static and dynamic features and with regard to the characteristics of their course, is a major methodological trend in studies of the nature, properties and functioning of contemporary management systems. Models describing management systems must be of a multi-aspect nature, entailing aspects such as technical, economic and sociological factors on the one hand, and forecasting, planning, leading, controlling etc., on the other. Developing a method for incorporating such diverse data into a system of analysis is, needless to say, a complex process. Dimensional analysis is a tool which might be useful in this process, but one which, up to now, has been little explored in the economic sciences. This book explores the application of dimensional analysis in the field of economics. It has been structured in a way which corresponds to the formulation of economic quantities, and is divided into five sections: measuring of economic quantities, modeling of economic processes, principles of dimensional analysis, building of quantified dimensional models, and experiment and practical verification.
Book Synopsis Fundamentals of Ship Hydrodynamics by : Lothar Birk
Download or read book Fundamentals of Ship Hydrodynamics written by Lothar Birk and published by John Wiley & Sons. This book was released on 2019-04-25 with total page 885 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Ship Hydrodynamics: Fluid Mechanics, Ship Resistance and Propulsion Lothar Birk, University of New Orleans, USA Bridging the information gap between fluid mechanics and ship hydrodynamics Fundamentals of Ship Hydrodynamics is designed as a textbook for undergraduate education in ship resistance and propulsion. The book provides connections between basic training in calculus and fluid mechanics and the application of hydrodynamics in daily ship design practice. Based on a foundation in fluid mechanics, the origin, use, and limitations of experimental and computational procedures for resistance and propulsion estimates are explained. The book is subdivided into sixty chapters, providing background material for individual lectures. The unabridged treatment of equations and the extensive use of figures and examples enable students to study details at their own pace. Key features: • Covers the range from basic fluid mechanics to applied ship hydrodynamics. • Subdivided into 60 succinct chapters. • In-depth coverage of material enables self-study. • Around 250 figures and tables. Fundamentals of Ship Hydrodynamics is essential reading for students and staff of naval architecture, ocean engineering, and applied physics. The book is also useful for practicing naval architects and engineers who wish to brush up on the basics, prepare for a licensing exam, or expand their knowledge.
Book Synopsis Fundamentals of Dimensional Metrology by : Connie Dotson
Download or read book Fundamentals of Dimensional Metrology written by Connie Dotson and published by . This book was released on 2016 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt:
