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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 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 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
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.
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 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 : Tracy Horntvedt
Download or read book Dimensional Analysis written by Tracy Horntvedt and published by F.A. Davis. This book was released on 2023-02-01 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: Make dosage calculations easier to master with dimensional analysis. Dosage calculations can be intimidating, but they don’t need to be. Dimensional analysis is an easy, systematic approach that shows you how to master simple to complex calculations with consistency and accuracy and reduce medication errors to ensure that drugs are administered safely and documented correctly. Dimensional analysis, which can be used on virtually every dosage calculation problem, eliminates the need to use other methods or perform lengthy, multi-step calculations. It’s a method of problem-solving that organizes data in a manner that is easy to understand and apply.
Book Synopsis Tools for Infinite Dimensional Analysis by : Jeremy J. Becnel
Download or read book Tools for Infinite Dimensional Analysis written by Jeremy J. Becnel and published by CRC Press. This book was released on 2020-12-28 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past six decades, several extremely important fields in mathematics have been developed. Among these are Itô calculus, Gaussian measures on Banach spaces, Malliavan calculus, and white noise distribution theory. These subjects have many applications, ranging from finance and economics to physics and biology. Unfortunately, the background information required to conduct research in these subjects presents a tremendous roadblock. The background material primarily stems from an abstract subject known as infinite dimensional topological vector spaces. While this information forms the backdrop for these subjects, the books and papers written about topological vector spaces were never truly written for researchers studying infinite dimensional analysis. Thus, the literature for topological vector spaces is dense and difficult to digest, much of it being written prior to the 1960s. Tools for Infinite Dimensional Analysis aims to address these problems by providing an introduction to the background material for infinite dimensional analysis that is friendly in style and accessible to graduate students and researchers studying the above-mentioned subjects. It will save current and future researchers countless hours and promote research in these areas by removing an obstacle in the path to beginning study in areas of infinite dimensional analysis. Features Focused approach to the subject matter Suitable for graduate students as well as researchers Detailed proofs of primary results
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 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 High-Dimensional Statistics by : Johannes Lederer
Download or read book Fundamentals of High-Dimensional Statistics written by Johannes Lederer and published by Springer Nature. This book was released on 2021-11-16 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a step-by-step introduction to the tools and principles of high-dimensional statistics. Each chapter is complemented by numerous exercises, many of them with detailed solutions, and computer labs in R that convey valuable practical insights. The book covers the theory and practice of high-dimensional linear regression, graphical models, and inference, ensuring readers have a smooth start in the field. It also offers suggestions for further reading. Given its scope, the textbook is intended for beginning graduate and advanced undergraduate students in statistics, biostatistics, and bioinformatics, though it will be equally useful to a broader audience.
Book Synopsis Dimensional Analysis by : Tracy Horntvedt
Download or read book Dimensional Analysis written by Tracy Horntvedt and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focus on patient safety Learning models, including the "4 Cs" approach to dosage calculations: compute, convert, conceptualize, and critically evaluate Over 1,000 practice problems throughout the book, including... Basic skills pre-test End-of-section practice tests in each chapter End-of-unit assessment tests End-of-book post-test 18 "Speed Challenge" chapter quizzes online to increase speed and accuracy Real-life scenarios that illustrate how to apply concepts to practice "Note" and "Alert" boxes that highlight potential safety issues to keep in mind when calculating math problems A glossary of key terms at the beginning of each chapter
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 : 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.
