Units, Dimensions, and Dimensionless Numbers

Units, Dimensions, and Dimensionless Numbers PDF Author: D C Ipsen
Publisher: Hassell Street Press
ISBN: 9781014014047
Category :
Languages : en
Pages : 276

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Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Units, Dimensions, and Dimensionless Numbers

Units, Dimensions, and Dimensionless Numbers PDF Author: D C Ipsen
Publisher: Hassell Street Press
ISBN: 9781014014047
Category :
Languages : en
Pages : 276

Get Book Here

Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Scaling of Differential Equations

Scaling of Differential Equations PDF Author: Hans Petter Langtangen
Publisher: Springer
ISBN: 3319327267
Category : Mathematics
Languages : en
Pages : 149

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Book Description
The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for learning the art of scaling. A special feature of the book is the emphasis on how to create software for scaled models, based on existing software for unscaled models. Scaling (or non-dimensionalization) is a mathematical technique that greatly simplifies the setting of input parameters in numerical simulations. Moreover, scaling enhances the understanding of how different physical processes interact in a differential equation model. Compared to the existing literature, where the topic of scaling is frequently encountered, but very often in only a brief and shallow setting, the present book gives much more thorough explanations of how to reason about finding the right scales. This process is highly problem dependent, and therefore the book features a lot of worked examples, from very simple ODEs to systems of PDEs, especially from fluid mechanics. The text is easily accessible and example-driven. The first part on ODEs fits even a lower undergraduate level, while the most advanced multiphysics fluid mechanics examples target the graduate level. The scientific literature is full of scaled models, but in most of the cases, the scales are just stated without thorough mathematical reasoning. This book explains how the scales are found mathematically. This book will be a valuable read for anyone doing numerical simulations based on ordinary or partial differential equations.

Unit Operations in Food Processing

Unit Operations in Food Processing PDF Author: R. L. Earle
Publisher: Elsevier
ISBN: 1483293106
Category : Technology & Engineering
Languages : en
Pages : 216

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Book Description
This long awaited second edition of a popular textbook has a simple and direct approach to the diversity and complexity of food processing. It explains the principles of operations and illustrates them by individual processes. The new edition has been enlarged to include sections on freezing, drying, psychrometry, and a completely new section on mechanical refrigeration. All the units have been converted to SI measure. Each chapter contains unworked examples to help the student gain a grasp of the subject, and although primarily intended for the student food technologist or process engineer, this book will also be useful to technical workers in the food industry

Quantities, Units and Symbols in Physical Chemistry

Quantities, Units and Symbols in Physical Chemistry PDF Author: International Union of Pure and Applied Chemistry. Physical and Biophysical Chemistry Division
Publisher: Royal Society of Chemistry
ISBN: 0854044337
Category : Reference
Languages : en
Pages : 240

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Book Description
Prepared by the IUPAC Physical Chemistry Division this definitive manual, now in its third edition, is designed to improve the exchange of scientific information among the readers in different disciplines and across different nations. This book has been systematically brought up to date and new sections added to reflect the increasing volume of scientific literature and terminology and expressions being used. The Third Edition reflects the experience of the contributors with the previous editions and the comments and feedback have been integrated into this essential resource. This edition has been compiled in machine-readable form and will be available online.

Dimensional Analysis

Dimensional Analysis PDF Author: Qing-Ming Tan
Publisher: Springer Science & Business Media
ISBN: 3642192343
Category : Technology & Engineering
Languages : en
Pages : 199

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Book Description
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.

Units of Measurement

Units of Measurement PDF Author: S. V. Gupta
Publisher: Springer Science & Business Media
ISBN: 3642007384
Category : Technology & Engineering
Languages : en
Pages : 170

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Book Description
It is for the first time that the subject of quantities and their respective units is dealt this much in detail, a glimpse of units of measurements of base quantities of length, time, mass and volume is given for ancient India, three and four dimensional systems of measurement units are critically examined, establishment of the fact that only four base units are needed to describe a system of units, the basics to arrive at the unit of a derived quantity are explained, basic, derived and dimensionless quantities including quantity calculus are introduced, life history of scientists concerned with measurements units are presented to be inspiring to working metrologists and students. The International System of Units including, Metre Convention Treaty and its various organs including International National of Weights and Measure are described. The realisation of base units is given in detail. Classes of derived units within the SI, units permitted for time to come, units outside SI but used in special fields of measurements are described. Methods to express large numbers are explained in detail. Multiples and sub-multiples prefixes and their proper use are also given. The latest trends to redefine the base Kilogram, Ampere, Kelvin and Mole on existing base units of mass, electric current, temperature and amount of substance, in terms of a single parameter or fundamental constants are briefly described.

Fundamentals of Dimensional Analysis

Fundamentals of Dimensional Analysis PDF Author: Alberto N. Conejo
Publisher: Springer Nature
ISBN: 9811616027
Category : Technology & Engineering
Languages : en
Pages : 384

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Book Description
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.

Dimensionless Physical Quantities in Science and Engineering

Dimensionless Physical Quantities in Science and Engineering PDF Author: Josef Kunes
Publisher: Elsevier
ISBN: 0123914582
Category : Science
Languages : en
Pages : 454

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Book Description
Dimensionless quantities, such as p, e, and f are used in mathematics, engineering, physics, and chemistry. In recent years the dimensionless groups, as demonstrated in detail here, have grown in significance and importance in contemporary mathematical and computer modeling as well as the traditional fields of physical modeling. This book offers the most comprehensive and up to date resource for dimensionless quantities, providing not only a summary of the quantities, but also a clarification of their physical principles, areas of use, and other specific properties across multiple relevant fields. Presenting the most complete and clearly explained single resource for dimensionless groups, this book will be essential for students and researchers working across the sciences. - Includes approximately 1,200 dimensionless quantities - Features both classic and newly developing fields - Easy to use with clear organization and citations to relevant works

Biofluid Mechanics

Biofluid Mechanics PDF Author: Wei Yin
Publisher: Academic Press
ISBN: 0123813840
Category : Science
Languages : en
Pages : 411

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Book Description
Both broad and deep in coverage, Rubenstein shows that fluid mechanics principles can be applied not only to blood circulation, but also to air flow through the lungs, joint lubrication, intraocular fluid movement and renal transport. Each section initiates discussion with governing equations, derives the state equations and then shows examples of their usage. Clinical applications, extensive worked examples, and numerous end of chapter problems clearly show the applications of fluid mechanics to biomedical engineering situations. A section on experimental techniques provides a springboard for future research efforts in the subject area. - Uses language and math that is appropriate and conducive for undergraduate learning, containing many worked examples and end of chapter problems - All engineering concepts and equations are developed within a biological context - Covers topics in the traditional biofluids curriculum, as well as addressing other systems in the body that can be described by biofluid mechanics principles, such as air flow through the lungs, joint lubrication, intraocular fluid movement, and renal transport - Clinical applications are discussed throughout the book, providing practical applications for the concepts discussed.

Applied Dimensional Analysis and Modeling

Applied Dimensional Analysis and Modeling PDF Author: Thomas Szirtes
Publisher: Butterworth-Heinemann
ISBN: 0080555454
Category : Technology & Engineering
Languages : en
Pages : 853

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Book Description
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