Units, Dimensions, and Dimensionless Numbers

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Author :
Publisher : Hassell Street Press
ISBN 13 : 9781014014047
Total Pages : 276 pages
Book Rating : 4.0/5 (14 download)

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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 Hassell Street Press. This book was released on 2021-09-09 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Springer
ISBN 13 : 3319327267
Total Pages : 149 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Scaling of Differential Equations by : Hans Petter Langtangen

Download or read book Scaling of Differential Equations written by Hans Petter Langtangen and published by Springer. This book was released on 2016-06-15 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Author :
Publisher : Elsevier
ISBN 13 : 1483293106
Total Pages : 216 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Unit Operations in Food Processing by : R. L. Earle

Download or read book Unit Operations in Food Processing written by R. L. Earle and published by Elsevier. This book was released on 2013-10-22 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Royal Society of Chemistry
ISBN 13 : 0854044337
Total Pages : 240 pages
Book Rating : 4.8/5 (54 download)

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Book Synopsis Quantities, Units and Symbols in Physical Chemistry by : International Union of Pure and Applied Chemistry. Physical and Biophysical Chemistry Division

Download or read book Quantities, Units and Symbols in Physical Chemistry written by International Union of Pure and Applied Chemistry. Physical and Biophysical Chemistry Division and published by Royal Society of Chemistry. This book was released on 2007 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Units of Measurement

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Publisher : Springer Science & Business Media
ISBN 13 : 3642007384
Total Pages : 170 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Units of Measurement by : S. V. Gupta

Download or read book Units of Measurement written by S. V. Gupta and published by Springer Science & Business Media. This book was released on 2009-11-03 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dimensional Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 3642192343
Total Pages : 199 pages
Book Rating : 4.6/5 (421 download)

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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.

Fundamentals of Dimensional Analysis

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Publisher : Springer Nature
ISBN 13 : 9811616027
Total Pages : 384 pages
Book Rating : 4.8/5 (116 download)

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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.

Applied Dimensional Analysis and Modeling

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Publisher : Butterworth-Heinemann
ISBN 13 : 0080555454
Total Pages : 853 pages
Book Rating : 4.0/5 (85 download)

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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

The Art of Insight in Science and Engineering

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Publisher : MIT Press
ISBN 13 : 0262526549
Total Pages : 409 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis The Art of Insight in Science and Engineering by : Sanjoy Mahajan

Download or read book The Art of Insight in Science and Engineering written by Sanjoy Mahajan and published by MIT Press. This book was released on 2014-11-07 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tools to make hard problems easier to solve. In this book, Sanjoy Mahajan shows us that the way to master complexity is through insight rather than precision. Precision can overwhelm us with information, whereas insight connects seemingly disparate pieces of information into a simple picture. Unlike computers, humans depend on insight. Based on the author's fifteen years of teaching at MIT, Cambridge University, and Olin College, The Art of Insight in Science and Engineering shows us how to build insight and find understanding, giving readers tools to help them solve any problem in science and engineering. To master complexity, we can organize it or discard it. The Art of Insight in Science and Engineering first teaches the tools for organizing complexity, then distinguishes the two paths for discarding complexity: with and without loss of information. Questions and problems throughout the text help readers master and apply these groups of tools. Armed with this three-part toolchest, and without complicated mathematics, readers can estimate the flight range of birds and planes and the strength of chemical bonds, understand the physics of pianos and xylophones, and explain why skies are blue and sunsets are red. The Art of Insight in Science and Engineering will appear in print and online under a Creative Commons Noncommercial Share Alike license.

Dimensionless Physical Quantities in Science and Engineering

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Author :
Publisher : Elsevier
ISBN 13 : 0123914582
Total Pages : 454 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Dimensionless Physical Quantities in Science and Engineering by : Josef Kunes

Download or read book Dimensionless Physical Quantities in Science and Engineering written by Josef Kunes and published by Elsevier. This book was released on 2012-02-13 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Academic Press
ISBN 13 : 0123813840
Total Pages : 411 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Biofluid Mechanics by : Wei Yin

Download or read book Biofluid Mechanics written by Wei Yin and published by Academic Press. This book was released on 2011-11-02 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Apollo 15: Preliminary Science Report

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Publisher :
ISBN 13 :
Total Pages : 588 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Apollo 15: Preliminary Science Report by : Manned Spacecraft Center (U.S.)

Download or read book Apollo 15: Preliminary Science Report written by Manned Spacecraft Center (U.S.) and published by . This book was released on 1972 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Apollo 15 mission was the first of the Apollo missions to utilize the full capability of a complex set of spacecraft and launch vehicles... provided results that furnish many new insights into lunar history and structure. Perhaps most important of all, this mission provided results that give a meaningful overall picture of the Moon. The scientific endeavors of the Apollo 15 mission can be divided into three distinct kinds of activities: (1) the orbital experiments, 12) the package of lunar-surface experiments, and (3) the surface sampling and observation."--p. xi.

A Dictionary of Weights, Measures, and Units

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Publisher : Oxford University Press
ISBN 13 : 0191078980
Total Pages : 301 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis A Dictionary of Weights, Measures, and Units by : Donald Fenna

Download or read book A Dictionary of Weights, Measures, and Units written by Donald Fenna and published by Oxford University Press. This book was released on 2002-08-22 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive and authoritative dictionary provides clear definitions of units, prefixes, and styles of weights and measures within the Système International (SI), as well as traditional, and industry-specific units. It also includes general historical and scientific background, covering the development of the sequential definitions and sizing of units. This new reference work will prove invaluable to professional scientists, engineers, technicians as well as to students and the general user. · Over 1,600 clear and concise entries complete with historical background · Covers a broad range of disciplines, including astronomy, electromagnetics, geology, photography, mathematics, meteorology, physics, and temperature · Notes on associated terminology · Numerous tables, including the geochronologic scale and the equation of time · Comprehensive coverage of the whole Système International

Dimensionless Physical Quantities in Science and Engineering

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Author :
Publisher : Elsevier
ISBN 13 : 0124160131
Total Pages : 454 pages
Book Rating : 4.1/5 (241 download)

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Book Synopsis Dimensionless Physical Quantities in Science and Engineering by : Josef Kunes

Download or read book Dimensionless Physical Quantities in Science and Engineering written by Josef Kunes and published by Elsevier. This book was released on 2012-02-13 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Introduction to Chemical Engineering Fluid Mechanics

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Publisher : Cambridge University Press
ISBN 13 : 1316578089
Total Pages : 419 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Chemical Engineering Fluid Mechanics by : William M. Deen

Download or read book Introduction to Chemical Engineering Fluid Mechanics written by William M. Deen and published by Cambridge University Press. This book was released on 2016-08-15 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for introductory undergraduate courses in fluid mechanics for chemical engineers, this stand-alone textbook illustrates the fundamental concepts and analytical strategies in a rigorous and systematic, yet mathematically accessible manner. Using both traditional and novel applications, it examines key topics such as viscous stresses, surface tension, and the microscopic analysis of incompressible flows which enables students to understand what is important physically in a novel situation and how to use such insights in modeling. The many modern worked examples and end-of-chapter problems provide calculation practice, build confidence in analyzing physical systems, and help develop engineering judgment. The book also features a self-contained summary of the mathematics needed to understand vectors and tensors, and explains solution methods for partial differential equations. Including a full solutions manual for instructors available at www.cambridge.org/deen, this balanced textbook is the ideal resource for a one-semester course.

Street-Fighting Mathematics

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Publisher : MIT Press
ISBN 13 : 0262265591
Total Pages : 152 pages
Book Rating : 4.2/5 (622 download)

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Book Synopsis Street-Fighting Mathematics by : Sanjoy Mahajan

Download or read book Street-Fighting Mathematics written by Sanjoy Mahajan and published by MIT Press. This book was released on 2010-03-05 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

Foundations of Data Science

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Publisher : Cambridge University Press
ISBN 13 : 1108617360
Total Pages : 433 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Foundations of Data Science by : Avrim Blum

Download or read book Foundations of Data Science written by Avrim Blum and published by Cambridge University Press. This book was released on 2020-01-23 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the mathematical and algorithmic foundations of data science, including machine learning, high-dimensional geometry, and analysis of large networks. Topics include the counterintuitive nature of data in high dimensions, important linear algebraic techniques such as singular value decomposition, the theory of random walks and Markov chains, the fundamentals of and important algorithms for machine learning, algorithms and analysis for clustering, probabilistic models for large networks, representation learning including topic modelling and non-negative matrix factorization, wavelets and compressed sensing. Important probabilistic techniques are developed including the law of large numbers, tail inequalities, analysis of random projections, generalization guarantees in machine learning, and moment methods for analysis of phase transitions in large random graphs. Additionally, important structural and complexity measures are discussed such as matrix norms and VC-dimension. This book is suitable for both undergraduate and graduate courses in the design and analysis of algorithms for data.