March 3, 2021

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A First Course in Dimensional Analysis

A First Course in Dimensional Analysis
Author : Juan G. Santiago
Publisher : MIT Press
Release Date : 2019-10-22
Category : Technology & Engineering
Total pages :184
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An introduction to dimensional analysis, a method of scientific analysis used to investigate and simplify complex physical phenomena, demonstrated through a series of engaging examples. This book offers an introduction to dimensional analysis, a powerful method of scientific analysis used to investigate and simplify complex physical phenomena. The method enables bold approximations and the generation of testable hypotheses. The book explains these analyses through a series of entertaining applications; students will learn to analyze, for example, the limits of world-record weight lifters, the distance an electric submarine can travel, how an upside-down pendulum is similar to a running velociraptor, and the number of Olympic rowers required to double boat speed. The book introduces the approach through easy-to-follow, step-by-step methods that show how to identify the essential variables describing a complex problem; explore the dimensions of the problem and recast it to reduce complexity; leverage physical insights and experimental observations to further reduce complexity; form testable scientific hypotheses; combine experiments and analysis to solve a problem; and collapse and present experimental measurements in a compact form. Each chapter ends with a summary and problems for students to solve. Taken together, the analyses and examples demonstrate the value of dimensional analysis and provide guidance on how to combine and enhance dimensional analysis with physical insights. The book can be used by undergraduate students in physics, engineering, chemistry, biology, sports science, and astronomy.

One-dimensional Analysis of Choked-flow Turbines

One-dimensional Analysis of Choked-flow Turbines
Author : Robert E. English,Richard H. Cavicchi
Publisher : Unknown
Release Date : 1952
Category : Aeronautics
Total pages :53
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Flow conditions internal to choked-flow turbines were subjected to a one-dimensional analysis. Factors affecting the design, operation, and manufacture of such turbines were investigated. Criteria are presented which will aid in analysis of test data from such turbines. The effect of turbine-stator adjustment on internal flow conditions was investigated for one application of turbine stator adjustment.

Computer Program for Dimensional Analysis

Computer Program for Dimensional Analysis
Author : A. D. Sloan,W. W. Happ
Publisher : Unknown
Release Date : 1969
Category : Computers
Total pages :29
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Computer program for dimensional analysis using FORTRAN 4 programming.

A Three-dimensional Analysis of the Effects of Heat Generation in Plates

A Three-dimensional Analysis of the Effects of Heat Generation in Plates
Author : Robert R. McWithey
Publisher : Unknown
Release Date : 1968
Category : Plates (Engineering)
Total pages :26
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A One-dimensional Analysis of Magnetohydrodynamic Energy Coonversion

A One-dimensional Analysis of Magnetohydrodynamic Energy Coonversion
Author : Robert G. Deissler
Publisher : Unknown
Release Date : 1961
Category :
Total pages :45
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Dimensional Analysis

Dimensional Analysis
Author : Hans G. Hornung
Publisher : Courier Corporation
Release Date : 2013-01-18
Category : Science
Total pages :80
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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.

Dimensional Analysis

Dimensional Analysis
Author : J.C. Gibbings
Publisher : Springer Science & Business Media
Release Date : 2011-02-11
Category : Mathematics
Total pages :297
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For experiments, dimensional analysis enables the design, checks the validity, orders the procedure and synthesises the data. Additionally it can provide relationships between variables where standard analysis is not available. This widely valuable analysis for engineers and scientists is here presented to the student, the teacher and the researcher. It is the first complete modern text that covers developments over the last three decades while closing all outstanding logical gaps. Dimensional Analysis also lists the logical stages of the analysis, so showing clearly the care to be taken in its use while revealing the very few limitations of application. As the conclusion of that logic, it gives the author's original proof of the fundamental and only theorem. Unlike past texts, Dimensional Analysis includes examples for which the answer does not already exist from standard analysis. It also corrects the many errors present in the existing literature by including accurate solutions. Dimensional Analysis is written for all branches of engineering and science as a teaching book covering both undergraduate and postgraduate courses, as a guide for the lecturer and as a reference volume for the researcher.

Quick Guide to Solving Problems Using Dimensional Analysis

Quick Guide to Solving Problems Using Dimensional Analysis
Author : Gloria P. Craig
Publisher : Lippincott Williams & Wilkins
Release Date : 2003
Category : Medical
Total pages :192
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This abbreviated rendition of Craig's Clinical Calculations Made Easy is designed to provide rules and examples of calculations for LPN/LVN and RN students who use dimensional analysis to calculate and prepare dosages for administration by mouth (PO), and by subcutaneous (SQ), intramuscular (IM), and intravenous (IV) injections. As a supplement or separate quick reference, this two-color pocket guide will help students reduce anxiety related to medical calculation and eliminate medication errors. This text includes images of the medication cup used for oral administration and images of the different types of syringes, including insulin (lo-dose and regular), tuberculin, and 3-cc syringes, as well as the five steps of Dimensional Analysis and the Unit Path from the textbook. Compatibility: BlackBerry(R) OS 4.1 or Higher / iPhone/iPod Touch 2.0 or Higher /Palm OS 3.5 or higher / Palm Pre Classic / Symbian S60, 3rd edition (Nokia) / Windows Mobile(TM) Pocket PC (all versions) / Windows Mobile Smartphone / Windows 98SE/2000/ME/XP/Vista/Tablet PC

Applied Dimensional Analysis and Modeling

Applied Dimensional Analysis and Modeling
Author : Thomas Szirtes
Publisher : Butterworth-Heinemann
Release Date : 2007-04-27
Category : Technology & Engineering
Total pages :856
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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

Infinite Dimensional Analysis

Infinite Dimensional Analysis
Author : Charalambos D. Aliprantis,Kim C. Border
Publisher : Springer Science & Business Media
Release Date : 2007-05-02
Category : Business & Economics
Total pages :704
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Aimed at students and researchers, this is the very first book to present functional analysis in a unified manner, along with applications to economics, social sciences, and engineering. It is a rigorous study of modern functional analysis.

Spectral methods in infinite-dimensional analysis. 1 (1995)

Spectral methods in infinite-dimensional analysis. 1 (1995)
Author : I︠U︡riĭ Makarovich Berezanskiĭ,Ûrij Makarovič Berezanskij,I︠U︡riĭ Grigorʹevich Kondratʹev
Publisher : Springer Science & Business Media
Release Date : 1995
Category : Degree of freedom
Total pages :572
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Dimensional Analysis and Intelligent Experimentation

Dimensional Analysis and Intelligent Experimentation
Author : Andrew Clennel Palmer
Publisher : World Scientific
Release Date : 2008
Category : Technology & Engineering
Total pages :154
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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.

Torts

Torts
Author : Robert J. Gelhaus,Wes Sage
Publisher : Unknown
Release Date : 1973
Category : Torts
Total pages :1
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Dimensional Analysis

Dimensional Analysis
Author : G. I. Barenblatt
Publisher : CRC Press
Release Date : 1987
Category : Science
Total pages :135
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A Student's Guide to Dimensional Analysis

A Student's Guide to Dimensional Analysis
Author : Don S. Lemons
Publisher : Cambridge University Press
Release Date : 2017-03-31
Category : Science
Total pages :121
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This introduction to dimensional analysis covers the methods, history and formalisation of the field, and provides physics and engineering applications. Covering topics from mechanics, hydro- and electrodynamics to thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis. Introducing basic physics and fluid engineering topics through the mathematical methods of dimensional analysis, this book is perfect for students in physics, engineering and mathematics. Explaining potentially unfamiliar concepts such as viscosity and diffusivity, the text includes worked examples and end-of-chapter problems with answers provided in an accompanying appendix, which help make it ideal for self-study. Long-standing methodological problems arising in popular presentations of dimensional analysis are also identified and solved, making the book a useful text for advanced students and professionals.