# a student s guide to dimensional analysis

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## A Student S Guide To Dimensional Analysis

Author : Don S. Lemons
ISBN : 9781108146180
Genre : Science
File Size : 78. 90 MB
Format : PDF, ePub

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.

## Dimensional Analysis

Author : J.C. Gibbings
ISBN : 1849963177
Genre : Mathematics
File Size : 30. 40 MB
Format : PDF, Mobi

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.

## Dimensional Analysis For Engineers

Author : Volker Simon
ISBN : 9783319520285
Genre : Technology & Engineering
File Size : 35. 30 MB
Format : PDF, ePub, Docs

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.

## Dimensional Analysis

Author : Hans G. Hornung
ISBN : 9780486150475
Genre : Science
File Size : 42. 97 MB
Format : PDF, ePub, Docs

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.

## Infinite Dimensional Analysis

Author : Charalambos D. Aliprantis
ISBN : 9783662039618
Genre : Mathematics
File Size : 33. 93 MB
Format : PDF, Mobi

This book presents functional analytic methods in a unified manner with applications to economics, social sciences, and engineering. Ideal for those without an extensive background in the area, it develops topology, convexity, Banach lattices, integration, correspondences, and the analytic approach to Markov processes. Many of the results were previously available only in esoteric monographs and will interest researchers and students who will find the material readily applicable to problems in control theory and economics.

## Dimensional Analysis

Author : G. I. Barenblatt
ISBN : 288124226X
Genre : Science
File Size : 89. 61 MB
Format : PDF, Kindle

## A Student S Guide To The Mathematics Of Astronomy

Author : Daniel Fleisch
ISBN : 9781107034945
Genre : Science
File Size : 25. 34 MB
Format : PDF, Mobi

Plain-language explanations and a rich set of supporting material help students understand the mathematical concepts and techniques of astronomy.

## Scaling Self Similarity And Intermediate Asymptotics

Author : G. I. Barenblatt
ISBN : 0521435226
Genre : Mathematics
File Size : 86. 23 MB
Format : PDF, ePub, Docs

Scaling (power-type) laws reveal the fundamental property of the phenomena--self similarity. Self-similar (scaling) phenomena repeat themselves in time and/or space. The property of self-similarity simplifies substantially the mathematical modeling of phenomena and its analysis--experimental, analytical and computational. The book begins from a non-traditional exposition of dimensional analysis, physical similarity theory and general theory of scaling phenomena. Classical examples of scaling phenomena are presented. It is demonstrated that scaling comes on a stage when the influence of fine details of initial and/or boundary conditions disappeared but the system is still far from ultimate equilibrium state (intermediate asymptotics). It is explained why the dimensional analysis as a rule is insufficient for establishing self-similarity and constructing scaling variables. Important examples of scaling phenomena for which the dimensional analysis is insufficient (self-similarities of the second kind) are presented and discussed. A close connection of intermediate asymptotics and self-similarities of the second kind with a fundamental concept of theoretical physics, the renormalization group, is explained and discussed. Numerous examples from various fields--from theoretical biology to fracture mechanics, turbulence, flame propagation, flow in porous strata, atmospheric and oceanic phenomena are presented for which the ideas of scaling, intermediate asymptotics, self-similarity and renormalization group were of decisive value in modeling.

## A Student Guide To Play Analysis

Author : David Rush
ISBN : 0809326094
Genre : Education
File Size : 88. 90 MB
Format : PDF, Mobi

With the skills of a playwright, the vision of a producer, and the wisdom of an experienced teacher, David Rush offers a fresh and innovative guide to interpreting drama in A Student Guide to Play Analysis, the first undergraduate teaching tool to address postmodern drama in addition to classic and modern. Covering a wide gamut of texts and genres, this far-reaching and user-friendly volume is easily paired with most anthologies of plays and is accessible even to those without a literary background. Contending that there are no right or wrong answers in play analysis, Rush emphasizes the importance of students developing insights of their own. The process is twofold: understand the critical terms that are used to define various parts and then apply these to a particular play. Rush clarifies the concepts of plot, character, and language, advancing Aristotle's concept of the Four Causes as a method for approaching a play through various critical windows. He describes the essential difference between a story and a play, outlines four ways of looking at plays, and then takes up the typical structural devices of a well-made play, four primary genres and their hybrids, and numerous styles, from expressionism to postmodernism. For each subject, he defines critical norms and analyzes plays common to the canon. A Student Guide to Play Analysis draws on thoughtful examinations of such dramas as The Cherry Orchard, The Good Woman of Setzuan, Fences, The Little Foxes, A Doll House, The Glass Menagerie, and The Emperor Jones. Each chapter ends with a list of questions that will guide students in further study.

## Dimensional Analysis For Meds

Author : Anna M. Curren
ISBN : 1435438671
Genre : Medical
File Size : 84. 66 MB
Format : PDF, ePub, Docs