Dimensional Analysis

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Dimensional Analysis
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Author : J.C. Gibbings
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-11
Dimensional Analysis written by J.C. Gibbings and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-11 with Mathematics categories.
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
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Author : Volker Simon
language : en
Publisher: Springer
Release Date : 2017-02-09
Dimensional Analysis For Engineers written by Volker Simon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-09 with Technology & Engineering categories.
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
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Author : Jonathan Worstell
language : en
Publisher: Butterworth-Heinemann
Release Date : 2014-03-05
Dimensional Analysis written by Jonathan Worstell and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Technology & Engineering categories.
Practical Guides in Chemical Engineering are a cluster of short texts that each provides a focused introductory view on a single subject. The full library spans the main topics in the chemical process industries that engineering professionals require a basic understanding of. They are 'pocket publications' that the professional engineer can easily carry with them or access electronically while working. Each text is highly practical and applied, and presents first principles for engineers who need to get up to speed in a new area fast. The focused facts provided in each guide will help you converse with experts in the field, attempt your own initial troubleshooting, check calculations, and solve rudimentary problems. Dimensional Analysis provides the foundation for similitude and for up and downscaling. Aeronautical, Civil, and Mechanical Engineering have used Dimensional Analysis profitably for over one hundred years. Chemical Engineering has made limited use of it due to the complexity of chemical processes. However, Chemical Engineering can now employ Dimensional Analysis widely due to the free-for-use matrix calculators now available on the Internet. This book shows how to apply matrices to Dimensional Analysis. - Practical, short, concise information on the basics will help you get an answer or teach yourself a new topic quickly - Supported by industry examples to help you solve a real world problem - Single subject volumes provide key facts for professionals
Dimensional Analysis And Similarity In Fluid Mechanics
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Author : Nord-Eddine Sad Chemloul
language : en
Publisher: John Wiley & Sons
Release Date : 2020-12-15
Dimensional Analysis And Similarity In Fluid Mechanics written by Nord-Eddine Sad Chemloul and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-15 with Science categories.
Dimensional analysis is the basis for the determination of laws that allow the experimental results obtained on a model to be transposed to the fluid system at full scale (a prototype). The similarity in fluid mechanics then allows for better redefinition of the analysis by removing dimensionless elements. This book deals with these two tools, with a focus on the Rayleigh method and the Vaschy-Buckingham method. It deals with the homogeneity of the equations and the conversion between the systems of units SI and CGS, and presents the dimensional analysis approach, before addressing the similarity of flows. Dimensional Analysis and Similarity in Fluid Mechanics proposes a scale model and presents numerous exercises combining these two methods. It is accessible to students from their first year of a bachelors degree.
Dimensional Analysis
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Author : JEFFREY H. WILLIAMS
language : en
Publisher:
Release Date : 2021
Dimensional Analysis written by JEFFREY H. WILLIAMS and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Dimensional analysis categories.
Dimensional analysis is a powerful method to analyse complex physical phenomena, including those for which we cannot pose, much less solve governing equations. Its use in science and engineering is ubiquitous and has been central to the work of greats such as Lord Rayleigh, Bohr and Einstein. It offers a method for reducing complex physical problems to their simplest forms and provides a powerful tool for checking whether or not equations are dimensionally consistent and suggests plausible equations when we know which quantities are involved.
An Introduction To Infinite Dimensional Analysis
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Author : Giuseppe Da Prato
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-25
An Introduction To Infinite Dimensional Analysis written by Giuseppe Da Prato and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-25 with Mathematics categories.
Based on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. It starts from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate basic stochastic dynamical systems and Markov semi-groups, paying attention to their long-time behavior.
Applied Dimensional Analysis And Modeling
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Author : Thomas Szirtes
language : en
Publisher: McGraw Hill Professional
Release Date : 1998
Applied Dimensional Analysis And Modeling written by Thomas Szirtes and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Learn to apply the "dimensional method" to facilitate the design and testing of engineering and physical systemsÑand greatly accelerate the development of products. This is the first book to offer a practical approach to modeling and dimensional analysis, emphasizing the interests and problems of the engineer and applied scientist. Packed with illustrations, graphs, numeric tables, and concrete case studies, this in-depth reference work explains both dimensional analysis and scale modeling...concisely describes constructions of dimensional systems, including SI (metric) and Imperial (U.S.)...and provides over 250 worked-out examples drawn from engineering, applied physics, biomechanics, astronomy, geometry, and economics .
Infinite Dimensional Analysis
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Author : Charalambos D. Aliprantis
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-02
Infinite Dimensional Analysis written by Charalambos D. Aliprantis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-02 with Business & Economics categories.
This monograph presents a study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods, but does not have an extensive background and does not plan to make a career as a functional analyst.
Dimensional Analysis
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Author : G. I. Barenblatt
language : en
Publisher: CRC Press
Release Date : 1987
Dimensional Analysis written by G. I. Barenblatt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Dimensional Analysis And Self Similarity Methods For Engineers And Scientists
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Author : Bahman Zohuri
language : en
Publisher: Springer
Release Date : 2015-04-15
Dimensional Analysis And Self Similarity Methods For Engineers And Scientists written by Bahman Zohuri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-15 with Technology & Engineering categories.
This ground-breaking reference provides an overview of key concepts in dimensional analysis, and then pushes well beyond traditional applications in fluid mechanics to demonstrate how powerful this tool can be in solving complex problems across many diverse fields. Of particular interest is the book’s coverage of dimensional analysis and self-similarity methods in nuclear and energy engineering. Numerous practical examples of dimensional problems are presented throughout, allowing readers to link the book’s theoretical explanations and step-by-step mathematical solutions to practical implementations.