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Fundamentals of Dimensional Analysis

Theory and Applications in Metallurgy

  • Book
  • © 2021

Overview

Authors:
  1. Alberto N. Conejo

    1. School of Metallurgical and Ecological Engineering, University of Science and Technology Beijing (USTB), Beijing, China

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  • Provides Step by step solution of different problems to describe all methods of dimensional analysis
  • First integral approach to study dimensional analysis, introducing the knowledge required to define the values of the relevant variables through experimentation and then obtain a final particular solution, which allows a final assessment of the whole process
  • First book on dimensional analysis with applications in metallurgy

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Introduction

    • Alberto N. Conejo
    Pages 1-6

  3. Origin and Historic Evolution of Dimensional Analysis

    • Alberto N. Conejo
    Pages 7-11

  4. Units, Dimensions and Dimensional Homogeneity

    • Alberto N. Conejo
    Pages 13-30

  5. Dimensionless Numbers

    • Alberto N. Conejo
    Pages 31-53

  6. Rayleigh’s Method

    • Alberto N. Conejo
    Pages 55-67

  7. Buckingham’s π Theorem

    • Alberto N. Conejo
    Pages 69-76

  8. Step by Step Method (Ipsen’s Method)

    • Alberto N. Conejo
    Pages 77-82

  9. Matrix Method

    • Alberto N. Conejo
    Pages 83-93

  10. Inspection Method

    • Alberto N. Conejo
    Pages 95-97

  11. Engineering Problems with and without Experimental Data

    • Alberto N. Conejo
    Pages 99-137

  12. Applications of Dimensional Analysis in Metallurgy

    • Alberto N. Conejo
    Pages 139-321

  13. Scaling and Similarity

    • Alberto N. Conejo
    Pages 323-345

  14. Non-dimensionalization of Differential Equations

    • Alberto N. Conejo
    Pages 347-378

  15. Back Matter

    Pages 379-379
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Keywords

About this book

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.

Reviews

“Fundamentals of Dimensional Analysis is a curious book. … the book does contain some interesting and novel applications of dimensional analysis … and the historical sections at the beginning of most of the chapters are effective. On those counts, it is a worthwhile addition to the existing literature.” (Raj Chhabra, Physics Today, November, 2022)

“It is intended to be a guide to teach engineers in metallurgy how to apply dimensional analysis to metallurgical problems. … the true value of the book will be to engineers in metallurgy, who will appreciate the application of dimensional analysis to a wide range number of metallurgical engineering problems.”(Richard Brown, SIAM Review, Vol. 64 (2), June, 2022)



Authors and Affiliations

  • School of Metallurgical and Ecological Engineering, University of Science and Technology Beijing (USTB), Beijing, China

    Alberto N. Conejo

About the author

Prof. Alberto N. Conejo is a full professor at the University of Science and Technology Beijing (USTB). School of Metallurgical and Ecological Engineering. Beijing China. He is also a principal researcher on ironmaking and steelmaking at Ferrous Metallurgy Research Institute (FeMRI) México. Prof. Conejo obtained his PhD in Metallurgical Engineering from Colorado School of Mines, Golden CO, USA in 1995. He is an Editorial Member of the International Journal of Minerals, Metallurgy and Materials since 2019 and an Editorial Member of Metallurgical Research and Technology (previously known as Revue de Metallurgie) since 2017. He was awarded National award (2nd place): Technology and Science award granted by the Mexican Steel Producers Association (Canacero). 2010/2011 for his work on EAF modeling.  

Bibliographic Information

  • Book Title: Fundamentals of Dimensional Analysis

  • Book Subtitle: Theory and Applications in Metallurgy

  • Authors: Alberto N. Conejo

  • DOI: https://doi.org/10.1007/978-981-16-1602-0

  • Publisher: Springer Singapore

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021

  • Hardcover ISBN: 978-981-16-1601-3Published: 01 June 2021

  • Softcover ISBN: 978-981-16-1604-4Published: 02 June 2022

  • eBook ISBN: 978-981-16-1602-0Published: 31 May 2021

  • Edition Number: 1

  • Number of Pages: XVI, 379

  • Number of Illustrations: 70 b/w illustrations, 18 illustrations in colour

  • Topics: Structural Materials, Applications of Mathematics, Classical Mechanics

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