Fundamentals of Dimensional Analysis

Beschreibung

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.
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.
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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Alberto N. Conejo

Themen in »Fundamentals of Dimensional Analysis«

Dimensional analysis Metallurgy Steelmaking Ironmaking Continuous casting Fluid mechanics Slag foaming Discriminated Dimensional Analysis

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“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)


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