Principles and Applications of Dimensional Analysis and Similarity

The book provides a summary of the historical evolution of dimensional analysis, frames the problem of dimensions, systems of units, and similarity in a vision dominated by the conventions that formalize even the exact sciences, and focuses on applications in some of the engineering sectors. It also contains descriptions of experimental apparatuses and measurement techniques and instrumentation and statistical data processing.

Format: Hardback
Length: 428 pages
Publication date: 05 February 2022
Publisher: Springer Nature Switzerland AG

The book offers a comprehensive overview of the historical development of dimensional analysis, providing a framework for understanding the concepts of dimensions, units, and similarity within a context influenced by formal conventions that govern even the most precise scientific disciplines. The first four chapters delve into the definitions and theorems of dimensional analysis, while also exploring the principles of similarity. Additionally, the book examines self-similarity, both of the first and second kind, with a few fully solved problems presented within the framework of group theory. From chapter 5 onwards, the focus shifts to applying dimensional analysis in various engineering sectors. While the number of topics covered is necessarily limited, each chapter includes detailed explanations, calculations, and discussions of assumptions. Furthermore, the book provides descriptions of experimental apparatuses commonly used for realizing physical models, such as wind tunnels, shaking tables, and centrifuges. Additionally, measurement techniques, instrumentation, and statistical data processing are covered in other books, while more specific notions required by the context are outlined in the appendix. This appendix also includes a comprehensive description of numerous dimensionless groups, many of which have engineering applications but exclude other groups related to physical processes of electrical nature or particle physics. A glossary is provided to clarify the meaning of specific terms commonly used in dimensional analysis and referenced throughout the book.

Weight: 935g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030792169
Edition number: 1st ed. 2021