Bahman Zohuri Dimensional Analysis Beyond the Pi Theorem 9783319457253

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Автор: Bahman Zohuri
Название: Dimensional Analysis Beyond the Pi Theorem
ISBN: 9783319457253
Издательство: Springer
Классификация:

Математика для инженеров

Материаловедение

Техническая термодинамика

Механика текучих сред

ISBN-10: 331945725X
Обложка/Формат: Hardback
Страницы: 266
Вес: 0.60 кг.
Дата издания: 2017
Серия: Engineering
Язык: English
Издание: 1st ed. 2017
Иллюстрации: 73 tables, color; 36 illustrations, color; 42 illustrations, black and white; xix, 266 p. 78 illus., 36 illus. in color.
Размер: 234 x 156 x 18
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Dimensional Analysis and Physical Similarity are well understood subjects, and the general concepts of dynamical similarity are explained in this book. Our exposition is essentially different from those available in the literature, although it follows the general ideas known as Pi Theorem. There are many excellent books that one can refer to; however, dimensional analysis goes beyond Pi theorem, which is also known as Buckingham’s Pi Theorem. Many techniques via self-similar solutions can bound solutions to problems that seem intractable.A time-developing phenomenon is called self-similar if the spatial distributions of its properties at different points in time can be obtained from one another by a similarity transformation, and identifying one of the independent variables as time. However, this is where Dimensional Analysis goes beyond Pi Theorem into self-similarity, which has represented progress for researchers.In recent years there has been a surge of interest in self-similar solutions of the First and Second kind. Such solutions are not newly discovered; they have been identified and named by Zel’dovich, a famous Russian Mathematician in 1956. They have been used in the context of a variety of problems, such as shock waves in gas dynamics, and filtration through elasto-plastic materials.Self-Similarity has simplified computations and the representation of the properties of phenomena under investigation. It handles experimental data, reduces what would be a random cloud of empirical points to lie on a single curve or surface, and constructs procedures that are self-similar. Variables can be specifically chosen for the calculations.
Дополнительное описание: Principles of the Dimensional Analysis.- Dimensional Analysis: Similarity and Self-Similarity.- Shock Wave and High Pressure Phenomena.- Similarity Methods for Nonlinear Problems.- Appendix A: Simple Harmonic Motion.- Appendix B: Pendulum Problem.- Append

Dimensional Analysis Beyond the Pi Theorem, Bahman Zohuri