The Pi-Theorem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Pi-Theorem write by L.P. Yarin. This book was released on 2012-01-21. The Pi-Theorem available in PDF, EPUB and Kindle. This volume presents applications of the Pi-Theorem to fluid mechanics and heat and mass transfer. The Pi-theorem yields a physical motivation behind many flow processes and therefore it constitutes a valuable tool for the intelligent planning of experiments in fluids. After a short introduction to the underlying differential equations and their treatments, the author presents many novel approaches how to use the Pi-theorem to understand fluid mechanical issues. The book is a great value to the fluid mechanics community, as it cuts across many subdisciplines of experimental fluid mechanics.
Dimensional Analysis Beyond the Pi Theorem
Dimensional Analysis Beyond the Pi Theorem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dimensional Analysis Beyond the Pi Theorem write by Bahman Zohuri. This book was released on 2016-11-02. Dimensional Analysis Beyond the Pi Theorem available in PDF, EPUB and Kindle. 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.
The Pi-Theorem
The Pi-Theorem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Pi-Theorem write by L.P. Yarin. This book was released on 2012-01-22. The Pi-Theorem available in PDF, EPUB and Kindle. This volume presents applications of the Pi-Theorem to fluid mechanics and heat and mass transfer. The Pi-theorem yields a physical motivation behind many flow processes and therefore it constitutes a valuable tool for the intelligent planning of experiments in fluids. After a short introduction to the underlying differential equations and their treatments, the author presents many novel approaches how to use the Pi-theorem to understand fluid mechanical issues. The book is a great value to the fluid mechanics community, as it cuts across many subdisciplines of experimental fluid mechanics.
Dimensional Analysis
Dimensional Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dimensional Analysis write by J.C. Gibbings. This book was released on 2011-02-11. Dimensional Analysis available in PDF, EPUB and Kindle. 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 and Self-Similarity Methods for Engineers and Scientists
Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists write by Bahman Zohuri. This book was released on 2015-04-15. Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists available in PDF, EPUB and Kindle. 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.
