Dimensional Analysis Beyond the Pi Theorem

• Main Author: Zohuri, Bahman (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Subjects: Engineering.; Applied mathematics.; Engineering mathematics.; Thermodynamics.; Heat engineering.; Heat transfer.; Mass transfer.; Fluid mechanics.; Appl.Mathematics/Computational Methods of Engineering.; Engineering Thermodynamics, Heat and Mass Transfer.; Engineering Fluid Dynamics.

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...

Table of Contents:

• 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
• Appendix C: Similarity Solutions Methods for Partial Differential Equations (PDEs)
• Index.