Dimensional Analysis

Beginning with the Pi Theorem, the theoretical basis of dimensional analysis, this book offers many examples of dimensional analysis in various branches of mechanics. Includes findings of the author's research group on explosion mechanics and impact dynamics.

Dimensional analysis is an essential scientific method and a powerful tool for solving problems in physics and engineering. This book starts by introducing the Pi Theorem, which is the theoretical foundation of dimensional analysis. It also provides ample and detailed examples of how dimensional analysis is applied to solving problems in various branches of mechanics. The book covers the extensive findings on explosion mechanics and impact dynamics contributed by the author's research group over the past forty years at the Chinese Academy of Sciences.

The book is intended for research scientists and engineers working in the fields of physics and engineering, as well as graduate students and advanced undergraduates of the related fields.

Qing-Ming Tan is a former Professor at the Institute of Mechanics, the Chinese Academy of Sciences, China.

Provides ample and detailed examples of how dimensional analysis is applied to solve problems in various branches of mechanics Adopts the approach that begins by separating the dependent variables from the independent variables on the basis of a physical analysis of the problem Reflects the rich research results on explosion mechanics and impact dynamics at the author's group headed by Prof. C. M. Cheng during the past forty years

Inhalt
Introduction.- Fundamental Principles of Dimensional Analysis.- Problems in Fluid Mechanics.- Problems in Solid Mechanics.- Heat Conduction and Thermal Stress in Solids.- Problems of Coupling Fluid Motion and Solid Deformation.- Hydro-elasto-plastic Modeling.- Similarity Laws for Explosions.- Similarity Laws for High Velocity Impacts.- Normalization in Mathematical Simulations.