© 2011

Dimensional Analysis


Table of contents

  1. Front Matter
    Pages i-xv
  2. Qing-Ming Tan
    Pages 1-6
  3. Qing-Ming Tan
    Pages 17-47
  4. Qing-Ming Tan
    Pages 49-79
  5. Qing-Ming Tan
    Pages 103-108
  6. Qing-Ming Tan
    Pages 109-138
  7. Qing-Ming Tan
    Pages 139-160
  8. Qing-Ming Tan
    Pages 161-179
  9. Qing-Ming Tan
    Pages E1-E2
  10. Back Matter
    Pages 181-186

About this book


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 advanced undergraduates and graduate students of physics and engineering, as well as research scientists and engineers working in related fields.
Qingming Tan is a former researcher at the Institute of Mechanics, the Chinese Academy of Sciences, China.


Dimensional analysis High velocity impact Hydro-elasto-plastic model Normalization of mathematical simulation Pi theorem

Authors and affiliations

  1. 1.The Institute of MechanicsThe Chinese Academy of SciencesBeijingPeople’s Republic of China

Bibliographic information


From the reviews:

“The reader is attracted by the variety of technological problems treatable with dimensional analysis, like resistance of ships, lubrication, water waves, deflections of beams, fracture, explosions, blasting and jets. Another merit of the book is that of the correct formulation of the mathematical versions of the problems considered. … recommended to specialists or to students.” (Piero Villaggio, Zentralblatt MATH, Vol. 1233, 2012)