Dimensional Analysis - Qing-Ming Tan

Dimensional Analysis

With Case Studies in Mechanics

(Autor)

Buch | Softcover
XVI, 186 Seiten
2014 | 2011
Springer Berlin (Verlag)
978-3-642-44806-5 (ISBN)
119,99 inkl. MwSt
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.

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.

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)

Erscheint lt. Verlag 7.10.2014
Zusatzinfo XVI, 186 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 320 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Naturwissenschaften Geowissenschaften Meteorologie / Klimatologie
Naturwissenschaften Physik / Astronomie Mechanik
Technik Bauwesen
Technik Maschinenbau
Schlagworte Dimensional Analysis • High velocity impact • Hydro-elasto-plastic model • Normalization of mathematical simulation • Pi theorem
ISBN-10 3-642-44806-2 / 3642448062
ISBN-13 978-3-642-44806-5 / 9783642448065
Zustand Neuware
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