A Student's Guide to Dimensional AnalysisCambridge University Press, 16.03.2017 This introduction to dimensional analysis covers the methods, history and formalisation of the field, and provides physics and engineering applications. Covering topics from mechanics, hydro- and electrodynamics to thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis. Introducing basic physics and fluid engineering topics through the mathematical methods of dimensional analysis, this book is perfect for students in physics, engineering and mathematics. Explaining potentially unfamiliar concepts such as viscosity and diffusivity, the text includes worked examples and end-of-chapter problems with answers provided in an accompanying appendix, which help make it ideal for self-study. Long-standing methodological problems arising in popular presentations of dimensional analysis are also identified and solved, making the book a useful text for advanced students and professionals. |
Inhalt
Mechanics | 17 |
Hydrodynamics | 33 |
Temperature and Heat | 49 |
Electrodynamics and Plasma Physics | 61 |
Quantum Physics | 74 |
Dimensional Cosmology | 85 |
Answers to Problems | 96 |
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Häufige Begriffe und Wortgruppen
¼ CÁ acceleration of gravity Boltzmann’s constant Boltzmann’s constant kB bulk modulus classical collected in Table constant h ð Þ depend determine dimensional analysis dimensional constants dimensional formulae dimensional variables dimensionally homogeneous dimensionless products Eddington-Dirac effective dimensions Electron charge Electron mass electrostatic equation equilibrium Example exponents ffiffiffiffiffi fine structure constant flow fluid force formulae are collected frequency fxðÞ gravity g ideal gas imposed dimensions LTÀ1 LTÀ2 mass density minimum number MLÀ3 MLTÀ2 MTÀ2 NP ¼ NV number of dimensions NV À ND oscillation particles physics Planck mass Planck scale Planck’s constant plasma pressure problem quantum radius Rayleigh algorithm Reynolds number rule of thumb ſº speed of light structure constant surface tension symbols terminal speed thumb NP ¼ turkey undetermined dimensionless number undetermined function vacuum permittivity variables and constants viscosity wavelength waves β ¼ γ ¼ δ ¼