Applied Dimensional Analysis and Modeling
Using models and dimensional techniques greatly facilitates the design and testing of engineering systems. It also saves a significant amount of time, effort, and expense in the product development process, while minimizing the possibility of design flaws. Here is the first book to provide a practical, in-depth look at modeling and analysis methods, with a central focus on the interests and concerns of engineers and applied scientists. The book discusses various methods in a comprehensive manner, and uses an array of illustrations, graphs, and numeric tables to illuminate the material. More than 200 worked out examples-drawn from engineering and related applied science disciplines-are also included. In all, this book puts the very potent tools of the "dimensional method" within reach of its readers.
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Mathematical Preliminaries by Pal Rozsa
Formats and Classification
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assume cantilever Category CODATA coefficient column consider const cross-section curves defined deflection density dependent variable derived determined diameter Dimensional Analysis dimensional matrix Dimensional Set dimensional system dimensionally homogeneous dimensionless variables energy equation equivalent Example exponents Figure five variables fluid force formula frequency function fundamental dimensions geometrically similar given gravitational acceleration heat height Hence identical independent interchanged length linear load mass mensional Modeling Data Table monomial form Note number of dimensionless number of dimensions number of variables parameter physical variables physically irrelevant variable pressure products of variables prototype quantity radius rank relation relevant resuh resuits Scale Factor sets of dimensionless Shift Matrix specific heat capacity speed square matrix Symbol Dimension Remark temperature Theorem three dimensions unit universal gravitational constant Variable Symbol Dimension variables and three velocity write yields Young's modulus zero