Similarity and Modeling in Science and Engineering

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Springer Science & Business Media, Apr 7, 2012 - Mathematics - 442 pages
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The present text sets itself in relief to other titles on the subject in that it addresses the means and methodologies versus a narrow specific-task oriented approach. Concepts and their developments which evolved to meet the changing needs of applications are addressed. This approach provides the reader with a general tool-box to apply to their specific needs. Two important tools are presented: dimensional analysis and the similarity analysis methods. The fundamental point of view, enabling one to sort all models, is that of information flux between a model and an original expressed by the similarity and abstraction Each chapter includes original examples and applications. In this respect, the models can be divided into several groups. The following models are dealt with separately by chapter; mathematical and physical models, physical analogues, deterministic, stochastic, and cybernetic computer models. The mathematical models are divided into asymptotic and phenomenological models. The phenomenological models, which can also be called experimental, are usually the result of an experiment on an complex object or process. The variable dimensionless quantities contain information about the real state of boundary conditions, parameter (non-linearity) changes, and other factors. With satisfactory measurement accuracy and experimental strategy, such models are highly credible and can be used, for example in control systems.
 

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Contents

Methods of Similarity Analysis
81
Mathematical Models
131
Physical Models
180
Physical Analogues
203
Deterministic Computer Models
252
Stochastic Computer Models
333
Cybernetic Models
376
Appendix A Physical Quantities and Constants
399
References and additional literature
425
Index
437
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About the author (2012)

M.Sc , 1949-1953
Technical University in Plzen, Faculty of Mechanical Engineering
Post-graduate study of nuclear technique , ....................................... 1956-1959
Technical University Plzen
Ph.D. .................................................................................... 1964
Technical University in P1zen
Post-graduate study of experimental methods in mechanics .....................1964-1965
Teclmical University Dresden .
Scientific Qualification Grad I by the decision of the Presidium of the Czech. Ac. Sci. 1980
Doctor of Technical Sciences degree for the branch Thermomechanics ................1991
Technical University Prague
Professor for the branch Technical Cybernetics ........................................................... 1991
Technical University Prague

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