Similarity and Modeling in Science and Engineering
2012, XVIII, 442 p.
A product of Cambridge International Science Publishing Ltd.
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Models are categorized according to degree of abstraction and similarity
Introduces and defines the concept of experimental (phenomenological) mathematical models
Basic concepts of modeling are presented from an informational point of view
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 ap-plications. 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 a 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.
Content Level »Research
Keywords »Applications of Engineering Modeling and Simulation - Characteristics of Cybernetic Models - Computer Deterministic and Stochastic Models - Methods of Similarity Analysis - Scale Determination in Physical Modeling - Thermomechanical Considerations in Theoretical Modeling