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Similarity and Modeling in Science and Engineering

Similarity and Modeling in Science and Engineering
Kataloginformation
Feldname Details
Vorliegende Sprache eng
Hinweise auf parallele Ausgaben 409064300 Buchausg. s.: ‡Kuneš, Josef: Similarity and modeling in science and engineering
ISBN 978-1-907343-77-3
Name Kuneš, Josef
T I T E L Similarity and Modeling in Science and Engineering
Verlagsort Cambridge
Verlag Cambridge International Science Publishing Ltd
Erscheinungsjahr 2012
2012
Umfang Online-Ressource (XVII, 440p. 143 illus, digital)
Reihe SpringerLink. Bücher
Notiz / Fußnoten Description based upon print version of record
Weiterer Inhalt Similarity and Modeling in Science and Engineering; Contents; Foreword; Preface; Acknowledgements; 2.2. Classification and Properties of Models; Classification of tasks; Direct tasks; Indirect tasks; Identification tasks; Optimization tasks; 3.1 Quantities, Dimensional Matrix and Similarity Criteria; 3.2 Determination of Number and Form of Similarity Criteria; 3.3 Conversion of Units and Quantities; 3.4 Determination of Functional Relations; Solution utilizing improved procedure; 3.5 Applications; Methods of Similarity Analysis; 4.1 Physical Phenomenological Model Analysis. 4.1.1 Phenomenological Expression of Forces and Energies4.1.2 Physical Significance of Similarity Criteria; 4.1.3 Examples; 4.2 Mathematical Model Analysis; 4.2.1 Procedure Utilizing Scale Similarity Indicators; 4.2.2 Procedure Utilizing Reference Quantities; 4.2.3 Procedure Utilizing Integral Analogues; 4.3 Applications; 4.3.1 Thermomechanics of Solid Bodies; 4.3.2 Thermomechanics of Fluids; 4.3.3 Electricity and Magnetism; 4.3.4 Physical Chemistry; 4.3.5 Rheology and Tribology; 4.3.6 Technology; 4.3.7 Ecology and Medicine; Mathematical Models; 5.1. Characterization of Mathematical Models. 5.2 Asymptotic Mathematical Models5.2.1 Equations of Mathematical Physics; 5.2.2 Conditions of Unambiguity; 5.2.3 Mathematical Model Transformations; 5.2.4 Methods of Tasks Solution; 5.3 Phenomenological Mathematical Models; 5.3.1 Phenomenological Model Formation and Evaluation; 5.4 Applications; 5.4.1 Electrical Engineering; 5.4.2 Physical Technology; 5.4.3 Mechanical Engineering; Physical Models; 6.1 Characterization of Physical Models; 6.2 Physical Modeling Procedure; 6.2.1 Similarity Theorems; 6.2.2 Similarity Criteria Transformations; 6.2.3 Scales Determination in Physical Modeling. 6.2.4 Example6.3 Applications; 6.3.1 Mechanics of Solid Bodies; 6.3.2 Thermomechanics of Fluids; 6.3.3 Mechanical Engineering; Physical Analogues; 7.1 Characterization of Physical Analogues; 7.2 Various Physical Analogies; 7.3 Electrical Analogues of Physical Circuits and Systems; 7.3.1 Analogues of Static Circuits and Systems; 7.3.2 Analogues of Dynamic Circuits; 7.4 Electrical Analogues of Physical Fields; 7.4.1 Analogues of Steady Fields; 7.4.2 Analogues of Unsteady Fields; 7.4.3 Analogues of Basic Boundary Conditions; 7.4.4 Analogues of Coupled Fields. 7.4.5 Analogues of Wave-Diffusion Fields7.4.6 Direct Modeling Method for Gradient Fields; 7.5 Applications; 7.5.1 Mechanics of Solid Bodies; 7.5.2 Mechanics of Fluids; 7.5.3 Thermomechanics; Deterministic Computer Models; 8.1 Characterization of Deterministic Models; 8.2 Numerical Deterministic Models; 8.2.1 Matrix Operational Model; 8.2.2 Models Based on the Finite Difference Method Prin ciple; 8.2.3 Models Based on the Finite Element Method Principle; 8.2.4 Models Based on the Finite Volume Method Principle; 8.2.5 Models Based on the Boundary Element Method Prin ciple. 8.3 Hybrid Deterministic Models and Systems
Titelhinweis Buchausg. s.: ‡Kuneš, Josef: Similarity and modeling in science and engineering
ISBN ISBN 978-1-907343-78-0
Klassifikation TBJ
MAT003000
620.00113
621.3815
TA329-348
TA640-643
SK 955
Kurzbeschreibung 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.
1. Schlagwortkette Mathematisches Modell
Mathematische Modellierung
Numerisches Verfahren
Mathematische Physik
Computerphysik
ANZEIGE DER KETTE Mathematisches Modell -- Mathematische Modellierung -- Numerisches Verfahren -- Mathematische Physik -- Computerphysik
2. Schlagwortkette Mathematisches Modell
Mathematische Modellierung
Numerisches Verfahren
Mathematische Physik
Computerphysik
ANZEIGE DER KETTE Mathematisches Modell -- Mathematische Modellierung -- Numerisches Verfahren -- Mathematische Physik -- Computerphysik
SWB-Titel-Idn 365266817
Signatur Springer E-Book
Bemerkungen Elektronischer Volltext - Campuslizenz
Elektronische Adresse $uhttp://dx.doi.org/10.1007/978-1-907343-78-0
Internetseite / Link Volltext
Siehe auch Volltext
Siehe auch Cover
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