Experimental Modelling in Engineering

Experimental Modelling in Engineering presents the principles of experimental modeling methodically and in such a generalized manner that they may lend themselves to application in practically all fields of technology.
The book covers related topics such as modeling based on conditions of similarity; units and dimensions; the applications of homogeneity and dimensionally homogenous equations in the field; and the selection of variables in dimensional analysis. Also covered in the book are topics such as the use of models in experiments; the principle of similarity; examples in experimental modeling; and problems in dimensional analysis and model design.
The text is recommended for engineers who would like to know more about the principles, concepts, behind experimental modeling, as well as its applications in engineering and other related fields.

1;Front Cover;1 2;Experimental Modelling in Engineering;4 3;Copyright Page;5 4;Preface;6 5;Table of Content;10 6;CHAPTER 1. INTRODUCTION: MODELLING BASED ON CONDITIONS OF SIMILARITY;12 7;CHAPTER 2. UNITS AND DIMENSIONS;14 7.1;2.1 Primary and Secondary Quantities;14 7.2;2.2 Dimensionality of Mathematical Operators;17 8;CHAPTER 3. HOMOGENEITY AND DIMENSIONALLY HOMOGENEOUS EQUATIONS;19 9;CHAPTER 4. NON-DIMENSIONAL FORMULATIONS;23 9.1;1 The System Equations Approach;23 9.2;4.2 Rayleigh's Method;24 9.3;4.3 Method Based on Buckingham's Theorem or p-Theorem;26 10;CHAPTER 5. THE SELECTION OF VARIABLES IN DIMENSIONAL ANALYSIS;36 10.1;5.1 The Role of the Gravitational Field;36 10.2;5.2 Reduction of the Number of p-Factors;38 11;CHAPTER 6. THE USE OF MODELS IN EXPERIMENTS;45 12;CHAPTER 7. THE PRINCIPLE OF SIMILARITY;47 12.1;7.1 Complete Similarity;47 12.2;7.2 The Scaling Factor p .;49 12.3;7.3 The Concept of Homology;51 12.4;7.4 The Characteristic Variable;53 12.5;7.5 Procedures in Modelling;54 12.6;7.6 Some of the Commonly Encountered Similarity Conditions;70 13;CHAPTER 8. SCALE EFFECTS;99 14;CHAPTER 9. WORKED EXAMPLES IN EXPERIMENTAL MODELLING;103 14.1;9.1 Behaviour of Structures under Load;103 14.2;9.2 Hydroballisties;112 14.3;9.3 Explosive Metal Forming;125 14.4;9.4 Solid Mechanics;134 14.5;9.5 Thermo-Elasticity;144 14.6;9.6 Sloshing in Partially Filled Liquid Containers;151 14.7;9.7 Wind Effects on Structures and the Environment;158 15;CHAPTER 10. PROBLEMS IN DIMENSIONAL ANALYSIS AND MODEL DESIGN;172 16;CHAPTER 11. REFERENCES;181 17;CHAPTER 12. APPENDICES;183 17.1;Appendix 1:Note on Admissible Functional Relations in Modelling;183 17.2;Appendix 2:Relationships Between the Electrical and Magnetic Quantities Defined in Table;185 18;CHAPTER 13. SOLUTIONS TO PROBLEMS IN DIMENSIONAL ANALYSIS AND MODEL DESIGN;187 19;INDEX;197 20;AUTHOR INDEX;200