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.
Contents Chapter 1. Introduction: Modeling Based on Conditions of Similarity Chapter 2. Units and Dimensions 2.1 Primary and Secondary Quantities 2.2 Dimensionality of Mathematical Operators Chapter 3. Homogeneity and Dimensionally Homogeneous Equations Chapter 4. Non-Dimensional Formulations 4.1 The System Equations Approach 4.2 Rayleigh's Method 4.3 Method Based on Buckingham's Theorem Or Ï€-Theorem 4.3.1 Historical Note on the Ï€-Theorem Chapter 5. The Selection of Variables in Dimensional Analysis 5.1 The Role of the Gravitational Field 5.2 Reduction of the Number of Ï€-Factors 5.2.1 The Application of Directional Properties of Variables 5.2.2 The Application of The Dual Property of Mass Chapter 6. The Use of Models in Experiments Chapter 7. The Principle of Similarity 7.1 Complete Similarity 7.2 The Scaling Factor Î» 7.3 The Concept of Homology 7.4 The Characteristic Variable 7.5 Procedures in Modeling 7.5.1 Modeling of Functional Relations 7.5.2 The Principle of Distortion 7.5.3 Application of Distortion 7.6 Some of the Commonly Encountered Similarity Conditions 7.6.1 Geometric Similarity 7.6.2 Kinematic Similarity 7.6.3 Dynamic Similarity 7.6.4 Materials Similarity 7.6.5 Thermal and Flow Similarity 7.6.6 Electromagnetic Similarity Chapter 8. Scale Effects Chapter 9. Worked Examples in Experimental Modeling 9.1 Behavior of Structures under Load 9.1.1 Modeling of Reinforced Concrete 9.1.2 The Prestressed Concrete 9.2 Beam Hydroballistics 9.2.1 General Aspects of Blunt Body Impact on Water 9.2.2 Drag of Sphere During Vertical Water Entry 9.2.3 Modeling of Space Rocket Booster Splashdown 9.3 Explosive Metal Forming 9.3.1 Metal Forming by the Use of Exploding
- No. of pages:
- © Butterworth-Heinemann 1982
- 17th December 1981
- eBook ISBN: