Similitude and Modelling

Similitude and Modelling

1st Edition - January 1, 1980

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  • Author: E. Szücs
  • eBook ISBN: 9780080983783

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Similitude and Modeling describes the theoretical aspects and application of similitude method using mathematical apparatus. This book is organized into two parts encompassing 13 chapters, and begins with an introduction to a simple technological problem in similitude modeling. The first part deals with the concept, physical fundamentals, dimensional analysis, and approximate and partial modeling of similitude. This part explores also the preparation and evaluation of similitude experiments, as well as the general types of similitude invariants. The second part highlights the application areas of similitude modeling, including heat conduction and diffusion, fluid dynamics, elastic deformation, and chemical reactions. This book will prove useful to plant and design engineers.

Table of Contents

  • Preface

    A Simple Technological Problem

    1. Direct Experiment

    2. Test Run (The "classical Method")

    3. Experiment Design

    4. Dimensional Analysis

    5. Analytic Solution

    6. Numerical Solution

    7. Similitude Modeling

    8. Analogy

    Part I. Theory

    Chapter 1. The Concept of Similitude

    Chapter 2. The Similitude Method

    2.1. Geometric Similarity

    2.2. Similitude of Phenomena

    2.3. Physical Variables

    2.4. Dimensional Homogeneity

    2.5. Criteria and Invariants of Similitude

    Chapter 3. Physical Fundamentals (Transport Theory)

    3.1. Extensities and Intensities

    3.2. Balance Equations (Continuity Equations)

    3.3. A Classification of Technological Processes

    Chapter 4. Types of Problems and their Solution

    4.1. Types of Problems

    4.2. Methods of Solution

    Chapter 5. Dimensional Analysis

    5.1. The Purpose of Dimensional Analysis

    5.2. The Method of Dimensional Analysis

    5.3. Dimensional Analysis and Similitude

    Chapter 6. Modeling

    6.1. The Model Concept

    6.2. The Purpose of Modeling

    6.3. Types of Model

    6.4. Analogy

    6.5. "Degrees of Freedom" and the Freedom of Choosing Model Parameters

    Chapter 7. Approximate and Partial Modeling

    7.1. Approximate Similitude

    7.2. Two-Dimensional Approximation

    7.3. Partial Modeling

    7.4. Conclusions

    Chapter 8. Preparation and Evaluation of Experiments

    8.1. Preliminary Analysis

    8.2. Measurement Errors

    8.3. Design of Experiments

    Chapter 9. General Types of Similitude Invariants

    Part II. Applications

    Chapter 10. Heat Conduction and Diffusion

    10.1. Fundamental Equations

    10.2. Examples

    Chapter 11. Fluid Dynamics

    11.1. The Fundamental Equations

    11.2. Examples

    Chapter 12. Elastic Deformation

    12.1. The Fundamental Equations

    12.2. Examples

    Chapter 13. Chemical Reactions

    13.1. The Fundamental Equations

    13.2. Examples

    In Place of a Postscript

    Annotated Bibliography

    Author and Subject Index

Product details

  • Language: English
  • Copyright: © North Holland 1980
  • Published: January 1, 1980
  • Imprint: North Holland
  • eBook ISBN: 9780080983783

About the Author

E. Szücs

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