Scale-Up in Chemical Engineering: Second, Completely Revised and Extended Edition

The article contains sections titled: 1. Introduction 2. Dimensional Analysis 2.1. The Fundamental Principle 2.2. What Is a Dimension? 2.3. What Is a Physical Quantity? 2.4. Base and Derived Quantities, Dimensional Constants 2.5. Dimensional Systems 2.6. Dimensional Homogeneity of a Physical Content 2.7. The Pi Theorem 3. The Determination of a Pi Set by Matrix Transformation 3.1. The Establishment of a Relevance List of a Problem 3.2. Determination of the Characteristic Geometric Parameter 3.3. Constructing and Solving of the Dimensional Matrix 3.4. Determination of the Process Characteristics 4. Fundamentals of the Theory of Models and Scale-Up 4.1. Theory of Models 4.2. Model Experiments and Scale-Up 5. Further Procedures To Establish a Relevance List 5.1. Consideration of the Acceleration Due to Gravity g 5.2. Introduction of Intermediate Quantities 5.3. Scale-up Procedure at Unavailability of Model Material Systems 5.4. Partial Similarity 6. Short Summary of the Essentials of the Dimensional Analysis and Scale-Up 6.1. Advantages of Dimensional Analysis 6.2. Area of Applicability of Dimensional Analysis 6.3. Experimental Methods for Scale-Up 6.4. Carrying Out Experiments under Change of Scales 7. Treatment of Variable Physical Properties by Dimensional Analysis 7.1. Dimensionless Representation of the Material Function µ(T) 7.2. Standard Representation of Particle Strength σ of Different Materials in Dependence on Particle Diameter dp 7.3. Pi Set for Variable Physical Properties 7.4. Material Function in Non-Newtonian Liquids 7.4.1. Pseudoplastic Flow Behavior 7.4.2. Viscoelastic Flow Behavior 7.5. Pi Space in Processes with Non-Newtonian Fluids 8. Dimensional Analytical Treatment of Heat-Transfer Processes 9. Dimensional Analytical Treatment of Mass-Transfer Processes 9.1. Dimensional Analysis of Mass Transfer in the System G/L 9.2. Dimensional Analysis of Mass Transfer in the System S/L