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Scale-Up in Chemical Engineering

  1. Marko Zlokarnik

Published Online: 15 JUL 2008

DOI: 10.1002/14356007.b01_03.pub2

Ullmann's Encyclopedia of Industrial Chemistry

Ullmann's Encyclopedia of Industrial Chemistry

How to Cite

Zlokarnik, M. 2008. Scale-Up in Chemical Engineering. Ullmann's Encyclopedia of Industrial Chemistry. .

Author Information

  1. Graz, Austria

Publication History

  1. Published Online: 15 JUL 2008

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Abstract

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