Dimensional Analysis and Scale-up in Chemical Engineering

Dimensional Analysis and Scale-up in Chemical Engineering

by Marko Zlokarnik

Paperback(Softcover reprint of the original 1st ed. 1991)

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Dimensional Analysis and Scale-up in Chemical Engineering by Marko Zlokarnik

Contemporary Chemical Process Engineers face complex design and research problems. Temperature-dependent physical properties and non-Newtonian flow behavior of substances in a process cannot be predicted by numerical mathematics. Scaling-up equipment for processing can often only be done with partial similarity methods. Standard textbooks often neglect topics like dimensional analysis, theory of similarity and scale-up. This book fills this gap! It is aimed both at university students and the process engineer. It presents dimensional analysis very comprehensively with illustrative examples of mechanical, thermal and chemical processes.

Product Details

ISBN-13: 9783540541028
Publisher: Springer Berlin Heidelberg
Publication date: 11/15/1991
Edition description: Softcover reprint of the original 1st ed. 1991
Pages: 178
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

1 Dimensional Analysis.- 1.1 A Brief Historical Survey.- 1.2 Introduction to Dimensional Analysis.- 1.3 Fundamentals of Dimensional Analysis.- 1.3.1 Physical quantities and the relationship between them.- 1.3.2 Consistency of secondary units and invariance of physical relationships.- 1.3.3 Physical dimensions, Systems of dimensions, Dimensional constants.- 1.3.4 The dimensional matrix and its linear dependence.- 1.3.5 The— Theorem.- 2 Description of a Physical Process with a full Set of Dimensionless Numbers.- 2.1 The Relevance List for a Problem.- 2.1.1 Geometric variables.- 2.1.2 Material parameters.- 2.1.3 Process-related parameters.- 2.1.4 Universal physical constants.- 2.1.5 Intermediate quantities.- 2.2 Determination of a Complete Set of Dimensionless Numbers.- 2.3 The— Relationship.- 2.4 Reduction of the Size of the Matrix.- 2.5 Change of Dimensional Systems.- 3 Similarity and Scale-up.- 3.1 Basic Principles of Scale-up.- 3.2 Experimental Methods for Scale-up.- 3.3 Scale-up under Conditions of Partial Similarity.- 4 Treatment of Variable Physical Properties by Dimensional Analysis.- 4.1 Dimensionless Representation of the Material Function.- 4.2 The— set for Variable Physical Properties.- 4.3 Treatment of non-Newtonian Liquids by Dimensional Analysis.- 4.4 Treatment of Viscoelastic Liquids by Dimensional Analysis.- Examples of Practical Application.- A Examples from the Field of Mechanical Unit Operations.- Introductory remarks.- Example A 1:.- Power consumption and mixing time for the homogenization of liquid mixtures. Design principles for stirrers and the determination of optimum conditions (minimum mixing work P?).- Example A 2:.- Power consumption in the case of gas/liquid contacting. Design principles for stirrers and model experiments for scale-up.- Example A 3:.- Power consumption and gas throughput in self-aspirating hollow stirrers. Optimum conditions for P/q = min and an answer to the question whether this type of stirrer is suitable for technical applications.- Example A 4:.- Mixing of solids in drums with axially operating paddle mixer.- Example A 5:.- Gas hold-up in bubble columns and its dependenceon geometric, physical and process-related parameters.- Example A 6:.- Description of the flotation process with the aid of two intermediate quantities.- Example A 7:.- Preparation of design and scale-up data for mechanical foam breakers without knowledge of the physical properties of the foam.- Example A 8:.- Description of the temporal course of spin drying in centrifugal filters.- Example A 9:.- Description of particle separation by means of inertial forces.- Example A 10:.- Conveying characteristics of single-screw machines for Newtonian and non-Newtonian liquids. Optimum conditions (P/q = min) and scale-up.- B Examples from the Field of Thermal Unit Operations-Heat and Mass Transfer.- Introductory Remarks.- Example B1:.- Steady-state heat transfer in the mixing vessel at cooling and the optimum conditions for maximum removal of the heat of reaction.- Example B2:.- Steady-state heat transfer in bubble columns.- Example B3:.- Time course of temperature equalization in a liquid with temperature-dependent viscosity in the case of free convection.- Example B4:.- Mass transfer in the gas/liquid system in mixing vessels (bulk aeration) and in biological waste water treatment pools (surface aeration).- Example B5:.- Design and scale-up of injectors as gas distributors in bubble columns.- Example B6:.- Scale-up problems relating to continuous, carrier-free electrophoresis.- C Examples from the Field of Chemical Reaction Engineering.- Introductory remarks:.- Example C1:.- Continuous chemical reaction processes in a tubular reactor.- 1. Homogeneous irreversible reactions of the 1st order.- 2. Heterogeneous catalytic reactions of the 1st order.- Example C2:.- Influence of back-mixing (macromixing) on the degree of conversion in continuous chemical reaction operation.- Example C 3:.- Influence of micro-mixing on selectivity in a continuous chemical reaction process.- Example C4:.- Mass transfer limitation of the reaction rate of fast chemical reactions in the heterogeneous material system gas/liquid.- Important, Named Dimensionless Numbers.- A Mechanical Unit Operations.- B Thermal Unit Operations (Heat Transfer).- C Thermal Unit Operations (Mass Transfer).- D Chemical Reaction Engineering.- References.- A Single Topics.- B Books and General Treatises.- C Examples of Application.

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