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Under no circumstances shall McGraw-Hill and/or its licensors be liable for any indirect, incidental, special, punitive, consequential or similar damages that result from the use of or inability to use the work, even if any of them has been advised of the possibility of such damages. This limitation of liability shall apply to any claim or cause whatsoever whether such claim or cause arises in contract, tort or otherwise. DOI: 10.1036/0071511431 This page intentionally left blank Section 20 Alternative Separation Processes* Michael E. Prudich, Ph.D. Professor of Chemical Engineering, Ohio University; Member, American Institute of Chemical Engineers, American Chemical Society, American Society for Engineering Education (Section Editor, Alternative Solid/Liquid Separations) Huanlin Chen, M.Sc. Professor of Chemical and Biochemical Engineering, Zhejiang Uni- versity (Selection of Biochemical Separation Processes—Affinity Membrane Chromatography) Tingyue Gu, Ph.D. Associate Professor of Chemical Engineering, Ohio University (Selection of Biochemical Separation Processes) Ram B. Gupta, Ph.D. Alumni (Chair) Professor of Chemical Engineering, Department of Chemical Engineering, Auburn University; Member, American Institute of Chemical Engineers, American Chemical Society (Supercritical Fluid Separation Processes) Keith P. Johnston, Ph.D., P.E. M. C. (Bud) and Mary Beth Baird Endowed Chair and Professor of Chemical Engineering, University of Texas (Austin); Member, American Institute of Chemical Engineers, American Chemical Society, University of Texas Separations Research Pro- gram (Supercritical Fluid Separation Processes) Herb Lutz Consulting Engineer, Millipore Corporation; Member, American Institute of Chemical Engineers, American Chemical Society (Membrane Separation Processes) Guanghui Ma, Ph.D. Professor, State Key Laboratory of Biochemical Engineering, Institute of Process Engineering, CAS, Beijing, China (Selection of Biochemical Separation Processes— Gigaporous Chromatography Media) Zhiguo Su, Ph.D. Professor and Director, State Key Laboratory of Biochemical Engineer- ing, Institute of Process Engineering, CAS, Beijing, China (Selection of Biochemical Separation Processes—Protein Refolding, Expanded-Bed Chromatography) CRYSTALLIZATION FROM THE MELT Pertinent Variables in Zone Melting. . . . . . . . . . . . . . . . . . . . . . . . . . 20-6 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-3 Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-6 Progressive Freezing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-4 Melt Crystallization from the Bulk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-6 Component Separation by Progressive Freezing. . . . . . . . . . . . . . . . 20-4 Investigations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-6 Pertinent Variables in Progressive Freezing. . . . . . . . . . . . . . . . . . . . 20-5 Commercial Equipment and Applications . . . . . . . . . . . . . . . . . . . . . 20-9 Applications. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-5 Falling-Film Crystallization. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-10 Zone Melting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-5 Principles of Operation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-13 Component Separation by Zone Melting . . . . . . . . . . . . . . . . . . . . . . 20-5 Commercial Equipment and Applications . . . . . . . . . . . . . . . . . . . . . 20-13 *The contributions of Dr. Joseph D. Henry (Alternative Solid/Liquid Separations), Dr. William Eykamp (Membrane Separation Processes), Dr. T. Alan Hatton (Selection of Biochemical Separation Processes), Dr. Robert Lemlich (Adsorptive-Bubble Separation Methods), Dr. Charles G. Moyers (Crystallization from the Melt), and Dr. Michael P. Thien (Selection of Biochemical Separation Processes), who were authors for the seventh edition, are acknowledged. 20-1 Copyright © 2008, 1997, 1984, 1973, 1963, 1950, 1941, 1934 by The McGraw-Hill Companies, Inc. Click here for terms of use. 20-2 ALTERNATIVE SEPARATION PROCESSES SUPERCRITICAL FLUID SEPARATION PROCESSES Process Configurations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-42 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-14 Reverse Osmosis (RO) and Nanofiltration (NF). . . . . . . . . . . . . . . . . . . 20-45 Physical Properties of Pure Supercritical Fluids. . . . . . . . . . . . . . . . . . . 20-14 Applications. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-45 Thermodynamic Properties. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-14 Membranes, Modules, and Systems . . . . . . . . . . . . . . . . . . . . . . . . . . 20-47 Transport Properties. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-15 Component Transport in Membranes. . . . . . . . . . . . . . . . . . . . . . . . . 20-48 Phase Equilibria. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-15 Pretreatment and Cleaning. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-48 Liquid-Fluid Equilibria. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-15 Design Considerations and Economics. . . . . . . . . . . . . . . . . . . . . . . . 20-49 Solid-Fluid Equilibria. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-15 Ultrafiltration. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-50 Polymer-Fluid Equilibria and the Glass Transition. . . . . . . . . . . . . . . 20-15 Applications. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-50 Cosolvents and Complexing Agents. . . . . . . . . . . . . . . . . . . . . . . . . . . 20-15 Membranes, Modules, and Systems . . . . . . . . . . . . . . . . . . . . . . . . . . 20-51 Surfactants and Colloids in Supercritical Fluids. . . . . . . . . . . . . . . . . 20-15 Component Transport in Membranes. . . . . . . . . . . . . . . . . . . . . . . . . 20-52 Phase Equilibria Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-16 Design Considerations and Economics. . . . . . . . . . . . . . . . . . . . . . . . 20-53 Mass Transfer. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-16 Microfiltration. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-54 Process Concepts in Supercritical Fluid Extraction. . . . . . . . . . . . . . . . 20-16 Process Description. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-54 Applications. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-16 Brief Examples. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-54 Decaffeination of Coffee and Tea. . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-16 MF Membranes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-54 Extraction of Flavors, Fragrances, Nutraceuticals, Membrane Characterization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-55 and Pharmaceuticals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-16 Process Limitations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-56 Temperature-Controlled Residuum Oil Supercritical Equipment Configuration. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-56 Extraction (ROSE). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-16 Representative Process Applications. . . . . . . . . . . . . . . . . . . . . . . . . . 20-56 Polymer Devolatilization, Fractionation, and Plasticization. . . . . . . . 20-16 Economics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-57 Drying and Aerogel Formation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-17 Gas-Separation Membranes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-57 Cleaning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-17 Process Description. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-57 Microelectronics Processing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-17 Leading Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-57 Precipitation/Crystallization to Produce Nano- and Basic Principles of Operation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-58 Microparticles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-17 Selectivity and Permeability. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-59 Rapid Expansion from Supercritical Solution and Particles Gas-Separation Membranes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-60 from Gas Saturated Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-17 Membrane System Design Features. . . . . . . . . . . . . . . . . . . . . . . . . . 20-60 Reactive Separations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-17 Energy Requirements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-61 Crystallization by Chemical Reaction. . . . . . . . . . . . . . . . . . . . . . . . . 20-18 Economics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-61 Competing Technologies. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-63 Pervaporation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-63 ALTERNATIVE SOLID/LIQUID SEPARATIONS Process Description. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-63 Separation Processes Based Primarily on Action in an Electric Field. . . 20-19 Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-64 Theory of Electrical Separations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-19 Operational Factors. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-65 Electrophoresis. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-20 Vapor Feed. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-65 Electrofiltration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-21 Leading Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-65 Cross-Flow–Electrofiltration. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-21 Pervaporation Membranes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-65 Dielectrophoresis. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-23 Modules. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-66 Surface-Based Solid-Liquid Separations Involving Electrodialysis. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-66 a Second Liquid Phase . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-28 Process Description. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-66 Process Concept. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-28 Leading Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-66 Theory. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-29 Membranes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-67 Adsorptive-Bubble Separation Methods. . . . . . . . . . . . . . . . . . . . . . . . . 20-29 Membrane Efficiency. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-67 Principle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-29 Process Description. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-67 Definitions and Classification. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-30 Process Configuration. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-69 Adsorption. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-31 Energy Requirements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-70 Factors Affecting Adsorption. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-31 Equipment and Economics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-71 Operation in the Simple Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-32 FindingΓ. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-32 SELECTION OF BIOCHEMICAL SEPARATION PROCESSES Bubble Sizes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-32 Enriching and Stripping. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-32 General Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-71 Foam-Column Theory. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-32 Initial Product Harvest and Concentration. . . . . . . . . . . . . . . . . . . . . . . 20-73 Limiting Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-33 Cell Disruption. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-73 Column Operation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-33 Protein Refolding. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-74 Foam Drainage and Overflow. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-34 Clarification Using Centrifugation. . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-75 Foam Coalescence. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-34 Clarification Using Microfiltration. . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-75 Foam Breaking. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-34 Selection of Cell-Separation Unit Operation . . . . . . . . . . . . . . . . . . . 20-76 Bubble Fractionation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-34 Initial Purification. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-76 Systems Separated. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-35 Precipitation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-76 Liquid-Liquid Partitioning. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-76 Adsorption. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-78 MEMBRANE SEPARATION PROCESSES Membrane Ultrafiltration. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-78 Topics Omitted from This Section . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-36 Final Purification. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-79 General Background and Definitions. . . . . . . . . . . . . . . . . . . . . . . . . . . 20-36 Chromatography. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-79 Applications. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-36 Product Polishing and Formulation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-83 Membrane Types. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-37 Lyophilization and Drying. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-83 Component Transport . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-38 Integration of Unit Operations in Downstream Processing. . . . . . . . . . 20-84 Modules and Membrane Systems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20-40 Integration of Upstream and Downstream Operations . . . . . . . . . . . . . 20-84 CRYSTALLIZATION FROM THE MELT GENERALREFERENCES: Van’t Land, Industrial CrystallizationofMelts,Tay- TABLE 20-2 Comparison of Features of Melt Crystallization lor & Francis, New York, 2004. Mullin, Crystallization,4th ed., Butterworth- and Distillation Heinemann, 2001. Myerson, Handbook of Industrial Crystallization, 2d ed., Butterworth-Heinemann, 2001. Pfann, Zone Melting, 2d ed., Wiley, New York, Distillation Melt crystallization 1966. U.S. Patents 3,621,664 and 3,796,060. Zief and Wilcox, Fractional Solidi- Phase equilibria fication, Marcel Dekker, New York, 1967. Both liquid and vapor Liquid phases are totally miscible; solid phases are totally miscible. phases are not. INTRODUCTION Conventional vapor/liquid Eutectic system. Purification of a chemical species by solidification from a liquid mix- equilibrium. ture can be termed either solution crystallization or crystallization Neither phase is pure. Solid phase is pure, except at eutectic point. from the melt.The distinction between these two operations is some- Separation factors are Partition coefficients are very high what subtle. The term melt crystallizationhas been defined as the moderate and decrease as (theoretically, they can be infinite). separation of components of a binary mixture without addition of sol- purity increases. vent, but this definition is somewhat restrictive. In solution crystal- Ultrahigh purity is difficult Ultrahigh purity is easy to achieve. to achieve. lizationa diluent solvent is added to the mixture; the solution is then directly or indirectly cooled, and/or solvent is evaporated to effect No theoretical limit on Recovery is limited by eutectic composition. recovery. crystallization. The solid phase is formed and maintained somewhat below its pure-component freezing-point temperature. In melt crys- Mass-transfer kinetics tallization no diluent solvent is added to the reaction mixture, and the High mass-transfer rates in Only moderate mass-transfer rate in liquid solid phase is formed by cooling of the melt. Product is frequently both vapor and liquid phase, zero in solid. maintained near or above its pure-component freezing point in the phases. refining section of the apparatus. Close approach to Slow approach to equilibrium; achieved in A large number of techniques are available for carrying out crystal- equilibrium. brief contact time. Included impurities lization from the melt. An abbreviated list includes partial freezing cannot diffuse out of solid. and solids recovery in cooling crystallizer-centrifuge systems, partial Adiabatic contact assures Solid phase must be remelted and refrozen melting (e.g., sweating), staircase freezing, normal freezing, zone phase equilibrium. to allow phase equilibrium. melting, and column crystallization. A description of all these methods Phase separability is not within the scope of this discussion. Zief and Wilcox (op. cit.) and Phase densities differ by a Phase densities differ by only about 10%. Myerson (op. cit.) describe many of these processes. Three of the factor of 100–10,000:1. more common methods—progressive freezing from a falling film, Viscosity in both phases is Liquid phase viscosity moderate, solid zone melting, and melt crystallization from the bulk—are discussed low. phase rigid. here to illustrate the techniques used for practicing crystallization Phase separation is rapid Phase separation is slow; surface-tension from the melt. and complete. effects prevent completion. High or ultrahigh product purity is obtained with many of the melt- Countercurrent contacting is Countercurrent contacting is slow and purification processes. Table 20-1 compares the product quality and quick and efficient. imperfect. product form that are produced from several of these operations. Zone refining can produce very pure material when operated in a Wynn, Chem. Eng. Prog.,88,55 (1992). Reprinted with permission of the American Institute of Chemical Engineers. Copyright © 1992 AIChE. All rights batch mode; however, other melt crystallization techniques also pro- reserved vide high purity and become attractive if continuous high-capacity processing is desired. Comparison of the features of melt crystalliza- tion and distillation are shown on Table 20-2. and yields of both components can be achieved since no eutectic is A brief discussion of solid-liquid phase equilibrium is presented present. prior to discussing specific crystallization methods. Figures 20-1 and If the impurity or minor component is completely or partially solu- 20-2 illustrate the phase diagrams for binary solid-solution and eutec- ble in the solid phase of the component being purified, it is convenient tic systems, respectively. In the case of binary solid-solution systems, to define a distribution coefficient k,defined by Eq. (20-1): iqlluuasntrtaittieeds ionf Fbiog.t h2 0c-o1m, tphoen lieqnutisd iann da smolaidn npehra sseims ciloanr tatoin veaqpuoilri-blirqiuumid k=Cs/C(cid:1) (20-1) phase behavior. This type of behavior causes separation difficulties since multiple stages are required. In principle, however, high purity TABLE 20-1 Comparison of Processes Involving Crystallization from the Melt Minimum purity Approximate level upper obtained, melting Materials ppm, Product Processes point, °C tested weight form Progressive freezing 1500 All types 1 Ingot Zone melting Batch 3500 All types 0.01 Ingot Continuous 500 SiI 100 Melt 4 Melt crystallization Continuous 300 Organic 10 Melt Cyclic 300 Organic 10 Melt FIG. 20-1 Phase diagram for components exhibiting complete solid solution. Abbreviated from Zief and Wilcox, Fractional Solidification,Marcel Dekker, (Zief and Wilcox,Fractional Solidification, vol. 1, Marcel Dekker, New York, New York, 1967, p. 7. 1967, p. 31.) 20-3 20-4 ALTERNATIVE SEPARATION PROCESSES FIG. 20-2 Simple eutectic-phase diagram at constant pressure. (Zief and Wilcox,Fractional Solidification, vol. 1, Marcel Dekker, New York, 1967, p. 24.) FIG. 20-3 Progressive freezing apparatus. C is the concentration of impurity or minor component in the solid s phase, and C(cid:1)is the impurity concentration in the liquid phase. The distribution coefficient generally varies with composition. The value ofkis greater than 1 when the solute raises the melting point and less interface. This technique can be employed to concentrate an impurity than 1 when the melting point is depressed. In the regions near pure or, by repeated solidifications and liquid rejections, to produce a very AorBthe liquidus and solidus lines become linear; i.e., the distribu- pure ingot. Figure 20-3 illustrates a progressive freezing apparatus. tion coefficient becomes constant. This is the basis for the common The solidification rate and interface position are controlled by the rate assumption of constant kin many mathematical treatments of frac- of movement of the tube and the temperature of the cooling medium. tional solidification in which ultrapure materials are obtained. There are many variations of the apparatus; e.g., the residual-liquid In the case of a simple eutectic system shown in Fig. 20-2, a pure portion can be agitated and the directional freezing can be carried out solid phase is obtained by cooling if the composition of the feed mix- vertically as shown in Fig. 20-3 or horizontally (see Richman et al., in ture is not at the eutectic composition. If liquid composition is eutec- Zief and Wilcox, op. cit., p. 259). In general, there is a solute redistri- tic, then separate crystals of both species will form. In practice it is bution when a mixture of two or more components is directionally difficult to attain perfect separation of one component by crystalliza- frozen. tion of a eutectic mixture. The solid phase will always contain trace Component Separation by Progressive Freezing When the amounts of impurity because of incomplete solid-liquid separation, distribution coefficient is less than 1, the first solid which crystallizes slight solubility of the impurity in the solid phase, or volumetric inclu- contains less solute than the liquid from which it was formed. As the sions. It is difficult to generalize on which of these mechanisms is the fraction which is frozen increases, the concentration of the impurity in major cause of contamination because of analytical difficulties in the the remaining liquid is increased and hence the concentration of ultrahigh-purity range. impurity in the solid phase increases (for k<1). The concentration The distribution-coefficient concept is commonly applied to frac- gradient is reversed for k>1. Consequently, in the absence of diffu- tional solidification of eutectic systems in the ultrapure portion of the sion in the solid phase a concentration gradient is established in the phase diagram. If the quantity of impurity entrapped in the solid frozen ingot. phase for whatever reason is proportional to that contained in the One extreme of progressive freezing is equilibrium freezing. In this melt, then assumption of a constant kis valid. It should be noted that case the freezing rate must be slow enough to permit diffusion in the the theoretical yield of a component exhibiting binary eutectic behav- solid phase to eliminate the concentration gradient. When this occurs, ior is fixed by the feed composition and position of the eutectic. Also, there is no separation if the entire tube is solidified. Separation can be in contrast to the case of a solid solution, only one component can be achieved, however, by terminating the freezing before all the liquid obtained in a pure form. has been solidified. Equilibrium freezing is rarely achieved in practice There are many types of phase diagrams in addition to the two cases because the diffusion rates in the solid phase are usually negligible presented here; these are summarized in detail by Zief and Wilcox (Pfann, op. cit., p. 10). (op. cit., p. 21). Solid-liquid phase equilibria must be determined If the bulk-liquid phase is well mixed and no diffusion occurs in the experimentally for most binary and multicomponent systems. Predic- solid phase, a simple expression relating the solid-phase composition tive methods are based mostly on ideal phase behavior and have to the fraction frozen can be obtained for the case in which the distri- limited accuracy near eutectics. A predictive technique based on bution coefficient is independent of composition and fraction frozen extracting liquid-phase activity coefficients from vapor-liquidequilib- [Pfann,Trans. Am. Inst. Mech. Eng.,194,747 (1952)]. ria that is useful for estimating nonideal binary or multicomponent C =kC(1−X)k−1 (20-2) solid-liquidphase behavior has been reported by Muir (Pap. 71f, 73d s 0 ann. meet., AIChE, Chicago, 1980). C0is the solution concentration of the initial charge, and Xis the frac- tion frozen. Figure 20-4 illustrates the solute redistribution predicted by Eq. (20-2) for various values of the distribution coefficient. PROGRESSIVE FREEZING There have been many modifications of this idealized model to Progressive freezing, sometimes called normalfreezing, is the slow, account for variables such as the freezing rate and the degree of directional solidification of a melt. Basically, this involves slow solidifi- mixing in the liquid phase. For example, Burton et al. [J. Chem. Phys., cation at the bottom or sides of a vessel or tube by indirect cooling. 21,1987 (1953)] reasoned that the solid rejects solute faster than it The impurity is rejected into the liquid phase by the advancing solid can diffuse into the bulk liquid. They proposed that the effect of the CRYSTALLIZATION FROM THE MELT 20-5 because the impure fraction melts first; this process is called sweating. This technique has been applied to the purification of naphthalene andp-dichlorobenzene and commercial equipment is available from BEFS PROKEM, Houston, Tx. ZONE MELTING Zone melting also relies on the distribution of solute between the liq- uid and solid phases to effect a separation. In this case, however, one or more liquid zones are passed through the ingot. This extremely ver- satile technique, which was invented by W. G. Pfann, has been used to purify hundreds of materials. Zone melting in its simplest form is illus- trated in Fig. 20-5. A molten zone can be passed through an ingot from one end to the other by either a moving heater or by slowly draw- ing the material to be purified through a stationary heating zone. Progressive freezing can be viewed as a special case of zone melt- ing. If the zone length were equal to the ingot length and if only one pass were used, the operation would become progressive freezing. In general, however, when the zone length is only a fraction of the ingot length, zone melting possesses the advantage that a portion of the ingot does not have to be discarded after each solidification. The last portion of the ingot which is frozen in progressive freezing must be discarded before a second freezing. Component Separation by Zone Melting The degree of solute redistribution achieved by zone melting is determined by the zone length l,ingot length L,number of passes n,the degree of mix- ing in the liquid zone, and the distribution coefficient of the materials being purified. The distribution of solute after one pass can be FIG. 20-4 Curves for progressive freezing, showing solute concentration Cin obtained by material-balance considerations. This is a two-domain the solid versus fraction-solidified X.(Pfann,Zone Melting, 2d ed., Wiley, New problem; i.e., in the major portion of the ingot of length L−lzone York, 1966, p. 12.) melting occurs in the conventional sense. The trailing end of the ingot of length lundergoes progressive freezing. For the case of constant- distribution coefficient, perfect mixing in the liquid phase, and negli- freezing rate and stirring could be explained by the diffusion of solute gible diffusion in the solid phase, the solute distribution for a single through a stagnant film next to the solid interface. Their theory pass is given by Eq. (20-4) [Pfann, Trans. Am. Inst. Mech. Eng.,194, resulted in an expression for an effective distribution coefficient k 747 (1952)]. eff which could be used in Eq. (20-2) instead of k. C =C[1−(1−k)e−kx/(cid:1)] (20-4) s 0 k =(cid:5)1(cid:5) (20-3) The position of the zone xis measured from the leading edge of the eff 1+(1/k−1)e−fδ/D ingot. The distribution for multiple passes can also be calculated from a material balance, but in this case the leading edge of the zone wheref=crystal growth rate, cm/s; δ=stagnant film thickness, cm; encounters solid corresponding to the composition at the point in andD=diffusivity, cm2/s. No further attempt is made here to sum- question for the previous pass. The multiple-pass distribution has marize the various refinements of Eq. (20-2). Zief and Wilcox (op. cit., been numerically calculated (Pfann, Zone Melting,2d ed., Wiley, New p. 69) have summarized several of these models. York, 1966, p. 285) for many combinations of k, L/l,andn.Typical Pertinent Variables in Progressive Freezing The dominant solute-composition profiles are shown in Fig. 20-6 for various num- variables which affect solute redistribution are the degree of mixing in bers of passes. the liquid phase and the rate of solidification. It is important to attain The ultimate distribution after an infinite number of passes is also sufficient mixing to facilitate diffusion of the solute away from the solid- shown in Fig. 20-6 and can be calculated for x<(L−l) from the fol- liquid interface to the bulk liquid. The film thickness δdecreases as the lowing equation (Pfann, op. cit., p. 42): level of agitation increases. Cases have been reported in which essen- C =AeBX (20-5) tially no separation occurred when the liquid was not stirred. The freez- s ing rate which is controlled largely by the lowering rate of the tube (see whereAandBcan be determined from the following relations: Fig. 20-3) has a pronounced effect on the separation achieved. The sep- k=B(cid:1)/(eB(cid:1)−1) (20-6) aration is diminished as the freezing rate is increased. Also fluctuations in the freezing rate caused by mechanical vibrations and variations in A=CBL/(eBL−1) (20-7) 0 the temperature of the cooling medium can decrease the separation. Applications Progressive freezing has been applied to both solid solution and eutectic systems. As Fig. 20-4 illustrates, large separation factors can be attained when the distribution coefficient is favorable. Relatively pure materials can be obtained by removing the desired portion of the ingot. Also in some cases progressive freezing provides a convenient method of concentrating the impurities; e.g., in the case ofk<1 the last portion of the liquid that is frozen is enriched in the distributing solute. Progressive freezing has been applied on the commercial scale. For example, aluminum has been purified by continuous progressive freezing [Dewey, J. Metals,17,940 (1965)]. The Proabd refiner de- scribed by Molinari (Zief and Wilcox, op. cit., p. 393) is also a com- mercial example of progressive freezing. In this apparatus the mixture is directionally solidified on cooling tubes. Purification is achieved FIG. 20-5 Diagram of zone refining. 20-6 ALTERNATIVE SEPARATION PROCESSES oxides have been purified by zone melting. Organic materials of many types have been zone-melted. Zief and Wilcox (op. cit., p. 624) have compiled tables which give operating conditions and references for both inorganic and organic materials with melting points ranging from −115°C to over 3000°C. Some materials are so reactive that they cannot be zone-melted to a high degree of purity in a container. Floating-zone techniques in which the molten zone is held in place by its own surface tension have been developed by Keck et al. [Phys. Rev.,89,1297 (1953)]. Continuous-zone-melting apparatus has been described by Pfann (op. cit., p. 171). This technique offers the advantage of a close approach to the ultimate distribution, which is usually impractical for batch operation. Performance data have been reported by Kennedy et al. (The Purification of Inorganic and Organic Materials,Marcel Dekker, New York, 1969, p. 261) for continuous-zone refining of benzoic acid. MELT CRYSTALLIZATION FROM THE BULK Conducting crystallization inside a vertical or horizontal column with a countercurrent flow of crystals and liquid can produce a higher product purity than conventional crystallization or distillation. The working concept is to form a crystal phase from the bulk liquid, either internally or externally, and then transport the solids through a coun- tercurrent stream of enriched reflux liquid obtained from melted product. The problem in practicing this technology is the difficulty of controlling solid-phase movement. Unlike distillation, which exploits the specific-gravity differences between liquid and vapor phases, melt crystallization involves the contacting of liquid and solid phases that have nearly identical physical properties. Phase densities are fre- quently very close, and gravitational settling of the solid phase may be slow and ineffective. The challenge of designing equipment to accom- tFaIGnc.e 2 i0n- 6zonRe elleantigvteh ss oxl/u(cid:1)tef rcoomn cbeengtrinatnioinng Co/fC c0h(alorggea,r iftohrm vica rsicoaulse )n vuemrsbuesr sd ios-f ptiloisnhs ctroy satcahlliiezvaeti orne liina bal ec osloulmidn-p hhaass ere msuoltveedm inen at ,m hyirgihad p orfo cdouncfti gyuierlad- passesn. Ldenotes charge length. (Pfann,Zone Melting, 2d ed., Wiley, New and purity, and efficient heat addition and removal. York, 1966, p. 290.) Investigations Crystallization conducted inside a column is cate- gorized as either end-fedorcenter-feddepending on whether the The ultimate distribution represents the maximum separation that can feed location is upstream or downstream of the crystal forming section. be attained without cropping the ingot. Equation (20-5) is approxi- Figure 20-7 depicts the features of an end-fed commercial column mate because it does not include the effect of progressive freezing in described by McKay et al. [Chem. Eng. Prog. Symp. Ser.,no. 25, 55, 163 the last zone length. (1969)] for the separation of xylenes. Crystals of p-xylene are formed by As in progressive freezing, many refinements of these models have indirect cooling of the melt in scraped-surface heat exchangers, and the been developed. Corrections for partial liquid mixing and a variable resultant slurry is introduced into the column at the top. This type of col- distribution coefficient have been summarized in detail (Zief and umn has no mechanical internals to transport solids and instead relies Wilcox, op. cit., p. 47). upon an imposed hydraulic gradient to force the solids through the col- Pertinent Variables in Zone Melting The dominant variables umn into the melting zone. Residue liquid is removed through a filter in zone melting are the number of passes, ingot-length–zone-length directly above the melter. A pulse piston in the product discharge ratio, freezing rate, and degree of mixing in the liquid phase. Figure improves washing efficiency and column reliability. 20-6 illustrates the increased solute redistribution that occurs as the number of passes increases. Ingot-length–zone-length ratios of 4 to 10 are commonly used (Zief and Wilcox, op. cit., p. 624). An exception is encountered when one pass is used. In this case the zone length should be equal to the ingot length; i.e., progressive freezing provides the maximum separation when only one pass is used. The freezing rate and degree of mixing have effects in solute redis- tribution similar to those discussed for progressive freezing. Zone travel rates of 1 cm/h for organic systems, 2.5 cm/h for metals, and 20 cm/h for semiconductors are common. In addition to the zone- travel rate the heating conditions affect the freezing rate. A detailed summary of heating and cooling methods for zone melting has been outlined by Zief and Wilcox (op. cit., p. 192). Direct mixing of the liq- uid region is more difficult for zone melting than progressive freezing. Mechanical stirring complicates the apparatus and increases the prob- ability of contamination from an outside source. Some mixing occurs because of natural convection. Methods have been developed to stir the zone magnetically by utilizing the interaction of a current and magnetic field (Pfann, op. cit., p. 104) for cases in which the charge material is a reasonably good conductor. Applications Zone melting has been used to purify hundreds of inorganic and organic materials. Many classes of inorganic compounds including semiconductors, intermetallic compounds, ionic salts, and FIG. 20-7 End-fed column crystallizer. (Phillips Petroleum Co.) CRYSTALLIZATION FROM THE MELT 20-7 TABLE 20-3 Comparison of Melt-Crystallizer Performance Center-fed column End-fed column Solid phase is formed internally; Solid phase is formed in external thus, only liquid streams enter equipment and fed as slurry into and exit the column. the purifier. Internal reflux can be controlled The maximum internal liquid reflux without affecting product yield. is fixed by the thermodynamic state of the feed relative to the product stream. Excessive reflux will diminish product yield. Operation can be continuous or Total reflux operation is not feasible. batchwise at total reflux. Center-fed columns can be adapted End-fed columns are inefficient for both eutectic and solid- for separation of solid-solution solution systems. systems. FIG. 20-8 Horizontal center-fed column crystallizer. (The C. W. Nofsinger Co.) Either low- or high-porosity- End-fed units are characterized by solids-phase concentrations can low-porosity-solids packing in the be formed in the purification purification and melting zones. Figure 20-8 shows the features of a horizontal center-fed column and melting zones. [Brodie,Aust. Mech. Chem. Eng. Trans.,37(May 1979)] which has been commercialized for continuous purification of naphthalene and Scale-up depends on the mechanical Scale-up is limited by design of complexity of the crystal-transport melter and/or crystal-washing p-dichlorobenzene. Liquid feed enters the column betweenthe hot system and techniques for removing section. Vertical or horizontal purifying section and the cold freezing or recovery zone. Crystals are heat. Vertical oscillating spiral columns of several meters in formed internally by indirect cooling of the melt through the walls of columns are likely limited to about diameter are possible. the refining and recovery zones. Residue liquid that has been 0.2 m in diameter, whereas depleted of product exits from the coldest section of the column. A horizontal columns of several spiral conveyor controls the transport of solids through the unit. meters are possible. Another center-fed design that has only been used on a preparative scale is the vertical spiral conveyor column reported by Schildknecht [Angew. Chem.,73,612 (1961)]. In this device, a version of which is impure liquor; the purification zone, where countercurrent contacting shown on Fig. 20-9, the dispersed-crystal phase is formed in the freez- of solids and liquid occurs; and the crystal-melting and -refluxing sec- ing section and conveyed downward in a controlled manner by a rotat- tion. Feed position separates the refining and recovery portions of the ing spiral with or without a vertical oscillation. purification zone. The section between feed location and melter is Differences have been observed in the performance of end- and referred to as the refining or enrichment section, whereas the section center-fed column configurations. Consequently, discussions of center- between feed addition and freezing is called the recovery section. The and end-fed column crystallizers are presented separately. The design refining section may have provisions for sidewall cooling. The pub- and operation of both columns are reviewed by Powers (Zief and lished literature on column crystallizers connotes stripping and refin- Wilcox, op. cit., p. 343). A comparison of these devices is shown on ing in a reverse sense to distillation terminology, since refined product Table 20-3. from a melt crystallizer exits at the hot section of the column rather Center-Fed Column Crystallizers Two types of center-fed col- than at the cold end as in a distillation column. umn crystallizers are illustrated on Figs. 20-8 and 20-9. As in a simple Rate processes that describe the purification mechanisms in a col- distillation column, these devices are composed of three distinct sec- umn crystallizer are highly complex since phase transition and heat- tions: a freezing or recovery section, where solute is frozen from the and mass-transfer processes occur simultaneously. Nucleation and growth of a crystalline solid phase along with crystal washing and crys- tal melting are occurring in various zones of the apparatus. Column hydrodynamics are also difficult to describe. Liquid- and solid-phase mixing patterns are influenced by factors such as solids-transport mechanism, column orientation, and, particularly for dilute slurries, the settling characteristics of the solids. Most investigators have focused their attention on a differential segment of the zone between the feed injection and the crystal melter. Analysis of crystal formation and growth in the recovery section has received scant attention. Table 20-4 summarizes the scope of the lit- erature treatment for center-fed columns for both solid-solution and eutectic forming systems. The dominant mechanism of purification for column crystallization of solid-solution systems is recrystallization. The rate of mass transfer resulting from recrystallization is related to the concentrations of the solid phase and free liquid which are in intimate contact. A model based on height-of-transfer-unit (HTU) concepts representing the composition profile in the purification section for the high-melting component of a binary solid-solution system has been reported by Powers et al. (in Zief and Wilcox, op. cit., p. 363) for total-reflux oper- ation. Typical data for the purification of a solid-solution system, azobenzene-stilbene, are shown in Fig. 20-10. The column crystallizer was operated at total reflux. The solid line through the data was com- puted by Powers et al. (op. cit., p. 364) by using an experimental HTU FIG. 20-9 Center-fed column crystallizer with a spiral-type conveyor. value of 3.3 cm.