Gas Extraction. G. Brunner. Steinkopff Darmstadt Springer New York

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1 G. Brunner Gas Extraction An Introduction to Fundamentals of Supercritical Fluids and the Application to Separation Processes Bibliothek Fachbereich Chemie Technische Universitat Darmstadt Steinkopff Darmstadt Springer New York

2 Contents Preface Introduction 2 Properties of Supercritical and Near-Critical Gases and of Mixtures with Sub- and Supercritical Components What is a Supercritical Gas? Density (PVT Behavior) Pure Components Principle of Corresponding States Analytical Equations of State Correlations for Pure-Component Parameters Thermodynamic Properties Transport Properties Viscosity Influence of Pressure on the Viscosity of Gases Nonpolar Gases Polar Gases...' Mixtures of Gases Liquids : Viscosity of Systems with Supercritical Fluids Thermal Conductivity Gases Liquids Diffusion Coefficient Gases Diffusion in Dense Fluids Surface Tension 52 References 55 VII

3 3 Supercritical Gases as Solvents: Phase Equilibria The Need for Phase Equilibria Solubility in Supercritical Solvents Phase Equilibrium in Binary Systems Gas-liquid Equilibria of Systems, Completely Miscible in the Liquid Phase The Critical Curve of Mixtures Systems with Miscibility Gaps in the Condensed Phase Phenomenology of Binary Gas-Liquid Systems Phase Equilibria of Ternary Systems Phenomenology of Ternary Systems The Effect of a Modifier or Entrainer on Solvent Power, Selectivity, and their Pressure and Temperature Dependence Phase Equilibria of Quaternary Systems Multicomponent and Complex Systems Phase Behavior of Complex Mixtures Lumping and Pseudo-Components Experimental Determination of Phase Equilibria for Gas Extraction Systems General Remarks on Measuring Phase Equilibrium The Static Analytical Method The Synthetic Method The Dynamic Method What is the Best Method? Accuracy of the Measurements Correlation and Calculation of Phase Equilibria and Solubilities in Binary and Multicomponent Systems Basic Equations Equations of State for Mixtures Predictive Calculations Examples for Phase Equilibrium Calculations 137 References Heat and Mass Transfer HeatTransfer Conductive HeatTransfer Heat Transfer by Convection Boiling Dimensionless Correlations for Heat Transfer Including Boiling VIII

4 4.1.5 Reductive Parameters for Dimensionless Correlations Mass Transfer Influence of Pressure and Gravity Solid-gas Systems Liquid-gas Systems 162 References Solvent cycle Gas Circuit in the Compressor Mode Solvent Circuit in the Pumping Mode Comparison of Compressor and Pump Cycle 173 References The Separation of Solvent and Dissolved Substances: Methods for Precipitation Separation by Reduced Solvent Power Reducing Pressure and Increasing Temperature Separation by Expansion into the Two-Phase Region of the Supercritical Solvent Separation of Phases: Improved Separation by Cyclones Separation of Extract and Solvent by a Mass Separating Agent Separation by Absorption Separation by Adsorption Separation by Membranes Separation by Adding a Substance of Low Solvent Power. 178 References Extraction of Substances with Supercritical Fluids from Solid Substrates Introduction The Extraction Process 180 IX

5 7.2.1 General Description of the Extraction Process and an Extraction Plant Mechanisms of Transport in the Solid Phase Course of the Extraction of Substances from Solids with Supercritical Solvents Total Amount of Extract Extraction Rate Remaining Amount of Extract in the Solid Concentration of the Extract in the Supercritical Solvent Influence of Process Parameters and the Condition of the Solid Substrate on the Extracting Process Modeling the Extraction Basic Considerations Steady State Approximation of the Extraction from Solids More Complex Models for the Extraction from Solids: The One-Dimensional Dispersion - Single Particle Model Particle Model Coupling Condition between Fluid Phase Model and Particle Model Dimensionless Groups Some Aspects for Modeling the Fluid Phase Hydrodynamic Behavior and Axial Dispersion Model without Axial Dispersion Some Aspects for Modeling the Solid Phase Concentration Gradients in Fixed Bed of Particles Determination of the Effective Diffusion Coefficient Modeling the Extraction by Means of Special Solutions of Fick's Second Law Simplification of the Mass Balance for the Solid Phase The VTII-Model for the Extraction from Solids Using Supercritical Solvents Examples Extraction of Theobromine from Cocoa Seed Shells Extraction of Oil from Oil Seeds Comparison of Extracts from Liquid Extraction and Extraction with Supercritical Carbon Dioxide Solids in Multiple Stages and Countercurrent Operation in Gas Extraction from Solids Laboratory and Pilot Plant Equipment General Considerations Screening Unit Laboratory Extraction Plant, Small Extraction Volume Laboratory Extraction Plant, Large Extraction Volume Pilot Plant 247 References 248 X

6 8 Countercurrent Multistage Extraction ' : Basic Considerations Countercurrent Processing The Extraction Process Design Considerations and Basic Equations Some Additional Considerations Modeling Countercurrent Gas Extraction The Concept of Equilibrium or Theoretical Stages General Equations Reduction of Multicomponent and Complex Mixtures to Equivalent Binary, Ternary or Quaternary Systems Number of Theoretical Stages for a Binary or Equivalent Binary System Analysis of Countercurrent Gas Extraction According to the McCabe-Thiele Method Determination of Operating Lines Determination of Theoretical Stages Limiting Operating Conditions for the Amount of Countercurrent Flows Consideration of Equilibrium Data Analysis with the KSB-Equations Including the Supercritical Solvent into the Analysis of the Separation Process Ponchon-Savarit Method for an Equivalent Ternary System The NTU-HTU Method Analysis of Countercurrent Gas Extraction The Separation of Fatty Acids According to Chain Length and Saturation Background Feed Analytical Conditions Phase Equilibria Selection of Process Conditions Results of Separation Experiments Analysis of the Separation Tocopherols Background Feed Mixture (Initial System of Components) Analytical Conditions Phase Equilibria Reduction of Number of Components, Selection of Key Components, Separation Sequence and Process Conditions Results of Separation Experiments 297 XI

7 8.5 Countercurrent Gas Extraction with a Co-Solvent Basic Considerations Countercurrent Gas Extraction with a Co-Solvent as Quasi-ternary Mixture Laboratory Plants and Equipment Laboratory Plant Laboratory Plant References Chromatography with Supercritical Fluids (Supercritical Fluid Chromatography, SFC) Chromatographic Fundamentals Chromatography as Separation Process Mode of Operation of Chromatographic Separations The Mobile Phase Scale of Chromatographic Separations Methods for Scaling up Chromatography Practical Verification of SFC Description of an SFC: General Design Injection Techniques Columns Detectors Expansion of the Mobile Phase and Sample Collecting System Theoretical Description of SFC with Special Consideration of Scale-up Fundamental Thermodynamic Equations Number of Theoretical Stages in Chromatographic Separations Theories for Scale-up Supercritical Fluid Chromatography (SFC) on a Preparative Scale: Two Examples General Approach Separation of Prostaglandins Separation of Tocopherols On-line Analysis with SFC 377 References Conclusion 383 Subject Index 385 XII

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