MODELING OF LIQUID-LIQUID EXTRACTION COLUMN: A REVIEW

Mathematical models are reviewed for different types of commonly used extraction columns, viz. pulsed sieve plate column, rotating disc contactor, Kuhni column, spray column, Scheibel extractor, packed column, Oldshue-Rushton contactor and reciprocating plate column. In addition, numerical techniques, process simulators and some estimation methods for model parameters have also been included. The review cites over 120 references.

[1]  Mathematical modeling and steady-state analysis of a Scheibel extraction column , 1995 .

[2]  T. Míšek Back-mixing in full-scale ARD and RDC extractors , 1975 .

[3]  Lawrence L. Tavlarides,et al.  Description of interaction processes in agitated liquid-liquid dispersions , 1977 .

[4]  A. Vogelpohl,et al.  Simulation of fluid dynamics in a pulsed sieve plate column , 1987 .

[5]  M. J. Slater,et al.  Liquid-liquid extraction equipment , 1994 .

[6]  Gilbert Casamatta,et al.  Simulation of hydrodynamics and mass transfer of disks and rings pulsed column , 1988 .

[7]  S. Hartland,et al.  Prediction of dispersed phase hold-up in rotating disc extractors , 1987 .

[8]  J. C. Godfrey,et al.  Single liquid drop breakage probabilities and characteristic velocities in Kühni columns , 1995 .

[9]  P. Calderbank,et al.  Mass transfer in the continuous phase around axisymmetric bodies of revolution , 1964 .

[10]  D. Ramkrishna The Status of Population Balances , 1985 .

[11]  C. R. Phillips,et al.  Liquid-Liquid Extraction with Interphase Chemical Reaction in Agitated Columns. 1. Mathematical Models , 1980 .

[12]  A. Vogelpohl,et al.  Hydrodynamics, axial mixing and mass transfer in open turbine rotating disc contactor (OTRDC) , 1991 .

[13]  S. Hartland,et al.  Prediction of drop size in rotating disc extractors , 1986 .

[15]  Paul D. Babcock,et al.  General Equation Modeling Systems (GEMS)- a mathematical simulation language , 1981 .

[16]  N. F. Brannock,et al.  PROCESSSM Simulation Program a comprehensive flowsheeting tool for chemical engineers , 1979 .

[17]  R. E. Treybal Mass-Transfer Operations , 1955 .

[18]  J. Hamilton,et al.  Droplet coalescence and breakage rates in a packed liquid extraction column , 1984 .

[19]  Costas Tsouris,et al.  Breakage and coalescence models for drops in turbulent dispersions , 1994 .

[20]  M. Moo-young,et al.  The continuous phase heat and mass transfer properties of dispersions , 1961 .

[21]  B. Gal-or,et al.  Convective mass or heat transfer from size-distributed drops, bubbles or solid particles , 1971 .

[22]  Yong Kuk Lee,et al.  Drop size distribution and holdup in a rotating impeller extraction column , 1991 .

[23]  S. Hartland,et al.  Prediction of dispersed phase hold-up in pulsed perforated-plate extraction columns , 1988 .

[24]  H. Risken The Fokker-Planck equation : methods of solution and applications , 1985 .

[25]  Wolfgang Marquardt,et al.  Tools for dynamic process simulation and their application , 1988 .

[26]  R. A. Mugele,et al.  Droplet Size Distribution in Sprays , 1951 .

[27]  Eckhart Blaß,et al.  Dynamic behaviour and simulation of a liquid‐liquid extraction column , 1991 .

[28]  N. L. Ricker,et al.  An efficient, general method for computation of countercurrent separation processes with axial dispersion , 1981 .

[29]  G. Casamatta,et al.  Modelling of fluid dynamics and mass transfer in extraction columns , 1985 .

[30]  Ladislav Steiner Drop Population Balance – Werkzeug oder Flop?† , 1996 .

[31]  S. Hartland,et al.  A Unified Correlation for the Prediction of Dispersed-Phase Hold-Up in Liquid-Liquid Extraction Columns , 1995 .

[32]  L. Steiner Mass-transfer rates from single drops and drop swarms , 1986 .

[33]  Yu Qian,et al.  Modelling of mass transfer in extraction columns with drop forward-mixing and coalescence-redispersion , 1992 .

[34]  S. Hartland,et al.  Prediction of axial mixing coefficients in rotating disc and asymmetric rotating disc extraction columns , 1992 .

[35]  T. Miyauchi,et al.  Longitudinal dispersion in pulsed perforated-plate columns , 1965 .

[36]  Aage Fredenslund,et al.  Group‐contribution estimation of activity coefficients in nonideal liquid mixtures , 1975 .

[37]  S. Hartland,et al.  PREDICTION OF DROP SIZE IN PULSED PERFORATED-PLATE EXTRACTION COLUMNS , 1986 .

[38]  Wolfgang Marquardt,et al.  DIVA—an open architecture for dynamic simulation , 1990 .

[39]  L. Steiner,et al.  MODELS FOR PERFORMANCE OF EXTRACTION COLUMNS BASED ON ACTUAL DROP BEHAVIOUR , 1984 .

[40]  H. Pratt,et al.  Measurement and modelling of droplet coalescence and breakage in a pulsed‐plate extraction column , 1984 .

[41]  G. S. Laddha,et al.  Hydrodynamics and mass transport in rotary disk contactors , 1978 .

[42]  Y. C. Zhou,et al.  A model for liquid‐liquid extraction column performance — The influence of drop size distribution on extraction efficiency , 1985 .

[43]  M. Chidambaram,et al.  SIMULATION OF LIQUID-LIQUID EXTRACTORS , 1990 .

[44]  P. M. Heertjes,et al.  Mass transfer between isobutanol and water in a spray-column , 1954 .

[45]  Michael L. Michelsen,et al.  Application of semi-implicit Runge—Kutta methods for integration of ordinary and partial differential equations , 1977 .

[46]  A. Karr,et al.  Axial mixing and scaleup of reciprocating plate columns , 1987 .

[47]  S. Hartland,et al.  Unified Correlations for the Prediction of Drop Size in Liquid−Liquid Extraction Columns , 1996 .

[48]  A. F. Seibert,et al.  Hydrodynamics and mass transfer in spray and packed liquid-liquid extraction columns , 1988 .

[49]  Rafiqul Gani,et al.  A liquid-liquid extractor model based on UNIFAC , 1984 .

[50]  Single liquid drop velocities and breakage mechanism in sections of structured packings , 1995 .

[51]  S. Hartland,et al.  Effect of physical properties and dispersed-phase velocity on the size of drops produced at a multi-nozzle distributor , 1986 .

[52]  C. R. Phillips,et al.  Characterization of hydrodynamic parameters in rotating disc and oldshue-rushton columns. Hydrodynamic modelling, drop size, hold-up and flooding , 1985 .

[53]  M. Baird,et al.  A model for axial mixing in reciprocating plate columns , 1990 .

[54]  W. Zulehner,et al.  Numerical simulation of extraction columns using a drop population model , 1995 .

[55]  Michael L. Michelsen,et al.  An efficient general purpose method for the intergration of stiff ordinary differential equations , 1976 .

[56]  Lígia Maria Ribeiro,et al.  The dynamic behaviour of liquid-liquid agitated dispersions—I. The hydrodynamics , 1995 .

[57]  S. Hartland,et al.  Independent prediction of slip velocity and hold-up in liquid/liquid extraction columns , 1989 .

[58]  Chaoyang Wang,et al.  Drop size distribution and holdup profiles in a multistage extraction column , 1994 .

[59]  C. Sleicher,et al.  Entrainment and extraction efficiency of mixer‐settlers , 1960 .

[60]  C. Sleicher,et al.  Axial mixing and extraction efficiency , 1959 .

[61]  E. Blass,et al.  Three‐component mass transfer in liquid‐liquid extraction with the system glycerol‐acetone‐water. Part 2: Calculation and experimental investigation of three‐component mass transfer in a countercurrent extraction column , 1991 .

[62]  John D. Thornton,et al.  Science and practice of liquid-liquid extraction , 1991 .

[63]  Ladislav Steiner,et al.  Neues zur mathematischen Modellierung von Flüssig/Flüssig‐Extraktionskolonnen , 1983 .

[64]  Thomas Baron,et al.  Mass and heat transfer from drops in liquid‐liquid extraction , 1957 .

[65]  M. Slater,et al.  Mass transfer from single drops in rotating disc, pulsed sieve plate and packed liquid-liquid extraction columns , 1990 .

[66]  W. J. Korchinsky,et al.  Drop breakage in counter current flow liquid-liquid extraction columns , 1981 .

[67]  S. H. Zhang,et al.  Hydrodynamicst axial mixing and mass transfer in rotating disk contactors , 1981 .

[68]  M. Baird,et al.  Flooding and axial dispersion in reciprocating plate extraction columns , 1979 .

[69]  W. J. Korchinsky,et al.  An improved stagewise model of countercurrent flow liquid—liquid contactors , 1976 .

[70]  E. Blass,et al.  Three-component mass transfer in liquid-liquid extraction with the system glycerol-acetone-water. Part 1: The influence of vanishing diffusion coefficients in binodal states on the mechanisms of mass transfer† , 1991 .

[71]  Steady state hydrodynamics and mass transfer characteristics of a karr extraction column , 1989 .

[72]  Gilbert Casamatta,et al.  Dynamic and steady-state simulation of hydrodynamics and mass transfer in liquid—liquid extraction column , 1989 .

[73]  Simulation of the transient behaviour of a stirred liquid/liquid extraction column , 1996 .

[74]  P. V. Danckwerts Significance of Liquid-Film Coefficients in Gas Absorption , 1951 .

[75]  R. C. Kintner,et al.  Mass transfer from large oscillating drops , 1966 .

[76]  Alberto M. Sereno,et al.  Dynamic simulation of liquid-liquid operations using simple non-linear models , 1987 .

[77]  W. J. Korchinsky,et al.  Exact solutions of the Newman, and of the handlos-baron, model equations for countercurrent flow extraction , 1983 .

[78]  Martin Henschke,et al.  Simulation einer pulsierten Füllkörperextraktionskolonne , 1996 .

[79]  A. Vogelpohl,et al.  A simplified hydrodynamic model for a pulsed sieve-plate extraction column , 1997 .