Determination of nucleation, growth, agglomeration and disruption kinetics from experimental precipitation data: the calcium oxalate system

Abstract The precipitation kinetics of calcium oxalate CaC 2 O 4 are studied at the laboratory scale using a 300 ml draft tube baffled (DTB) precipitation reactor. The vessel which is operated continuously at 37°C at different residence times, feed concentrations, stirrer speeds and with feed point locations inside and outside the draft tube. A new procedure is introduced to solve the inverse problem and determine the kinetic parameters for nucleation, growth, and agglomeration disruption from the particle size distribution. Crystal growth rates indicate a surface-integration-controlled mechanism with a second-order dependence on absolute supersaturation, while the nucleation rates are dependent on the power input and the feed point position, and therefore suggest a mixing-controlled nucleation process. The disruption rates obtained account for breakage due to both particle splitting and attrition, and increase linearly with power input. The agglomeration rates, in contrast, exhibit a maximum with increasing power inputs. Thus, it is inferred that both decreased agglomeration efficiency and increased breakage lead to a decrease in the number of agglomerates observed at higher stirrer speeds.

[1]  Ka Ming Ng,et al.  New discretization procedure for the breakage equation , 1995 .

[2]  G. Low Agglomeration effects in aluminium trihydroxide precipitation , 1975 .

[3]  J. Garside,et al.  Transformation of calcium oxalate hydrates , 1986 .

[4]  Charles M. Brown,et al.  Nucleation of calcium oxalate monohydrate: use of turbidity measurements and computer-assisted simulations in characterizing early events in crystal formation☆ , 1991 .

[5]  M. Smoluchowski,et al.  Drei Vorträge über Diffusion, Brownsche Molekularbewegung und Koagulation von Kolloidteilchen , 1927 .

[6]  Doraiswami Ramkrishna,et al.  An inverse problem in agglomeration kinetics , 1986 .

[7]  Ka Ming Ng,et al.  Statistics of multiple particle breakage , 1996 .

[8]  J. Garside,et al.  Factors influencing the distribution of hydrates in calcium oxalate precipitation , 1989 .

[9]  Michael J. Hounslow,et al.  Aggregation during precipitation from solution. Kinetics for calcium oxalate monohydrate , 1997 .

[10]  Michael J. Hounslow,et al.  Aggregation during Precipitation from Solution: A Method for Extracting Rates from Experimental Data , 1996 .

[11]  D. Ramkrishna,et al.  On the solution of population balance equations by discretization—II. A moving pivot technique , 1996 .

[12]  P. Ayazi Shamlou,et al.  Crystal break-up in dilute turbulently agitated suspensions , 1993 .

[13]  William R. Paterson,et al.  Orthokinetic Aggregation During Precipitation: A Computational Model for Calcium Oxalate Monohydrate , 1997 .

[14]  G. H. Nancollas,et al.  The kinetics of dissolution of calcium oxalate hydrates. II. The dihydrate. , 1979, Investigative urology.

[15]  G. H. Nancollas,et al.  Kinetics of dissolution of calcium oxalate monohydrate , 1975 .

[16]  Michael J. Hounslow,et al.  Growth and aggregation rates for calcite and calcium oxalate monohydrate , 1999 .

[17]  M. Smoluchowski,et al.  Drei Vortrage uber Diffusion, Brownsche Bewegung und Koagulation von Kolloidteilchen , 1916 .

[18]  Kavanagh Jp Methods for the study of calcium oxalate crystallisation and their application to urolithiasis research. , 1992 .

[19]  G. H. Nancollas,et al.  Kinetics of crystal growth of calcium oxalate monohydrate , 1974 .

[20]  A. E. Nielsen,et al.  Electrolyte crystal growth kinetics , 1984 .

[21]  M. Hounslow A discretized population balance for continuous systems at steady state , 1990 .

[22]  P. Adler Heterocoagulation in shear flow , 1981 .

[23]  Alan Jones,et al.  Particle disruption of precipitated CaCO3 crystal agglomerates in turbulently agitated suspensions , 1998 .

[24]  Alan Jones,et al.  Experimental investigation into dynamics and stability of continuous MSMPR agglomerative precipitation of CaCO3 crystals , 1997 .

[25]  G. H. Nancollas,et al.  Interactions in Electrolyte Solutions , 1966 .

[26]  J. Mullin,et al.  The effect of temperature on the precipitation of calcium oxalate , 1982 .