Correlation between the crystal size and crystal growth rate of KDP and Rochelle salt crystals

Mitrovic, Milan; Žekić, Andrijana; Napijalo, M.M.

doi:10.1016/s0022-0248(00)00423-1

Cited by 11 publications

(7 citation statements)

References 14 publications

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“…Near the inlet point the amount of the precipitated crystals was higher as the initial SR value increased. This finding is consistent with the results obtained in 1-D porous media and with similar data for 2-D porous media given in the literature. ,,,,, The crystal growth rates were found to depend on the temperature. Increasing temperature of the supersaturated solutions resulted in higher CaCO 3 growth rates.…”

Section: Discussionmentioning

confidence: 99%

“…Observations of scale evolution in glass micromodels have been extensively utilized for the investigation of multiphase flow phenomena in porous media, ,,, of their effects on colloids, and for the investigation of the mechanisms responsible for biomass plugging , or scale formation in porous media. ,,, The latter works provided useful information for the kinetics of calcium carbonate and calcium sulfate precipitation using observations from glass micromodels. The model pore networks used in the present work included a 1-D flow medium made of Plexiglas and a transparent 2-D glass flow pore network.…”

Section: Introductionmentioning

confidence: 99%

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Experimental Investigation of Calcium Carbonate Precipitation and Crystal Growth in One- and Two-Dimensional Porous Media

Jaho

Athanasakou

Sygouni

et al. 2015

Crystal Growth & Design

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Visualization experiments using one-dimensional (1-D) porous media made of Plexiglas and two-dimensional glass porous networks were conducted to obtain qualitative and quantitative information concerning the precipitation and crystal growth of CaCO3 under varying flow and concentration conditions. Supersaturated solutions were prepared by mixing sodium bicarbonate and calcium chloride solutions before the pore networks. Nucleation and crystal growth were assumed to occur within the porous media. Changes in the initial and final solution composition were monitored. At low initial supersaturation values (SRinitial), a few crystals were observed within the flow channels and crystal growth took place exclusively on the newly formed crystals. As the SRinitial increased, more crystals were formed along the flow channels and new crystallites were continuously formed during the course of the experiments. Nucleation and crystal growth were not uniform. The crystal growth rates depended on the initial value of SR and flow path inside the medium. Porosity for the 2-D networks decreased when the SRinitial was high or when calcite-cemented sand was used as substrate.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Experimental Investigation of Calcium Carbonate Precipitation and Crystal Growth in One- and Two-Dimensional Porous Media

Jaho

Athanasakou

Sygouni

et al. 2015

Crystal Growth & Design

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“…Numerous authors have proposed several purely empirical models for size-dependent growth kinetics that anticipated an increase in growth rate with increasing crystal size. − …”

Section: Introductionmentioning

confidence: 99%

Long-Time Growth Rate Changes of Sodium Chlorate, Potassium Dihydrogen Phosphate, and Rochelle Salt Crystals Independent of Growth Conditions

Žekić

Mitrovic

Elezović-Hadžić

et al. 2011

Ind. Eng. Chem. Res.

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Results of investigations of the changes in growth rate inherent to crystals (i.e., independent of macroscopic external conditions) during a 15-h growth period are presented. The results of the investigations regarding the time evolution of the growth rate dispersion are also presented. The majority of the investigations were carried out with sodium chlorate crystals, and several experiments were carried out with potassium dihydrogen phosphate (KDP) and Rochelle salt crystals. It was found that, for the majority of the crystals, the main changes in growth rate occurred in the initial growth stage, which extended to for up 4 h. These growth rates probably slowly decrease toward the end of the growth run. Some of the very high initial growth rates that decreased during the initial growth period were followed by relatively high intermediate growth rates for the next few hours and then subsequently decreased. The growth rates for the majority of crystals probably gradually decreased after 15 h of growth. The results obtained show that these changes, which have not previously been taken into account, should be included in the interpretation of growth rate changes affected by various parameters (supersaturation, temperature, fields, stress, impurities, etc.). The obtained results could improve the current crystal growth theories, which are based on the design of specific growth conditions that result in a target product.

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“…1 are frequently made to account for the effect of crystal size on the growth rates. Some of the correlations used were previously reviewed in the works of Abegg et al [5], Mitrovic et al [6] and White et al [7]. According to Mitrovic et al [6], there is no reason for using complex relations between growth rate and crystal size since this dependence is, in general, linear.…”

Section: Introductionmentioning

confidence: 99%

“…Some of the correlations used were previously reviewed in the works of Abegg et al [5], Mitrovic et al [6] and White et al [7]. According to Mitrovic et al [6], there is no reason for using complex relations between growth rate and crystal size since this dependence is, in general, linear. Based on fundamental arguments supporting this linearity, Martins and Rocha proposed the crystal growth rates to be expressed in terms of mass deposition rate ( m t Δ Δ ) per unit of crystal volume (V) [8],…”

Section: Introductionmentioning

confidence: 99%

Kinetic studies on the influence of temperature and growth rate history on crystal growth

Martins

Rocha

2008

Cryst. Res. Technol.

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Crystallization experiments of sucrose were performed in a batch crystallizer to study the effect of temperature and growth rate history on the crystal growth kinetics. In one of the growth methods adopted, the isothermal volumetric growth rate (R V ) is determined as a function of supersaturation (S) at 35, 40 and 45 ºC. In the other, crystals are allowed to grow at constant supersaturation by automatically controlling the solution temperature as the solute concentration decreased. Using the latter method R V is calculated as the solution is cooled. The obtained results are interpreted using empirical, engineering and fundamental perspectives of crystal growth. Firstly, the overall activation energy (E A ) is determined from the empirical growth constants obtained in the isothermal method. The concept of falsified kinetics, widely used in chemical reaction engineering, is then extended to the crystal growth of sucrose in order to estimate the true activation energy (E T ) from the diffusion-affected constant, E A . The differences found in the isothermal and constant supersaturation methods are explained from the viewpoint of the spiral nucleation mechanism, taking into account different crystal surface properties caused by the growth rate history in each method. Finally, the crystal growth curve obtained in the batch crystallizer at 40 ºC is compared with the one obtained in a fluidized bed crystallizer at the same temperature. Apparently divergent results are explained by the effects of crystal size, hydrodynamic conditions and growth rate history on the crystallization kinetics of sucrose.

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Correlation between the crystal size and crystal growth rate of KDP and Rochelle salt crystals

Cited by 11 publications

References 14 publications

Experimental Investigation of Calcium Carbonate Precipitation and Crystal Growth in One- and Two-Dimensional Porous Media

Experimental Investigation of Calcium Carbonate Precipitation and Crystal Growth in One- and Two-Dimensional Porous Media

Long-Time Growth Rate Changes of Sodium Chlorate, Potassium Dihydrogen Phosphate, and Rochelle Salt Crystals Independent of Growth Conditions

Kinetic studies on the influence of temperature and growth rate history on crystal growth

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