Simulation Model for Ostwald Ripening in Liquids

Parbhakar, K.; Lewandowski, J. L. V.; Dao, Lê H.

doi:10.1006/jcis.1995.1375

Cited by 14 publications

(9 citation statements)

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“…A growth law which correctly describes such processes has to be size dependent, but its expression depends upon the rate limiting process: diffusion in the liquid or the gaseous phase, continuous interfacial effects, two-dimensional nucleation on flat faces, spiral growth [24][25][26][27][28]. In the following, we will assume that the size evolution is controlled by a continuous interfacial growth-dissolution mechanism, valid in a large range of supersaturation values and when the particle surface is rough at the atomic scale, so that all its surface sites are available for incorporation of growth units.…”

Section: Growthmentioning

confidence: 99%

Nucleation, growth and ageing scenarios in closed systems I: A unified mathematical framework for precipitation, condensation and crystallization

Noguera¹,

Fritz²,

Clément³

et al. 2006

Journal of Crystal Growth

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Section: Growthmentioning

confidence: 99%

Nucleation, growth and ageing scenarios in closed systems I: A unified mathematical framework for precipitation, condensation and crystallization

Noguera¹,

Fritz²,

Clément³

et al. 2006

Journal of Crystal Growth

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“…In our model the concentration of molecules is arbitrary. For a detailed description of Ostwald ripening we refer the reader to our recent publication …”

Section: Resultsmentioning

confidence: 99%

“…Now eq 9 can be solved for N , giving where we have introduced the critical population x c (corresponding to the population of droplet of critical radius) as the lower limit. This is justified because the droplets with radius smaller than the critical radius disappear due to Ostwald ripening . We now proceed to solve the nonseparable part of the solution and assume where x 0 ( t ) represent the average population of the particles in a droplet or cluster.…”

Section: Resultsmentioning

confidence: 99%

Effect of Microgravity on the Distribution of Liquid-Crystal Droplets Dispersed in a Polymer Matrix

et al. 1996

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The average droplet size and their distribution in polymer-dispersed liquid-crystal (PDLC) materials, prepared under microgravity and terrestrial environments, are studied experimentally as a function of cure time. The PDLC films are prepared using a polymerization-induced phase-separation (PIPS) technique. A theoretical kinetic model, based on the birth-death type of differential equation, is developed. (This amounts to ignoring the coalescence produced by hydrodynamic motion.) Two important observations are reported in this study. The first, we found that microgravity plays a decisive role in establishing a Gaussian distribution of the liquid-crystal droplets which is in good agreement with theory. This behavior is maintained even if the droplets are allowed to grow substantially under terrestrial conditions provided the final stages of growth takes place under microgravity environment. The growth under microgravity conditions is diffusion dominated with an estimated effective spatial diffusion coefficient D = 3.78 × 10-12 cm2 s-1, which seems appropriate for polymer matrix systems with high viscosities. The second result shows that the average particle size grows faster than the theoretically predicted t 1/3 dependence. We believe that the coalescence processes that take place during the growth of droplets at 1 g during the cure time are responsible for this deviation.

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“…Among the various processes which may occur (diffusion in the aqueous solution, interfacial reactions, two-dimensional nucleation on flat surfaces, spiral growth, aggregation), diffusion in the aqueous solution and interfacial reactions are the most probable, over a large range of supersaturation values (Burton et al, 1951;Baronnet, 1984;Parbhakar et al, 1995). If growth is limited by interfacial reactions, the rate equation reads:…”

Section: Growthmentioning

confidence: 99%

Simulation of the nucleation and growth of clay minerals coupled with cation exchange

Noguera

Fritz

Clément

2011

Geochimica et Cosmochimica Acta

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Simulation Model for Ostwald Ripening in Liquids

Cited by 14 publications

References 0 publications

Nucleation, growth and ageing scenarios in closed systems I: A unified mathematical framework for precipitation, condensation and crystallization

Nucleation, growth and ageing scenarios in closed systems I: A unified mathematical framework for precipitation, condensation and crystallization

Effect of Microgravity on the Distribution of Liquid-Crystal Droplets Dispersed in a Polymer Matrix

Simulation of the nucleation and growth of clay minerals coupled with cation exchange

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