Nanoparticle precipitation in microemulsions: Population balance model and identification of bivariate droplet exchange kernel

Journal of Colloid and Interface Science
Björn Niemann, Kai Sundmacher

Abstract

A discrete population balance model is derived in order to investigate nanoparticle precipitation inside droplets of a water-in-oil microemulsion. Special attention is being paid to the droplet exchange. This mechanism is responsible for the mixing of the reactants before precipitation starts. Thus, a very precise determination is important for the subsequent steps nucleation and growth which depend on the supersaturation being a function of the reactant concentrations inside the droplets. For a reliable evaluation of the droplet exchange a bivariate population balance for the two dissolved reactants and a one-dimensional population balance comprising the particle size has been formulated. The coalescence and redistribution of the droplets is described by a two-dimensional agglomeration-type term. Different bivariate kernel functions for a situation with the low soluble product BaSO(4) and its two reactants BaCl(2) and K(2)SO(4) have been analyzed within this term. In conclusion, it was found that a kernel with a linear profile for the attractive forces between the two reactants fits experimental findings best. It takes into account that the redistribution of two merged mother droplets is different for the case that only one of...Continue Reading

References

Jul 14, 2004·Langmuir : the ACS Journal of Surfaces and Colloids·Ravi Jain, Anurag Mehra
Nov 16, 2005·Langmuir : the ACS Journal of Surfaces and Colloids·Ravi JainAnurag Mehra
Feb 20, 2007·Langmuir : the ACS Journal of Surfaces and Colloids·Mani EthayarajaRajdip Bandyopadhyaya
Mar 1, 2008·Langmuir : the ACS Journal of Surfaces and Colloids·Björn NiemannKai Sundmacher

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Citations

Apr 17, 2013·International Journal of Biological Macromolecules·Yinjuan HuangZhen Liu
Dec 1, 2017·Journal of Food Science and Technology·Yongbo Ding, Jianquan Kan
Dec 29, 2010·Materials·Concha TojoFernando Barroso
Aug 15, 2014·Physical Chemistry Chemical Physics : PCCP·C TojoM A López-Quintela

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