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Correct Use of the Lifshitz-Slyosov-Wagner Expression for the Calculation of the Average Radius of an Oil-In-Water (o/w) Emulsion Subject to Coalescence

2014/11/14 by Kareem Rahn-Chique, Rahn-Chique, Kareem, Germán Urbina-Villalba +2
Agricultural and Biological Sciences · Chemistry · Engineering · Mathematics · Physics and Astronomy · #Aqueous solution #Chemistry #Coalescence (physics) #Computer science #Electrohydrodynamics and Fluid Dynamics #Emulsion #Expression (computer science) #FOS: Physical sciences #Hydrodynamic radius #Mathematics #Organic chemistry #Ostwald ripening #Physical chemistry #Physics #Proteins in Food Systems #RADIUS #Soft Condensed Matter (cond-mat.soft) #Statistical physics #Surfactants and Colloidal Systems #Thermodynamics #cond-mat.soft

paper · pdf · doi:10.48550/arxiv.1411.3910

published in arXiv (Cornell University) (Cornell University) · 26 pages, 2 figures

openalex publication_date 2014/11/14 · arxiv created 2015/02/09 · arxiv updated 2015/02/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The analytic expression proposed by Lifshitz-Slyozov and Wagner (LSW theory) for the linear variation of the cube average radius (R3) of an emulsion as function of time (t) is commonly used to appraise the effect of Ostwald ripening. However, we proved here both experimentally and theoretically that such approach is incorrect in those cases in which the coalescence of the drops cannot be prevented. In this event, the expression of LSW should be corrected in order to account for the actual average radius of the emulsion at each time, and instead of the radius predicted by the equations of LSW without consideration of the coalescence process.

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