Mass-conserved density gradient theory model for nucleation process

Journal article
(Original article)

Publication Details

Author(s): Mu X, Frank F, Rivière B, Alpak FO, Chapman WG
Journal: Industrial & Engineering Chemistry Research
Publication year: 2018
ISSN: 0888-5885


Modeling the droplet nucleation process requires a molecular-scale approach to describe the interfacial tension (IFT) of spherical interfaces. Density gradient theory (DGT), also referred to as square gradient theory in some publications has been widely used to compute the IFT of many pure and mixed systems at the molecular scale. However, the application of DGT to droplet interfaces is limited by its setup in open systems, in which a stable droplet cannot be achieved. In this article, we propose a mass-conserved DGT model in a closed system, i.e. with no-flux boundary conditions, where no mass exchange is allowed with the outside environment. As opposed to the traditional approach, this model enforces a canonical ensemble and guarantees energy dissipation. The proposed model has been successfully applied to systems with planar as well as spherical interfaces, especially for droplet's IFT calculation in the nucleation process. By extending the DGT model from open to closed systems, we demonstrate the potential of DGT as an inhomogeneous model for a wider range of academic and industrial applications.

FAU Authors / FAU Editors

Frank, Florian Prof. Dr.
Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

External institutions with authors

Rice University
Shell Global Solutions International B.V.

How to cite

Mu, X., Frank, F., Rivière, B., Alpak, F.O., & Chapman, W.G. (2018). Mass-conserved density gradient theory model for nucleation process. Industrial & Engineering Chemistry Research.

Mu, Xiaoqun, et al. "Mass-conserved density gradient theory model for nucleation process." Industrial & Engineering Chemistry Research (2018).


Last updated on 2019-15-01 at 19:10