Skip to main content

Research Repository

Advanced Search

A phase-change model for diffusion-driven mass transfer problems in incompressible two-phase flows

Gennari, Gabriele; Jefferson-Loveday, Richard; Pickering, Stephen J.


Gabriele Gennari


We present a VOF-based numerical method for incompressible Direct Navier–Stokes (DNS) equations for diffusion-driven phase-change flows. A special emphasis is placed on the treatment of velocity discontinuities across the interface. A novel algorithm is presented to smoothly extend the liquid velocity field across the interface in a way that the interface can be transported by a divergence-free velocity field. The transport of species is treated with a two-scalar approach and special attention is paid to the advection and diffusion steps in order to prevent artificial mass transfer. The methodology is implemented in the open-source code Basilisk and is validated against analytical and semi-analytical models. The relative errors on the relevant quantities are generally below 1% for the finest grids. The method is finally applied to study the growth of electrochemically generated bubbles on planar electrodes and the effect of contact angles and number of nucleation sites is investigated.


Gennari, G., Jefferson-Loveday, R., & Pickering, S. J. (2022). A phase-change model for diffusion-driven mass transfer problems in incompressible two-phase flows. Chemical Engineering Science, 259, Article 117791.

Journal Article Type Article
Acceptance Date Jun 6, 2022
Online Publication Date Jun 17, 2022
Publication Date Sep 21, 2022
Deposit Date Jun 27, 2022
Publicly Available Date Jun 27, 2022
Journal Chemical Engineering Science
Print ISSN 0009-2509
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 259
Article Number 117791
Keywords Applied Mathematics; Industrial and Manufacturing Engineering; General Chemical Engineering; General Chemistry
Public URL
Publisher URL


You might also like

Downloadable Citations