Show simple item record

dc.contributor.authorZhu, Guangpu
dc.contributor.authorKou, Jisheng
dc.contributor.authorYao, Jun
dc.contributor.authorLi, Aifen
dc.contributor.authorSun, Shuyu
dc.date.accessioned2019-12-11T11:36:39Z
dc.date.available2019-12-11T11:36:39Z
dc.date.issued2019-12-04
dc.identifier.citationZhu, G., Kou, J., Yao, J., Li, A., & Sun, S. (2019). A phase-field moving contact line model with soluble surfactants. Journal of Computational Physics, 109170. doi:10.1016/j.jcp.2019.109170
dc.identifier.doi10.1016/j.jcp.2019.109170
dc.identifier.urihttp://hdl.handle.net/10754/660524
dc.description.abstractA phase-field moving contact line model is presented for a two-phase system with soluble surfactants. With the introduction of some scalar auxiliary variables, the original free energy functional is transformed into an equivalent form, and then a new governing system is obtained. The resulting model consists of two Cahn-Hilliard-type equations and incompressible Navier-Stokes equation with variable densities, together with the generalized Navier boundary condition for the moving contact line. We prove that the proposed model satisfies the total energy dissipation with time. To numerically solve such a complex system, we develop a nonlinearly coupled scheme with unconditional energy stability. A splitting method based on pressure stabilization is used to solve the Navier-Stokes equation. Some subtle implicit-explicit treatments are adopted to discretize convection and stress terms. A stabilization term is artificially added to balance the explicit nonlinear term associated with the surface energy at the fluid-solid interface. We rigorously prove that the proposed scheme can preserve the discrete energy dissipation. An efficient finite difference method on staggered grids is used for the spatial discretization. Numerical results in both two and three dimensions demonstrate the accuracy and energy stability of the proposed scheme. Using our model and numerical scheme, we investigate the wetting behavior of droplets on a solid wall. Numerical results indicate that surfactants can affect the wetting properties of droplet by altering the value of contact angles.
dc.description.sponsorshipJun Yao and Guangpu Zhu acknowledge that this work is supported by the National Science and Technology Major Project (2016ZX05011-001), the Natural Science Foundation of China (51804325, 5167428041 and 51774317) and Shandong Provincial Natural Science Foundation (ZR2019JQ21). The work of Shuyu Sun and Jisheng Kou is supported by the KAUST research fund awarded to the Computational Transport Phenomena Laboratory at KAUST through the Grant BAS/1/1351-01-01, URF/1/2993-01, and REP/1/2879-01.
dc.publisherElsevier BV
dc.relation.urlhttps://linkinghub.elsevier.com/retrieve/pii/S0021999119308757
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational Physics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational Physics, [[Volume], [Issue], (2019-12-04)] DOI: 10.1016/j.jcp.2019.109170 . © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleA phase-field moving contact line model with soluble surfactants
dc.typeArticle
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalJournal of Computational Physics
dc.rights.embargodate2021-12-04
dc.eprint.versionPost-print
dc.contributor.institutionSchool of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China
dc.contributor.institutionSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, Hubei, China
kaust.personSun, Shuyu
kaust.grant.numberBAS/1/1351-01-01
kaust.grant.numberREP/1/2879-01
kaust.grant.numberURF/1/2993-01
kaust.acknowledged.supportUnitComputational Transport Phenomena Laboratory
dc.date.published-online2019-12-04
dc.date.published-print2020-03


Files in this item

Thumbnail
Name:
JCP_Accepted_Manuscript.pdf
Size:
2.116Mb
Format:
PDF
Description:
Accepted manuscript
Embargo End Date:
2021-12-04

This item appears in the following Collection(s)

Show simple item record