A phase field model for mass transport with semi-permeable interfaces

dc.contributor.author

Qin, Y

dc.contributor.author

Huang, H

dc.contributor.author

Zhu, Y

dc.contributor.author

Liu, C

dc.contributor.author

Xu, S

dc.date.accessioned

2023-05-31T07:24:54Z

dc.date.available

2023-05-31T07:24:54Z

dc.date.issued

2022-09-01

dc.date.updated

2023-05-31T07:24:51Z

dc.description.abstract

In this paper, a thermaldynamical consistent model for mass transfer across permeable moving interfaces is proposed by using the energy variation method. We consider a restricted diffusion problem where the flux across the interface depends on its conductance and the difference of the concentration on each side. The diffusive interface phase-field framework used here has several advantages over the sharp interface method. First of all, explicit tracking of the interface is no longer necessary. Secondly, interfacial conditions can be incorporated with a variable diffusion coefficient. Finally, topological changes of interfaces can be handed easily. A detailed asymptotic analysis confirms the diffusive interface model converges to the existing sharp interface model as the interface thickness goes to zero. An energy stable numerical scheme is developed to solve this highly nonlinear coupled system.Numerical simulations first illustrate the consistency of theoretical results on the sharp interface limit. Then a convergence study and energy decay test are conducted to ensure the efficiency and stability of the numerical scheme. To illustrate the effectiveness of our phase-field approach, several examples are provided, including a study of a two-phase mass transfer problem where droplets with deformable interfaces are suspended in a moving fluid.

dc.identifier.issn

0021-9991

dc.identifier.issn

1090-2716

dc.identifier.uri

https://hdl.handle.net/10161/27443

dc.language

en

dc.publisher

Elsevier BV

dc.relation.ispartof

Journal of Computational Physics

dc.relation.isversionof

10.1016/j.jcp.2022.111334

dc.subject

Phase field method

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Mass transport

dc.subject

Restricted diffusion

dc.subject

Sharp interface limit

dc.title

A phase field model for mass transport with semi-permeable interfaces

dc.type

Journal article

duke.contributor.orcid

Xu, S|0000-0002-8207-7313

pubs.begin-page

111334

pubs.end-page

111334

pubs.organisational-group

Duke

pubs.organisational-group

Duke Kunshan University

pubs.organisational-group

DKU Faculty

pubs.publication-status

Published

pubs.volume

464

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