A phase field model for compressible immiscible fluids with a new equation of state

dc.contributor.author

Dai, H

dc.contributor.author

Xu, S

dc.contributor.author

Xu, Z

dc.contributor.author

Zhao, N

dc.contributor.author

Zhu, CX

dc.contributor.author

Zhu, C

dc.date.accessioned

2023-05-31T07:26:09Z

dc.date.available

2023-05-31T07:26:09Z

dc.date.issued

2022-04-01

dc.date.updated

2023-05-31T07:26:06Z

dc.description.abstract

In this paper, we propose a new compressible phase field model of two different immiscible fluid components, in which the density of each phase is variable. In order to establish the compressible phase field model, a new P-V-T equation of state is introduced to solve the pressure. The new model is derived by the physics law of conservation, and conforms to the second law of thermodynamics. The model adopts an innovative expression of Helmholtz free energy, taking into account the new state equation of pressure and the varying material properties of each phase. A high-order accurate numerical scheme is introduced to solve the model equations. The convection terms of the governing equations are discretized by the fifth-order WENO scheme, and the residual terms are discretized by the Lax–Friedrichs method. Finally, the reliability and validity of the compressible two-phase model are verified by numerical simulations.

dc.identifier.issn

0301-9322

dc.identifier.issn

1879-3533

dc.identifier.uri

https://hdl.handle.net/10161/27444

dc.language

en

dc.publisher

Elsevier BV

dc.relation.ispartof

International Journal of Multiphase Flow

dc.relation.isversionof

10.1016/j.ijmultiphaseflow.2021.103937

dc.subject

Compressible

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Phase field

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Fifth-order WENO

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Equation of state

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Helmholtz free energy

dc.title

A phase field model for compressible immiscible fluids with a new equation of state

dc.type

Journal article

duke.contributor.orcid

Xu, S|0000-0002-8207-7313

pubs.begin-page

103937

pubs.end-page

103937

pubs.organisational-group

Duke

pubs.organisational-group

Duke Kunshan University

pubs.organisational-group

DKU Faculty

pubs.publication-status

Published

pubs.volume

149

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