Thermodynamically consistent phase-field modelling of activated solute transport in binary solvent fluids.
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| Title: | Thermodynamically consistent phase-field modelling of activated solute transport in binary solvent fluids. |
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| Authors: | Kou, Jisheng1,2 (AUTHOR) jishengkou@163.com, Salama, Amgad3 (AUTHOR), Wang, Xiuhua2 (AUTHOR) jishengkou@163.com |
| Source: | Journal of Fluid Mechanics. 1/13/2023, Vol. 955, p1-47. 47p. |
| Subjects: | Solubility, Second law of thermodynamics, Solvents, Fluids, Two-phase flow, Conservation of mass |
| Abstract: | Active diffusion of substances in binary immiscible and incompressible fluids with different densities occurs universally in nature and industry, but relevant mathematical models and numerical simulation have been studied scarcely so far. In this paper, a thermodynamically consistent phase-field model is established to describe the activated solute transport in binary fluids with different densities. A mixed free-energy function for multiple solutes is proposed, which leads to different solute chemical potentials in binary solvent fluids, thus it has the ability to characterize the solubility difference of the solutes in two solvents. The two-phase flow is governed by a general hydrodynamic phase-field model that can account for general average velocity and different densities. The proposed model is derived rigorously using the second law of thermodynamics. Moreover, a general multi-component solute diffusion model is established using the Maxwell–Stefan approach, which involves the crossing influences between different solutes. To solve the model effectively, an efficient, linearized and decoupled numerical method is proposed for the model as well. The proposed numerical method can preserve the thermodynamical consistency, i.e. obeying an energy dissipation law at the discrete level, as well as guarantee the mass conservation law for the solutes and solvent fluids. Numerical experiments are carried out to show that the proposed model and numerical method can simulate various processes of the solute active diffusion in two-phase solvent fluids. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 161750520 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Thermodynamically consistent phase-field modelling of activated solute transport in binary solvent fluids. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kou%2C+Jisheng%22">Kou, Jisheng</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> jishengkou@163.com</i><br /><searchLink fieldCode="AR" term="%22Salama%2C+Amgad%22">Salama, Amgad</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Xiuhua%22">Wang, Xiuhua</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> jishengkou@163.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Fluid+Mechanics%22">Journal of Fluid Mechanics</searchLink>. 1/13/2023, Vol. 955, p1-47. 47p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Solubility%22">Solubility</searchLink><br /><searchLink fieldCode="DE" term="%22Second+law+of+thermodynamics%22">Second law of thermodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Solvents%22">Solvents</searchLink><br /><searchLink fieldCode="DE" term="%22Fluids%22">Fluids</searchLink><br /><searchLink fieldCode="DE" term="%22Two-phase+flow%22">Two-phase flow</searchLink><br /><searchLink fieldCode="DE" term="%22Conservation+of+mass%22">Conservation of mass</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Active diffusion of substances in binary immiscible and incompressible fluids with different densities occurs universally in nature and industry, but relevant mathematical models and numerical simulation have been studied scarcely so far. In this paper, a thermodynamically consistent phase-field model is established to describe the activated solute transport in binary fluids with different densities. A mixed free-energy function for multiple solutes is proposed, which leads to different solute chemical potentials in binary solvent fluids, thus it has the ability to characterize the solubility difference of the solutes in two solvents. The two-phase flow is governed by a general hydrodynamic phase-field model that can account for general average velocity and different densities. The proposed model is derived rigorously using the second law of thermodynamics. Moreover, a general multi-component solute diffusion model is established using the Maxwell–Stefan approach, which involves the crossing influences between different solutes. To solve the model effectively, an efficient, linearized and decoupled numerical method is proposed for the model as well. The proposed numerical method can preserve the thermodynamical consistency, i.e. obeying an energy dissipation law at the discrete level, as well as guarantee the mass conservation law for the solutes and solvent fluids. Numerical experiments are carried out to show that the proposed model and numerical method can simulate various processes of the solute active diffusion in two-phase solvent fluids. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1017/jfm.2023.8 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 47 StartPage: 1 Subjects: – SubjectFull: Solubility Type: general – SubjectFull: Second law of thermodynamics Type: general – SubjectFull: Solvents Type: general – SubjectFull: Fluids Type: general – SubjectFull: Two-phase flow Type: general – SubjectFull: Conservation of mass Type: general Titles: – TitleFull: Thermodynamically consistent phase-field modelling of activated solute transport in binary solvent fluids. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kou, Jisheng – PersonEntity: Name: NameFull: Salama, Amgad – PersonEntity: Name: NameFull: Wang, Xiuhua IsPartOfRelationships: – BibEntity: Dates: – D: 13 M: 01 Text: 1/13/2023 Type: published Y: 2023 Identifiers: – Type: issn-print Value: 00221120 Numbering: – Type: volume Value: 955 Titles: – TitleFull: Journal of Fluid Mechanics Type: main |
| ResultId | 1 |
