An improved suspension balance model applied to shear-induced phase segregation
When suspensions are subject to non-homogeneous shear, particles migrate towards lower-shear rate regions of the flow due to the anisotropy on the particle phase’s normal stress. This phenomenon leads to phase segregation, complicating the interpretation of rheological experimental data for characte...
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| Published in | International journal of multiphase flow Vol. 184; p. 105120 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.03.2025
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0301-9322 |
| DOI | 10.1016/j.ijmultiphaseflow.2024.105120 |
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| Abstract | When suspensions are subject to non-homogeneous shear, particles migrate towards lower-shear rate regions of the flow due to the anisotropy on the particle phase’s normal stress. This phenomenon leads to phase segregation, complicating the interpretation of rheological experimental data for characterising those suspensions. This work presents an improved version of the well-known Suspension Balance Model (SBM), featuring a frame-independent formulation of the particles’ normal stress with an improved momentum interpolation scheme that prevents numerical oscillations. The particle’s stress model also includes a local formulation for the microscopically generated extra stress, ensuring grid convergence. Our model, implemented in OpenFOAM-v7®, successfully simulated various shear-dominated flows. The simulated Couette rheometric data showed that the characterisation of suspensions from such data could not capture their non-Newtonian behaviour. Besides, the obtained rheological model for the suspensions depended on the geometry of the rheometer, being unable to predict the flow of the same suspension in different conditions and geometries.
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•We developed a frame-independent Suspension Balance Model solver using OpenFOAM.•A modified stress tensor model allows the presence of velocity plateaus.•An improved momentum interpolation avoids oscillations in the phase fraction fields.•A cyclic boundary condition simulated fully developed flows up to 500 times faster.•The suspension’s apparent viscosity strongly depends on rheometer flow geometry. |
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| AbstractList | When suspensions are subject to non-homogeneous shear, particles migrate towards lower-shear rate regions of the flow due to the anisotropy on the particle phase’s normal stress. This phenomenon leads to phase segregation, complicating the interpretation of rheological experimental data for characterising those suspensions. This work presents an improved version of the well-known Suspension Balance Model (SBM), featuring a frame-independent formulation of the particles’ normal stress with an improved momentum interpolation scheme that prevents numerical oscillations. The particle’s stress model also includes a local formulation for the microscopically generated extra stress, ensuring grid convergence. Our model, implemented in OpenFOAM-v7®, successfully simulated various shear-dominated flows. The simulated Couette rheometric data showed that the characterisation of suspensions from such data could not capture their non-Newtonian behaviour. Besides, the obtained rheological model for the suspensions depended on the geometry of the rheometer, being unable to predict the flow of the same suspension in different conditions and geometries.
[Display omitted]
•We developed a frame-independent Suspension Balance Model solver using OpenFOAM.•A modified stress tensor model allows the presence of velocity plateaus.•An improved momentum interpolation avoids oscillations in the phase fraction fields.•A cyclic boundary condition simulated fully developed flows up to 500 times faster.•The suspension’s apparent viscosity strongly depends on rheometer flow geometry. |
| ArticleNumber | 105120 |
| Author | Schlatter, Lauren da Silva Ferreira, Gabriel Gonçalves da Cunha Lage, Paulo Laranjeira |
| Author_xml | – sequence: 1 givenname: Lauren orcidid: 0000-0003-0145-5077 surname: Schlatter fullname: Schlatter, Lauren email: laurenfernandes@peq.coppe.ufrj.br – sequence: 2 givenname: Gabriel Gonçalves orcidid: 0000-0002-1328-5426 surname: da Silva Ferreira fullname: da Silva Ferreira, Gabriel Gonçalves email: gferreira@peq.coppe.ufrj.br – sequence: 3 givenname: Paulo Laranjeira orcidid: 0000-0002-0396-5508 surname: da Cunha Lage fullname: da Cunha Lage, Paulo Laranjeira email: paulo@peq.coppe.ufrj.br |
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| Keywords | OpenFOAM Shear-induced migration Non-Newtonian fluids Suspension balance model Suspension rheology |
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| Title | An improved suspension balance model applied to shear-induced phase segregation |
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