Kinetic Theory Microstructure Modeling in Concentrated Suspensions
When suspensions involving rigid rods become too concentrated, standard dilute theories fail to describe their behavior. Rich microstructures involving complex clusters are observed, and no model allows describing its kinematics and rheological effects. In previous works the authors propose a first...
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MDPI AG
2013-07-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/15/7/2805 |
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| author | Francisco Chinesta Amine Ammar Steven Le Corre Emmanuelle Abisset-Chavanne Rabih Mezher |
| author_facet | Francisco Chinesta Amine Ammar Steven Le Corre Emmanuelle Abisset-Chavanne Rabih Mezher |
| author_sort | Francisco Chinesta |
| collection | DOAJ |
| description | When suspensions involving rigid rods become too concentrated, standard dilute theories fail to describe their behavior. Rich microstructures involving complex clusters are observed, and no model allows describing its kinematics and rheological effects. In previous works the authors propose a first attempt to describe such clusters from a micromechanical model, but neither its validity nor the rheological effects were addressed. Later, authors applied this model for fitting the rheological measurements in concentrated suspensions of carbon nanotubes (CNTs) by assuming a rheo-thinning behavior at the constitutive law level. However, three major issues were never addressed until now: (i) the validation of the micromechanical model by direct numerical simulation; (ii) the establishment of a general enough multi-scale kinetic theory description, taking into account interaction, diffusion and elastic effects; and (iii) proposing a numerical technique able to solve the kinetic theory description. This paper focuses on these three major issues, proving the validity of the micromechanical model, establishing a multi-scale kinetic theory description and, then, solving it by using an advanced and efficient separated representation of the cluster distribution function. These three aspects, never until now addressed in the past, constitute the main originality and the major contribution of the present paper. |
| first_indexed | 2024-04-11T12:18:44Z |
| format | Article |
| id | doaj.art-ddc39415b7fb46958167a19e32e82814 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T12:18:44Z |
| publishDate | 2013-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-ddc39415b7fb46958167a19e32e828142022-12-22T04:24:11ZengMDPI AGEntropy1099-43002013-07-011572805283210.3390/e15072805Kinetic Theory Microstructure Modeling in Concentrated SuspensionsFrancisco ChinestaAmine AmmarSteven Le CorreEmmanuelle Abisset-ChavanneRabih MezherWhen suspensions involving rigid rods become too concentrated, standard dilute theories fail to describe their behavior. Rich microstructures involving complex clusters are observed, and no model allows describing its kinematics and rheological effects. In previous works the authors propose a first attempt to describe such clusters from a micromechanical model, but neither its validity nor the rheological effects were addressed. Later, authors applied this model for fitting the rheological measurements in concentrated suspensions of carbon nanotubes (CNTs) by assuming a rheo-thinning behavior at the constitutive law level. However, three major issues were never addressed until now: (i) the validation of the micromechanical model by direct numerical simulation; (ii) the establishment of a general enough multi-scale kinetic theory description, taking into account interaction, diffusion and elastic effects; and (iii) proposing a numerical technique able to solve the kinetic theory description. This paper focuses on these three major issues, proving the validity of the micromechanical model, establishing a multi-scale kinetic theory description and, then, solving it by using an advanced and efficient separated representation of the cluster distribution function. These three aspects, never until now addressed in the past, constitute the main originality and the major contribution of the present paper.http://www.mdpi.com/1099-4300/15/7/2805kinetic theoryconcentrated suspensionsaggregatesFokker-Planck equationproper generalized decompositionmicromechanics |
| spellingShingle | Francisco Chinesta Amine Ammar Steven Le Corre Emmanuelle Abisset-Chavanne Rabih Mezher Kinetic Theory Microstructure Modeling in Concentrated Suspensions Entropy kinetic theory concentrated suspensions aggregates Fokker-Planck equation proper generalized decomposition micromechanics |
| title | Kinetic Theory Microstructure Modeling in Concentrated Suspensions |
| title_full | Kinetic Theory Microstructure Modeling in Concentrated Suspensions |
| title_fullStr | Kinetic Theory Microstructure Modeling in Concentrated Suspensions |
| title_full_unstemmed | Kinetic Theory Microstructure Modeling in Concentrated Suspensions |
| title_short | Kinetic Theory Microstructure Modeling in Concentrated Suspensions |
| title_sort | kinetic theory microstructure modeling in concentrated suspensions |
| topic | kinetic theory concentrated suspensions aggregates Fokker-Planck equation proper generalized decomposition micromechanics |
| url | http://www.mdpi.com/1099-4300/15/7/2805 |
| work_keys_str_mv | AT franciscochinesta kinetictheorymicrostructuremodelinginconcentratedsuspensions AT amineammar kinetictheorymicrostructuremodelinginconcentratedsuspensions AT stevenlecorre kinetictheorymicrostructuremodelinginconcentratedsuspensions AT emmanuelleabissetchavanne kinetictheorymicrostructuremodelinginconcentratedsuspensions AT rabihmezher kinetictheorymicrostructuremodelinginconcentratedsuspensions |