Stochastic Modeling of Particle Transport in Confined Geometries: Problems and Peculiarities
The equivalence between parabolic transport equations for solute concentrations and stochastic dynamics for solute particle motion represents one of the most fertile correspondences in statistical physics originating from the work by Einstein on Brownian motion. In this article, we analyze the probl...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/7/3/105 |
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| author | Giuseppe Procopio Massimiliano Giona |
| author_facet | Giuseppe Procopio Massimiliano Giona |
| author_sort | Giuseppe Procopio |
| collection | DOAJ |
| description | The equivalence between parabolic transport equations for solute concentrations and stochastic dynamics for solute particle motion represents one of the most fertile correspondences in statistical physics originating from the work by Einstein on Brownian motion. In this article, we analyze the problems and the peculiarities of the stochastic equations of motion in microfluidic confined systems. The presence of solid boundaries leads to tensorial hydrodynamic coefficients (hydrodynamic resistance matrix) that depend also on the particle position. Singularity issues, originating from the non-integrable divergence of the entries of the resistance matrix near a solid no-slip boundary, determine some mass-transport paradoxes whenever surface phenomena, such as surface chemical reactions at the walls, are considered. These problems can be overcome by considering the occurrence of non vanishing slippage. Added-mass effects and the influence of fluid inertia in confined geometries are also briefly addressed. |
| first_indexed | 2024-03-09T19:50:53Z |
| format | Article |
| id | doaj.art-13563e4348784cd3b3d3140d2f3fb254 |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-09T19:50:53Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-13563e4348784cd3b3d3140d2f3fb2542023-11-24T01:09:27ZengMDPI AGFluids2311-55212022-03-017310510.3390/fluids7030105Stochastic Modeling of Particle Transport in Confined Geometries: Problems and PeculiaritiesGiuseppe Procopio0Massimiliano Giona1Dipartimento di Ingegneria Chimica Materiali Ambiente, La Sapienza Università di Roma, Via Eudossiana 18, 00184 Roma, ItalyDipartimento di Ingegneria Chimica Materiali Ambiente, La Sapienza Università di Roma, Via Eudossiana 18, 00184 Roma, ItalyThe equivalence between parabolic transport equations for solute concentrations and stochastic dynamics for solute particle motion represents one of the most fertile correspondences in statistical physics originating from the work by Einstein on Brownian motion. In this article, we analyze the problems and the peculiarities of the stochastic equations of motion in microfluidic confined systems. The presence of solid boundaries leads to tensorial hydrodynamic coefficients (hydrodynamic resistance matrix) that depend also on the particle position. Singularity issues, originating from the non-integrable divergence of the entries of the resistance matrix near a solid no-slip boundary, determine some mass-transport paradoxes whenever surface phenomena, such as surface chemical reactions at the walls, are considered. These problems can be overcome by considering the occurrence of non vanishing slippage. Added-mass effects and the influence of fluid inertia in confined geometries are also briefly addressed.https://www.mdpi.com/2311-5521/7/3/105microfluidicsstochastic modelsconfined geometriesslip flowsLangevin equations |
| spellingShingle | Giuseppe Procopio Massimiliano Giona Stochastic Modeling of Particle Transport in Confined Geometries: Problems and Peculiarities Fluids microfluidics stochastic models confined geometries slip flows Langevin equations |
| title | Stochastic Modeling of Particle Transport in Confined Geometries: Problems and Peculiarities |
| title_full | Stochastic Modeling of Particle Transport in Confined Geometries: Problems and Peculiarities |
| title_fullStr | Stochastic Modeling of Particle Transport in Confined Geometries: Problems and Peculiarities |
| title_full_unstemmed | Stochastic Modeling of Particle Transport in Confined Geometries: Problems and Peculiarities |
| title_short | Stochastic Modeling of Particle Transport in Confined Geometries: Problems and Peculiarities |
| title_sort | stochastic modeling of particle transport in confined geometries problems and peculiarities |
| topic | microfluidics stochastic models confined geometries slip flows Langevin equations |
| url | https://www.mdpi.com/2311-5521/7/3/105 |
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