دورية أكاديمية
Analytic modelling of passive microfluidic mixers
| العنوان: | Analytic modelling of passive microfluidic mixers |
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| المؤلفون: | Bonament, Alexi, Prel, Alexis, Sallese, Jean-Michel, Lallement, Christophe, Madec, Morgan |
| المساهمون: | Laboratoire des sciences de l'ingénieur, de l'informatique et de l'imagerie (ICube), École Nationale du Génie de l'Eau et de l'Environnement de Strasbourg (ENGEES)-Université de Strasbourg (UNISTRA)-Les Hôpitaux Universitaires de Strasbourg (HUS)-Institut National des Sciences Appliquées - Strasbourg (INSA Strasbourg), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Matériaux et Nanosciences Grand-Est (MNGE), Université de Strasbourg (UNISTRA)-Université de Haute-Alsace (UHA) Mulhouse - Colmar (Université de Haute-Alsace (UHA))-Institut National de la Santé et de la Recherche Médicale (INSERM)-Institut de Chimie - CNRS Chimie (INC-CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université de Strasbourg (UNISTRA)-Université de Haute-Alsace (UHA) Mulhouse - Colmar (Université de Haute-Alsace (UHA))-Institut National de la Santé et de la Recherche Médicale (INSERM)-Institut de Chimie - CNRS Chimie (INC-CNRS)-Centre National de la Recherche Scientifique (CNRS)-Réseau nanophotonique et optique, Université de Strasbourg (UNISTRA)-Université de Haute-Alsace (UHA) Mulhouse - Colmar (Université de Haute-Alsace (UHA))-Centre National de la Recherche Scientifique (CNRS)-Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS), Imagine - Institut des maladies génétiques (IHU) (Imagine - U1163), Institut National de la Santé et de la Recherche Médicale (INSERM)-Université Paris Cité (UPCité) |
| المصدر: | ISSN: 1551-0018 ; Mathematical Biosciences and Engineering ; https://hal.science/hal-03981671Test ; Mathematical Biosciences and Engineering, 2022, 19 (4), pp.3892-3908. ⟨10.3934/mbe.2022179⟩ ; http://www.aimspress.com/journal/MBETest. |
| بيانات النشر: | HAL CCSD |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | microfluidics, passive mixer, modelling, analytic models, hardware description languages, COMSOL simulations, electronic-equivalent microfluidic circuits, Verilog-AMS, [SPI.NANO]Engineering Sciences [physics]/Micro and nanotechnologies/Microelectronics |
| الوصف: | This paper deals with a new analytical model for microfluidic passive mixers. Two common approaches already exist for such a purpose. On the one hand, the resolution of the advection-diffusion-reaction equation (ADRE) is the first one and the closest to physics. However, ADRE is a partial differential equation that requires finite element simulations. On the other hand, analytical models based on the analogy between microfluidics and electronics have already been established. However, they rely on the assumption of homogeneous fluids, which means that the mixer is supposed to be long enough to obtain a perfect mixture at the output. In this paper, we derive an analytical model from the ADRE under several assumptions. Then we integrate these equations within the electronic-equivalent models. The resulting models computed the relationship between pressure and flow rate in the microfluidic circuit but also takes the concentration gradients that can appear in the direction perpendicular to the channel into account. The model is compared with the finite element simulation performed with COMSOL Multiphysics in several study cases. We estimate that the global error introduced by our model compared to the finite element simulation is less than 5% in every use case. In counterparts, the cost in terms of computational resources is drastically reduced. The analytical model can be implemented in a large range of modelling and simulation languages, including SPICE and hardware description language such as Verilog-AMS. This feature is very interesting in the context of the in silico prototyping of large-scale microfluidic devices or multi-physics devices involving microfluidic circuits, e.g. lab-on-chips. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| العلاقة: | hal-03981671; https://hal.science/hal-03981671Test; https://hal.science/hal-03981671/documentTest; https://hal.science/hal-03981671/file/islandora_159374.pdfTest |
| DOI: | 10.3934/mbe.2022179 |
| الإتاحة: | https://doi.org/10.3934/mbe.2022179Test https://hal.science/hal-03981671Test https://hal.science/hal-03981671/documentTest https://hal.science/hal-03981671/file/islandora_159374.pdfTest |
| حقوق: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.317AB991 |
| قاعدة البيانات: | BASE |
| DOI: | 10.3934/mbe.2022179 |
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