{"title":"Geometry and pressure effects on shallow microchannel deformations","authors":"Pablo Mardones Muñoz, Maria Luisa Cordero","doi":"10.1007/s00707-024-04145-0","DOIUrl":null,"url":null,"abstract":"<div><p>Understanding the deformation of microchannels is critical for designing microfluidic devices made of soft materials and operating under significant pressure gradients. This study aims to establish an analytic elastic model for the deformation of a shallow microchannel under the action of inner pressure that includes the geometrical parameters of the whole device. By considering a rectangular prism-shaped polymeric block with a straight channel on a rigid substrate, the stress, strain, and deformation of the channel’s roof are analyzed in a plane deformation framework. The outcomes illustrate that deformation is influenced by elastic and geometric variables. This model allows qualitative and quantitative predictions of the deflection in the roof of a microchannel. The model is tested experimentally with a flowing train of droplets, finding a good quantitative agreement. However, qualitative differences might suggest a non-negligible effect of the drops in the overall pressure-flow rate relationship.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1019 - 1028"},"PeriodicalIF":2.3000,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-024-04145-0","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
Understanding the deformation of microchannels is critical for designing microfluidic devices made of soft materials and operating under significant pressure gradients. This study aims to establish an analytic elastic model for the deformation of a shallow microchannel under the action of inner pressure that includes the geometrical parameters of the whole device. By considering a rectangular prism-shaped polymeric block with a straight channel on a rigid substrate, the stress, strain, and deformation of the channel’s roof are analyzed in a plane deformation framework. The outcomes illustrate that deformation is influenced by elastic and geometric variables. This model allows qualitative and quantitative predictions of the deflection in the roof of a microchannel. The model is tested experimentally with a flowing train of droplets, finding a good quantitative agreement. However, qualitative differences might suggest a non-negligible effect of the drops in the overall pressure-flow rate relationship.
期刊介绍：
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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