{"title":"The Influence of Boundaries on Gravity Currents and Thin Films: Drainage, Confinement, Convergence, and Deformation Effects","authors":"Z. Zheng, H. Stone","doi":"10.1146/annurev-fluid-030121-025957","DOIUrl":null,"url":null,"abstract":"Thin film flows, whether driven by gravity, surface tension, or the relaxation of elastic boundaries, occur in many natural and industrial processes. Applications span problems of oil and gas transport in channels to hydraulic fracture, subsurface propagation of pollutants, storage of supercritical CO2 in porous formations, and flow in elastic Hele–Shaw configurations and their relatives. We review the influence of boundaries on the dynamics of thin film flows, with a focus on gravity currents, including the effects of drainage into the substrate, and the role of the boundaries to confine the flow, force its convergence to a focus, or deform, and thus feedback to alter the flow. In particular, we highlight reduced-order models. In many cases, self-similar solutions can be determined and describe the behaviors in canonical problems at different timescales and length scales, including self-similar solutions of both the first and second kind. Additionally, the time transitions between different solutions are summarized. Where possible, remarks about various applications are provided.","PeriodicalId":50754,"journal":{"name":"Annual Review of Fluid Mechanics","volume":" ","pages":""},"PeriodicalIF":25.4000,"publicationDate":"2022-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annual Review of Fluid Mechanics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1146/annurev-fluid-030121-025957","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 13
Abstract
Thin film flows, whether driven by gravity, surface tension, or the relaxation of elastic boundaries, occur in many natural and industrial processes. Applications span problems of oil and gas transport in channels to hydraulic fracture, subsurface propagation of pollutants, storage of supercritical CO2 in porous formations, and flow in elastic Hele–Shaw configurations and their relatives. We review the influence of boundaries on the dynamics of thin film flows, with a focus on gravity currents, including the effects of drainage into the substrate, and the role of the boundaries to confine the flow, force its convergence to a focus, or deform, and thus feedback to alter the flow. In particular, we highlight reduced-order models. In many cases, self-similar solutions can be determined and describe the behaviors in canonical problems at different timescales and length scales, including self-similar solutions of both the first and second kind. Additionally, the time transitions between different solutions are summarized. Where possible, remarks about various applications are provided.
期刊介绍:
The Annual Review of Fluid Mechanics is a longstanding publication dating back to 1969 that explores noteworthy advancements in the field of fluid mechanics. Its comprehensive coverage includes various topics such as the historical and foundational aspects of fluid mechanics, non-newtonian fluids and rheology, both incompressible and compressible fluids, plasma flow, flow stability, multi-phase flows, heat and species transport, fluid flow control, combustion, turbulence, shock waves, and explosions.
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This new approach not only ensures broader dissemination of research in fluid mechanics but also fosters a more inclusive and collaborative scientific community.