Complex Porous Media Flows in Materials, Environmental and Biological Applications

材料、环境和生物应用中的复杂多孔介质流

• 批准号: 1107848
• 负责人: Daniel Anderson
• 金额: $ 15.29万
• 依托单位: George Mason University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-06-15 至 2015-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1107848&HistoricalAwards=false
• 关键词: Complex; Porous; Media; Flows; Materials

This project involves an investigation of complex flows in heterogenous, reactive and/or deformable porous materials. First, the solidification of a ternary alloy involves the formation of a porous mushy layer made up of dendritic crystals surrounded by fluid. In this mushy layer the motion of fluid is coupled to the growth or dissolution of the solid. Novel interactions between the dynamics of the fluid motion and the evolution of the solid material will be examined. Second, fluid flows in heterogeneous porous materials, such as geological subsurface systems, will be examined using homogenization techniques. Third, mathematical models of tear films for wearers of porous contact lenses will be explored. These models couple thin fluid film models of the tear films above and below the contact lens to fluid flow and evaporation through the contact lens.This research explores the motion of fluid through porous materials that are present in a broad range of natural, industrial, environmental and biomedical settings. Mathematical models are used to describe these complex systems. Computational tools are used to probe features of these models. Results of simulations and analyses are combined to provide new insights and broaden our understanding of physical and biological phenomena. Three main focus areas are motivated by (1) phenomena occurring in materials science observed during the casting of alloys, (2) the remediation of contaminated ground water systems, and (3) dry eye conditions and specifically how wearers of porous contact lenses may be affected. These broad topics are linked by the common presence of fluid motion through porous materials. This project will involve undergraduate and graduate students that will receive interdisciplinary training through research.

该项目涉及研究非均质、活性和/或可变形多孔材料中的复杂流动。首先，三元合金的凝固包括形成由树枝状晶体组成的多孔糊状层，周围环绕着流体。在这个糊状层中，流体的运动与固体的生长或溶解相耦合。我们将研究流体运动的动力学和固体材料的演化之间的新的相互作用。第二，将使用均化技术研究非均质多孔材料中的流体流动，例如地质地下系统。第三，探索多孔隐形眼镜佩戴者泪膜的数学模型。这些模型将隐形眼镜上方和下方的泪膜的薄膜模型与隐形眼镜中的流体流动和蒸发相结合。这项研究探索了流体在多孔材料中的运动，这些材料存在于广泛的自然、工业、环境和生物医学环境中。用数学模型来描述这些复杂的系统。计算工具被用来探索这些模型的特征。模拟和分析的结果结合在一起，提供了新的见解，拓宽了我们对物理和生物现象的理解。三个主要的重点领域是(1)在合金铸造过程中观察到的材料科学现象，(2)受污染的地下水系统的修复，以及(3)干眼状况，特别是多孔隐形眼镜的佩戴者可能受到的影响。这些广泛的话题由于流体在多孔材料中运动的普遍存在而联系在一起。该项目将涉及本科生和研究生，他们将通过研究接受跨学科培训。