Iterative upscaling of fluid flows in nonlinear deformable porous media

非线性可变形多孔介质中流体流动的迭代放大

• 批准号: 0811180
• 负责人: Yalchin Efendiev
• 金额: --
• 依托单位: Texas A&M Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-07-01 至 2012-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0811180&HistoricalAwards=false
• 关键词: Iterative; upscaling; fluid; flows; nonlinear

The objective of this project is to develop numerical upscaling models for fluid flow through shape changing, inelastic, porous media, capable of shape recovery under pressure and temperature variations. Currently, the well-established models for poro-elastic media can only be applied to linear, elastic, porous solids. Moreover, macroscopic parameters such as average fluid pressure, and solid displacements are subject to various limitations. A key scientific contribution of the proposed research is modeling of the nonlinear coupling at the microscale between the fluid flow and solid deformation, due to both inelastic behavior of the solid and large pore-level displacements. The project will focus on fluid flow in various types of 3D pore geometries and different macroscopic parameters such as temperature, pressure and displacements. The homogenization method will be used to identify macroscopic equations and upscaled parameters which describe the effective media. Due to the complexity of the coupled fluid-structure interaction problem at the fine scale and the complex nonlinear response shape memory solids we will not attempt do derive closed form macroscopic equations. Instead, an efficient, easily parallelizable, Hybrid Multiscale Finite Element Model (HMFEM) which bypasses the explicit homogenization step by building fine-scale information directly into a coarse-scale computational grid will be developed. This numerical upscaling method will be applied to the analysis of a variable permeability filter with an SMA (Shape Memory Alloy) matrix, as a demonstration of the proposed methodology. Experimental verification of the numerical simulations will also be carried out.A porous SMA (Shape Memory Alloy) matrix makes possible devices with changing, temperature and/or stress dependent, porosity without the need for moving parts and active control mechanisms. The project will expand our understanding of tightly coupled multiphyics phenomena in such media. Design of novel temperature and pressure-controlled flow regulators with applications to filters, catalytic converters, separators and microfluidic sensors can only become possible with accurate mathematical modeling and numerical simulations of fluid flow in such deformable porous media. The project will also provide a sound theoretical understanding of upscaling strongly coupled fluid-structure interaction problems, extending current methods for engineering analysis and design of complex devices. While we focus on SMAs, SMAs encompass standard plastic materials and are representative of a broader class of shape changing materials such as Magnetic SMAs, Shape Memory Polymers and Ferroelectric materials. As a result, this work will be directly applicable to a more general class of inelastic, temperature-dependent materials.

该项目的目的是开发通过形状变化，非弹性，多孔培养基的流体流量的数值升级模型，能够在压力和温度变化下形状恢复。当前，良好的毛孔弹性介质模型只能应用于线性，弹性，多孔固体。此外，宏观参数（例如平均流体压力和固体位移）受到各种局限性。拟议的研究的一个关键科学贡献是，由于固体和大孔隙级位移的非弹性行为，流体流量和固体变形之间的微观流动和固体变形之间的非线性耦合建模。该项目将集中于各种类型的3D孔几何形状和不同宏观参数（例如温度，压力和位移）中的流体流量。均质化方法将用于识别描述有效介质的宏观方程和上尺度的参数。由于耦合的流体结构相互作用问题在细节和复杂的非线性响应形状固体上的复杂性，我们不会尝试得出封闭形式的宏观方程。取而代之的是，将开发出一个高效，易于并行的混合多尺度有限元模型（HMFEM），该模型将通过直接构建精细的信息来绕开显式均质化步骤，直接将其直接构建到粗尺度的计算网格中。这种数值上尺度的方法将应用于使用SMA（形状内存合金）矩阵的可变渗透性滤波器的分析，以证明所提出的方法。还将对数值模拟进行实验验证。多孔SMA（形状存储合金）矩阵使设备可能随着变化，温度和/或压力而变化，孔隙率，孔隙率，无需运动部件和主动控制机制。该项目将扩大我们对这种媒体中紧密耦合多水现象的理解。新型温度和压力控制的流动调节器的设计，具有用于过滤器，催化转换器，分离器和微流体传感器的应用，只有通过准确的数学建模和对这种可变形的多孔培养基中流体流的数值模拟才能成为可能。该项目还将提供对强烈耦合流体结构相互作用问题的高尺度理论理解，从而扩展了用于复杂设备的工程分析和设计的当前方法。当我们专注于SMA时，SMA涵盖了标准塑料材料，并代表了更广泛的变形材料，例如磁性SMA，形状存储聚合物和铁电材料。结果，这项工作将直接适用于更一般的非弹性，温度依赖性材料。