Generalized multirate models for conjugate transfer in heterogeneous materials
Generalized multirate models for conjugate transfer in heterogeneous materials
复制标题
异质材料中共轭转移的广义多速率模型
DOI：
10.1103/physrevresearch.2.013041
复制
发表时间：
2019
影响因子：
4.2
通讯作者：
Matteo Icardi
中科院分区：
文献类型：
--
作者：
Federico Municchi;Matteo Icardi
我们提出了一个新的宏观模型之间的共轭传热和传质的\n {移动的区域}，其中平流运输是显着的，和一组\n {im移动的区域}，其中扩散运输是占主导地位的。应用空间平均算子的微观方程，我们得到了一个多连续介质模型，其中一个方程的平均浓度在移动的区域耦合的一组方程的平均浓度在非移动的区域。随后，通过光谱分解，我们推导出一组方程，可以被看作是一个概括的多速率传质（MRMT）模型，最初介绍了Haggerty和Gorelick。这个新的公式不需要任何局部平衡或几何假设。然后，我们表明，MRMT可以得到的领先级近似，当移动的浓度是在局部平衡。新的广义多速率模式（GMRM）的优点是提供了一个直接的方法来计算模型系数的任意形状的不动区域，通过适当的微尺度细胞问题的解决方案。一个重要的发现是，一个简单的重新缩放或重新参数化的传输速率系数（因此，记忆功能）是不足以占在移动的区域的流场和所产生的不均匀的浓度之间的界面处的移动的和im移动的区域。
We propose a novel macroscopic model for conjugate heat and mass transfer between a \emph{mobile region}, where advective transport is significant, and a set of \emph{immobile regions} where diffusive transport is dominant. Applying a spatial averaging operator to the microscopic equations, we obtain a \emph{multi-continuum} model, where an equation for the average concentration in the mobile region is coupled with a set of equations for the average concentrations in the immobile regions. Subsequently, by mean of a spectral decomposition, we derive a set of equations that can be viewed as a generalisation of the multi-rate mass transfer (MRMT) model, originally introduced by Haggerty & Gorelick. This new formulation does not require any assumption on local equilibrium or geometry. We then show that the MRMT can be obtained as the leading order approximation, when the mobile concentration is in local equilibrium. The new Generalised Multi-Rate Mode (GMRM) has the advantage of providing a direct method for calculating the model coefficients for immobile regions of arbitrary shapes, through the solution of appropriate micro-scale cell problems. An important finding is that a simple re-scaling or re-parametrisation of the transfer rate coefficient (and thus, the memory function) is not sufficient to account for the flow field in the mobile region and the resulting non-uniformity of the concentration at the interfaces between mobile and immobile regions.
影响因子：
8.8
作者：
Russo A;Johnson GR;Schnaar G;Brusseau ML
通讯作者：
Brusseau ML