Control Characteristics of Mass Diffusion in a Meta-Material Based on Transformation Coordinate Method

Hao Zhang, Yiyi Li, Zhuang Ma, Quan Zou
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引用次数: 1

Abstract

Mass transfer is a ubiquitous transfer phenomenon, efficient means of mass flux regulation are of great significance to various fields. Recently, because of superior physical properties, meta-materials have been widely concerned, and the research on flux regulation using meta-materials has been rapidly developed. However, the relevant research in the field of mass transfer has progressed much more slowly than expected. In this work, the characteristic regulation of gas diffusion in meta-material functional region was investigated. Through coordinate transformation, Fick diffusion equation and gas diffusivity were derived mathematically. Different kinds of homogeneous isotropic materials are alternately compounded based on equivalent medium theory to form meta-material functional region, which realize the characteristic regulation of oxygen, nitrogen and their mixtures. In addition, the simulation results are in agreement with the derived formulas mutually verified and quantitative analysis of geometric factors affecting gas regulation process is carried out.
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基于变换坐标法的超材料质量扩散控制特性研究
传质是一种普遍存在的传递现象,有效的质量通量调节手段对各个领域都具有重要意义。近年来,由于超材料具有优异的物理性能,受到了广泛的关注,利用超材料进行通量调节的研究也得到了迅速发展。然而,在传质领域的相关研究进展比预期的要慢得多。本文研究了超材料功能区中气体扩散的特征调控。通过坐标变换,数学推导了菲克扩散方程和气体扩散系数。基于等效介质理论,将不同种类的均质各向同性材料交替复合,形成超材料功能区,实现氧、氮及其混合物的特性调控。仿真结果与推导公式相吻合,并对影响气体调节过程的几何因素进行了定量分析。
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