Wang K G, Wang Gabriel Q
Mechanical and Aerospace Engineering Department, Florida Institute of Technology, Melbourne, Florida 32901, USA.
West Shore Senior/Junior High School, Melbourne, Florida 32935, USA.
Phys Rev E. 2017 Feb;95(2-1):022609. doi: 10.1103/PhysRevE.95.022609. Epub 2017 Feb 27.
A theory for phase coarsening in multicomponent systems is developed in which both the multicomponent thermodynamic effect and kinetic effect from a nonzero volume fraction are considered. In contrast to previous theory, a diffusion screening zone for a coarsening particle due to nonzero volume fraction is introduced. The evolution equation for phase coarsening in multicomponent systems is derived in a rigorous way in the framework of the maximum rate of dissipation with the constraints of mass and energy conservation. Existing previous relations are recovered and generalized. Some findings such as the relationship between the maximum particle size and volume fraction and particle size distribution in multicomponent systems are discovered.
本文提出了一种多组分系统中相粗化的理论，该理论同时考虑了多组分热力学效应和非零体积分数带来的动力学效应。与先前的理论不同，引入了由于非零体积分数而产生的粗化粒子扩散屏蔽区。在质量和能量守恒约束下的最大耗散率框架内，严格推导了多组分系统中相粗化的演化方程。恢复并推广了先前已有的关系。发现了一些结果，如多组分系统中最大粒子尺寸与体积分数之间的关系以及粒子尺寸分布。
