Numerical Analysis of an Electroless Plating Problem in Gas–Liquid Two-Phase Flow

Fluids

Po-Shao Shih¹  ChengHeng Robert Kao¹  Olivier Pironneau²  Po-Yi Wu² 

[1] Department of Materials Science and Engineering, National Taiwan University, Taipei 10617, Taiwan;Laboratoire Jacques-Louis Lions, Sorbonne University, 75005 Paris, France;

关键词: electroless plating process;    two-phase flow;    finite element method;    two-velocities averaged model;   

DOI  :  10.3390/fluids6110371

来源: DOAJ

【 摘 要 】

Electroless plating in micro-channels is a rising technology in industry. In many electroless plating systems, hydrogen gas is generated during the process. A numerical simulation method is proposed and analyzed. At a micrometer scale, the motion of the gaseous phase must be addressed so that the plating works smoothly. Since the bubbles are generated randomly and everywhere, a volume-averaged, two-phase, two-velocity, one pressure-flow model is applied. This fluid system is coupled with a set of convection–diffusion equations for the chemicals subject to flux boundary conditions for electron balance. The moving boundary due to plating is considered. The Galerkin-characteristic finite element method is used for temporal and spatial discretizations; the well-posedness of the numerical scheme is proved. Numerical studies in two dimensions are performed to validate the model against earlier one-dimensional models and a dedicated experiment that has been set up to visualize the distribution of bubbles.

【 授权许可】

Unknown