臺灣博碩士論文加值系統

三維矩形容器內微粒子運動之現象，於機艙之沉澱櫃、半導體工業以及工
業上之應用非常廣泛。本文應用有限差分法將連續方程式及 Navier-
Stokes 方程式離散化，把流體之黏性及非線性項等之特性均考慮，再利
用所得之流場解微粒子運動方程式，經數值解析與參考文獻[12]之實驗互
相映證的結果相當一致。研究結果得知，欲使微粒子有良好的沉澱效果，
可增加微粒子直徑、降低雷諾數及縮短隔板底部距箱形容器底平面之間隙
。且當微粒子不能沉澱時，微粒子在容器內運動之環狀軌跡愈大，則停留
在容器的時間愈長。

Designing of settling tanks of a ship or industrial settling
chambers, the motion of small particles in a chamber is a very
important factor to be considered. The equations motion of
particles in fluid were solved by Runge-Kutta method together
with the three dimensional Navier-Stokes equations and
continuity equation discretized by using finite difference
scheme. The convective terms were discretized by using upwind
difference and the viscous terms by using central difference.
The empirical drag formula was used to compute the resistance
of spherical particles moving in the fluid. Results of
numerical simulation showed good agreement with the
experimental results [12]. In this study, particles were
classified as two types of motion (1) the exhaust type and (2)
the adhesion type. Increasing the diameter of particles,
decreasing the Reynolds number or decreasing the space between
the baffle and the bottom of chamber increases the possibility
of adhering particles to the bottom of chamber.