Numerical analysis of Marangoni Convection in Floating zone melting under Gravity - Free Condition
김태진Tae Jin Kim, 최용삼Yong Sahm Choe, 이진형Zin Hyung Lee, 강춘식Choon Sik Kang, 백홍구Hong Koo Baik
Abstract
Marangoni convection in the floating-zone melt under gravity-free condition was studied numerically by a finite difference method. The purpose of the computer simulation was to ana lyze the effect of pure Marangoni convection on the flow and temperature fields in the floating zone. The ranges and values of the parameters investigated were as followings : Ma number from 10¹-10^5, Re_6 number from 1-10⁴, Pr number 10, Aspect ratio 1, Gr number 0. All the solutions showed a single cell stream line pattern and the core of the cell was located at about three quarter radius away from the axis. For Ma number)10⁴, the heat transfer by Marangoni convection relieved the temperature gradient along the centerline(R=1) and the flow and temperature fields were little influenced by temperature gradient from a heat source. The form of thermal boundary layer and the shape of solidifying interface were discussed.