• 作者： Lan, C.W.; Ting, C.C.; Yang, D.T.
• 中文摘要： 本文利用高韌性之牛頓有限體積法來計算半邊加熱懸浮熔區系統內之熱流及界面狀態。基於Boussinesq之假設守恆方程式及邊界條件皆以流線/旋度函數及溫度在一般化之適體座標表示,計算以高Pr值(Pr=9.12)之硝酸鈉為例,同時考慮自然對流、熱毛細流、未知界面形狀及總體質量守恆。
• 英文摘要： The finite volume method with an implementation of Newton's scheme is used to study steady heat transfer, fluid flow, and interfaces in a floating molten zone that is set up between a heating rod and a sample rod, i.e., the so- called half-zone system. Stream function/vorticity and temperature formulation of the Navier-Stokes equation, the energy equation, and their associated boundary conditions are written in generalized curvilinear coordinates and conservative-law form with Boussinesq approximation. Sample calculations are reported for sodium nitrate, a high- Prandtl-number material (Pr=9. 12). Both natural convection and thermocapillary flow in the molten zone, as well as unknown interfaces and an overall mass balance constraint, are considered. The effects of heating temperature, gravity, and surface tension gradient on the flow patterns and interfaces are illustrated through computer simulation.
• 中文關鍵字： 浮熔區; 熱毛細流; 牛頓方法; 界面; 電腦模擬; 熱傳遞
• 英文關鍵字： Floating Zone; Thermocapillary Flow; Newton's Method; Interface; Computer Simulation; Heat Transfer