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反向凝固器內伴隨固液相變的湍流流動與傳熱的數值分析

Mathematical Model and Numerical Simulation of Turbulent Flow, Heat Transfer and Solidification in a Crystallizor of Inverse Casting

  • 摘要: 針對 Fe-C二元合金,建立了描述反向凝固器內伴隨相變的湍流流動和傳熱過程的二維穩態數學模型.應用連續統一方程模擬固液相變過程,并假設兩相區為疏松介質,對其中的流動應用Darcy法則.湍流現象則通過Launder-Sharma的к-ε雙方程低雷諾數修正模型描述.采用Simple算法對凝固器內的速度場和溫度場進行了模擬計算,并討論了母帶的厚度、入口溫度和補充鋼液的過熱度等操作參數對相變過程的影響.分析表明母帶停留時間是影響新生相生長的關鍵參數,即反向凝固器高度與母帶拉速的比值應控制在一定的范圍內.

     

    Abstract: A steady state, two-dimensional numerical model is undertaken to describe coupled liquid steel's turbulent flow and heat transfer with solidification for the Fe-C binary alloy in a crystallizor of inverse casting. The solid-liquid phase change phenomena are modeled by using the continuum formulations and considering the mush zone as porous media. The turbulence flow in the crystallizor is accounted for, using a modified version of the low-Reynolds-number κ-ε turbulence model. The flow pattern in liquid zones and the temperature distribution in solid, mushy and liquid regions are predicted. The numerical analysis indicates that the residence time of the mother sheet in the crystallizor is one of the key parameters. The effects of some other main parameters on the solidification behavior are also studied, such as the thickness and the initial temperature of the mother sheet, the superheat degree of liquid steel, etc.

     

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