连铸结晶器内钢液凝固热传导有限元方法

连铸结晶器内钢液的传热可视为一个稳态过程,可用依赖于拉坯速度的三维稳态热传导方程描述.本文针对该稳态模型,采用Galerkin加权余量法推导考虑第一类边界条件、第二类边界条件和第三类边界条件的有限元方程,得到非对称的系统方程.编制了相应的有限元程序,并用此程序计算分析一个Q235小方坯连铸实例,得到铸坯的温度场.本文给出的有限元方法对连续铸造中铸坯形成过程的热力耦合问题的深入研究具有重要意义.

Finite Element Method of 3D Stable Heat Conduction of Steel Fluid in Continuous Casting Moulds

The heat transfer of steel fluid in continuous casting mould is a stable process and can be depicted with three-dimensional stable heat conduction equation depending on tension speed. The corresponding finite element equation, including the first, second and third boundary conditions, is deduced out with Galerkin residual method. The coded FEM program is used to analyze the temperature distribution of Q235 steel in continuous billet casting mould. The method proposed is a foundation of thermo-mechanical coupled analysis for the formation of solidified shells and stress in the shells in continuous casting.