基于边界元法的高炉炉底炉缸侵蚀模型

Mathematical Model for Prediction of Bottom and Hearth of Blast Furnace by Boundary Element Method

通过边界元法建立了高炉炉底炉缸传热数学模型.采用基尔霍夫变换把非线性问题转化为线性问题,解决了利用边界元法建立高炉炉底炉缸侵蚀模型把导热系数看成常数而造成计算精度下降的问题.求解控制高炉炉底炉缸传热过程的热传导方程,再通过正交试验的方法确定满足实测边界温度分布的侵蚀边界.该模型可在线预测高炉炉底炉缸1150°C等温线的位置和形状,以了解和分析炉底炉缸的破损情况.结果表明,监测点热电偶温度值和模型计算值吻合较好.

A mathematical model of on-line prediction of bottom and hearth in blast furnace by boundary element method was established, and a nonlinear heat conduction problem was considered. And Kirchhoff transformation was used for nonlinear heat conduction. The conduction equations controlling the transfer process at the bottom and hearth of blast furnace were solved, and the erosion boundary satisfying the experimental temperature distribution on the boundary was determined by the method of orthogonal experiment. The 1150°C isotherm as a reference profile of the erosion of the bottom and hearth was calculated through on-line application. The actual calculation shows the computed results are in good agreement with the measured results.