基于传热反问题的高炉炉衬单层侵蚀模型

基于传热反问题,建立了高炉炉衬侵蚀过程的数学模型,确定了模型的边界条件,并采用共轭梯度法将反问题分解为三个问题:正问题、灵敏度问题和伴随问题进行求解.通过不同形状函数的反演结果证明了其可行性,并分别研究初始猜测形状曲线、测点数等对反演结果的影响.研究结果表明,初始猜测曲线的选取对反演结果影响很小,充分说明该方法不受初始猜测曲线的限制,具有较好的通用性.而测点数的选取对反演结果有一定的影响,测点数越多,曲线特征被捕捉的越好.但在保证得到曲线特征的前提下,较少的测点数也能得到比较满意的反演结果,平均相对误差控制在3％以内.

Blast furnace layer lining erosion problem based on inverse the heat conduction model

A blast furnace lining mathematical model was established based on the inverse heat transfer problem.After determining the boundary conditions of the model,this inverse heat transfer problem is divided into three problems which are the direct problem,the sensitivity problem and the adjoint problem,and these were solved using the conjugate gradient method.The feasibility of this model was proved by the inversion results of different shape functions and then it was discussed that the initial guess shape and number of measurement points effect on the inversion results.The results show that the accuracy of the inverse solution is independent of the the initial guess shape,but the number of measurement points has some impact on these results,whereby the more points are measured,the better the curve features are captured.An accurate inverse solution can be obtained with fewer measurement points and an average relative error within 3％,even though the arrangement of more points can achieve a slightly better solution.