Blast furnace layer lining erosion problem based on inverse the heat conduction model
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摘要: 基于傳熱反問題,建立了高爐爐襯侵蝕過程的數學模型,確定了模型的邊界條件,并采用共軛梯度法將反問題分解為三個問題:正問題、靈敏度問題和伴隨問題進行求解.通過不同形狀函數的反演結果證明了其可行性,并分別研究初始猜測形狀曲線、測點數等對反演結果的影響.研究結果表明,初始猜測曲線的選取對反演結果影響很小,充分說明該方法不受初始猜測曲線的限制,具有較好的通用性.而測點數的選取對反演結果有一定的影響,測點數越多,曲線特征被捕捉的越好.但在保證得到曲線特征的前提下,較少的測點數也能得到比較滿意的反演結果,平均相對誤差控制在3%以內.Abstract: 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.
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參考文獻
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