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基于顺序函数法(sequential function specification method,SFSM),通过求解二维非稳态导热反问题,建立了预测加热炉内钢坯表面热流分布的热模型,采用有限容积法获得整个加热过程的钢坯温度分布,利用仿真试验验证了本文所提出的热模型,并讨论了测量误差对反演结果的影响,结果表明,本文方法可以准确预测钢坯上表面和侧面随时间变化的热流分布.当温度测量误差较大时,可通过应用残差原理确定SFSM中未来时间步的最优值r_(opt),以抑制反问题的不适定性,改善反演效果.
Based on the sequential function specification method (SFSM), a thermal model for predicting the heat flow distribution in the furnace surface was established by solving the two-dimensional unsteady thermal inverse problem. The finite volume method was used to obtain the temperature distribution of the billet during the heating process , The thermal model proposed in this paper is validated by simulation and the effect of measurement error on the inversion results is discussed.The results show that the proposed method can accurately predict the heat flux distribution over the surface and side of billet with time.When the temperature measurement error is more In large time, the optimal value r_ (opt) of future time step in SFSM can be determined by applying residual principle to suppress the ill-posedness of inverse problem and improve the inversion effect.