连铸结晶器边界热流估算的非稳态传热反问题新方法
Novel Methodologies for Solving the Inverse Unsteady Heat Transfer Problem of Estimating the Boundary Heat Flux in Continuous Casting Molds
摘要：
在这项工作中，我们调查的瞬态结晶器板坯热流在连铸结晶器中给出了一些热电偶测量结晶器板的估计。在数学上，我们可以把这个问题看作是在域内给定逐点状态观测的Neumann边界条件的估计。我们制定它在一个确定性的逆问题设置。在介绍了工业问题后，我们提出了模具热模型和相关假设。然后，我们制定了边界热流密度估计问题的确定性反问题设置使用顺序的方法，根据温度测量的顺序性。我们考虑反问题的不同配方。对于每一个，我们开发新的直接方法，利用空间参数化的热通量和线性的模具模型。我们构建这些方法分为一个计算昂贵的离线阶段，可以计算之前的过程开始，和一个便宜的在线阶段，在铸造过程中进行。最后，我们在两个基准案例中测试了所提出的方法的性能。
英文摘要：
In this work, we investigate the estimation of the transient mold-slab heat flux in continuous casting molds given some thermocouples measurements in the mold plates. Mathematically, we can see this problem as the estimation of a Neumann boundary condition given pointwise state observations in the interior of the domain. We formulate it in a deterministic inverse problem setting. After introducing the industrial problem, we present the mold thermal model and related assumptions. Then, we formulate the boundary heat flux estimation problem in a deterministic inverse problem setting using a sequential approach according to the sequentiality of the temperature measurements. We consider different formulations of the inverse problem. For each one, we develop novel direct methodologies exploiting a space parameterization of the heat flux and the linearity of the mold model. We construct these methods to be divided into a computationally expensive offline phase that can be computed before the process starts, and a cheaper online phase to be performed during the casting process. To conclude, we test the performance of the proposed methods in two benchmark cases.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
