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Modelling of bath/ledge heat transfer in Hall-Heroult cells.

机译:霍尔-赫罗尔特单元中的浴/壁架传热模型。

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Heat transfer through the sidewall accounts for a significant proportion of the energy loss from an aluminium reduction cell. At the same time, the ledge formed on the sidewall has important consequences with regards to the cell service life and the dynamic heat balance during various disturbances associated with the smelting operation such as alumina feeding, anode changing, metal tapping and anode effect. Several studies have been carried out to investigate the ledge heat transfer. However, the reported heat transfer coefficients in the literature not only vary over a wide range of values but provide insufficient information on the ledge heat transfer.; A heat transfer probe and measurement techniques were developed for studying the ledge heat transfer in a full-scale 3-D air-water model. Quantitative measurements were conducted to determine the bath/ledge heat transfer characteristics at various positions, and under different operating conditions such as anode-ledge distance, current density and bath depth. Variation of the heat transfer were also examined as a function of the anode bottom inclination, the anode slot width and the position on the side ledge relative to the anode slot. The results illustrate that the ledge profile in an operating cell will take on a different shape in compliance with the heat transfer variation.; A similitude analysis was carried out to interpret the measured results in a meaningful manner for use in a reduction cell. As a result, the heat transfer coefficient in industrial cells under various operating parameters, and at different positions on the side ledge, can be estimated using the empirical correlations presented.; Gas bubble behaviour and bubble impingement on the side ledge were observed in the water model. Observations made on the 2-D and 3-D water models indicate that anode gas evolution in the 3-D model cell will reflect more closely the flow pattern in actual cells and hence provide more reliable quantitative results.; A simple 2-D thermal model for the prediction of ledge thickness and profile as a moving boundary was developed and solved simply and efficiently with a commercial spreadsheet software using the finite difference method. The ledge profile was predicted using the ledge heat transfer coefficients measured extensively from the full-scale 3-D physical model. The results show that the ledge shape is highly sensitive to the positional variation of the heat transfer coefficient. It is also shown that the ledge heat transfer coefficients obtained from industrial measurements assuming 1-D heat flow are much lower than the actual values in a Hall-Heroult cell.; A transient thermal model derived by considering the Stefan problem{dollar}sp{lcub}*{rcub}{dollar} for the sidewall/ledge region was developed. A fixed-grid and deforming-grid spacing were respectively superimposed on the sidewall and the ledge region in order to track the moving front of the phase change zone. Various aspects of the process dynamics with respect to the variation of ledge thickness and sidewall shell temperature were presented. The model considered dynamic heat loss through the sidewall which results in a closer approximation to the real situation. ftn{dollar}sp{lcub}*{rcub}{dollar}N.B.: In the strict sense the problem of the ledge is not a classical Stefan problem. The classical Stefan problem involves conduction on both sides of the interface. The ledge problem involves conduction on the side and convection on the other.
机译:通过侧壁的热传递占铝还原池能量损失的很大一部分。同时,侧壁上形成的凸缘对于电池的使用寿命和在与熔炼操作相关的各种干扰(例如氧化铝进料,阳极更换,金属出铁和阳极效应)期间的动态热平衡方面具有重要的意义。已经进行了一些研究来研究壁架的热传递。然而,文献中报道的传热系数不仅在很宽的数值范围内变化,而且提供的壁架传热信息也不充分。开发了一种传热探针和测量技术,用于研究全尺寸3D空气-水模型中的壁架传热。进行了定量测量,以确定在不同位置以及在不同的工作条件下,如阳极-壁架距离,电流密度和浴池深度的熔池/壁架传热特性。还根据阳极底部倾斜度,阳极槽宽度和相对于阳极槽的侧凸缘上的位置来检查传热的变化。结果表明,根据传热变化,操作室中的壁架轮廓将呈现不同的形状。进行了相似度分析,以有意义的方式解释了测量结果,可用于还原池。结果,可以使用所呈现的经验相关性来估计在各种操作参数下以及在侧凸缘的不同位置处的工业电池中的传热系数。在水模型中观察到气泡行为和侧面壁架上的气泡撞击。对2-D和3-D水模型的观察表明,在3-D模型池中的阳极气体逸出将更紧密地反映实际池中的流态,从而提供更可靠的定量结果。开发了一种简单的二维热模型,用于预测壁架厚度和轮廓作为移动边界,并使用有限差分法使用商业电子表格软件简单有效地对其进行了求解。使用从全尺寸3D物理模型中广泛测量的壁架传热系数来预测壁架轮廓。结果表明,壁架形状对传热系数的位置变化高度敏感。还表明,从工业测量获得的壁架传热系数假设一维热流比霍尔-霍尔特单元的实际值低得多。通过考虑侧壁/壁架区域的Stefan问题{dol} sp {lcub} * {rcub} {dollar},得出了一个瞬态热模型。固定栅格和变形栅格的间隔分别叠加在侧壁和壁架区域上,以便跟踪相变区的移动前沿。提出了关于壁架厚度和侧壁壳温度变化的过程动力学的各个方面。该模型考虑了通过侧壁的动态热损失,从而导致更接近实际情况。 ftn {dollar} sp {lcub} * {rcub} {dollar} N.B .:从严格意义上讲,窗台的问题不是经典的Stefan问题。经典的Stefan问题涉及界面两侧的传导。壁架问题涉及到一侧的传导和另一侧的对流。

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