A comprehensive analysis of conduction-controlled rewetting by the Heat Balance Integral Method
A comprehensive analysis of conduction-controlled rewetting by the Heat Balance Integral Method
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热平衡积分法综合分析传导控制再润湿
DOI：
10.1016/j.ijheatmasstransfer.2006.05.038
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
S. Bhattacharyya
中科院分区：
文献类型：
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作者：
S. Sahu;P. Das;S. Bhattacharyya
采用热平衡积分法（HBIM）求解了湿侧传热系数恒定、干侧传热可忽略的热垂直表面两区导热控制再湿模型。的HBIM产生一个简单的封闭形式的解决方案，在干燥和潮湿的区域，对于给定的毕奥数的再润湿速度和温度分布。用这种方法可以导出一维物体和二维板、杆的统一关系。对流的影响由有效的毕奥数表示，其确切值取决于几何和工艺参数。发现解与Duffey和Porthouse [R.B. Duffey，D.T.C Porthouse，水反应堆应急堆芯冷却中的再润湿物理，核工程设计。25（1973）379-394]、Thompson [T.S.汤敏，热干块再润湿过程中湿侧传热系数的分析，Nucl. Eng. Des。22（1972）212-224]和Sun等人[K.H. Sun，G.E. Dix，C.L.田文龙，热液降膜法冷却垂直壁面之研究，机械工程学报，第96卷，第126-131页，1974年。Sun，G.E. Dix，C.L. Tien，对流冷却对降膜再润湿的影响，ASME J.热传递97（1974）360-365]。与实验结果也观察到良好的协议。
A two region conduction-controlled rewetting model of hot vertical surfaces with a constant wet side heat transfer coefficient and negligible heat transfer from dry side is solved by the Heat Balance Integral Method (HBIM). The HBIM yields a simple closed form solution for rewetting velocity and temperature distribution in both dry and wet regions for given Biot numbers. Using this method it has been possible to derive a unified relationship for one-dimensional object and two-dimensional slab and rod. The effect of convection is expressed by an effective Biot number whose exact value depends on the geometry and process parameters. The solutions are found to be exactly the same as reported by Duffey and Porthouse [R.B. Duffey, D.T.C Porthouse, The physics of rewetting in water reactor emergency core cooling, Nucl. Eng. Des. 25 (1973) 379–394], Thompson [T.S. Thompson, An analysis of the wet-side heat transfer coefficient during rewetting of a hot dry patch, Nucl. Eng. Des. 22 (1972) 212–224] and Sun et al. [K.H. Sun, G.E. Dix, C.L. Tien, Cooling of a very hot vertical surface by falling liquid film, ASME J. Heat Transfer 96 (1974) 126–131; K.H. Sun, G.E. Dix, C.L. Tien, Effect of precursory cooling on falling-film rewetting, ASME J. Heat Transfer 97 (1974) 360–365]. Good agreement with experimental results is also observed.