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等热流密度加热垂直下降液膜的研究
A study on a vertical falling liquid film on a uniformly heated plate with constant heat flux
投稿时间:2017-11-14  修订日期:2017-12-23
DOI:
中文关键词:  等热流加热  下降液膜  线性稳定性分析  数值模拟
英文关键词:constant heat flux  falling liquid film  linear stability analysis  numerical simulation
基金项目:The National Natural Science Foundation of China (General Program, Key Program, Major Research Plan);国家自然科学基金项目(面上项目,重点项目,重大项目)
作者单位E-mail
王萌 清华大学 m-wang15@mails.tsinghua.edu.cn 
刘杰斌 中国核电工程有限公司  
姜胜耀 清华大学  
段日强 清华大学 duanrq@mail.tsinghua.edu.cn 
摘要点击次数: 26
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中文摘要:
      薄膜流动广泛应用于工程热物理中。目前对降膜流动的研究多集中于无加热或定温加热的情况,对等热流密度加热的降膜流动研究很少。本文利用基于已有的推导等热流密度加热条件下降膜流动二维模型方程的方法而建立的三维模型方程进行线性稳定性分析和数值模拟。线性稳定性分析表明此模型方程在小到中等Reynolds数下都是适用的,并且流向的不稳定性增长率和随着Reynolds数和Marangoni数增加而增加,展向的不稳定性增长率则随着Marangoni数增加而增加,随着Reynolds数增加而减小,流向和展向对外部扰动都存在一个不稳定区间。三维数值模拟表明,等热流密度加热条件下液膜流动,在随机扰动的情况下最终会形成带孤立波的三维溪流状结构,液膜与气体的换热也因溪流状结构的出现而加强;在随机扰动的基础上只要引入占优势地位的展向最不稳定扰动就会使得换热增强,液膜也会提前破裂;而在随机扰动的基础上只引入占优势地位的流向最不稳定扰动时,液膜的换热会增强,但不会提前破裂。
英文摘要:
      A three-dimensional regularized model (RM) based on the two-dimensional regularized model which already exists was used to study vertical falling liquid film on a uniformly heated plate with constant heat flux. Linear stability analysis shows that RM is applicable from small to moderate Reynolds number; streamwise growth rate increases as Reynolds number and Marangoni number increase, and spanwise growth rate increases as Marangoni number increases, but decreases as Reynolds number increases; for streamwise and spanwise growth rates, there exist an unstable interval of disturbance wavenumber. Three-dimensional numerical simulation shows that a random disturbance can give rise to three-dimensional rivulet structures after a sufficient evolution of the film layer, and thus heat transfer between liquid and gas is enhanced; the three-dimensional rivulet structures arise earlier and heat transfer is enhanced as long as a dominant most unstable spanwise disturbance is added to the film besides random disturbance, but the rupture of liquid film occurs earlier; the heat transfer is enhanced and the liquid film doesn’t rupture earlier under the circumstance that only a dominant most unstable streamwise disturbance is added besides random disturbances.
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