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王小华,魏英杰,朱文芳.热肋片宽度对复杂方腔自然对流影响的数值分析[J].计算力学学报,2011,28(3):383~387
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热肋片宽度对复杂方腔自然对流影响的数值分析
Numerical analysis of the hot fin’s width effect on natural convection of air enclosed in a 2D complex square cavity
投稿时间:2009-05-21  修订日期:2010-07-09
DOI:10.7511/jslx201103014
中文关键词:  热肋片  肋片宽度  复杂方腔  自然对流  网格密度
英文关键词:hot fin  fin’s width  complex square cavity  natural convection  mesh resolution
基金项目:国家自然科学基金(50708030)资助项目.
作者单位E-mail
王小华 浙江大学 航空航天学院 流体工程研究所,杭州 310027 tommewang@yahoo.com.cn 
魏英杰 哈尔滨工业大学 航空航天学院,哈尔滨 150090  
朱文芳 浙江科技学院 建工学院,杭州 310012  
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中文摘要:
      采用笔者等发展的二阶全展开Euler-Taylor-Galerkin分裂步有限元方法,经过对算法精度验证,在确定不同网格密度对计算结果影响的基础上,确定出计算所需网格密度的必要条件,并在指定的网格密度条件下,分析了热肋片宽度对封闭方腔内典型自然对流流动的影响,流动对应的Pr=0.71,Ra=104。计算结果表明,随热肋片宽度的增加,方腔平均Nu数呈现出先减小后增加的趋势,转折点肋宽约为0.7,对应涡核从一个变为两个。
英文摘要:
      By using a second order Euler-Taylor-Galerkin (ETG) finite element method of fractional steps, numerical analysis of the hot fin’s width effect on natural convection of air enclosed in a 2D square cavity was carried out while keeping Pr=0.71. Code validation and mesh resolution effect estimation were conducted firstly. As the presented results agreed well with the benchmark ones provided by some literatures for natural convection of air enclosed in a square cavity, it was proved that the second order ETG method can be used in the computation. Moreover, as the results shown, in order to consider the grid independence, at least 80×80uniform square elements must be used. Grid of 100×100uniform square elements was then used to analyze the hot fin’s width effect on natural convection of air enclosed in a 2D complex square cavity. It was found that the hot fin’s width (W/B) had great influences on the flow characteristics. The averaged Nu decreased firstly with the increase in W/B. However, when W/B is higher than about 0.7, the averaged Nu increased then with further increase in W/B. Furthermore, it is observed that the flow patterns bifurcated from steady unicellular structure to steady bi-cellular structure correspondingly.
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