Numerical analysis of the hot fin’s width effect on natural convection of air enclosed in a 2D complex square cavity
Received:May 21, 2009  Revised:July 09, 2010
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DOI:10.7511/jslx201103014
KeyWord:hot fin  fin’s width  complex square cavity  natural convection  mesh resolution
        
AuthorInstitution
王小华 浙江大学 航空航天学院 流体工程研究所,杭州
魏英杰 哈尔滨工业大学 航空航天学院,哈尔滨
朱文芳 浙江科技学院 建工学院,杭州
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Abstract:
      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.