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侧向局部加热对流的周期性
引用本文:宁利中,张迪,宁碧波,李开继,田伟利,滕素芬.侧向局部加热对流的周期性[J].应用数学和力学,2020(2):125-133.
作者姓名:宁利中  张迪  宁碧波  李开继  田伟利  滕素芬
作者单位:西安理工大学省部共建西北旱区生态水利国家重点实验室;嘉兴学院建筑工程学院;兰州建设投资(控股)集团有限公司;上海大学建筑系
基金项目:国家自然科学基金(10872164)~~
摘    要:通过流体力学方程组的数值模拟,研究了侧向局部加热条件下Prandtl数Pr=0.0272时流体对流的周期性.结果表明:随着Grashof数Gr的增加,对流按稳态对流、单局部周期对流、双局部周期对流、准周期对流的顺序发展.当Gr<3.6×103时,对流为稳态;在3.6×103
关 键 词:侧向局部加热  单局部周期对流  双局部周期对流  准周期对流

Periodicity of Convection Under Lateral Local Heating
NING Lizhong,ZHANG Di,NING Bibo,LI Kaiji,TIAN Weili,TENG Sufen.Periodicity of Convection Under Lateral Local Heating[J].Applied Mathematics and Mechanics,2020(2):125-133.
Authors:NING Lizhong  ZHANG Di  NING Bibo  LI Kaiji  TIAN Weili  TENG Sufen
Institution:(State Key Laboratory of Eco⁃Hydraulics in Northwest Arid Region of China,Xi’an University of Technology,Xi’an 710048,P.R.China;College of Civil Engineering and Architecture,Jiaxing University,Jiaxing,Zhejiang 314001,P.R.China;Lanzhou Construction Investment(Holding)Group Co.Ltd.,Lanzhou 730000,P.R.China;Department of Architecture,Shanghai University,Shanghai 200444,P.R.China)
Abstract:The periodicity of convection under lateral local heating with Prandtl number Pr=0.0272 was studied through numerical simulation of hydrodynamic equations.The results show that,convection develops in the order of steady⁃state convection,single⁃local⁃period convec⁃tion,double⁃local⁃period convection and quasi⁃period convection with the increase of Grashof number Gr.Convection is steady for Gr<3.6×103.In the range of 3.6×1033.5×106,convection has a quasi period.In the steady convection case,the position of the convection roll corresponding to the heating zone on the wall does not change with time.In the single⁃local⁃period convection case,the core of the convection roll corre⁃sponding to the upper heating zone on the wall moves periodically with time.In the double⁃lo⁃cal⁃period convection case,the cores of the convection rolls corresponding to the 2 heating zones on the wall move periodically with time.In the quasi⁃period convection case,there are small convection rolls with quasi⁃period variations in the upper and lower parts of the convec⁃tion loop corresponding to the lower unheated zone on the wall.In the range of the convection periods mentioned above,the convection period decreases with the increase of Grashof number Gr for given Prandtl number Pr.
Keywords:lateral local heating  single⁃local⁃period convection  double⁃local⁃period convec⁃tion  quasi⁃period convection
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