大高宽比矩形腔体侧向正弦加热下对流扰动的成长和传热特性  

Growth of convective disturbances and heat transfer characteristics under sinusoidal heating from side

作　　者：宁利中[1] 李开继 宁碧波[3] 田伟利[4] NING Lizhong;LI Kaiji;NING Bibo;TIAN Weili(State Key Laboratory of Eco-hydraulics in Northwest Arid Region of China,Xi'an University of Technology,710048 Xi'an,China;CCCC Second Highway Engineering CO.LTD.,710065 Xi'an,China;College of Civil Engineering and Architecture,Jiaxing University,414001 Jiaxing,China;Department of Architecture,Shanghai University,200444 Shanghai,China)

机构地区：[1]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,西安710048 [2]中交第二公路工程局有限公司,西安710065 [3]嘉兴学院建筑工程学院,嘉兴314001 [4]上海大学建筑系,上海200444

出　　处：《应用力学学报》2024年第1期200-205,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(No.10872164);西北旱区生态水利国家重点实验室基金资助项目(No.2017ZZKT-2)。

摘　　要：为了研究矩形腔体侧向正弦周期加热条件下对流扰动的成长和传热特性,本研究对流体力学方程组进行了数值模拟。结果表明:随着格拉晓夫数Gr的增加,对流扰动的最大振幅Amax的成长率变大,线性成长阶段的时间变短。对于高宽比A=10,腔体宽度d=2cm的腔体,普朗特数Pr=6.949的流体,对流扰动的成长率γ_(m)随着格拉晓夫数Gr变化的经验式为γ_(m)=9×10^(-8)Gr^(1.2343);对于高宽比A=10、腔体宽度d=6cm的腔体,普朗特数Pr=0.703的流体,成长率m随着格拉晓夫数Gr的变化关系式为m=8×10^(-4)Cr^(0.52)。当Pr=0.0272时,热壁面平均努塞尔数Nu和格拉晓夫数Gr的关联式为Nu=0.00002Gr^(1.17);当Pr=6.949时,Nu=0.00024Gr^(1.05)。随着格拉晓夫数Gr数增加,右壁面的传热能力增强。In order to study the growth of convective disturbance and heat transfer characteristics of rectangular cavity with sinusoidal periodic heating,the hydrodynamic equations were numerically simulated.The results showed that with the increase of Grashof number Gr,the growth rate of maximum amplitude A max of convective disturbance increases while the time of linear growth phase decreases.For a cavity with aspect ratio A=10 and a width d=2 cm and for the fluid with Prandtl number Pr=6.949,the empirical formula of the growth rateγm of convective disturbance varying with Graschof number isγm=9×10^(-8) Gr 1.2343.For a cavity with A=10 and d=6 cm and for the fluid with Pr=0.703,the empirical formula of the growth rateγm varing with Graschof number isγm=8×10^(-4) Gr 0.52.At Pr=0.0272,the correlation between the average Nusselt number Nu of the hot wall and Graschof number is Nu=0.00002Gr 1.17;at Pr=6.949,the correlation is Nu=0.00024Gr 1.05.The heat transfer capacity of the right wall increases with the increase of Graschof number.

关 键 词：矩形腔体 侧向正弦周期加热 对流扰动 成长率 传热能力 

分 类 号：O357[理学—流体力学]