应用力学学报2024,Vol.41Issue(1) :200-205.DOI:10.11776/j.issn.1000-4939.2024.01.021

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

宁利中 李开继 宁碧波 田伟利
应用力学学报2024,Vol.41Issue(1) :200-205.DOI:10.11776/j.issn.1000-4939.2024.01.021

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

宁利中 1李开继 2宁碧波 3田伟利4
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作者信息

  • 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,710048西安
  • 2. 中交第二公路工程局有限公司,710065西安
  • 3. 嘉兴学院建筑工程学院,314001嘉兴
  • 4. 上海大学建筑系,200444上海
  • 折叠

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=2 cm的腔体,普朗特数Pr=6.949的流体,对流扰动的成长率γm随着格拉晓夫数Gr变化的经验式为γm=9 × 10-8Gr1.2343;对于高宽比A=10、腔体宽度d=6 cm的腔体,普朗特数Pr=0.703的流体,成长率γm随着格拉晓夫数Gr的变化关系式为γm=8 × 10-4 Gr0.52.当Pr=0.027 2时,热壁面平均努塞尔数(Nu)和格拉晓夫数Gr的关联式为(Nu)=0.00002Gr1.17;当Pr=6.949时,(Nu)=0.000 24Gr1.05.随着格拉晓夫数Gr数增加,右壁面的传热能力增强.

Abstract

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 Amax 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 rate γm of convective disturbance varying with Graschof number is γm=9 × 10-8 Gr1.2343.For a cavity with A=10 and d=6 cm and for the fluid with Pr=0.703,the empirical formula of the growth rate γm varing with Graschof number is γm=8 × 10-4 Gr0.52.At Pr=0.027 2,the correlation between the average Nusselt number(Nu)of the hot wall and Graschof number is(Nu)=0.000 02Gr1 17;at Pr=6.949,the correlation is(Nu)=0.000 24Gr1.05.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

Key words

rectangular cavity/sinusoidal periodic heating from side/convective disturbance/growth rate/heat transfer capacity

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基金项目

国家自然科学基金资助项目(10872164)

西北旱区生态水利国家重点实验室基金资助项目(2017ZZKT-2)

出版年

2024
应用力学学报
西安交通大学

应用力学学报

CSTPCD北大核心
影响因子:0.398
ISSN:1000-4939
参考文献量12
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