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热泳和Brown运动对太阳能辐射下热分层纳米流体边界层流动的影响

N·安布泽志昂 K·斯里尼瓦桑 K·钱德拉塞卡兰 R·坎达沙密

N·安布泽志昂, K·斯里尼瓦桑, K·钱德拉塞卡兰, R·坎达沙密. 热泳和Brown运动对太阳能辐射下热分层纳米流体边界层流动的影响[J]. 应用数学和力学, 2012, 33(6): 726-739. doi: 10.3879/j.issn.1000-0887.2012.06.007
引用本文: N·安布泽志昂, K·斯里尼瓦桑, K·钱德拉塞卡兰, R·坎达沙密. 热泳和Brown运动对太阳能辐射下热分层纳米流体边界层流动的影响[J]. 应用数学和力学, 2012, 33(6): 726-739. doi: 10.3879/j.issn.1000-0887.2012.06.007
N.Anbuchezhian, K.Srinivasan, K.Chandrasekaran, R.Kandasamy. Thermophoresis and Brownian Motion Effects on Boundary-Layer Flow of a Nanofluid in the Presence of Thermal Stratification Due to Solar Energy[J]. Applied Mathematics and Mechanics, 2012, 33(6): 726-739. doi: 10.3879/j.issn.1000-0887.2012.06.007
Citation: N.Anbuchezhian, K.Srinivasan, K.Chandrasekaran, R.Kandasamy. Thermophoresis and Brownian Motion Effects on Boundary-Layer Flow of a Nanofluid in the Presence of Thermal Stratification Due to Solar Energy[J]. Applied Mathematics and Mechanics, 2012, 33(6): 726-739. doi: 10.3879/j.issn.1000-0887.2012.06.007

热泳和Brown运动对太阳能辐射下热分层纳米流体边界层流动的影响

doi: 10.3879/j.issn.1000-0887.2012.06.007
详细信息
  • 中图分类号: O357.1

Thermophoresis and Brownian Motion Effects on Boundary-Layer Flow of a Nanofluid in the Presence of Thermal Stratification Due to Solar Energy

  • 摘要: 在太阳辐射下的纳米流体中,数值地研究竖向延伸壁面具有可变流条件时的层流运动.使用的纳米流体模型为,在热分层中综合考虑了Brown运动和热泳的影响.应用一个特殊形式的Lie群变换,即缩放群变换,得到相应边值问题的对称群.对平移对称群得到一个精确解,对缩放对称群得到数值解.数值解依赖于Lewis数、Brown运动参数、热分层参数和热泳参数.得到结论:上述参数明显地影响着流场、温度和纳米粒子体积率的分布.显示出纳米流体提高了基流体热传导率和对流的热交换性能,基流体中的纳米粒子还具有改善液体辐射性能的作用,直接提高了太阳能集热器的吸热效率.
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出版历程
  • 收稿日期:  2011-07-14
  • 修回日期:  2011-12-05
  • 刊出日期:  2012-06-15

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