| 垂直平板层流自然对流的群论分析 |
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| 引用本文： | 夏晶.垂直平板层流自然对流的群论分析[J].空气动力学学报,1995,13(2):143-151. |
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| 作者姓名： | 夏晶 |
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| 作者单位： | 浙江大学 |
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| 摘 要： | 本文对由热、质最扩散和化学反应引起的垂直平板定常层流自然对流问题用Ｍｏｒｇａｎ变换群理论进行了分析，得到了壁面温度和浓度分布均按变化时的相似性方程组，并用Ｒｕｎｇｅ－Ｋｕｔｔａ方法和Ｎａｃｈｔｓｈｅｉｎ－Ｓｗｉｇｅｒｔ迭代法，在Ｐｒ＝０．７２和不同的施密特数Ｓ＿ｃ、反应阶ｎ和参数Ｐ、Ｑ下进行了数值求解。给出了相应的速度分布、温度分布和浓度分布曲线。
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| 关 键 词： | 自然对流 群论 相似性解 垂直平板层流 |
Group Theory Analysis for Laminar Natural Convection Flows from a Vertical Flat Plate |
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| Xu Xuezi,Xia Jing.Group Theory Analysis for Laminar Natural Convection Flows from a Vertical Flat Plate[J].Acta Aerodynamica Sinica,1995,13(2):143-151. |
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| Authors: | Xu Xuezi Xia Jing |
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| Institution: | Zhejiang University |
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| Abstract: | In this paper,applying Morgan's transformation groups theory,we analyzed the similarity solution for steady liminar natural convection flows caused by thermal,mass diffusion and chemical reaction from a vertical flat platc.When the plate temperature and concentration are allowed to vary like,we obtained similarity equations,Fur-thermore,using Runge-Kutta method and Nachtsheim-Swigert iterative method,we obtained numerical solution with different Schmidt number Sc,reaction order n and parameters P,Q at Pr=0.72,presented curves of the nondimensional velocity,temperature and concentration profiles,as well as corresponding conclusions. |
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| Keywords: | natural convection groups theory similarity solution |
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