| 里亚普诺夫理论在热对流稳定性分析中的应用 |
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| 引用本文： | 贾琛霞,霍海娥,敬成君,秦萍.里亚普诺夫理论在热对流稳定性分析中的应用[J].热科学与技术,2010,9(1):1-5. |
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| 作者姓名： | 贾琛霞 霍海娥 敬成君 秦萍 |
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| 作者单位： | [1]四川建筑职业技术学院设备工程系,四川德阳618000 [2]成都航空职业技术学院,四川成都610021 [3]四川大学建筑与环境学院,四川成都610064 [4]西南交通大学机械工程学院,四川成都610031 |
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| 基金项目： | 国家自然科学基金项目(50876092) |
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| 摘 要： | 以熵产作为里亚普诺夫V-函数,以轴对称直拉法单晶生长系统中熔体热对流为应用对象,通过发展里亚普诺夫数值V-函数方法,研究了里亚普诺夫V-函数在数值热对流稳定性分析中的应用。结果表明:对于稳定定态,系统熵产生震荡减小;对于不稳定震荡对流,系统熵产生震荡增大。里亚普诺夫稳定性法所得稳定性结果与直接法和正交稳定性分析方法所得结果一致。研究找到了熵源强度分布和产生原因。
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| 关 键 词： | 里亚普诺夫V-函数 熵产生 稳定性 |
Application of Lyapounov theory to stability analysis of thermal convection system |
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| JIA Chen-xia,HUO Hai-e,JING Cheng-jun,Qin Ping.Application of Lyapounov theory to stability analysis of thermal convection system[J].Journal of Thermal Science and Technology,2010,9(1):1-5. |
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| Authors: | JIA Chen-xia HUO Hai-e JING Cheng-jun Qin Ping |
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| Affiliation: | JIA Chen-xia1,HUO Hai-e2,JING Cheng-jun3,Qin Ping4(1.Dept.Equip.Eng.,Sichuan College of Arch.Tech.,Deyang 618000,China,2.Chengdu Aeronautic Vocational , Technical College,Chengdu 610021,3.College of Arch., Enviro.,Sichuan Univ.,Chengdu 610064,4.School of Mech.Eng.,Southwest Jiaotong Univ.,Chengdu 610031,China) |
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| Abstract: | An application of Lyapounov V-function to numerical stability analysis of thermal convection system was studied by taking entropy production as Lyapounov V-function.The thermal convection system was an axisymmetrical melt flow in Czockralski (CZ) crystal growth system.The Lyapounov V-function was developed to numerical method.The results indicated that entropy production oscillatorily decay in the case of stationary convection,while entropy production oscillatorily increase in the case of unstable oscillato... |
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| Keywords: | Lyapounov V-function entropy production stability |
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