广义二阶流体涡流速度的衰减和温度扩散

沈芳; 谭文长; 赵耀华; T·增冈隆士

广义二阶流体涡流速度的衰减和温度扩散

1.
北京大学力学与工程科学系,湍流与复杂系统研究国家重点实验室,北京 100871;2.中国科学院空间科学与应用研究中心空间天气学重点实验室,北京 100080;
九州大学机械工程科学系,福冈,812_8581 日本;4.中国科学院工程热物理研究所,北京 100080

基金项目: 日本学术振兴会基金资助项目(P02325);国家自然科学基金资助项目(10372007)

详细信息

作者简介:
沈芳(1977- ),女,河北张家口人,博士(E-mail:fshen@spaceweather.ac.cn);谭文长(联系人.Tel:+86-10-62754244;Fax:+86-10-62751812;E-mail:tanwch@mech.pku.edu.cn).

中图分类号: O357.1
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- 文章访问数: 2953
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出版历程
- 收稿日期: 2002-12-29
- 修回日期: 2004-03-12
- 刊出日期: 2004-10-15

Decay of Vortex Velocity and Diffusion of Temperature in a Generalized Second Grade Fluid

1.
Depar tment of Mechanics and Engineering Science, State Key Labora tory for bulence and Complex System Research, Peking University, Beijing 100871, P. R. China, Chinese Academy of Science, Beijing 100080, P. R. China;
Department of Mechanical Engineering Science, Kyushu University, Fukuoka, 812-8581, Japan;

摘要

摘要: 将分数阶微积分运算引入到二阶流体的本构关系中，建立了带分数阶导数的广义二阶流体模型．研究了广义二阶流体涡流速度的衰减和温度扩散，利用分数阶导数的Laplace变换和广义Mittag-Leffler函数，得到了涡流速度场和温度场的精确解，分析了分数阶指数对涡流速度的衰减和温度扩散的影响．
- 广义二阶流体 /
- 分数阶微积分 /
- 涡流 /
- 温度场 /
- 广义Mittag-Leffler函数
Abstract: The fractional calculus approach in the constitutive relationship model of viscoelastic fluid was introduced.The velocity and temperature fields of the vortex flow of a generalized second fluid with fractional derivative model were described by fractional partial differential equations.Exact analytical solutions of these differential equations were obtained by using the discrete Laplace transform of the sequential fractional derivatives and generalized Mittag-Leffler function.The influence of fractional coefficient on the decay of vortex velocity and diffusion of temperature was also analyzed.
- generalized second grade fluid /
- fractional calculus /
- unsteady flow /
- temperature field /
- generalized Mittag-Leffler function

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参考文献(17)

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广义二阶流体涡流速度的衰减和温度扩散

作者简介:
沈芳(1977- ),女,河北张家口人,博士(E-mail:fshen@spaceweather.ac.cn);谭文长(联系人.Tel:+86-10-62754244;Fax:+86-10-62751812;E-mail:tanwch@mech.pku.edu.cn).

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Decay of Vortex Velocity and Diffusion of Temperature in a Generalized Second Grade Fluid

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广义二阶流体涡流速度的衰减和温度扩散

作者简介: 沈芳(1977- ),女,河北张家口人,博士(E-mail:fshen@spaceweather.ac.cn);谭文长(联系人.Tel:+86-10-62754244;Fax:+86-10-62751812;E-mail:tanwch@mech.pku.edu.cn).

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出版历程

Decay of Vortex Velocity and Diffusion of Temperature in a Generalized Second Grade Fluid

计量

出版历程

目录

作者简介:
沈芳(1977- ),女,河北张家口人,博士(E-mail:fshen@spaceweather.ac.cn);谭文长(联系人.Tel:+86-10-62754244;Fax:+86-10-62751812;E-mail:tanwch@mech.pku.edu.cn).