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两个同心旋转圆柱之间的两种流体的交界面几何形状问题

李开泰 史峰

李开泰, 史峰. 两个同心旋转圆柱之间的两种流体的交界面几何形状问题[J]. 应用数学和力学, 2008, 29(10): 1237-1248.
引用本文: 李开泰, 史峰. 两个同心旋转圆柱之间的两种流体的交界面几何形状问题[J]. 应用数学和力学, 2008, 29(10): 1237-1248.
LI Kai-tai, SHI Feng. Geometric Shape of Interface Surface of Bicomponent Flows Between Two Concentric Rotating Cylinders[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1237-1248.
Citation: LI Kai-tai, SHI Feng. Geometric Shape of Interface Surface of Bicomponent Flows Between Two Concentric Rotating Cylinders[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1237-1248.

两个同心旋转圆柱之间的两种流体的交界面几何形状问题

基金项目: 国家自然科学基金资助项目(10571142;10771167)
详细信息
    作者简介:

    李开泰(1937- ),男,福建人,教授(联系人.Tel:+86-29-82669051;E-mail:ktli@mail.xjtu.edu.cn).

  • 中图分类号: O357;O176

Geometric Shape of Interface Surface of Bicomponent Flows Between Two Concentric Rotating Cylinders

  • 摘要: 研究两个同心旋转圆柱之间的两种流体的交界面几何形状问题.利用张量分析工具,给出了忽略耗散能量影响下交界面几何形状是一种能量泛函的临界点,其对应的Euler-Lagrange方程是1个非线性椭圆边值问题.对于粘性引起的耗散能量不能忽略的情况下,同样给出了1个带有耗散能量的能量泛函,其临界点是交界面几何形状,相应的Euler-Lagrange方程也是1个二阶的非线性椭圆边值问题.这样,交界面几何形状问题转化为求解非线性椭圆边值问题.
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出版历程
  • 收稿日期:  2008-02-01
  • 修回日期:  2008-08-22
  • 刊出日期:  2008-10-15

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