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微分约束方法在求解二阶流体精确解上的应用

张道祥 冯素晓 卢志明 刘宇陆

张道祥, 冯素晓, 卢志明, 刘宇陆. 微分约束方法在求解二阶流体精确解上的应用[J]. 应用数学和力学, 2009, 30(4): 379-387.
引用本文: 张道祥, 冯素晓, 卢志明, 刘宇陆. 微分约束方法在求解二阶流体精确解上的应用[J]. 应用数学和力学, 2009, 30(4): 379-387.
ZHANG Dao-xiang, FENG Su-xiao, LU Zhi-ming, LIU Yu-lu. Application of Differential Constraints Method on Solving Exact Solutions of a Second-Grade Fluid[J]. Applied Mathematics and Mechanics, 2009, 30(4): 379-387.
Citation: ZHANG Dao-xiang, FENG Su-xiao, LU Zhi-ming, LIU Yu-lu. Application of Differential Constraints Method on Solving Exact Solutions of a Second-Grade Fluid[J]. Applied Mathematics and Mechanics, 2009, 30(4): 379-387.

微分约束方法在求解二阶流体精确解上的应用

基金项目: 国家自然科学基金资助项目(10772110)
详细信息
    作者简介:

    张道祥(1979- ),男,安徽天长人,博士(E-mail:zdxiangp@yahoo.cn);卢志明,教授,博士(联系人.Tel:+86-21-56337398;E-mail:zmlu@shu.edu.cn).

  • 中图分类号: O357;O302

Application of Differential Constraints Method on Solving Exact Solutions of a Second-Grade Fluid

  • 摘要: 利用微分约束方法研究了二阶流体的精确解.通过使用一阶微分约束条件,不仅获得了具有抽吸作用下的Couette和Poiseuille平行流、碰撞射流、平面拉伸流等具有明确物理意义的流动解,而且获得了两类新的精确解.所得精确解表明二阶流体的流动特性不仅依赖于物质粘性参数,而且依赖物质弹性参数A·D2此外讨论了部分边值问题.
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出版历程
  • 收稿日期:  2008-02-19
  • 修回日期:  2009-02-13
  • 刊出日期:  2009-04-15

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