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

微分约束方法在求解二阶流体精确解上的应用

1.
上海大学上海市应用数学和力学研究所,上海 200072;2.安徽师范大学数学与计算机科学学院,安徽芜湖 241000

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
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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

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

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;

摘要

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．
- 非Newton流体 /
- 微分约束方法 /
- 二阶流体
Abstract: Differential constraints method is used to investigate analytical solutions for a second-grade fluid flow.By the first-order differential constraint condition,some exact solutions of Poiseuille flows,jet flows and Couette flows subjected to suction or blowing forces,planar elongational flows were derived.In addition,two new classes of exact solutions for a second-grade fluid flow were found.Exact solutions obtained show that the non-Newtonian second-grade flow behavior depends on not only the material viscosity but also the material elasticity.Finally some boundary value problems were discussed.
- non-Newtonian fluid /
- differential constraints method /
- second-grade fluid

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参考文献(29)

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微分约束方法在求解二阶流体精确解上的应用

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).

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

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微分约束方法在求解二阶流体精确解上的应用

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).

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出版历程

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

计量

出版历程

目录

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).