Application of Differential Constraints Method on Solving Exact Solutions of a Second-Grade Fluid
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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.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.
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Key words:
- non-Newtonian fluid /
- differential constraints method /
- second-grade fluid
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