Application of differential constraint method to exact solution of second-grade fluid
Application of differential constraint method to exact solution of second-grade fluid
复制标题
微分约束法在二级流体精确求解中的应用
DOI：
10.1007/s10483-009-0401-x
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
卢志明
中科院分区：
文献类型：
--
作者：
卢志明
利用微分约束法求出了二阶流体流动的解析解。利用一阶微分约束条件，导出了Poiffille流、受抽吸力或吹气力作用的射流和Couette流以及平面拉伸流的精确解。此外，还得到了二阶流体流动的两类新的精确解，所得到的精确解表明，非牛顿二阶流动不仅依赖于材料的粘性，而且还依赖于材料的弹性。最后讨论了一些边值问题。
A differential constraint method is used to obtain analytical solutions of a second-grade fluid flow. By using the first-order differential constraint condition, exact solutions of Poiseuille flows, jet flows and Couette flows subjected to suction or blowing forces, and planar elongational flows are derived. In addition, two new classes of exact solutions for a second-grade fluid flow are found. The obtained exact solutions show that the non-Newtonian second-grade flow behavior depends not only on the material viscosity but also on the material elasticity. Finally, some boundary value problems are discussed.