研究具有先驱膜的流体团扩散的模型．流体团和先驱膜作为一个整体用与组分序参数耦合的Navier- Stokes方程,CHW(Cahn,Hilliard,van der Waales)方程和GNBC(广义Navier边界条件)进行数值模拟和分析．流体团在VW(van der Waals)分子长程...研究具有先驱膜的流体团扩散的模型．流体团和先驱膜作为一个整体用与组分序参数耦合的Navier- Stokes方程,CHW(Cahn,Hilliard,van der Waales)方程和GNBC(广义Navier边界条件)进行数值模拟和分析．流体团在VW(van der Waals)分子长程力和表面张力以及黏性力的共同作用下开始扩散,纳米尺度厚的先驱膜在VW力达到一定值时缓慢生成,它的长时间演变的剖面形状表现为与理论结果一致的1/x次律．膜的前沿——接触线随时间演变具有幂次律,这种对时间的依赖关系也在实验结果(Leger,1984)中得出．分界面的相对拉伸对时间也具有幂次相似律,但幂次指数比前者要稍微大一点．展开更多
It is found that in some cases the complete and irreducible scale invariants given by Ref.[1] are not independent. There are some implicit functional relations among them. The scale invariants for two different cases ...It is found that in some cases the complete and irreducible scale invariants given by Ref.[1] are not independent. There are some implicit functional relations among them. The scale invariants for two different cases are calculated. The first case is an arbitrary second order tensor. The second case includes a symmetric tensor, an antisymmetric tensor and a vector. By using the eigentensor notation it is proved that in the first case there are only six independent scale invariants rather than seven as reported in Ref.[1] and in the second case there are only nine independent scale invariants which are less than that obtained in Ref.[1].展开更多
文摘研究具有先驱膜的流体团扩散的模型．流体团和先驱膜作为一个整体用与组分序参数耦合的Navier- Stokes方程,CHW(Cahn,Hilliard,van der Waales)方程和GNBC(广义Navier边界条件)进行数值模拟和分析．流体团在VW(van der Waals)分子长程力和表面张力以及黏性力的共同作用下开始扩散,纳米尺度厚的先驱膜在VW力达到一定值时缓慢生成,它的长时间演变的剖面形状表现为与理论结果一致的1/x次律．膜的前沿——接触线随时间演变具有幂次律,这种对时间的依赖关系也在实验结果(Leger,1984)中得出．分界面的相对拉伸对时间也具有幂次相似律,但幂次指数比前者要稍微大一点．
文摘It is found that in some cases the complete and irreducible scale invariants given by Ref.[1] are not independent. There are some implicit functional relations among them. The scale invariants for two different cases are calculated. The first case is an arbitrary second order tensor. The second case includes a symmetric tensor, an antisymmetric tensor and a vector. By using the eigentensor notation it is proved that in the first case there are only six independent scale invariants rather than seven as reported in Ref.[1] and in the second case there are only nine independent scale invariants which are less than that obtained in Ref.[1].
