Viscous Rayleigh-Taylor instability with and without diffusion effect

The approximate but analytical solution of the viscous Rayleigh-Taylor insta- bility （RTI） has been widely used recently in theoretical and numerical investigations due to its clarity. In this paper, a modified analytical solution of the growth rate for the viscous RTI of incompressible fluids is obtained based on an approximate method. Its accuracy is verified numerically to be significantly improved in comparison with the previous one in the whole wave number range for different viscosity ratios and Atwood numbers. Fur- thermore, this solution is expanded for viscous RTI including the concentration-diffusion effect.

浅析日本产学官制度的推进与首都圈协同发展间的相互作用

通过介绍产学官制度以及日本首都圈的发展历程,以产业升级为桥梁,阐述了两者之间的相互作用。在首都圈协同发展过程中,经济发展的正效应发挥作用,形成了产业聚集,而以科学技术创新为目标的产学官制度的推进离不开产业集聚形成的前提条件。同时,技术进步以及将高科技应用与产业升级创新也支撑了东京及其都市圈的产业合理转移与分布,形成了合理产业分布和城市功能划分,使得整个首都圈经济跨越不同时期困境实现了长期的持续发展。最后,通过以上日本经验对于我国京津冀现阶段发展给予的启示进行了总结。