Weakly nonlinear analysis on radially growing interface with the effect of viscous normal stress
Weakly nonlinear analysis on radially growing interface with the effect of viscous normal stress
复制标题
粘性法向应力作用下径向生长界面的弱非线性分析
DOI：
10.1016/j.molliq.2014.02.015
复制
发表时间：
2014
影响因子：
6
通讯作者：
H. Tani
中科院分区：
文献类型：
--
作者：
H. Tani
研究了二维径向增长界面的两相Hele-Shaw问题。我们应用法向应力平衡并推导出界面扰动的新模式耦合方程，而不是几乎所有以前关于Hele-Shaw问题的研究中使用的Young-Laplace方程。本文采用弱非线性分析方法，对界面的时间演化进行了数值计算。这些数值结果表明，我们的模型更准确地反映了径向增长界面的非线性特征，而不是以前的基于杨拉普拉斯方程。
Two-phase Hele-Shaw problem is studied as a model for a two-dimensional radially growing interface. Instead of the Young–Laplace equation, which has been employed in almost all previous studies concerning Hele-Shaw problem, we apply the normal stress balance and derive the new mode coupling equation for perturbation of the interface. In the present research, weakly nonlinear analysis is carried out and time evolution of the interfaces is numerically calculated. These numerical results suggest that our model reflects more exactly the nonlinear features of a radially growing interface, rather than the previous ones based on the Young–Laplace equation.