Development of viscous fingering patterns.
Development of viscous fingering patterns.
复制标题
粘性指法模式的发展。
作者：
Maher
在非混溶液体在Hele-Shaw槽中流动的非线性区域中，已经观察到粘性指进模式的发展，从非常早期到很深。如果无因次粘性差$A$较大，则在初始模式建立后，指数会随时间迅速减少。如果$Aensureath{simeq}0$，则所有手指在此实验的整个时间范围内都会生长。对于$A$的所有值，最长手指的长度与时间之间存在幂定律关系。
The development of viscous fingering patterns has been observed from very early times to deep in the nonlinear regime for the flow of immiscible liquids in a Hele-Shaw cell. If the dimensionless viscosity contrast, $A$, is large, the number of fingers decreases rapidly with time after the initial pattern is established. If $Aensuremath{simeq}0$, all fingers grow through the entire time range of this experiment. For all values of $A$ there is a power-law relation between the length of the longest finger and the time.