Moore Mitchell G, Juel Anne, Burgess John M, McCormick W D, Swinney Harry L
Center for Nonlinear Dynamics and Department of Physics, The University of Texas at Austin, Texas 78712, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3 Pt 1):030601. doi: 10.1103/PhysRevE.65.030601. Epub 2002 Feb 8.
Our experiments on viscous (Saffman-Taylor) fingering in Hele-Shaw channels reveal finger width fluctuations that were not observed in previous experiments, which had lower aspect ratios and higher capillary numbers Ca. These fluctuations intermittently narrow the finger from its expected width. The magnitude of these fluctuations is described by a power law, Ca(-0.64), which holds for all aspect ratios studied up to the onset of tip instabilities. Further, for large aspect ratios, the mean finger width exhibits a maximum as Ca is decreased instead of the predicted monotonic increase.
我们在赫勒-肖通道中对粘性(萨夫曼-泰勒)指进现象进行的实验揭示了指宽波动,这在之前宽高比更低、毛细管数Ca更高的实验中并未观察到。这些波动会间歇性地使指宽比预期宽度变窄。这些波动的幅度由幂律Ca(-0.64)描述,该幂律适用于所研究的直至尖端失稳开始的所有宽高比情况。此外,对于大宽高比,随着Ca减小,平均指宽呈现出最大值,而不是预测的单调增加。