Similarity characteristics in the morphology of radial viscous fingers

Similarity characteristics in the morphology of radial viscous fingers
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桡骨粘性指形态的相似特征

DOI:
10.1063/5.0147571
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发表时间:
2023
期刊:
影响因子:
4.6
通讯作者:
P. R. de Souza Mendes
P. R. de Souza Mendes
中科院分区:
工程技术2区
文献类型:
--
作者:
Rafael M. Oliveira;Behbood Abedi;Larissa F. Santos;P. S. Câmara;P. R. de Souza Mendes

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我们进行非线性模拟研究的径向增长的粘性手指在Hele-Shaw细胞进行广泛的参数研究的两个无量纲参数,支配的动力学。它们是粘度对比度A和有效表面张力B,它们比较了表面张力与导致不稳定的注射速率的影响。众所周知,流体之间的表面张力对图案形成具有稳定影响,导致指进生长较慢和指状物数量减少。此外,目前的结果表明,对于固定的A值,较大的有效表面张力值导致形成的指进模式是彼此相似的。因此,计算的界面形状更大,需要更长的时间来开发。此外,计算出的形状提供了一个视觉上引人注目的肖像不稳定性的演变,并与我们的实验测量值的比较突出了两者之间的密切相似之处,指出了一些差异。最后,我们观察到初始近圆形界面的变化如何影响粘性手指的形态和图案形成的时间尺度。
We conduct nonlinear simulations to investigate the radial growth of viscous fingers in a Hele–Shaw cell by performing a wide parametric study on the two dimensionless parameters that govern the dynamics. These are the viscosity contrast, A, and the effective surface tension, B, which compares the influence of surface tension with the injection rate that drives instability. It is well known that the surface tension between the fluids has a stabilizing influence on pattern formation leading to slower fingering growth and a reduced number of fingers. Moreover, the current results show that, for fixed A values, larger values of the effective surface tension lead to the formation of fingering patterns that are similar to each other. As such, the calculated interfacial shapes are larger and take longer to develop. Furthermore, the calculated shapes offer a visually striking portrait of instability evolution, and comparison to our experimental measurements highlights the close resemblance between the two with a few discrepancies pointed out. Finally, we observe how changes to the initial nearly circular interface affect both the morphology of viscous fingers and the timescale for pattern formation.
DOI: 10.1103/physrevlett.108.074502
发表时间: 2012-02-14
影响因子: 8.6
作者:
Pihler-Puzovic, D.;Illien, P.;Juel, A.
通讯作者: Juel, A.
DOI: 10.1017/jfm.2018.404
发表时间: 2018-06
影响因子: 3.7
作者:
D. Pihler-Puzović;Gunnar G. Peng;J. Lister;M. Heil;A. Juel
通讯作者: D. Pihler-Puzović;Gunnar G. Peng;J. Lister;M. Heil;A. Juel