標題: Radial Hele-Shaw flow with suction: Fully nonlinear pattern formation
作者: Chen, Ching-Yao
Huang, Yu-Sheng
Miranda, Jose A.
機械工程學系
Department of Mechanical Engineering
公開日期: 9-五月-2014
摘要: We study the development of intricate, fully nonlinear immiscible interfacial patterns in the suction-driven radial Hele-Shaw problem. The complex-shaped, contracting fluid-fluid interface arises when an initially circular blob of more viscous fluid, surrounded by less viscous one, is drawn into an eccentric point sink. We present sophisticated numerical simulations, based on a diffuse interface model, that capture the most prominent interfacial features revealed by existing experimental studies of the problem. The response of the system to changes in the capillary number is investigated, accurately revealing the occurrence of finger competition phenomena, and correctly describing the velocity behavior of both inward-and outward-pointing fingers. For the large-capillary-number regime, a set of complex interfacial features (finger merging, shielding, and pinch-off) whose experimental realization is still not available, are predicted.
URI: http://dx.doi.org/10.1103/PhysRevE.89.053006
http://hdl.handle.net/11536/24428
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.89.053006
期刊: PHYSICAL REVIEW E
Volume: 89
Issue: 5
結束頁: 
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