| Autor: |
Afkhami, Shahriar, Renardy, Yuriko |
| Rok vydání: |
2013 |
| Předmět: |
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| Zdroj: |
Phys. Fluids 25, 082001 (2013) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1063/1.4817374 |
| Popis: |
We present a computational framework to address the flow of two immiscible viscous liquids which co-flow into a shallow rectangular container at one side, and flow out into a holding container at the opposite side. Assumptions based on the shallow depth of the domain are used to reduce the governing equations to one of Hele-Shaw type. The distinctive feature of the numerical method is the accurate modeling of the capillary effects. A continuum approach coupled with a volume-of-fluid formulation for computing the interface motion and for modeling the interfacial tension in Hele-Shaw flows is formulated and implemented. The interface is reconstructed with a height-function algorithm. The combination of these algorithms is a novel development for the investigation of Hele-Shaw flows. The order of accuracy and convergence properties of the method are discussed with benchmark simulations. A microfluidic flow of a ribbon of fluid which co-flows with a second liquid is simulated. We show that for small capillary numbers of O(0.01), there is an abrupt change in interface curvature and focusing occurs close to the exit. |
| Databáze: |
arXiv |
| Externí odkaz: |
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