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• W2433201538 abstract "We study experimentally the miscible radial displacement of a more viscous fluid by a less viscous one in a horizontal Hele-Shaw cell. For the range of tested injection rates and viscosity ratios we observe two regimes for the evolution of the fluid-fluid interface. At early times the interface length increases linearly with time, which is typical of the Saffman-Taylor instability for this radial configuration. However, as time increases, the interface growth slows down and scales as ∼t(1/2), as one expects in a stable displacement, indicating that the overall flow instability has shut down. Surprisingly, the crossover time between these two regimes decreases with increasing injection rate. We propose a theoretical model that is consistent with our experimental results, explains the origin of this second regime, and predicts the scaling of the crossover time with injection rate and the mobility ratio. The key determinant of the observed scalings is the competition between advection and diffusion time scales at the displacement front, suggesting that our analysis can be applied to other interfacial-evolution problems such as the Rayleigh-Bénard-Darcy instability." @default.
• W2433201538 created "2016-06-24" @default.
• W2433201538 creator A5026737705 @default.
• W2433201538 creator A5037732794 @default.
• W2433201538 creator A5081437418 @default.
• W2433201538 date "2015-10-28" @default.
• W2433201538 modified "2023-10-18" @default.
• W2433201538 title "Interface evolution during radial miscible viscous fingering" @default.
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• W2433201538 doi "https://doi.org/10.1103/physreve.92.041003" @default.
• W2433201538 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/26565159" @default.
• W2433201538 hasPublicationYear "2015" @default.
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