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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/12826

Anomalous roughening of Hele-Shaw flows with quenched disorder

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The kinetic roughening of a stable oil-air interface moving in a Hele-Shaw cell that contains a quenched columnar disorder (tracks) has been studied. A capillary effect is responsible for the dynamic evolution of the resulting rough interface, which exhibits anomalous scaling. The three independent exponents needed to characterize the anomalous scaling are determined experimentally. The anomalous scaling is explained in terms of the initial acceleration and subsequent deceleration of the interface tips in the tracks coupled by mass conservation. A phenomenological model that reproduces the measured global and local exponents is introduced.

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SORIANO I FRADERA, Jordi, et al. Anomalous roughening of Hele-Shaw flows with quenched disorder. Physical Review Letters. 2002. Vol. 89, num. 2, pags. 026102-1-026102-4. ISSN 0031-9007. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/12826

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