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Development of viscous fingering patterns

Journal Article · · Phys. Rev. Lett.; (United States)

The development of viscous fingering patterns has been observed from very early times to deep in the nonlinear regime for the flow of immiscible liquids in a Hele-Shaw cell. If the dimensionless viscosity contrast, A, is large, the number of fingers decreases rapidly with time after the initial pattern is established. If Aapprox. =0, all fingers grow through the entire time range of this experiment. For all values of A there is a power-law relation between the length of the longest finger and the time.

Research Organization:
Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
DOE Contract Number:
FG02-84ER45131
OSTI ID:
5895032
Journal Information:
Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 54:14; ISSN PRLTA
Country of Publication:
United States
Language:
English