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
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Related Subjects
640420* -- Fluid Physics-- Properties & Structure of Fluids-- (-1987)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CARBOXYLIC ACIDS
FLUID FLOW
HYDROGEN COMPOUNDS
IDEAL FLOW
INSTABILITY GROWTH RATES
INTERFACES
ISOBUTYRIC ACID
MONOCARBOXYLIC ACIDS
NONLINEAR PROBLEMS
ORGANIC ACIDS
ORGANIC COMPOUNDS
OXYGEN COMPOUNDS
PLATES
TWO-PHASE FLOW
VISCOSITY
WATER
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CARBOXYLIC ACIDS
FLUID FLOW
HYDROGEN COMPOUNDS
IDEAL FLOW
INSTABILITY GROWTH RATES
INTERFACES
ISOBUTYRIC ACID
MONOCARBOXYLIC ACIDS
NONLINEAR PROBLEMS
ORGANIC ACIDS
ORGANIC COMPOUNDS
OXYGEN COMPOUNDS
PLATES
TWO-PHASE FLOW
VISCOSITY
WATER