A volume tracking method was developed to simulate time-dependent unstable viscous fingering in a Hele-Shaw cell. The effect of finite viscosity ratio between displacing and displaced fluids and their interfacial tension σ on finger morphology is investigated. It is shown that there exist four distinct finger patterns, depending upon the viscosity ratio, and the modified capillary number for constant flow rate, or for constant driving pressure difference. Morphology diagrams are developed to identify the ranges of the dimensionless parameters corresponding to the various finger patterns. The simulation results are validated with experiments.
Viscous Fingering in a Hele-Shaw Cell With Finite Viscosity Ratio and Interfacial Tension
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division February 1, 2002, revised manuscript received August 15, 2002. Associate Editor: A. K. Prasad.
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Guan, X., and Pitchumani, R. (March 27, 2003). "Viscous Fingering in a Hele-Shaw Cell With Finite Viscosity Ratio and Interfacial Tension ." ASME. J. Fluids Eng. March 2003; 125(2): 354–364. https://doi.org/10.1115/1.1524589
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