Abstract
Viscous fingering (VF) or Saffman–Taylor (ST) instabilities are used in sugar refining, oil recovery, hydrology, filtration, regeneration chemical processing, and tissue engineering. FV arises when a low viscous fluid (μ1) displaces a high viscous fluid (μ2) in a Hele-Shaw cell (HSC). Different configurations of HSC have been used for a wide variety of VF pattern formation. These configurations are- radial HSC, lifted HSC and rotational HSC. In this paper, we consider theoretical and experimental works related to VF in radial HSC. VF pattern formation in the case of radial HSC mostly depends on the following parameters - injection rate (Q), gap between the plates (b), viscosity ratio (μ1/μ2) and surface tension. A wide variety of miscible and immiscible fluids have been used in the experimental investigation. The ramified fingers pattern appears when displacing and displaced fluids are miscible to each other. This pattern is called a fractal. Interfacial instabilities appear inherently when the viscosity ratio is less than unity.
Published Version
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