A Review On Viscous Fingering Pattern Formation In Lifted Hele- Shaw Cell

Abstract

Abstract Saffman–Taylor (ST) instability is also called viscous fingering (VF). It arises when the low viscous fluid is invaded into the high viscous fluid ina Hele-Shaw cell (HSC).The application of VF pattern is in oil recovery, hydrology, filtration and tissue engineering. Mainly radial HSC and lifted HSC arrangements are installed for rich variety of VF pattern formation. But In this paper, we consider theoretical and experimental works related to VF in lifted HSC. In the lifted Hele-Shaw cell (HSC), a thin film of high viscous stationary fluid is sandwiched between two circular or rectangular transparent glass plates. One of the glass plates is stationary and other plate is moved linearly to maintaining the linearity between the plates. Due to this action surrounding air (less viscous fluid) enters into the cellthrough the periphery and penetrates inside the high viscous fluid. After that, air fingers appear at the interface of fluids in the cell.