Controlling the instabilities in the radial Hele-Shaw cell

Abstract

Our world is surrounded by various instability. Fluid instability is one of the emerging and interesting topics to study fluid behaviour. Fluid instability may develop when fluid flows through a porous medium. A similar kind of fluid instability is also developed by fluid flow in narrow slit. This paper mainly focuses on characteristic of fluid instability in Hele-Shaw cell under influence of intended disturbance and methods to control the same. In Hele-Shaw flow, low viscous fluid is allowed to flow in a high viscous fluid, placed in between two flat parallel plates separated by the narrow gap. Instability established during this fluid flow creates morphological patterns called viscous fingering (microfractals). In this paper, authors introduced parameters viz. protrusions, holes, and slots on plates and the introduction of two high viscous fluids that affect microfractals. A method is introduced to get the microfractals of the desired shape in this paper.