"A Theoretical Analysis of Bile Flow Dynamics in The Diseased Cystic Duct with Axial Varying Viscosity: Casson Model"

The way bile flows through our bile system is important - when it gets blocked or flows poorly, it can cause diseases. This study discovers how overlapping stones in the cystic duct affect bile flow characteristics through the Casson model. The expression for the flow characteristics including resistance, wall shear stress, and throat stress has been analyzed. The result shows that as the size of stone and the core radius increases, the resistance to flow and the shear stress also increases. It is also observed that as the axial viscosity increases then the resistance to flow and the shear stress also increases.