Johnson-Segalman fluid film flow on a slippery vertically heated cylinder: An analysis on stagnant rings and heat transfer

This paper deals with Johnson-Segalman fluid film flow on a slippery, vertically heated cylinder with surface tension. This analysis examines the impact of slippage on stagnant rings and heat transfer dynamics. The resulting set of coupled nonlinear ordinary differential equations is solved for series-form solutions using the Adomian decomposition method (ADM). The important flow-controlling parameters of the analysis include the Weissenberg number We, inverse capillary number C, constant slip parameter Λ, Brinkman number Br, and Johnson-Segalman slip parameter e. The analysis delineated that the radii of stagnant rings decrease with increasing We, C, and Λ, whereas radii increase with increasing e. The temperature rises with an increase in the We and C, while it drops with an increase in Br and e. The slippery surface reduces friction, facilitating film drainage and obstructing film lifting. Surface tension is enhanced as elastic, viscous, and inertial forces become more significant in controlling fluid flow. Notably, at high We, the Johnson-Segalman fluid exhibits solid-like behavior, characterized by increased viscous dissipation and shear heating, which raises the temperature and affects drainage and lifting velocities. The Johnson-Segalman fluid lifts with more velocity, higher temperature, bears more surface tension, and forms a larger radius stagnant ring than the Newtonian fluid. The ADM results strongly agree with those derived from the finite difference method (FDM).