Lifting and drainage of Sisko fluid film with surface tension: A theoretical study on stationary points and thickness of uniform film

This paper accords with the theoretical study of lifting and drainage of Siskofluid film on a vertically upward moving cylinder with surface tension. The ow on cylinder is induced by the upward motion of the cylinder, gravity and surface tension gradient. The resulting nonlinear ordinary differential equation is solved for a series form solution by making use of the Adomian decomposition method (ADM). Expressions for the flow variables like velocity, volume flow rate, shear stress and surface tension are derived. Positions of stationary points and thickness of uniform fllm are computed numerically in MATHEMATICA. The inverse capillary number C, Stokes number S-t, Sisko fluid parameter beta and fluid behavior index n emerged as flow control parameters. The study showed that the positions of stationary points relocate towards the surface of the cylinder by the increase of C and S-t while their positions relocate towards the fluid-air interface with increasing beta and n. Thickness of uniform fllm decreases when the values of C and St are increased whilst it increases with the increase of beta and n. Analogy between the Newtonian fluid and the Sisko degrees uid's shear thinning and shear thickening behaviors for positions of stationary points, thickness of uniform fllm and surface tension is also made.