Analytical Study of Axisymmetric Squeeze Flow of the Slightly Viscoelastic Fluid Film with Slip Effect

Abstract

This research study presents an analytical solution to the problem of slow axisymmetric squeeze stream formed by a slightly viscoelastic fluid film between two rounded disks due to slip effect. The study uses suited slip boundary conditions to derive the equations of motion as nonlinear systems of partial differential equation. Analytical solutions of ancient governing equations of action have been constructed by Langlois recursive method up to a third order approximation. The mathematical expressions have been generated for velocity components, pressure distributions, and squeezing forces which based on the slip and slightly viscoelastic factors. The acquired results are depicted graphically on different physical parameters. It is observed that the radial velocity, pressure and squeezing force are rising as the viscoelastic parameters increases. Moreover, it is analyzed that the slip parameter reduces pressure and squeezes force while increasing radial velocity at the upper disk, and when the slightly viscoelastic and slip parameters approach zero, the obtained solutions reflect the classical Newtonian fluid findings.