A numerical analysis of calendering of Oldroyd 4-constant fluid

Abstract We investigate the effects of non-Newtonian parameters on the exiting sheet thickness in the calendering of Oldroyd 4-constant fluid. The governing equations are first converted into dimensionless form and then simplified under lubrication approximation theory. A complete numerical approach is developed based on Matlab built-in routine “bvp4c” in order to obtain stream function and pressure gradient. The pressure is computed using Runge-Kutta method. The effects of involved material parameters on various quantities of interest are highlighted through graphs. The results indicate that Oldroyd 4-constant model predicts lower pressure in the nip region than that of the Newtonian model. The force and power for Oldroyd 4-constant model are also lower than their counterparts for Newtonian model. Moreover, the leave-off distance is nearly independent of the material parameters of the Oldroyd 4-constant model for larger value of the entering sheet thickness.