Abstract
In this article, equations of motion for the process of calendering using a non-Newtonian upper-convected material calendering with the porous rolls are modeled and analyzed. Lubrication approximation theory is used to simplify the equations of motion. The non-dimensionalized equations are solved for the pressure and velocity profiles. Engineering interest quantities such as maximum pressure, power input and roll separating forces are obtained numerically by using composite Simpson's rule. Using response surface methodology, sensitivity analysis is also applied to analyze the effects of Reynolds number and viscoelastic parameter on the sheet thickness, roll separating forces and power input. It is examined that the involved parameter Reynolds number has a greater impact on velocity distribution, pressure distribution and detachment point which are suitable for the process of calendering. The roll separating force and the power input decrease for increasing the values of viscoelastic parameter. The sheet thickness is positively sensitive toward Reynolds number and viscoelastic parameter, while roll separating forces and power input are negatively sensitive to lower and middle levels of input parameters.