Analysis of the lubrication approximation theory in the calendering/sheeting process of upper convected Jeffery's material

This paper analyses an isothermal calendering for an upper convected Jeffery's Material. Lubrication Approximation Theory (LAT) is applied to simplify the flow equations. Analytical solutions of velocity, flow rate, and pressure gradient are carried out. Outcomes of sheet thickness, detachment point, roll separating force, power input to the roll, and pressure distribution are obtained. The effects of some involved parameters are displayed through graphs and tables. It is noted that the material parameter is a controlling device for sheet thickness, flow rate, detachment point, roll separating force, power input, and the pressure distribution. We observed that as the material parameter increases, the detachment point increases which results in increased sheet thickness.

Automated summary

This paper analyzes an isothermal calendering process for an upper convected Jeffery's Material, using Lubrication Approximation Theory to simplify the flow equations and obtaining analytical solutions for velocity, flow rate, and pressure gradient. The effects of various parameters are displayed through graphs and tables, with the material parameter being a key factor controlling sheet thickness, flow rate, detachment point, roll separating force, power input, and pressure distribution. Increasing material parameter leads to higher detachment point and thicker sheet.