An analysis for the calendering of non‐newtonian fluids

Equations are derived to predict the one‐dimensional behavior of a hyperbolic tangent fluid model flowing between calendering rollers. The equations were solved numerically on a computer, and results were obtained for maximum roller pressure and the exit thickness of the fluid sheet as a function of roller speed and reservoir size for three polymers. The numerical integration employed Gauss‐Legendre quadrature and a cascading iteration scheme to solve equations in which unknowns appeared in the limits of the integrals. Unlike existing power law solutions, these results show a definite relation between roller speed and exit thickness.