zbMATH — the first resource for mathematics

An iterative approach to the thermal Newtonian blown film model. (English) Zbl 1334.80013
Summary: Film blowing, by which thin polymer film is manufactured, is an industrial process with products used in a wide range of applications. Modelling of this process requires solving the highly nonlinear differential equations necessary to describe the complex chemical and physical interactions involved. Earlier work applied a mixture of analytic and numerical techniques to this modelling when the polymer involved was a Newtonian fluid operating under isothermal conditions. Subsequent calculations extended this analysis to the non-isothermal Newtonian film. However, the numerical procedures used were found to be computationally expensive. We apply a more robust finite element approach to these computations, that avoids the difficulties of the earlier methods, and is an improvement on these previous efforts.

80M25 Other numerical methods (thermodynamics) (MSC2010)
Full Text: Link