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Inverse heat transfer analysis in a polymer melt flow within an extrusion die

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In forming processes like the extrusion of polymers, the temperature profile in the polymer melt flow through the die can be quite sharp, due to high viscous dissipation and very low heat conductivity. To predict accurately the temperature rise, the inlet temperature profile has to be taken into account. This profile is generally unknown because for creeping flow the temperature field is affected far downstream from the entrance of the die. This numerical study aims to restore the temperature field within the polymer from temperature measurements taken inside the die. The polymer flow is assumed to be an incompressible steady laminar flow of a Newtonian fluid. The numerical solution of the inverse problem is computed by using a classical conjugate gradient method. The analysis is important to decide the location of the thermocouples in an experimental die. The feasibility of restoring the temperature profile is illustrated for different thermal and flow conditions.
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Keywords: Conjugate gradient method; Extrusion die; Inverse method; Temperature profile

Document Type: Research Article

Affiliations: 1: UMR CNRS 6607, Ecole polytechnique de l'université de Nantes, 44306 Nantes cedex, France 2: UMR CNRS 6144, IUT-Université de Nantes, BP 539 44475, CARQUEFOU, Nantes, France

Publication date: 01 August 2005

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