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Inverse analysis of a non-linear viscous fluid based on dissipated energy measured with a simple-shear rheometer
Authors:B Emek Abali  Wolfgang H Müller  D V Georgievskii
Institution:1. Technische Universität Berlin, Fak. V, Institut für Mechanik, Lehrstuhl Kontinuumsmechanik und Materialtheorie, MS2 Einsteinufer 5, D-10587 Berlin;2. Moscow State University, Mechanical and Mathematical Department, Moscow, 119899 Russia
Abstract:Oscillatory rheometer measurements are used to determine the material parameters of a NEWTONian fluid model, which can be expressed by a linear constitutive relation. However, rheological materials, such as polymer melts, mixture of oils, or food paste, can only be modeled as non-NEWTONian fluids by using non-linear constitutive relations. Since the rheometer measures the energy loss in the induction motor due to shear loading of the viscous material, this can be used as the objective function for a regression analysis. The dissipated energy will be obtained as outlined in 1]. The goal of this work is to explain how to determine the parameters of a non-linear material model by using the energy loss that is measured in a rheometer. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
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