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Large amplitude oscillatory elongation flow
Authors:Henrik Koblitz Rasmussen  Philippe Laillé  Kaijia Yu
Institution:(1) The Danish Polymer Centre, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark;(2) Department of Mechanical Engineering, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark;(3) Department of Manufacturing Engineering and Management, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark
Abstract:A filament stretching rheometer (FSR) was used for measuring the elongation flow with a large amplitude oscillative elongation imposed upon the flow. The large amplitude oscillation imposed upon the elongational flow as a function of the time t was defined as $\epsilon(t) = \dot{\epsilon}_0 t + \Lambda 1 - \cos( 2 \pi \Omega \dot{\epsilon}_0 t )]$ where ε is the Hencky strain, $\dot{\epsilon}_0$ is a constant elongational rate for the base elongational flow, Λ the strain amplitude (Λ ≥ 0), and Ω the strain frequency. A narrow molecular mass distribution linear polystyrene with a molecular weight of 145 kg/mol was subjected to the oscillative flow. The onset of the steady periodic regime is reached at the same Hencky strain as the onset of the steady elongational viscosity ( Λ = 0). The integral molecular stress function formulation within the ‘interchain pressure’ concept agrees qualitatively with the experiments.
Keywords:Biaxial flow  Oscillating flow  Polystyrene  Polymer melt  Uniaxial extension  Nonlinear viscoelasticity
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