Existence of solution for a micro–macro model of polymeric fluid: the FENE model

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Local Existence for the FENE-Dumbbell Model of Polymeric Fluids

We study the well-posedness of a multi-scale model of polymeric fluids. The microscopic model is the kinetic theory of the finitely extensible nonlinear elastic (FENE) dumbbell model. The macroscopic model is the incompressible non-Newton fluids with polymer stress computed via the Kramers expression. The boundary condition of the FENE-type Fokker-Planck equation is proved to be unnecessary by ...

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Development of a rheological model for polymeric fluids based on FENE model

Rheological models for polymer solutions and melts based on the finitely extensible non-linear elastic (FENE) dumbbell theory are reviewed in this study. The FENE-P model that is a well-known Peterlin approximation of the FENE model, indicates noticeable deviation from original FENE predictions and also experimental results, especially in the transient flow. In addition, both FENE and FENE-P mo...

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ژورنال

عنوان ژورنال: Journal of Functional Analysis

سال: 2004

ISSN: 0022-1236

DOI: 10.1016/s0022-1236(03)00183-6