1,721,022 research outputs found
Application of non-linear Galerkin methods to study the Smoluchowski equation for nematic polimers
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A nonlinear Galerkin method for numerical approximation of the dynamics of mesophases under flow
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The Rigid Rod model for Nematic Polymers: An analysis of the shear flow problem
No full textThe rigid-rod model is capable of predicting several rheological features of rodlike polymers in the nematic phase. The model is formulated in terms of a nonlinear partial differential equation that describes the evolution of an orientational distribution function. The morphological properties and the rheological response of the sample can be determined once the distribution function is known. In this article the rigid-rod model is thoroughly analyzed with tools typical of bifurcation analysis for the case of shear flows. New flow regimes, both stationary and periodic, are found and illustrated. The detailed description of the model bifurcation structure allows some considerations about up to date closure approximations
Non-linear analysis of a network of 3 continuous stirred tank reactors with periodic feed switching: symmetry and symmetry-breaking
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