Fictitious Fluid Approach and Anomalous Blow-up of the Dissipation Rate in a 2D Model of Concentrated Suspensions

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We present a two-dimensional (2D) mathematical model of a highly concentrated suspension or a thin film of the rigid inclusions in an incompressible Newtonian fluid. Our objectives are two-fold: (i) to obtain all singular terms in the asymptotics of the overall viscous dissipation rate as the interparticle distance parameter $δ$ tends to zero, (ii) to obtain a qualitative description of a microflow between neighboring inclusions in the suspension.
76 pages, submitted

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Analysis of PDEs, 76T20

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http://salesiana.dossiersoluciones.com/handle/123456789/115580

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608671
 http://arxiv.org/abs/math/0608671

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arXiv