Macroscopic Limit of a One-Dimensional Model for Aging Fluids - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal Année : 2014

Macroscopic Limit of a One-Dimensional Model for Aging Fluids

(1, 2) , (1, 2) , (1, 2)
1
2

Résumé

We study a one-dimensional equation arising in the multiscale modeling of some non-Newtonian fluids. At a given shear rate, the equation provides the instantaneous mesoscopic response of the fluid, allowing to compute the corresponding stress. In a simple setting, we study the well-posedness of the equation and next the long-time behavior of its solution. In the limit of a response of the fluid much faster than the time variations of the ambient shear rate, we derive some equivalent macroscopic differential equations that relate the shear rate and the stress. Our analytical conclusions are confronted to some numerical experiments. The latter quantitatively confirm our derivations.

Dates et versions

hal-00873577 , version 1 (16-10-2013)

Identifiants

Citer

David Benoit, Claude Le Bris, Tony Lelièvre. Macroscopic Limit of a One-Dimensional Model for Aging Fluids. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2014, 12 (3), pp.1335 - 1378. ⟨10.1137/13094133X⟩. ⟨hal-00873577⟩
158 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook Twitter LinkedIn More