Pressure-driven flow of a rate type fluid with stress threshold in an infinite channel - Archive ouverte HAL
Article Dans Une Revue International Journal of Non-Linear Mechanics Année : 2011

Pressure-driven flow of a rate type fluid with stress threshold in an infinite channel

Résumé

In this paper we extend some our previous works on continua with stress threshold. In particular here we propose a mathematical model for a continuum which behaves as a nonlinear upper convected Maxwell fluid if the stress is above a certain threshold and as a Oldroyd-B type fluid if the stress is below such a threshold. We derive the constitutive equations for each phase exploiting the theory of natural configurations (introduced by rajagopal and co-workers) and the criterion of the maximization of the rate of dissipation. We state the mathematical problem for a one-dimensional flow driven by a constant pressure gradient and study two peculiar cases in which the velocity of the inner part of the fluid is spatially homogeneous.
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Dates et versions

hal-00759675 , version 1 (02-12-2012)

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Citer

Lorenzo Fusi, Angiolo Farina. Pressure-driven flow of a rate type fluid with stress threshold in an infinite channel. International Journal of Non-Linear Mechanics, 2011, ⟨10.1016/j.ijnonlinmec.2011.04.015⟩. ⟨hal-00759675⟩

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