Choi & Joseph (2001) reported a two-dimensional numerical investigation of the lift-off of 300 circular particles in plane Poiseuille flows of Newtonian fluids. We perform similar simulations. Particles heavier than the fluid are initially placed in a closely packed ordered configuration at the bottom of a periodic channel. The fluid-particle mixture is driven by an external pressure gradient. ...

0021-9991/$ see front matter 2013 Elsevier Inc. All rights reserved. http://dx.doi.org/10.1016/j.jcp.2013.05.045 ⇑ Corresponding author. Tel.: +44 141 5483773. E-mail addresses: [email protected] (J. Meng), [email protected] (L. Wu), [email protected] (J.M. Reese), [email protected] (Y. Zhang). Journal of Computational Physics 251 (2013) 383–395

The Oldroyd-B model has been used extensively to predict a host of instabilities in shearing flows viscoelastic fluids, often realized experimentally using polymer solutions. present review, written on the occasion birth centenary James Oldroyd, provides an overview found across major classes flows. These comprise (i) canonical rectilinear including plane Couette, and pipe Poiseuille flows; (ii...

Viscoelastic flows occur widely, and numerical simulations of them are important for a range industrial applications. Simulations viscoelastic more challenging than their Newtonian counterparts due to the presence exponential gradients in polymeric stress fields, which can lead catastrophic instabilities if not carefully handled. A key development overcome this issue is log-conformation formula...

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