| Home > Publications database > Flow instability due to coupling of shear-gradients with concentration: non-uniform flow of (hard-sphere) glasses > print |
| 001 | 172675 | ||
| 005 | 20240619083502.0 | ||
| 024 | 7 | _ | |2 doi |a 10.1039/C4SM01329H |
| 024 | 7 | _ | |2 ISSN |a 1744-683X |
| 024 | 7 | _ | |2 ISSN |a 1744-6848 |
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| 037 | _ | _ | |a FZJ-2014-06127 |
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| 100 | 1 | _ | |0 P:(DE-Juel1)157829 |a Jin, Howon |b 0 |
| 245 | _ | _ | |a Flow instability due to coupling of shear-gradients with concentration: non-uniform flow of (hard-sphere) glasses |
| 260 | _ | _ | |a London |b Royal Soc. of Chemistry |c 2014 |
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| 520 | _ | _ | |a Flow-induced instabilities that lead to non-uniform stationary flow profiles have been observed in many different soft-matter systems. Two types of instabilities that lead to banded stationary states have been identified, which are commonly referred to as gradient- and vorticity-banding. The molecular origin of these instabilities is reasonably well understood. A third type of instability that has been proposed phenomenologically [Europhys. Lett., 1986, 2, 129 and Phys. Rev. E, 1995, 52, 4009] is largely unexplored. Essential to this “Shear-gradient Concentration Coupling” (SCC-) instability is a mass flux that is induced by spatial gradients of the shear rate. A possible reason that this instability has essentially been ignored is that the molecular origin of the postulated mass flux is not clear, and no explicit expressions for the shear-rate and concentration dependence of the corresponding transport coefficient exist. It is therefore not yet known what types of flow velocity- and concentration-profiles this instability gives rise to. In this paper, an expression for the transport coefficient corresponding to the shear-gradient induced mass flux is derived in terms of the shear-rate dependent pair-correlation function, and Brownian dynamics simulations for hard-spheres are presented that specify the shear-rate and concentration dependence of the pair-correlation function. This allows to explicitly formulate the coupled advection–diffusion equation and an equation of motion for the suspension flow velocity. The inclusion of a non-local contribution to the stress turns out to be essential to describe the SCC-banding transition. The coupled equations of motion are solved numerically, and flow- and concentration-profiles are discussed. It is shown that the SCC-instability occurs within the glass state at sufficiently small shear rates, leading to a banded flow-profile where one of the bands is non-flowing. |
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| 700 | 1 | _ | |0 P:(DE-Juel1)130749 |a Kang, Kyongok |b 1 |
| 700 | 1 | _ | |0 P:(DE-HGF)0 |a Ahn, Kyung Hyun |b 2 |
| 700 | 1 | _ | |0 P:(DE-Juel1)130616 |a Dhont, Jan K.G. |b 3 |e Corresponding Author |u fzj |
| 773 | _ | _ | |0 PERI:(DE-600)2191476-X |a 10.1039/C4SM01329H |g Vol. 10, no. 47, p. 9470 - 9485 |n 47 |p 9470 - 9485 |t Soft matter |v 10 |x 1744-683X |y 2014 |
| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/172675/files/FZJ-2014-06127.pdf |y Restricted |
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