A modified stokes law-based solid-solid drag model for the gas-fluidization of binary mixtures with different sizes and densities

Zhao, Junnan; Liu, Guodong; Guo, Xinyao; Lu, Huilin

doi:10.1016/j.powtec.2023.118533

Cited by 2 publications

(1 citation statement)

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“…However, to our knowledge, our work is the first to explain the underlying mechanics that control the viscoelastic response in soft matter in terms of sublinear drags. Recent works have used modified drag forces in mesoscale interactions of soft matter but again with different intentions [ 59 , 60 ].…”

Section: Resultsmentioning

confidence: 99%

Sublinear drag regime at mesoscopic scales in viscoelastic materials

Ferreira,

de Araújo,

Ferreira

et al. 2024

PLoS ONE

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Stressed soft materials commonly present viscoelastic signatures in the form of power-law or exponential decay. Although exponential responses are the most common, power-law time dependencies arise peculiarly in complex soft materials such as living cells. Understanding the microscale mechanisms that drive rheologic behaviors at the macroscale shall be transformative in fields such as material design and bioengineering. Using an elastic network model of macromolecules immersed in a viscous fluid, we numerically reproduce those characteristic viscoelastic relaxations and show how the microscopic interactions determine the rheologic response. The macromolecules, represented by particles in the network, interact with neighbors through a spring constant k and with fluid through a non-linear drag regime. The dissipative force is given by γvα, where v is the particle’s velocity, and γ and α are mesoscopic parameters. Physically, the sublinear regime of the drag forces is related to micro-deformations of the macromolecules, while α ≥ 1 represents rigid cases. We obtain exponential or power-law relaxations or a transitional behavior between them by changing k, γ, and α. We find that exponential decays are indeed the most common behavior. However, power laws may arise when forces between the macromolecules and the fluid are sublinear. Our findings show that in materials not too soft not too elastic, the rheological responses are entirely controlled by α in the sublinear regime. More specifically, power-law responses arise for 0.3 ⪅ α ⪅ 0.45, while exponential responses for small and large values of α, namely, 0.0 ⪅ α ⪅ 0.2 and 0.55 ⪅ α ⪅ 1.0.

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Section: Resultsmentioning

confidence: 99%