Prediction of shear-thickening of particle suspensions in viscoelastic fluids by direct numerical simulation
| Autor: | Toshihisa Kajiwara, Yuki Matsuoka, Yasuya Nakayama |
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| Rok vydání: | 2021 |
| Předmět: |
Dilatant
Materials science 010304 chemical physics Mechanical Engineering Constant Viscosity Elastic (Boger) Fluids Fluid Dynamics (physics.flu-dyn) FOS: Physical sciences Mechanics Physics - Fluid Dynamics Condensed Matter - Soft Condensed Matter Condensed Matter Physics 01 natural sciences 010305 fluids & plasmas Simple shear Condensed Matter::Soft Condensed Matter Physics::Fluid Dynamics Rheology Mechanics of Materials 0103 physical sciences Fluid dynamics Weissenberg number Soft Condensed Matter (cond-mat.soft) Suspension (vehicle) Shear flow |
| DOI: | 10.48550/arxiv.2109.08300 |
| Popis: | To elucidate the key factor for the quantitative prediction of the shear-thickening in suspensions in viscoelastic fluids, direct numerical simulations of many-particle suspensions in a multi-mode Oldroyd-B fluid are performed using the smoothed profile method. Suspension flow under simple shear flow is solved under periodic boundary conditions by using Lees--Edwards boundary conditions for particle dynamics and a time-dependent oblique coordinate system that evolves with mean shear flow for fluid dynamics. Semi-dilute many-particle suspensions up to a particle volume fraction of 0.1 are investigated. The presented numerical results regarding the bulk rheological properties of the shear-thickening behavior agree quantitatively with recent experimental results of semi-dilute suspensions in a Boger fluid. The presented result clarifies that an accurate estimation of the first normal stress difference of the matrix in the shear-rate range where the shear-thickening starts to occur is crucial for the quantitative prediction of the suspension shear-thickening in a Boger fluid matrix at around the Weissenberg number $\rm{Wi}=1$ by an Oldroyd-B model. Additionally, the effect of suspension microstructures on the suspension viscosity is examined. The paper concludes with a discussion on how the flow pattern and the elastic stress development change with the volume fraction and Weissenberg number. |
| Databáze: | OpenAIRE |
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