论文标题
有效流变学以稀释的微晶悬浮液
Derivation of an effective rheology for dilute suspensions of micro-swimmers
论文作者
论文摘要
我们提供了有效流变学的严格推导，用于稀释的自发颗粒的粘液悬浮液。我们以限制有效的Stokes系统，并具有两个附加的术语。第一个术语对应于与著名的爱因斯坦公式$μ_{eff} =（1+ \ frac {5} {2} {2}λ）μ$匹配的有效粘度。得出的第二个额外术语是有效的有效压力$σ_1$，它以强迫术语$λ\，\ text {div} \，σ_1$中的迫使项$σ_1$。然后，我们根据微驱球性质及其在流体中的分布来研究该术语的效果。
We provide a rigorous derivation of an effective rheology for dilute viscous suspensions of self-propelled particles. We derive at the limit an effective Stokes system with two additional terms. The first term corresponds to an effective viscosity that matches the famous Einstein's formula $μ_{eff}=(1+ \frac{5}{2} λ)μ$. The second additional term derived is an effective active stress $σ_1$ that appears as a forcing term $λ\, \text{div} \, σ_1$ in the fluid equation. We then investigate the effects of this term depending on the micro-swimmers nature and their distribution in the fluid.
