DERIVATION OF AN EFFECTIVE RHEOLOGY FOR DILUTE SUSPENSIONS OF MICROSWIMMERS

被引：3
|
作者：
Girodroux-Lavigne, Alexandre [1 ]
机构：
[1] Univ Paris Cite, IMJ PRG, F-75013 Paris, France
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2023年 / 55卷 / 06期
关键词：
microswimmer suspensions; rheology; Stokes equations; EFFECTIVE VISCOSITY; HOMOGENIZATION; FORMULA; MODEL;
D O I：
10.1137/22M148776X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 formula mu eff = (1+ 5 2A)mu. The second additional term derived is an effective active stress a1 that appears as a forcing term A div a1 in the fluid equation. We then investigate the effects of this term depending on the microswimmer nature and their distribution in the fluid.
引用
收藏
页码：6305 / 6341
页数：37
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