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- W4287689227 abstract "This paper is dedicated to the effective viscosity of suspensions without inertia, at low solid volume fraction $phi$. The goal is to derive rigorously a $o(phi^2)$ formula for the effective viscosity. In previous works, such formula was given for rigid spheres satisfying the strong separation assumption $ d_{min} ge c phi^{-frac13} r$, where $d_{min}$ is the minimal distance between the spheres and $r$ their radius. It was then applied to both periodic and random configurations with separation, to yield explicit values for the $O(phi^2)$ coefficient. We consider here complementary (and certainly more realistic) random configurations, satisfying soft assumptions of separation and long range decorrelation. We justify in this setting the famous Batchelor-Green formula. Our result applies for instance to hardcore Poisson point process with almost minimal hardcore assumption $d_{min} > (2+epsilon) r$, $epsilon > 0$." @default.
- W4287689227 created "2022-07-26" @default.
- W4287689227 creator A5067148779 @default.
- W4287689227 date "2020-08-14" @default.
- W4287689227 modified "2023-10-17" @default.
- W4287689227 title "Derivation of Batchelor-Green formula for random suspensions" @default.
- W4287689227 doi "https://doi.org/10.48550/arxiv.2008.06324" @default.
- W4287689227 hasPublicationYear "2020" @default.
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