Effect of hydrodynamic slip on the rotational dynamics of a thin Brownian platelet in shear flow

The classical theory by Jeffery predicts that, in the absence of Brownian fluctuations, a thin rigid platelet rotates continuously shear flow, performing periodic orbits. However, stable orientation is possible if surface displays hydrodynamic slip length $\lambda$ comparable to or larger than thickness platelet. In this article, solving Fokker–Plank equation for distribution function and corroborating analysis with boundary integral simulations, we quantify threshold Péclet number, ${Pe}_{c}$ , above which such alignment occurs. We found that ${Pe}$ smaller but second threshold, regime emerges where fluctuations are strong enough break platelet's induce rotations, period rotation depends on value . For below has negligible effect orientational dynamics. use these thresholds classify dynamics graphene-like nanoplatelets realistic values apply our results quantification contribution effective viscosity dilute suspension slip. find non-monotonic variation term, minimum occurring when particle.