TY - JOUR
T1 - Particle motion nearby rough surfaces
AU - Kurzthaler, Christina
AU - Zhu, Lailai
AU - Pahlavan, Amir A.
AU - Stone, Howard A.
N1 - Funding Information:
Acknowledgments. C.K. acknowledges support from the Austrian Science Fund (FWF) via the Erwin Schrödinger fellowship (Grant No. J4321-N27). The work was supported by NSF MCB-1853602 (H.A.S.). L.Z. thanks the Swedish Research Council for a VR International Postdoc Grant (2015-06334) and NUS for the startup grant (R-265-000-696-133).
Publisher Copyright:
© 2020 American Physical Society
PY - 2020/8
Y1 - 2020/8
N2 - We study the hydrodynamic coupling between particles and solid, rough boundaries characterized by random surface textures. Using the Lorentz reciprocal theorem, we derive analytical expressions for the grand mobility tensor of a spherical particle and find that roughness-induced velocities vary nonmonotonically with the characteristic wavelength of the surface. In contrast to sedimentation near a planar wall, our theory predicts continuous particle translation transverse and perpendicular to the applied force. Most prominently, this motion manifests itself in a variance of particle displacements that grows quadratically in time along the direction of the force.
AB - We study the hydrodynamic coupling between particles and solid, rough boundaries characterized by random surface textures. Using the Lorentz reciprocal theorem, we derive analytical expressions for the grand mobility tensor of a spherical particle and find that roughness-induced velocities vary nonmonotonically with the characteristic wavelength of the surface. In contrast to sedimentation near a planar wall, our theory predicts continuous particle translation transverse and perpendicular to the applied force. Most prominently, this motion manifests itself in a variance of particle displacements that grows quadratically in time along the direction of the force.
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U2 - 10.1103/PhysRevFluids.5.082101
DO - 10.1103/PhysRevFluids.5.082101
M3 - Article
AN - SCOPUS:85092048942
SN - 2469-990X
VL - 5
JO - Physical Review Fluids
JF - Physical Review Fluids
IS - 8
M1 - 082101
ER -