title: Velocity slip on curved surfaces.
abstract: The Navier boundary condition for velocity slip on flat surfaces, when expressed in tensor form, is readily extended to surfaces of any shape. We test this assertion using molecular dynamics simulations of flow in channels with flat and curved walls and for rotating cylinders and spheres, all for a wide range of solid-liquid interaction strengths. We find that the slip length as conventionally measured at a flat wall in Couette flow is the same as that for all other cases with curved and rotating boundaries, provided the atomic interactions are the same and boundary shape is properly taken into account. These results support the idea that the slip length is a material property, transferable between different flow configurations.
authors.affiliation: Benjamin Levich Institute and Departments of Physics, City College of the City University of New York, New York, New York 10031, USA.
authors.forename: Weikang
authors.initials: W
authors.lastname: Chen
authors.affiliation: Benjamin Levich Institute and Departments of Physics, City College of the City University of New York, New York, New York 10031, USA.
authors.forename: Rui
authors.initials: R
authors.lastname: Zhang
authors.affiliation: Benjamin Levich Institute and Departments of Physics, City College of the City University of New York, New York, New York 10031, USA.
authors.forename: Joel
authors.initials: J
authors.lastname: Koplik