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Velocity slip on curved surfaces.

Weikang Chen1, Rui Zhang1, Joel Koplik1

  • 1Benjamin Levich Institute and Departments of Physics, City College of the City University of New York, New York, New York 10031, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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The Navier boundary condition for velocity slip is transferable to any surface shape. Slip length is a material property, consistent across various flow configurations like curved and rotating boundaries.

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Area of Science:

  • Fluid dynamics
  • Surface science
  • Computational physics

Background:

  • The Navier boundary condition describes velocity slip at fluid-solid interfaces.
  • Extending this condition to complex geometries is crucial for accurate fluid flow modeling.

Purpose of the Study:

  • To investigate the generalizability of the Navier boundary condition for velocity slip to non-flat surfaces.
  • To determine if slip length is a universal material property across different flow configurations.

Main Methods:

  • Molecular dynamics simulations were employed to model fluid flow.
  • Simulations included channels with flat and curved walls, rotating cylinders, and spheres.
  • A wide range of solid-liquid interaction strengths were tested.

Main Results:

  • The slip length measured on flat surfaces was found to be consistent with measurements on curved and rotating boundaries.
  • This consistency holds when atomic interactions and boundary shape are appropriately considered.
  • The study confirms the tensor form of the Navier boundary condition's applicability to diverse geometries.

Conclusions:

  • The slip length is a transferable material property, independent of boundary shape.
  • The Navier boundary condition, in its tensor form, provides a unified description of velocity slip across various geometries.
  • Findings support the use of slip length as a fundamental parameter in fluid-structure interaction studies.