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When a fluid encounters a solid surface, a boundary layer forms due to the interaction between the fluid's motion and the stationary surface. This phenomenon is characterized by a thin region adjacent to the surface where viscous forces dominate, influencing the fluid's velocity profile. The development of the boundary layer begins at the leading edge of the surface and evolves as the fluid moves downstream.As the fluid flows over the surface, friction between the fluid and the wall slows down...
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Related Experiment Video

Updated: Mar 30, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
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Determining hydrodynamic boundary conditions from equilibrium fluctuations.

Shuyu Chen1, Han Wang2,3, Tiezheng Qian4

  • 1Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 14, 2015
PubMed
Summary

Molecular dynamics simulations reveal the precise location of hydrodynamic boundary conditions at the molecular scale. This approach accurately determines fluid slip length and bulk viscosity, offering insights into fluid behavior near solid surfaces.

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Area of Science:

  • Physics
  • Physical Chemistry
  • Materials Science

Background:

  • The hydrodynamic boundary condition at fluid-solid interfaces has remained a century-old problem.
  • Interfacial structures in fluids introduce complexities and ambiguities to this classical issue.

Purpose of the Study:

  • To use molecular dynamics to identify hydrodynamic modes from equilibrium thermal fluctuations.
  • To extend the fluctuation-dissipation theorem for accurate determination of hydrodynamic boundary location and macroscopic parameters.
  • To investigate hydrophilic and hydrophobic cases for fluid confinement.

Main Methods:

  • Employing molecular dynamics (MD) simulations to analyze equilibrium thermal fluctuations.
  • Utilizing the orthogonality condition of hydrodynamic modes to pinpoint the boundary.
  • Applying the eigenvalue equation of hydrodynamic modes to calculate slip length.
  • Deriving the Green-Kubo relation for finite fluid systems.

Main Results:

  • The hydrodynamic boundary is located within the fluid, a few molecules away from the solid-liquid interface.
  • Slip length is determined, showing a correlation with the distance from the interface (Δ).
  • Bulk viscosity is accurately obtained from decay times, consistent with dynamic simulations.

Conclusions:

  • This MD approach accurately determines hydrodynamic boundary conditions at the molecular scale.
  • The method provides a robust way to calculate slip length and bulk viscosity for confined fluids.
  • The approach is broadly applicable to structured interfaces, elastic interfaces, and two-phase immiscible flows.